how skanska can handle risks due to price fluctuations in commodity markets

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School of Business STOCKHOLM UNIVERSITY Master thesis 10 credits Spring semester 2006 How Skanska can handle risks due to price fluctuations in commodity markets -Is it Economic Effective to Use a Commodity Hedge? Authors: Andrea Arppe Supervisor: Jens Lindberg Fredrik Elfstadius

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Page 1: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

School of Business STOCKHOLM UNIVERSITY Master thesis 10 credits Spring semester 2006

How Skanska can handle risks due to price fluctuations in commodity markets

-Is it Economic Effective to Use a Commodity Hedge?

Authors: Andrea Arppe Supervisor: Jens Lindberg Fredrik Elfstadius

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Abstract This thesis is written in commission for Skanska Financial Services (SFS), which is a support unit that services the multinational construction company Skanska AB and Skanska�s Business Units, and coordinates the Group�s relations with financial markets and institutions. Construction companies that undertake construction projects face a number of unique problems. Of particular concern, is the fact that in many instances the final costs may be uncertain subject to substantial change, particularly changes in raw material costs. Increasing crude oil prices could turn projects expected to be profit generating into being unprofitable. The purpose of this thesis is to investigate how to protect a company, which knows it will have to buy a specific energy commodity in the future, against risks due to price fluctuations in the energy commodity market. Bitumen and diesel commodity hedges will be initiated by using the financial derivative instruments futures contracts and swaps. The effectiveness of the hedges will thereafter be evaluated from an economic perspective. The conclusions from the investigation are that futures contracts are not a good alternative for trying to create an effective bitumen hedge. To avoid the risk of entering a hedge that is neither effective from the perspective of locking in a price nor assumed to result in a financial gain, it is also not recommended to create a diesel hedge by using futures contracts. When it comes to swap hedges, there is no clear evidence that any of the specific type of swap constructions consistently will result in a total gain or loss. The timing has a major impact on the economic gain of a swap hedge, especially when hedging bitumen exposures. Moreover, it can be said that swap hedging offers great flexibility and possibility to fully lock in diesel and bitumen exposures. For Skanska it is preferable to hedge the diesel (QUSDL50-C-NWE) exposure with a bulk swap hedge for which the currency rate is fixed throughout the lifetime of the hedge. The bitumen (QHFO-ARA) exposure should be hedged with a 1 year swaps or a combined 1 year and 2 year swap hedge construction for which exchange rates are fixed according to the length of the swaps.

Key Words: Skanska, crude oil, bitumen, diesel, financial derivative instruments, futures contracts, swaps, hedging, hedge effectiveness, hedge ratio, prospective test, retrospective test, hypothesis test, IAS 39.

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Content 1 Introduction .......................................................................................................................5

1.1 Background..................................................................................................................5 1.2 Presentation of Problem...............................................................................................6 1.3 Purpose ........................................................................................................................8 1.4 Limitations ...................................................................................................................8 1.5 Hypotheses ...................................................................................................................8 1.6 Contribution.................................................................................................................9 1.7 Outline .........................................................................................................................9

2 Theoretical Background..................................................................................................10 2.1 The Oil Market...........................................................................................................10 2.2 Hedging......................................................................................................................11 2.3 The Futures Market ...................................................................................................12

2.3.1 The Futures Market in Practice.............................................................................12 2.3.2 Basis Risk ............................................................................................................13

2.4 The Swap Market .......................................................................................................14 2.4.1 The Swap Market in Practice................................................................................14 2.4.2 Benefits Versus Risks...........................................................................................15

2.5 IAS 39 ........................................................................................................................15 2.6 Earlier Research ........................................................................................................16

3 Method .............................................................................................................................18 3.1 Futures Contracts Hedge ...........................................................................................18

3.1.1 Cross Hedge.........................................................................................................18 3.1.2 Optimal Number of Contracts ..............................................................................18 3.1.3 Retrospective Test................................................................................................19 3.1.4 Prospective Test ...................................................................................................19 3.1.5 Hypothesis Test....................................................................................................20 3.1.6 Futures Hedge Data..............................................................................................20 3.1.7 Currency Exchange Rate Data..............................................................................20

3.2 Swap Hedge ...............................................................................................................21 3.2.1 Swap Hedge Price Data........................................................................................21 3.2.2 Swap Cases ..........................................................................................................21 3.2.3 Swap Evaluation ..................................................................................................22 3.2.4 Currency Exchange Rate Data..............................................................................22

3.3 Models (explicit for futures).......................................................................................23 3.3.1 Hedge Ratio .........................................................................................................23 3.3.2 Optimal Number of Contracts ..............................................................................23 3.3.3 Basis Risk ............................................................................................................24

3.4 Generalization, Reliability, Validity and Criticism of Sources ...................................25 4 Results and Analysis ........................................................................................................26

4.1 Bitumen Futures Hedge.............................................................................................26 4.2 Diesel Futures Hedge.................................................................................................27 4.3 Diesel Swap Hedge.....................................................................................................29 4.4 Bitumen Swap Hedge.................................................................................................31 4.5 Retrospective Tests for Bitumen and Diesel Swap Hedges.........................................33

5 Conclusions and Recommendations................................................................................34 5.1 Futures Contracts Hedge ...........................................................................................34 5.2 Swap Hedge ...............................................................................................................34

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6 Suggestions for Further Research...................................................................................35 7 References ........................................................................................................................36

7.1 Literature ...................................................................................................................36 7.2 Working Papers .........................................................................................................36 7.3 Websites .....................................................................................................................37 7.4 Verbal Sources ...........................................................................................................37

Appendix 1..........................................................................................................................38 Appendix 2..........................................................................................................................39 Appendix 3..........................................................................................................................41 Appendix 4..........................................................................................................................43 Appendix 5..........................................................................................................................44 Appendix 6..........................................................................................................................45 Appendix 7..........................................................................................................................46 Appendix 8..........................................................................................................................47 Appendix 9..........................................................................................................................49 Appendix 10 ........................................................................................................................50 Appendix 11 ........................................................................................................................51 Appendix 12 ........................................................................................................................56 Appendix 13 ........................................................................................................................61 Appendix 14 ........................................................................................................................67

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1 Introduction

1.1 Background This thesis is written in commission for Skanska Financial Services (SFS), which is a support unit that services Skanska AB and Skanska�s Business Units, and coordinates the Group�s relations with financial markets and institutions. SFS is responsible for the Group�s debt and for ensuring that the Group has adequate funding. It coordinates and carries out operative financial activities for the Business Units. For projects, SFS provides or procures contract guarantees, insurance and financial solutions. In addition, it manages risks that stem from the Group�s operations, including risks associated with interest rates, foreign exchange, credit and counterparty relationships, funding and liquidity1. Skanska is a multinational construction company with the mission to develop, build and service the physical environment for living, working and travelling. The vision is to become a world leader in construction-related services and project development. It was founded in Sweden 1887 and today it operates also in the US, UK, Denmark, Finland, Norway, Poland, the Czech Republic and South America. It has been listed on the Stockholm Stock Exchange since 1965. CEO of the company is Stuart Graham and Chairman is Sverker Martin-Löf. Skanska had a revenue of SEK 125 billions and 54 000 employees during 20052. The thesis will investigate how to handle risk due to price fluctuations in oil based products, by looking at a specific major road project in Poland. The new stretch of motorway is approximately 90 kilometres long and runs from north to south between Gdansk and Nowe Marzy in northern Poland. The entire construction project, which is the largest project to date in Poland, is valued at approximately EUR 500 million (SEK 4.6 billion) and will be led by Skanska Poland (80 percent) and carried out in collaboration with the Polish company NDI (20 percent). Skanska�s share of the contract amounts to EUR 400 million (SEK 3,7 billion) and is included in order bookings for the third quarter of 2005. Skanska Infrastructure Development is part of the ownership and investor consortium Gdansk Transport Company (GTC). Skanska�s share in the company amounts to 30 percent and Laing Roads from the UK, Intertoll of South Africa and NDI of Poland have the remaining shares. Skanska�s investment amounts to approximately EUR 10 million (approximately SEK 94 million).

The project is being conducted as a public-private partnership. The Polish infrastructure ministry and the ownership consortium in which Skanska is a member have signed a concession agreement entailing a total undertaking to design, finance, construct and operate the road. The ownership consortium will be responsible for operation and maintenance during the concession period, which extends until 2039. Payment from the Polish Road Authority will comprise a guaranteed basic payment for access to the road with supplements for traffic volumes through �shadow tolls�3. 1 www.skanska.com 2 Ibid. 3 Ibid.

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1.2 Presentation of Problem Construction companies that undertake construction projects face a number of unique problems. The contracts they enter into, and the work they do, can be very complex. The values of individual contracts can be extremely high and there is always the possibility of completion dates being delayed. Of particular concern, is the fact that in many instances the final costs may be uncertain and subject to substantial change. The measurement of contract revenue and costs arising from the fact that many constructions extend over long periods of time and are carried out under very uncertain conditions is a major difficulty when evaluating whether to enter a particular contract or not and when accounting for construction contracts. Such uncertainties could include unexpected construction problems, particularly changes in raw material costs. To a large extent, the future spends for Skanska�s project in Poland will be influenced if the oil market price in general changes. The most obvious examples are;

Material Total cost Influence from crude oil Bitumen 55 mil. zl 80% Diesel 65 mil. zl 90% Heating oil 15 mil. zl 90% Plastic pipes and geotextiles 25 mil. zl 50% Transport 140 mil. zl 20% Total value based on crude oil price 155 mil. zl

Table 1.1 Estimated future crude oil price exposure for the Polish A1 project4 To investigate how to protect Skanska from price fluctuations in the crude oil market, a distinction has to be made between the physical contract, i.e. the specific order received by Skanska, and financial contracts, i.e. contracts entered into to protect the order value against increasing costs. Future oil prices might be significantly different compared to those used as input in order to estimate the value of physical contracts received. Increasing crude oil prices could therefore turn projects expected to be profit generating into being unprofitable. In order to balance this crude oil risk to a certain extent, Skanska could consider using financial derivatives, which are assets whose values derive from that of some other assets5. They are used with the purpose to eliminate the risk by creating an effective hedge, i.e. an investment that is taken out specifically to reduce or cancel out the risk in another investment6. By exploiting financial derivatives, a risk averse buyer can use a hedge strategy to �lock in� the oil price for a specific asset which it knows it will have to buy in the future. This is desirable from an economic perspective, as it enables a company to estimate the value of a project and to decide whether it should be accepted or not. One alternative is to use the financial derivative instrument futures on crude oil, which is a contract to buy/sell a commodity or security on a future date at a price that is fixed today7.

4 Thomas Wieland, Skanska, 2006 5 Hull, 2003, p.704 6 Ibid., p. 707 7 Brealey, 2003, p.1044

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Another alternative is to use the financial derivative instrument swap, which is an agreement between two companies to exchange cash flows in the future8. In the case of Skanska�s project in Poland, additionally one risk arises due to the fact that the commodity purchases are settled and paid in the Polish currency zloty, while the financial commodity derivatives prices are settled in US dollars. This problem has to be regarded, when evaluating the effectiveness of using commodity derivatives from an economic perspective. In addition to the economic perspective, another reason for the importance of creating an effective hedge is that the European Union (EU) requires all companies listed on a stock exchange in an EU country to comply with International Accounting Standards (IAS) and to prepare consolidated accounts since 1 January 20059. When using financial derivatives, IAS 39 should be applied by all enterprises. If a financial asset instrument has been taken out to act as a hedge, hedge accounting rules should be followed if certain criteria are fulfilled10. IAS 39 requires a prospective effectiveness test to be met for hedge accounting to be available11. The hedging relationship is considered as effective when actual results are within the range of 80% to 125%12. If the prospective test fails to keep within the stated interval, hedge accounting can not be applied. If a company decides to use a hedging strategy anyway, the hedge results must be realized in the income statement of the accounting period. This might cause fluctuations of major significance in current income13, which is undesirable from the perspective of stock exchange listed companies, like Skanska, as the share price would probably fluctuate due to the result changes. This thesis will not look at the implications of IAS 39 values but use the 80%-125% range for evaluation. Even if hedges are not considered effective from an accounting viewpoint, they should be effective from an economic perspective14, as the reason for entering a hedging strategy otherwise is no longer motivated. Therefore, a good hedge from an economic perspective does not always go hand in hand with the hedge accounting framework. A hedge that fully locks in a targeted commodity price at the same time as being profitable might generate cash flows that fall outside of the interval necessary for maintaining hedge accounting. In these situations, a company must value the economic benefits associated with a hedge more than the possible benefits from using hedge accounting. There are also high administration costs associated with handling and implementing hedge accounting and this factor must also be considered when evaluating a hedge.

8 Hull, 2003, p.125 9 Webpage deloitte.com 10 Ibid., p.343 11 PriceWaterhouseCoopers, 2005, p.48 12 Ibid. 13 Ibid. 14 www.jpmorgan.com

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1.3 Purpose The purpose of this thesis is to investigate how to protect a company, which knows it will have to buy a specific energy commodity in the future, against risks due to price fluctuations in the energy commodity market. The purpose can be separated into two components;

1. To create a commodity hedge by using a financial derivative instrument.

2. To evaluate whether the hedge is effective or not from an economic perspective.

1.4 Limitations The thesis will only investigate how to protect a company against risks due to price fluctuations by analysing the oil related products bitumen, (bitumen is an asphalt component) i.e. fuel oil 3,5% (QHFO-ARA15), and diesel, (diesel is used for driving machinery etc.) i.e. fuel oil 50 ppm (QUSDL50-C-NWE16). The only financial derivative instruments that will be used are futures contracts and swaps. IAS 39 is a factor of importance when using financial derivative instruments. However, it will not be within the scope of this thesis except from the 80%-125% criteria of effectiveness when evaluating the hedges. Tender phase issues will be disregarded since it is a thesis on its own.

1.5 Hypotheses To test whether the created commodity hedges are effective or not according to the criteria of IAS 39, the following hypothesises are formulated17; Hypothesis 1:

8,0:0 ≤∧

βH

8,0:1 >∧

βH Hypothesis 2:

25,1:0 ≥∧

βH

25,1:1 <∧

βH The slope parameter β� describes the linear relationship between the value of the bitumen/diesel exposure and the value of the financial derivative instrument. IAS 39�s requirement of effectiveness within a range of 80-125% is translated into the requirement of a regression β between 0,8 and 1,2518. 15 ARA = Amsterdam, Rotterdam and Antwerp 16 NWE = North West Europe 17 For an illustration see Appendix 1 18 Reznek, 2005, p.5

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INTRODUCTION

THEORETICAL BACKGROUND

METHOD

RESULTS AND ANALYSIS

CONCLUSIONS AND RECOMMENDATIONS

In order to be confident about the effectiveness, the null hypothesis needs to be rejected at a low error probability level. Therefore a 2 % significance level is chosen ( 02,0=α )19.

1.6 Contribution This thesis adds to the rather limited amount of earlier research within this field. It is of interest for companies with large exposures towards future raw material costs and therefore are in need to protect themselves against associated risks. This is also of importance for stock exchange listed companies with a desire to smooth the income20 between different accounting periods, as they are concerned about a stable development of the share price21.

1.7 Outline The following figure illustrates the outline of this thesis;

Figure 1.1 Outline

19 Reznek, 2005, p.12 20 Income smoothing may be viewed as the deliberate normalization of income in order to reach a desired trend or level. 21 Riahi-Belkaoui, 2006, p.49-50

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2 Theoretical Background

2.1 The Oil Market The market participants can chose between different qualities of crude oil and refined products, of which sweet light crude oil is the most common. The currently most active exchanges are the New York Mercantile Exchange (NYMEX), on which oil is traded as Western Texas Intermediate (WTI) and the International Petrol Exchange (IPE), where oil is traded as Brent22. The current crude oil and oil products can be classified into three general categories; long-term contracts, spot market trade and derivative trade23.

Trade on the international oil market

Trade with derivatives Trade with the physical asset

Options ForwardsFuturesSwaps Long-term contract Spot market

Trade on the international oil market

Trade with derivatives Trade with the physical asset

Options ForwardsFuturesSwaps Long-term contract Spot market

Figure 2.1 Trade on the international oil market24

1. A long-term contract refers to trading crude oil or oil products that for a predetermined price are directly delivered from the producers to the oil customers. The prices are often based on the daily spot market quotations25.

2. The spot market trade for a commodity is the market for immediate delivery and

payment26.

3. Examples of derivatives that can be traded on the international oil market are options, swaps, futures and forwards.

- An option is the right, but not an obligation, to buy or sell an asset. A call

option is an option to buy an asset at a specified exercise price on or before a specified exercise date. A put option is an option to sell an asset at a specified

22 Geman, 2005, p.19-20, 201 23 Yazdanfar, 2003, p.45 24 Ibid., p.44 25 Ibid., p.45 26 Grinblatt, 2002, p.779

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exercise price on or before a specified exercise date27. A distinction is also made between American options, which are options that can be exercised at any time during its life28, and European options, which are options that can be exercised only at the end of its life29.

- A swap is an arrangement between two companies to exchange cash flows in

the future, e.g. in different currencies, or one at a fixed rate and the other at a floating rate. The arrangement defines the dates when the cash flows are to be paid and the way in which they are to be calculated30.

- A futures contract31 is a contract that obligates the holder to buy or sell an

asset at a predetermined delivery price during a specified future time period. Unlike forward contracts, future contracts are normally traded on an exchange. To make trading possible, the exchange specifies certain standardized features of the contract. The future contract is marked-to-market daily and the contract is usually closed out prior to maturity32.

- A forward contract is an agreement to buy or sell an asset at a certain future

time for a certain price33. The main differences between forward and futures contracts are summarized in Table 1.

Forward Futures

Traded on over-the-counter market Traded on an exchangeNot standardized Standardized contractUsually one specified delivery date Range of delivery datesSettled end of contract Settled dailyDelivery or final cash settlement usually takes place Contract is usually closed out prior to maturity Table 2.1 Comparison of forward and futures contracts34

2.2 Hedging Market participants with the aim to reduce a specific risk, for example oil price fluctuations, might use futures contracts or swaps trying to create a hedge, which, as earlier described, is a trade designed to reduce risk and the uncertainty of future cash flows35. An example is a construction company who wants to buy a given quantity of oil in the future but does not know what the actual spot price will be upon delivery. The buyer therefore faces the risk of significant price increases. Through buying futures contracts at the same time as the buyer contract for oil, while making an offsetting sale around the time the oil is delivered, a risk averse buyer can use a hedge strategy to �lock in� the oil price. In case of an oil spot price increase the buyer will take a loss on the physical transaction, but in theory the price of

27 Grinblatt, 2002, p.702, 710-711 28 Hull, 2003, p.700 29 Ibid., 2003, p.705 30 Ibid., 2003, p.125 31 For an illustration of futures price formation see Appendix 2 32 Brealey, 2003, p.1044 33 Hull, 2003, p.706 34 Ibid., p.36 35 Hull, 2003, p.70

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the futures contracts should rise in line with the physical commodity. A sale of the future contracts will lead to a compensating gain. A perfect hedge is when the gain on selling the futures contracts completely offsets the loss on the physical transaction and the risk as a result is entirely eliminated36. It is more or less impossible to create a perfect hedge in reality, due to basis risk, credit risk, commissions and other transaction costs. Basis risk37 will almost always be present when using futures contracts, perhaps resulting in undesirable results. The aim for the hedger is therefore to create hedges that perform as close to perfect as possible. It is usually much better to be hedged than being at risk for the entire quantity of oil38. A long hedge is one that involves taking a long position (i.e. buying) in a financial derivative, for instance a futures contract. It is suitable for a company that wants to lock in a price now for a specific asset which it knows it will have to buy in the future. It can also be used to partly offset an earlier entered short position. On the contrary, a short hedge refers to a short position (i.e. selling) in futures contracts. It is suitable when a company expects to sell an asset which it already owns at a specific point in time in the future. It can also be used when an asset is not owned right now but will be owned at some time in the future.

2.3 The Futures Market

2.3.1 The Futures Market in Practice The pricing opportunities for oil related products widen with the existence of future markets. The futures market is suggested to have the following functions;

• Makes it possible to reallocate risk. • To collect and distribute information about the market�s judgement of future prices. • To reallocate venture capital. • Makes delivery of the underlying asset possible.

The success of a futures market is depending on how well the defined criteria can be satisfied. The commodity has to be traded in large quantities. It should also be homogenous, i.e. no quality differences should exist. Production and consumption should be widely distributed. Trade should take place at an organized exchange with the function similar to an auction market, and the physical commodity should be purchased and sold in a way that causes its price to be volatile in a random or non-systematic manner39.

Brokers and clearing-houses are necessary to make the futures market work. The clearing-house acts as a seller to buyers, and buyer to sellers, i.e. its primary function is to perform as an intermediary in the transfer between traders. Among other things, the clearing-house contributes to the depersonalization of transactions. The individual traders do not have to gain insight about the financial strength of other traders since they are actually doing businesses with the clearing-house and not individuals. It should be emphasized that only brokers belong to the clearing-house and it is their accounts that are settled by this institution. Likewise, individual brokerage firms act as a clearing function for their clients40 41. 36 Hull, p.10-14; Geman, 2005, p.6-8 37 Ibid., 2003, p. 75 38 Ibid., 2003, p.70 39 Yazdanfar, 2003, p.54-56 40 For an illustration see Appendix 3 41 Yazdanfar, 2003, p.52-53; Geman, 2005, p.9-11

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2.3.2 Basis Risk Basis is the differential that exists between the spot price of a given commodity and the price of the nearest futures contract for the same, or a related commodity. It can also be described as the price difference between the physical and financial market. The forecasting ability and the size of the basis can involve four price relationships;

• The difference between the futures contract and the spot price of the underlying commodity.

• The difference between the price at the futures contract delivery point and the price at a different location.

• The price at the futures contract delivery point and the price of a similar, but not identical, quality commodity at the same location.

• The basis can be minimized if delivery is made and accepted at the same time as the futures contract nears expiration.

Different companies are exposed to different basis risks. Firms that want to hedge but do not make/take deliveries at the futures contract location faces the risk of locational basis. In the theoretical framework, the price differences between two markets will be based upon the transportation costs between them. Rapid changes in supply and demand on the local market can affect and distort this price relationship. The predictability of these changes in market conditions affect the ability to what extent a firm can hedge its exposure towards locational basis risk. Another kind of risk is the product basis. Firms that want to hedge a purchase or sale of a particular commodity not offered as a liquid futures contract are exposed to this risk. They have to base their hedge on historical values of the relationship between the commodity underlying the contract to the commodity to be hedged. A short hedger (a seller of futures) may face a loss if the basis widen during the time the hedge is held. This is because the spot prices have fallen more or risen less then futures prices. In a decreasing market the short hedger�s spot loss would exceed a gain on the short futures transaction. On the contrary the spot gain in an increasing market would be exceeded by the loss on the futures transaction. In contrast, for a long hedger (a buyer of futures) a widening basis would experience a gain because of the futures price in relation to the spot price. In summary, a narrowing basis results in gains for the short hedger and losses for the long hedger42. This is summarized in the following table.

42 Webpage nymex.com

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Table 2.2 Potential basis changes43

2.4 The Swap Market

2.4.1 The Swap Market in Practice As earlier mentioned a swap is an agreement to exchange cash flows in the future according to prearranged terms. Commodity swaps are cash settled and do not involve any physical delivery of the underlying commodity44. In comparison to futures contracts, swaps are traded Over The Counter (OTC), which is a telephone- and computer-linked network of dealers who do not physically meet. Trades are done over the phone and usually between two financial institutions or between financial institution and one of its corporate clients45. Therefore it must be at least two parties in a swap and they are sometimes labelled as party and counterparty. They may arrange the swap directly with each other or indirectly. In the latter case, a bank or financial institution acts as an intermediary46. Swaps are customized transactions and perfectly suited for hedging activities47. Swaps are a generalization of forward contracts. The buyer of a swap makes periodic payments to the seller of the swap at a fixed price per unit for a given notional quantity of a commodity. The seller pays the buyer an agreed upon floating price (reference price from Platts) for a given notional quantity of the commodity underlying the swap, where the underlying commodities are usually the same48. The fixed price of a swap is set at the beginning of each period and paid at the end of the period. It is derived from the yield curve of the underlying commodity49. Therefore, the most significant factor in determining the price of a swap is the term structure of forward prices in the market (i.e. yield curves of oil) that is being used by swap participants. For the derivation of each payment of the floating price, the existence of a reliable index is critical. The floating price is usually defined as the market price or an average market price, the average being calculated using spot commodity prices over some predefined period50. 43 Webpage nymex.com 44 Geman, 2005, p. 283-284 45 Hull, 2003, p. 2 46 Ibid., p. 129 47 Geman, 2005, p.284 48 Ibid., p.210 49 PriceWaterouseCoopers, 2005 p. 52 50 Geman, 2005, p.284

Rising Market Falling Market

Spot/Futures Position

Spot Rises Less Than Futures

Spot Rises More Than Futures

Spot Falls Less Than Market

Spot Falls More Than Futures

Bought the spot/sold the futures Loss Gain Gain Loss Sold the spot/bought the futures Gain Loss Loss Gain

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The main difference between futures and swaps is that a swap contract can offer a single fixed price for an entire period while a portfolio of futures contracts offers a sequence of different prices for each delivery month51. Although, it can be shown theoretically, that it is possible for all futures prices to be the same, it is more likely that futures will be in an upward (contango52) or downward (backwardation53) trend. The relative value of a swap contract compared to the portfolio of futures contracts will therefore depend on the slope (i.e. trend) of futures prices and whether the swap participant in question is hedging a short or long position on the physical oil market.

2.4.2 Benefits Versus Risks The attraction of swaps is four-fold. Firstly, there are no costs for buying/selling swaps. Secondly, they are straight forward financial transactions and can thereby be traded without incurring specific quality risks and other related delivery problems of the underlying commodity, which is normally associated with physical oil contracts. Thirdly, since swaps can be tailored exactly to meet the demands and requirements of each participant, they can really offer the possibility a perfect hedge. Fourthly, and finally, swaps are not constrained by the more or less limited term-structures of the prevailing forward and futures market and can therefore be traded far into the future. A conclusion from the above stated is that swaps with its unique tailoring and flexible abilities are well suited for filling the gaps left out by other traded derivatives in the oil market. As a result, business involving oil swaps has increased rapidly over the past few years54. The buyer of the swap reduces its exposure to the volatile commodity prices in the markets. It still, however, bears some risk. This is because there may be a difference between the spot price and the average spot price. The buyer is still purchasing the commodity and paying the spot price, and from the seller it receives the last month�s average spot price. Another risk associated with private arrangements between two parties is the credit risk. There is a possibility that one party will get into financial difficulties and default. That would affect the intermediary negatively as it still has to honour the contract it has with the other party. Moreover, liquidity issues such as getting out of the agreement or selling one side of the contract are frequently encountered problems55.

2.5 IAS 39 When using financial derivatives, IAS 39 should be applied by all enterprises. If a financial asset instrument has been taken out to act as a hedge, hedge accounting rules could be followed if certain criteria are fulfilled56. IAS 39 requires two kinds of effectiveness tests57;

• A prospective effectiveness test � a forward-looking test of whether a hedging relationship is expected to be highly effective in future periods. It is required, at a minimum, at the inception of the hedge and at the time an entity prepares its interim or

51 Long, 2000, Supplement 3 52 For an explanation see Appendix 2 53 Ibid. 54 Long, 2000, Supplement 3 55 Hull, 2003, p. 145 56 Ibid., p.343 57 PriceWaterhouseCoopers, 2005, p.48

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annual financial statements58. If this test is not passed, hedge accounting must be discontinued prospectively59.

• A retrospective effectiveness test � a backward-looking test of whether a hedging

relationship has actually been highly effective60, where actual results are within a range of 80% to 125%61, in a past period. It is required, at a minimum, at the time an entity prepares its interim or annual financial statements62.

Any ineffectiveness, i.e. gain or loss arising including ineffectiveness within the 80% to 125% interval, on re-measuring the hedging instrument and the hedged item should be recognised in the income statement in the period63. This might cause fluctuations of major significance on the income statement. Hedge accounting seeks to reflect the results of hedging activities by reporting the effects of the derivative and the risk being hedged in the same period as offsetting losses and gains. It seeks to match the timing of gain and loss recognition by changing the timing of recognition of gains and losses on either the hedged item or the hedging instrument. This avoids much of the volatility that would arise if the derivative gains and losses were recognised in the income statement, as required by normal accounting principles64.

2.6 Earlier Research Earlier research in Sweden within the field to investigate the effectiveness in using commodity futures contracts to hedge against commodity price exposures from an economic perspective seem to be of a rather limited amount.

A master thesis arguing about whether an active hedging strategy could improve the profitability for a company with a high commodity exposure or not, has been written at Lund University. It has chosen the aluminium company Rexam as a case study to analyse whether an improvement of its aluminium costs by using forwards or options could be statistically and economically motivated.

At Jönköping University a Bachelor thesis has been written about the volatility associated with commodities and the optimal hedge ratio for copper, gold, oil and cotton. The study aims to conduct an analysis of the variance in different commodities contracts and provide evidence of the optimal hedge ratio in the respective commodities.

When it comes to IAS 39, there are several qualitative Bachelor and Master Thesis discussing its impact on companies65.

When taking a look outside of Sweden, the range of earlier hedge effectiveness research is much wider, especially from the US. For example, Sparks Companies 2001 made an analysis of hedge effectiveness for the new cash-settled corn and soybean futures contracts

58 PriceWaterhouseCoopers, 2005, p.14 59 Ibid. p.48 60 Ibid., p.14 61 Webpage deloitte.com 62 PriceWaterhouseCoopers, 2005, p.14 63 Webpage deloitte.com 64 PriceWaterhouseCoopers, 2005, p.7-9 65 Göthlin, 2005; Hallén, 2005; Hansson, 2004

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that were to begin to be traded at the Minneapolis Grain Exchange (MGEX) in February 200266.

Another example is an article about optimal hedging in futures markets with multiple delivery specifications, published in the Journal of Finance. Optimal hedging strategies in futures markets allowing delivery for more than one quality of the underlying asset were derived. The effectiveness of the optimal hedging strategies was then compared with a full hedge and with a no-hedge strategy67.

66 Sparks Companies, 2001 67 Kamara, 1987

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3 Method

3.1 Futures Contracts Hedge

3.1.1 Cross Hedge As earlier mentioned, it is not always possible to buy or sell futures contracts of exactly the same commodity or financial instrument as the entity being hedged. For instance, a company that forecasts a need to purchase diesel in the future might decide to buy gas oil futures to try to lock in the price, as diesel futures contracts are not traded on the commodity exchanges. This make it necessary to carry out with cross hedging, a technique for hedging an asset with a derivative contract which has a different but related underlying asset than the one being hedged. This includes calculating the hedge ratio h*, i.e. the ratio of the size of the position taken in futures contracts to the size of the exposure. If the objective of the hedger is to minimize risk, setting the hedge ratio equal to 1,0 is not necessarily optimal. To derive the optimal hedge ratio, a regression between the changes in historical spot prices against the changes in historical futures prices for the same period needs to be done. A number of historical time points will be selected and the changes in the spot/futures prices will be observed and analysed. Depending on the length of the hedge it is optimal to choose a time interval that is consistent with the time for which the hedge is in effect. This provides the necessary input needed for calculating the optimal number of futures contracts needed for the hedge68. In order to evaluate whether it is possible to create optimal hedges to protect a construction company against its bitumen, i.e. fuel oil 3,5% (QHFO-ARA), and diesel, i.e. fuel oil 50 ppm (QUSDL50-C-NWE), price exposures; Brent futures (CL 3M69) will be used as a proxy for bitumen and gas oil futures (QS 3M) will be used as a proxy for diesel, as there are no outstanding futures contracts on bitumen or diesel. In order to try to lock in the price fully, it would be necessary to buy futures contracts all at once that expire at the different points in time at which commodity purchases are planned to be carried out, for example in 6 months, 1 year, 1.5 years and so on70. The reason for only selecting futures contracts stretching over 3 months is that bitumen and diesel contracts for longer periods are not liquid enough or not even available on the commodity exchanges. Instead, a new hedge will be entered into every 3 months, with the result of continuously locking in the price 3 months ahead.

3.1.2 Optimal Number of Contracts To derive the number of futures contracts that would be optimal to enter into, the different quantities of total future bitumen and diesel purchases with hence taken to Skanska�s Polish A1-project need to be estimated. This has been done by Skanska. By dividing each of the estimated figures for total future bitumen and diesel spends by the remaining 3 years of construction until completion71, the annual quantity expected to be consumed can be derived for each commodity.

68 Hull, 2003, p.78-80 69 M = months 70 Webpage aerweb.com 71 Thomas Wieland, Skanska, 2006

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The purchases are expected to be made at the beginning of each quarter. Due to seasonal reasons72, 10% of the costs are expected to be consumed during Q1 and Q4 respectively, and 40% of the costs during Q2 and Q3 respectively.

The size of the futures contracts is of 1000 barrels for Brent73 and 100 metric tons for gas oil74. From this information it is possible to calculate the optimal number of futures contracts needed to be bought in order to carry out with the hedge.

3.1.3 Retrospective Test The most basic test for hedge effectiveness is the dollar-offset method. Implementation of the method consists of dividing the observed values of the commodity purchase value being hedged, by the corresponding values of the hedging instrument. The ratios are compared to the effectiveness intervals stated by IAS 39 (i.e. 80%-125%). IAS 39 both permits the dollar-offset ratio to be calculated by dividing the absolute period-to-period change in the purchase value by the absolute period-to-period hedge return, and on a cumulative basis. In most cases, the last mentioned is the most favourable for the reason that temporary discrepancies between the hedged item and its hedge may be absorbed. In this thesis, the dollar-offset test on a monthly basis will be used for the retrospective test, both on a period-to-period basis and on a cumulative basis. However, in real life IAS 39 requires the choice between those two alternatives to be specified before initiation of the hedge75. The ratios will both be derived by dividing the commodity purchase value and the value of the hedging instrument stated in US dollars, but also converted into the Polish currency zloty, as this is the currency of interest for Skanska�s A1-project in Poland. In the latter case, the volatility of the Polish currency will also have an impact on the effectiveness of the hedge. Finally, the basis will be calculated for the different testing time points.

3.1.4 Prospective Test The dollar-offset method can easily disqualify a high quality hedge because of uncharacteristic performance in a single test period. However, IAS 39 also permits alternatives such as statistical tests, like regression analysis. Statistical testing for hedge effectiveness is based on valuation of the likelihood that the hedge will be effective in the future. The underlying assumption is that the statistical relation valid in the past will also hold for the future. Even though the dollar-offset method shows that the hedge is ineffective, the regression analysis might allow hedge accounting for the current period. If a regression indicates that the hedge can be expected to be effective in future periods, a company can continue to apply hedge accounting irrespective of the outcome of the dollar-offset test in the current period76. In this thesis, the prospective test will constitute of this kind of statistical test, represented by a rolling regression, i.e. three new values will continuously be added as input for each new regression at the same time as three historical values are excluded77.

72 Thomas Wieland, Skanska, 2006 73 Webpage theice.com 74 Webpage platts.com 75 Reznek, 2005, p.2 76 Ibid., 2005, p.3 77 Thomas Wieland, Skanska, 2006

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3.1.5 Hypothesis Test To evaluate whether the hedging relationship is expected to be highly effective or not in future periods, a hypothesis test of the coefficients generated by the prospective tests will be made to see if the average gain or loss achieved is within the 80%-125% interval based upon the criteria of IAS 39. In case they are, a backward-looking test of whether the hedging relationships have actually been highly effective or not, i.e. within the 80%-125% interval, during the past period will also be carried out. The tests will influence the decision about whether a company should implement a hedging strategy to protect themselves towards price fluctuations in the commodity market or not.

3.1.6 Futures Hedge Data Monthly data of prices for Brent futures (CL 3M) and gas oil futures (QS 3M) is collected from Bloomberg. Spot prices data for bitumen, i.e. fuel oil 3,5% (QHFO-ARA), and diesel, i.e. fuel oil 50 ppm (QULSD50-C-NWE), is collected from Reuters data base on a monthly basis. In order to get enough scope for a valid prospective test, data of more than 12 observations and a data series covering a longer history, for example one year, are recommended for each regression78. To be able to evaluate the effectiveness of futures hedges during a longer time horizon, a bitumen hedge is assumed to be initiated 2001-12-31. The construction at Skanska�s A1-project in Poland is, as earlier mentioned, expected to continue during 3 more years79. Brent futures prices and bitumen spot prices data is therefore collected on a monthly basis from 1999-01-31 to 2006-04-30, making it possible to base each prospective test on 36 observations (to fulfil the earlier mentioned criteria of at least 12 observations) covering three historical years (to correspond to the remaining time of during which the Polish A1-project will be under construction). Gas oil futures prices and diesel spot prices data is collected on a monthly basis between 2002-09-30 to 2006-04-30, for the reason that fuel oil 50 ppm only is available from that date. To be able to base each prospective test on 36 observations, the diesel hedge is assumed to be initiated 2005-09-30.

3.1.7 Currency Exchange Rate Data The currency exchange rate spot data for the retrospective tests of the futures contract hedges has been collected on a monthly basis from Reuters database between 2002-09-30 and 2006-04-30.

Forward exchange rates on 1M, 3M, 6M, 9M and 1Y has also been collected from Reuters database between 2002-09-30 to 2006-04-30.

78 Reznek, 2005, p.4 79 Thomas Wieland, Skanska, 2006

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3.2 Swap Hedge An investigation of bitumen and diesel swap hedges covering 1Y80, 2Y and 3Y will be carried out, based on the fact that projects that construction companies, like Skanska, undertake often stretch over longer time periods. The swap hedge formation can be separated into three different steps;

3.2.1 Swap Hedge Price Data Bitumen and diesel swap prices for 1M, 3M, 3Q and 4Q will be used in this thesis. Bitumen spot and swap quotes data, i.e. fuel oil 3,5% (QHFO-ARA), for 1M, 3M, 3Q and Q4 will be collected from Reuters database. Diesel swap quotes data, i.e. fuel oil 50 ppm, is traded as a forward premium (QGO-50P) added to the diesel spot price (QULSD50-C-NWE). The spot prices and the forward premiums for 1M, 3M, 3Q and Q4 are collected from Reuters. All data is collected on a monthly basis between 2002-09-30 and 2006-05-31.

Due to the fact that bitumen and diesel swap prices are only available for 1M, 3M, 3Q and 4Q, it is necessary to create swap price quotes for 1Y, 2Y and 3Y bitumen and diesel swaps. From Nordea bank, forward prices stretching over 1M, 6M, 1Y, 2Y and 3Y for diesel and bitumen are received 2006-05-24. The fixed 1Y, 2Y and 3Y swap prices for diesel and bitumen on 2006-05-31 can mathematically be derived from the received forward prices. The derived prices will be compared and divided by the outstanding spot prices on the same dates. Then, the fixed curvature for the future prices will be applied throughout the database. The discount or premium of the outstanding spot prices for different maturities will be multiplied backwards with the spot prices between 2002-09-30 and 2006-05-31 (i.e. by using the fixed curvature for future prices 2006-05-31). The prices received have a very good correlation and R2 towards the actual short-term forward curve (about 99%). The swap quotes derived will therefore be based on what the yield curve looks like 2006-05-31.

3.2.2 Swap Cases The first hedge construction will consider the effect of applying bulk volume, i.e.

the volume that is left to consume at the end of the hedge has been considered. The hedge will consist of a hedge for one year at a time. The spot price used for pricing the first hedge initiated will be used also for the second and third hedges. However, the forward premiums for each of the hedges will correspond to the time point at which each hedge is initiated. The exchange rate (zl/$) is locked in for the entire period. The hedge will be initiated 2002-10-31 and closed out 2005-09-30. In order to analyse possible timing issues, the same swap hedge will be assumed to be entered into at two new time points set to 2003-01-31 and 2003-04-30. Similarly to the futures contract hedges, the volume will be calculated with consideration taken to Skanska�s forecasted consumption for the remaining construction time of the project.

The second hedge construction will consist of a hedge for one year at a time. The first 1Y swap will be initiated 2002-10-31 and closed out 2003-09-30. The second 1Y swap will be started 2003-10-31 and closed out 2004-09-30. The third and final 1Y swap will be initiated 2004-10-31 and closed out 2005-09-30. In order to analyse possible timing issues, the same swap hedge will be assumed to be entered into at two new time points set to 2003-01-31 and 2003-04-30. The exchange rate (zl/$) will be locked in (hedged) on a period-to-period basis (i.e. a new currency hedge for every new swap initiated) over the whole swap period, i.e. 3 years, in order to capture the currency effect of the hedge.

80 Y = years

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The third hedge construction will consist of one 1Y swap and one 2Y swap. The first 1Y swap will be initiated 2002-10-31 and be closed out 2003-09-30. The final and second 2Y swap will be started 2003-10-31 and closed out 2005-09-30. In order to analyse possible timing issues, the same swap hedge will be assumed to be entered into at two new time points set to 2003-01-31 and 2003-04-30. The exchange rate (zl/$) will be locked in for first one year and then two years ahead.

In total, three different cases will be carried out for each of the bitumen and diesel swap hedges. This is summarized in the following table.

Time Swap Case Specification2002-10-31 - 2005-09-30 1 Hedging with 1 year swap (Bulk - Exchange rate fixed for 3 years)2003-01-31 - 2005-12-31 1 ― װ ― 2003-04-30 - 2006-03-31 1 ― װ ―

2002-10-31 - 2005-09-30 2 Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead)2003-01-31 - 2005-12-31 2 ― װ ― 2003-04-30 - 2006-03-31 2 ― װ ―

2002-10-31 - 2005-09-30 3 Hedging with 1 and 2 year swap (Exchange rate fixed for first 1 year then 2 year ahead)2003-01-31 - 2005-12-31 3 ― װ ― 2003-04-30 - 2006-03-31 3 ― װ ―

Table 3.1 Illustration of three different swap cases

3.2.3 Swap Evaluation The swaps will be evaluated by calculating the following differential for each month throughout the hedging period;

fixed swap price * fixed exchange rate * volume - spot price * spot exchange rate * volume When presenting the results of the evaluation, the part of the equation on the right side of the subtraction sign will be called �No Hedge� while the part of the equation on the left side of the subtraction sign will be named �Hedge�. The results from the different swaps will be presented as time series in diagrams, where the zloty costs from the hedge are accumulated over the entire hedge period. An analysis of the different outcomes illustrated in the diagrams will represent the decision criteria for whether it is preferable or not to hedge bitumen and diesel exposures by using swaps. A backward-looking retrospective zloty-offset test will also be carried out with the same approach as for the futures contracts81.

3.2.4 Currency Exchange Rate Data The currency exchange rate spot data for the swap hedges has been collected on a monthly basis from Reuters database between 2002-09-30 and 2006-05-31.

Forward exchange rates on 1M, 3M, 6M, 9M and 1Y has also been collected from Reuters database between 2002-09-30-2006-05-31.

81 Skanska will only consider initiating a swap hedge based on the effectiveness from an economic perspective. A prospective test will therefore not be made for the swap hedges.

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3.3 Models (explicit for futures)

3.3.1 Hedge Ratio The following notations will be used;

=∆S Change in the spot price, S, during a period of time equal to the life of the hedge =∆F Change in the futures price, F, during a period of time equal to the life of the

hedge =Sσ Standard deviation of S∆ =Fσ Standard deviation of F∆

=ρ Coefficient of correlation between S∆ and F∆ =*h Hedge ratio that minimizes the variance of the hedger�s position

The optimal hedge ratio is the product of the coefficient of correlation between ∆S and ∆F and the ratio of the standard deviation of ∆S to the standard deviation of ∆F;

The optimal hedge ratio, h*, is the slope of the best fit line when S∆ is regressed82 against ∆F. The hedge effectiveness can be defined as the proportion of the variance that is eliminated by hedging. This is 2ρ , or

2

22*

S

Fhσσ

=

The parameters ρ , Fσ and Sσ are usually estimated from historical data on S∆ and F∆ . The implicit assumption is that the future will in some sense be like the history. The number of equal non-overlapping time intervals are selected and the values of S∆ and F∆ for each of the intervals are observed. It is optimal that the length of each time interval is the same as the length of the time interval for which the hedge is in effect. In practice, this sometimes severely limits the number of observations that are available and a shorter time interval is used83.

3.3.2 Optimal Number of Contracts The following notations will be used;

=AN Size of position being hedged (volume) =FQ Size of one futures contract (volume) =*N Optimal number of contracts for hedging

82 Regression analysis is in statistics a technique for finding the line of best fit. 83 Hull, 2003, p.79

F

Shσσρ=*

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The futures contracts used should have a nominal value of ANh * . The number of futures contracts required is therefore given by84;

F

A

QNhN ** =

3.3.3 Basis Risk The basis risk, which is fundamental to understanding hedging, is defined as;

)(, tFSBasis TtTt −=

where

=tS the spot price when the hedge is being initiated at time t =)(tF T the futures price at time t, where T is the time to maturity of the futures contract

and the time when the hedge is closed out. The basis is usually quoted as a discount or premium; the spot price as a discount or premium to the futures price85. As the market participants analyse their risk in a mark-to-market perspective at date t and not only a date T, the basis risk is often defined as the variance86 of the basis;

))(()(2))(()())(( 222 tFStFStFS Tt

Tt

Tt σρσσσσ −+=−

where ρ = the correlation of coefficient between the futures and spot price series. The equation shows that basis risk is zero when;

1. variances between the futures and spot prices are identical and 2. the correlation coefficient ρ between spot and futures price is equal to one.

In practice, the second condition is the most stringent one and the magnitude of basis risk depends mainly on the degree of correlation between spot and futures prices87.

84 Hull, 2003, p.80 85 Ibid., p.14 86 The variance is the mean squared deviation from the expected value, i.e. a measure of variability. 87 Geman, 2005, p.14

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3.4 Generalization, Reliability, Validity and Criticism of Sources The conclusions drawn from this investigation can be applied by other companies than construction companies like Skanska, with an exposure towards the same underlying commodities. It is also of relevance for all companies listed on a stock exchange in an EU country that as a result need to comply with International Accounting Standards (IAS) since 1 January 2005. As a consequence, the degree of generalization of the results can be considered as high. Reliability is the question of whether a method generates the same results irrespective of whom the investigator is and the time of the survey88. When it comes to the futures contracts hedge evaluation, the measuring method used is well suited for the purpose of the investigation and recommended by well-known accounting companies89. Moreover, it is easy to implement for a practician, which arguments for that the reliability of this thesis is good. Though, the reliability of the swap hedges tests could be questioned due to the fact that the created data series are based on a number of subjective assumptions. What advocates for a high reliability, is that the swap hedge method is developed in cooperation with Skanska and Nordea. It means that results generated by other researchers with a similar approach and the same access to data should not differ significantly in comparison to this study. An investigation of the validity of the study constitutes of whether the methods used in the study measure what they are supposed to measure90. The thesis can be considered to have a high validity, as the methods used are highly accepted as testing instruments for these kinds of investigations. By choosing input variables and parameters carefully, flaws associated with these kinds of measuring methods can be minimized. The data sources from which the data has been collected, i.e. Reuters and Bloomberg, are used by many different and well-established market actors, and can therefore be considered as reliable.

88 Gustavsson, 2003 p.55 89 Deloitte, PriceWaterHouseCoopers 90 Gustavsson, 2003, p.62

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4 Results and Analysis

4.1 Bitumen Futures Hedge A graphical look at the bitumen data91 shows that the spot prices and the futures prices follow each other pretty good, but with an initial spread which increases significantly in the beginning of 2004 and continues to widen throughout the rest of the time series92. The graph suggests that the hedge might be ineffective. Clear and substantial variations over significant time periods indicate a volatile hedge performance. The graphical comparison often gives a good hint about the hedge performance, but it does not provide a statistical test of effectiveness. The bitumen data generates 18 different regressions for the prospective test93.

Regression - Prospective Test

β = 1,36

R2 = 99 %

5

10

15

20

25

30

35

40

5 10 15 20 25 30

QHFO-ARA ($/bbl)

Brent Futures 3M ($/bbl)Brent Futures 3M

Linear (Brent Futures 3M)

Graph 4.1 QHFO-ARA � Example of prospective test 2002-09-30

According to the hypothesis tests94, all of the 18 derived coefficients pass the lower test criteria, i.e. the null hypothesis is rejected. However, none of them pass the upper test criteria, i.e. the null hypothesis is accepted. The hypothesis tests are illustrated by the following graph;

91 For an illustration see Appendix 4 92 For an illustration of the historical price development of Brent futures 3M see Appendix 5 93 For an illustration see Appendix 6 94 For an illustration see Appendix 7

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Prospective Test - QHFO-ARA

0,6

0,7

0,8

0,9

1,0

1,1

1,2

1,3

1,4

1,5

1,6

12-01

-2001

03-01

-2002

06-01

-2002

09-01

-2002

12-01

-2002

03-01

-2003

06-01

-2003

09-01

-2003

12-01

-2003

03-01

-2004

06-01

-2004

09-01

-2004

12-01

-2004

03-01

-2005

06-01

-2005

09-01

-2005

12-01

-2005

03-01

-2006

Coefficient β

Upper Boundary

Low er Boundary

Graph 4.2 QHFO-ARA � Prospective test for the entire period As a result, the hedge can not be expected to be effective in the future for none of the tests. For this reason, there is no meaning in entering a hedge and to continuously evaluate it retrospectively.

4.2 Diesel Futures Hedge A graphical look at the diesel data95 shows that the spot prices and the futures prices track each other very well96. The graph suggests that the hedge might be effective for some specific time periods. The diesel data generates three different regressions for the prospective test97. According to the hypothesis tests, all of the three derived coefficients pass both the lower and the upper test criteria, i.e. in both cases the null hypothesis is rejected.

95 For an illustration see Appendix 4 96 For an illustration of the historical price development of gas oil futures 3M see Appendix 5 97 For an illustration see Appendix 6

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Table 4.1 QULSD50-C-NWE versus gas oil futures 3M As a result, the hedge can be expected to be effective in the future for all of the tests. For this reason, it makes sense to enter a hedge and to continuously evaluate its performance retrospectively.

The retrospective test98 passes the IAS 39 criteria only two times out of seven on a period-to-period basis, with results ranging between 0,69-8,36. On a cumulative basis all of the ratios fall outside of the interval, with 0,52 as the lowest value and 2,03 as the highest value. The narrower value interval for the cumulative method is in line with the earlier comment that the cumulative method often smoothes out temporary discrepancies, in comparison to the period-to-period test. According to the actual results, the hedges can not be considered as effective within the framework of IAS 39. The explanation for the ineffectiveness is the big variations of the basis, ranging between -0,3 and 28. In order for the hedge to be effective, the basis has to stay fairly constant throughout the hedge99.

The reasons for the basis fluctuations could be the difference between the price at the futures contract delivery point and the spot price different location. Skanska purchases the diesel in Poland, at the same time as the gas oil futures contracts offer delivery in the Netherlands in Amsterdam, Rotterdam or Antwerp. Transportation costs for delivery between the local areas and the specific futures contracts� delivery point might result in price differences.

It could also be because of the fact that diesel futures are not offered as a liquid futures contract on the market at present, and gas oil futures contracts instead have been used as a proxy for the hedge. Even though gas oil and fuel oil 50 ppm are closely linked products, their qualities are not exactly the same. This should obviously affect the pricing between the two products.

Moreover, the basis might also be explained by the time difference between the diesel purchases and the expiration of the futures contracts. The timing effect could create sever discrepancies in some months when the future contract is closed out several days before taking delivery on the spot prices.

When looking at the retrospective test when its values are converted into zloty100, it can be seen that the IAS 39 criteria is passed only two times out of seven on a period-to-period basis, with results ranging between -4,30 to 2,16. 2005-12-31 the ratio is negative, which is explained by an appreciation of the zloty/dollar exchange rate. Therefore, it

98 For an illustration see Appendix 8 99 For an illustration of the relationship between the futures prices, the spot prices and the basis; see Appendix 9 100 For an illustration see Appendix 8

QULSD50-C-NWE Versus Gas Oil Futures 3MConditional On True Beta Equal to 0,8

Coefficient Observed T-Value Critical T-Value Result 09/30/2005 0,89 8,40 2,42

Reject Ho

12/31/2005 0,90 6,92 2,42 Reject Ho

03/31/2006 0,92 11,93 2,42 Reject Ho

Conditional On True Beta Equal to 1,25

Coefficient Observed T-Value Critical T-Value Result 09/30/2005 0,89 -34,76 -2,42 Reject Ho

12/31/2005 0,90 -24,28 -2,42 Reject Ho

03/31/2006 0,92 -34,21 -2,42 Reject Ho

β

β

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is of significant importance to consider the risk of currency fluctuations when entering into a commodity hedge, as it might have a major impact on its effectiveness. On a cumulative basis, none of the tests are passed. If the currency is locked in by using forward contracts101, the results are similar to the dollar-denominated test but the different values are far better than for the test with the unhedged currency risk.

From an economic perspective, all of the hedges with a dollar/zloty-offset ratio less than 1 can be regarded as a gain, i.e. the gain on the futures position is higher than the loss on the purchase position, i.e. spot position. This is valid for all of the 3M-hedges initiated 2005-12-31. For all of the hedges entered into 2005-09-30 and 2006-03-31, the gain on the futures position is less than the loss on the purchase position, i.e. the dollar/zloty-offset ratio is above 1. Those hedges can therefore be regarded as a loss from an economic perspective.

Due to the fact that it is only possible to buy futures contracts stretching over 3 months and Skanska�s project stretches over 3 more years, it is questionable whether the effort needed to enter a hedge can be motivated, as only a very small part of the project can be covered from the day it is accepted.

Finally Skanska will be exposed towards the risk of sell/buy spreads every time the futures contract will be rolled over for another 3 month period. The spread might vary from time to time and might cause Skanska extra unnecessary cost.

4.3 Diesel Swap Hedge In case 1 the results102 show that it would have been preferable from an economic perspective to stay hedged by using a bulk swap stretching over 3 years, as it would have resulted in a lower cost compared to being unhedged.

Case 1

0

5

10

15

20

25

30

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Graph 4.3 Case 1 - Diesel swap hedge

101 For an illustration see Appendix 8 102 For an example of how the results of the swap hedge cases have been arranged see Appendix 10

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After the first year the hedge still generates a loss but after approximately 1,5-2 years a gain on the hedge starts to appear. The total gain on the hedge is 3,7 million zloty103, when the hedge is closed out (i.e. 3 years later). Over 3 years the spot price has increased by about 254% and it would certainly be surprising if a 3 year hedge would not profit from this opportunity. The exchange rate is also locked in over the entire period, which dampens the total gain that could have been earned on the hedge. The main reason for this is that the spot exchange rate has appreciated towards the dollar by about 20% during this 3 year period and by locking in the exchange rate from the beginning of the swap it is not possible to capture the gain from positive movements of the exchange rate.

Case 2, i.e. hedging with 1 year swaps, results in a gain as well. The fixed exchange rate for 1 year ahead in addition to the favourable exchange rate movements has a positive impact on the hedge. The total gain on the hedge is approximately 0,7 million zloty104.

The fact that the fixed swap price is updated once a year makes it more adjusted to the spot price movements. This has negative effects on the gain of the hedge in comparison to a swap stretching over 3 years. From an economic perspective both hedges are profitable. Though, the preferred hedge choice would be the 3 year bulk swap with the exchange rate fixed over the entire period. It offers Skanska the opportunity to lock in the price both for the underlying commodity price risk as well as the risk of fluctuating exchange rates over the entire 3 year period. It makes it a good choice when the underlying commodity against which price risk protection is desirable is volatile. What can be better then locking in Skanska�s underlying commodity exposure for a long period and at the same time gain from it? However, it is important to keep in mind that the historical gain from an economic perspective might not be reiterated in the future. Even though a swap initiated in the future will fully lock in the commodity exposure in a similar way, the hedge might result in a loss from an economical perspective due to a different price development in the future. This investigation has been carried out when the forward curve has been an increasing function of maturity, i.e. the situation of contango. If the forward curve would have been a decreasing function of maturity, i.e. the situation of backwardation, the outcome of the hedge evaluation might have been different.

The evaluation of the timing effect on the hedge for case 1 and case 2105 indicates that it is a factor of importance. They clearly illustrate the importance of timing and its economic impact on the hedge. Hedging initiated at 2002-10-31 and 2003-01-31 result in a gain for both of the cases, but hedging initiated 2003-04-30 results in a loss. The question is whether the timing effect motivates or disqualifies the decision to hedge. The future cannot be foreseen and the risk of facing a loss must be weighed against the advantages of knowing the total cost of a large scale project. In case 3 all of hedges generate positive results106. The timing effect influences the total result but it seems to be of less importance than for the other two cases. The best result occurs when the hedge is initiated 2003-01-31 and closed out 2005-12-31, with a total gain of 4,8 million zloty. This is illustrated in the following graph;

103 For an illustration see Appendix 11 104 Ibid. 105 Ibid. 106 Ibid.

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Case 3

0

5

10

15

20

25

30

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Graph 4.4 Case 3 - Diesel swap hedge

4.4 Bitumen Swap Hedge The results for case 1 and case 2107 are very difficult to interpret because of the indecisive results. When initiating hedging 2002-10-31 both cases show that it would have been preferable from an economic perspective to stay unhedged, as it would have resulted in a lower cost compared to being hedged. This is illustrated by the following graph;

Case 2

0

10

20

30

40

50

60

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Graph 4.5 Case 2 � Bitumen swap hedge

107 For an illustration see Appendix 12

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The bulk swap hedge results in a total loss of 5,9 million zloty108 when the hedge is closed out after 3 years. The spot price has increased by 207% over 3 years, with most of the price increases occurring during the last hedging year. The exchange rate is also locked in over the entire period which strengthens the total loss of the hedge, mainly because of the spot exchange rate appreciation towards the dollar. Hedging with 1 year swaps with the exchange rate fixed for 1 year ahead, i.e. case 2, gives a total loss of 1,2 million zloty109. Both of the swaps have continuously underperformed (i.e. resulted in higher costs) compared to the �No Hedge� position.

In summary, hedging with 1 year swaps gives better results than the 3 year bulk swap. The 1 year swaps mitigates the loss by about 4,7 million zloty in comparison to the 3 years bulk swap. The favourable fixed swap price development in combination with capturing the benefit of the zloty/dollar appreciation makes this hedge alternative the most preferable choice.

From an economic perspective both of the hedges are unprofitable. The 1 year swap is preferable as it is not as unprofitable as the 3 year bulk swap. The bitumen time series spot prices curve has a higher volatility (standard deviation) than the corresponding curve for diesel (i.e. 10,5% versus 9,6%). The curve for bitumen moves in a more stochastic way than the curve for diesel, for which the times series has a more direct positive trend. This factor can be one of the reasons for the underperformance of the bitumen swap. Even though hedging with 1 year swaps is preferable from an economic perspective, it does not fully lock in the price in the same way as the 3 year bulk swap. As a consequence it gains from the flexibility of having the fixed swap price adjusted each year and also, as earlier mentioned, gains from the appreciation of the zloty/dollar exchange rate. However, this flexibility has to be weighed against the underlying rational for hedging. If the target is to lock in the price from the beginning of the hedging period, regardless of what the cost may be, this alternative might not be the correct one. It might be reasonable for Skanska to take a 4,7 million zloty extra loss for gaining the security of having both the commodity price and exchange rate fixed for a 3 year period ahead.

The results from the evaluation of the timing effect110 show that it is a factor of importance that should not be underestimated. The economic impact on the hedge is as strong for the bitumen swaps as for the diesel swaps. The results are remarkable and easy to interpret; the 1 year swaps hedge outperforms the 3 year bulk swap on two out of three occasions. The best result for the 1 year swaps is received when hedging is initiated 2003-01-31 and corresponds to a gain of 10,5 million zloty111, at the same time as the best result for the 3 years bulk swap is a gain amounting to 7,8 million zloty112 when hedging is entered into at the same date. Though, as earlier said, the future may not be a mirror of the past an the above result can easily change if exchange rates/commodity prices movements moves in different patterns than the price data collected for this study. The most important thing is to weigh the risk of fluctuations of the marginal profit of a large scale project due to not having the total commodity exposure hedged over the entire life time of the project. Case 3 generates positive results for the hedges initiated 2003-01-31 and 2003-04-30113. The results are similar to the results of the 1 year swaps but with the advantage to offer a greater

108 For an illustration see Appendix 12 109 Ibid. 110 Ibid. 111 Ibid. 112 Ibid. 113 Ibid.

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security by locking in the price 2 years ahead after the firstly initiated 1Y swap. It constitutes a good alternative to hedging with 1 year swaps. The timing has a similar impact as for case 1 and 2 earlier mentioned. The best result is received when the hedge is initiated 2003-01-31, corresponding to a total gain of 9,1 million zloty114.

Case 3

0

10

20

30

40

50

60

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Graph 4.6 Case 3 � Bitumen swap hedge

4.5 Retrospective Tests for Bitumen and Diesel Swap Hedges The retrospective test115 show variable results for both bitumen and diesel but is effective to a large extent. However, for all of the hedges there are segments with ineffectiveness. As a result, hedge-accounting can not be applied during some of the periods during the lifetime of the hedges. The market�s expectation, i.e. the yield curve, of future forward prices and its correlation with future spot prices is the major factor that influences how well the hedges will perform.

114 For an illustration see Appendix 12 115 For an illustration see Appendix 13 and 14

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5 Conclusions and Recommendations The investigation of how to protect a company, which knows it will have to buy a specific energy commodity in the future, against risks due to price fluctuations in the energy commodity market results in the following conclusions and recommendations;

5.1 Futures Contracts Hedge

• Futures contracts are not a good alternative for trying to create an effective bitumen hedge according to the prospective tests

• There is no clear evidence from an economic perspective whether it is motivated to

enter a diesel hedge by using futures contracts. To avoid the risk of entering a hedge that is neither effective from the perspective of locking in a price nor assumed to result in a financial gain, it is not recommended to create a diesel hedge by using futures contracts.

• Sell and buy spreads might cause extra unnecessary costs when the hedges are rolled

over.

5.2 Swap Hedge

• From an economic perspective, there is no clear evidence that any of the specific type of swap constructions consistently will result in a gain or loss.

• From an economic perspective, there is no clear evidence that swaps initiated at a

certain point in time consistently will result in a gain or loss. • Swap hedging offers great flexibility and possibility to fully lock in a project�s diesel

and bitumen exposure.

• The timing has a major impact on the economic gain of a swap hedge. • The timing is of more importance when hedging bitumen exposures than when

hedging diesel exposures.

• It is preferable for Skanska to hedge its diesel (QUSDL50-C-NWE) exposure with a bulk swap hedge for which the currency rate is fixed throughout the lifetime of the hedge.

• It is preferable for Skanska to hedge its bitumen (QHFO-ARA) exposure with 1 year

swaps or a combined 1 year and 2 year swap hedge construction for which exchange rates are fixed with the same strategy as for the swaps.

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6 Suggestions for Further Research Suggestions for further research is to evaluate how to protect a company against risks due to price fluctuations in the commodity market by

• using other financial derivative instruments than futures contracts and swaps, for example options and forwards.

• analysing other oil related products than bitumen and diesel.

• analysing other commodities than oil related products, like metals, agricultural

products and energy, towards which companies have a significant exposure.

• applying the analysis on a project in another country, and as a result include the impact of another currency.

• making the same investigation of the same products and financial derivative

instruments but to use another method or other time series, for instance when the forward curve has the shape of backwardation instead of contango.

• investigating the effectiveness of a floating-for-floating swap, for example a company

could enter a swap in which it commits to pay the average of IPE gas oil + $22.0/mt and to receive in exchange the average of Platts quotations of EN590 CIF116 NWE.

• analysing the effectiveness of using a crack spread swap, i.e. the differential between

the 3,5% fuel oil price minus the Brent crude oil price. For example an investigation of a 3,5% fuel oil Rdam117 crack spread swap could be carried out.

116 CIF = Carriage, Insurance and Freight, it means that the cost of cargo, insurance and travel/freight to a named destination are all included in the price paid by the seller of the good. 117 Rdam = Rotterdam

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7 References

7.1 Literature Brealey, Richard A; Myers, Stewart C., 2003, Principles of Corporate Finance, McGraw Hill Elliot, Barry; Elliot, Jamie, 2006, Financial Accounting and Reporting, Prentice Hall Geman, Helyette, 2005, Commodities and Commodity Derivatives, John Wiley & Sons Gilje, Nils; Grimen, Harald, 2003, Samhällsvetenskapernas förutsättningar, Daidalos AB Grinblatt, Mark; Titman, Sheridan, Financial Markets and Corporate Strategy, McGraw Hill Gustavsson, Bengt, 2003, Kunskapande metoder inom samhällsvetenskapen, Studentlitteratur Hull, John C., 2003, Options, Futures, and Other Derivatives, Prentice Hall Kaminski, V. 2004. Managing Energy Price Risk: The New Challenges and Solutions, 3rd ed. London: Risk Books Riahi-Belkaoui, 1999, Accounting Theory, Business Press Thomson

7.2 Working Papers Banks, Ferdinand E., 1987:6, Futures Markets, Options Futures Markets, and Oil Markets Björklund, Tobias; Olsvenne, Martin, 2005, Ett aktivt val av prissäkringsstrategi i ett råvaruintensivt företag � kan det ge förbättrad lönsamhet?, Lund University Göthlin, Maria; Näslundh, Ellinor; Ronnersjö, Carina; 2005, IAS 39 - Värdering och hantering av finansiella instrument � En fallstudie på Skandia, Stockholm University Haglund, Fredrik; Svensson, Johan, 2005, The Volatility Race in Commodities: The Optimal Hedge Ratio in Copper, Gold, Oil and Cotton, Jönköping University Hallén, Harald; Makal, Niklas, 2005, Införandet av IAS 39 � Påverkan på revision och redovisning, Stockholm University Hansson, Magnus; Månsson, Henning, 2004, IAS 39 � En studie av hur förändringar inom EU påverkar svenska börsbolags redovisning, Stockholm University Kamara, Avraham; Siegel, Andrew F., 1987, Optimal Hedging in Futures Markets with Multiple Delivery Specifications, The Journal of Finance, Vol. 42, No. 4, P 1007-1021 Long, D. 2000. Oil Trading Manual. Cambridge: Woodhead Publishing Ltd. Supplement 3.

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PriceWaterhouseCoopers, December 2005, IAS 39 � Achieving Hedge Accounting in Practice Sparks Companies Inc., 2001, MGEX Corn & Soybean Futures � A Pre-Trade Analysis of Hedge Effectiveness Yazdanfar Darush, 2003, Futures som ett mångsidigt instrument � En empirisk studie av oljebolag som använder futureskontrakt, Stockholm University

7.3 Websites Aerweb, 2006-05-24 23:55 http://aerweb.aerlines.nl/page.php?id=1 Deloitte, 2006-02-15 15:21 http://www.iasplus.com/standard/ias39.htm JP Morgan, 2006-06-02 16:16 http://www.jpmorgan.com/cm/BlobServer?blobtable=Document&blobcol=urlblob&blobkey= name&blobheader=application/pdf&blobwhere=intro_to_heat.pdf Nordea 2006-05-02 13:35 www.nordea.se/sitemod/upload/root/se_org/foretag/tjanster/...esurs/pdf/oljehedging.pdf Nymex, 2006-03-15 11:33 http://www.nymex.com/media/energyhedge.pdf Oxford University Dictionary, 2006-02-27 12:10 http://www.oup.com/uk/booksites/content/0199267529/student/glossary.htm Pearson Education Dictionary, 2006-02-27 12:15 http://wps.pearsoned.co.uk/wps/media/objects/1513/1550326/glossary/glossary.html PriceWaterhouseCoopers, 2006-02-27, 10:15 http://www.pwc.com/extweb/manissue.nsf/docid/E88E3AFF151230CACA256E4C0032F3D Skanska, 2006-02-20 11:21 http://www.skanska.com/

7.4 Verbal Sources Wieland, Thomas, Chief Dealer, Skanska Financial Services AB

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Appendix 1 Test 1

Probability levelyprobabilitErrortoequalbetatrueonlConditiona ≤

∧8,08,0 β

And the Hypothesis:

8,0:0 ≤∧

βH

8,0:1 >∧

βH

Test variable:

ββ σ

β�

�8,0� −=t

Reject 0H if αβ 1� −> ntt

Test 2

Probability levelyprobabilitErrortoequalbetatrueonlConditiona ≤

∧25,125,1 β

And the Hypothesis:

25,1:0 ≥∧

βH

25,1:1 <∧

βH

Test variable:

ββ σ

β�

�25,1� −=t

Reject 0H if αβ 1� −−<− ntt

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Appendix 2 Futures Price Formation Under the assumption that the commodity market is arbitrage-free with no initial wealth and no risk-taking it can be shown that the forward price )(tf T for a storable commodity maturity T is related to the spot price at date t by the following fundamental relationship;

))(()()( tTyrT etStf −−= where r = the continuously compound118 interest rate prevailing at date t for maturity T y = the convenience yield on the commodity In order to be consistent with the assumption that both r and y are constant over the period, the time period has to be reasonably limited. In the case of linear rates, the relationship takes the form;

[ ]))((1)()( tTyrtStf T −−+= y can be broken down into two components;

cyy −= 1 where

=1y the benefit from the physical commodity =c storage cost

The relationship can be rewritten to

[ ])()()(1)()( 1 tTytTctTrtStf T −−−+−+= where

=− )( tTr cost of financing the purchase of S =− )( tTc cost of storage during (t,T) =− )(1 tTy pure benefit from holding the physical commodity

Knowledge of S(t) and y leads to the whole forward curve119, since for any maturity T ;

))(())(( 1)()()( tTycrtTyrT etSetStf −−+−− == 118 Continuously compounding is when interest is compounded continuously rather than at fixed intervals. 119 A forward curve shows the relationship between forward rates and their maturities.

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When (r-y) is negative, the forward curve is a decreasing function of maturity and we obtain the situation of backwardation. This happens when r+c<y, i.e. when interest rates as well as storage costs are low and the benefit of holding the physical commodity is high. In the recent past, with the perception of insufficient availability of oil, convenience yields have been positive and quite high, and oil forward curves have been backwardated. On the contrary, in the case when the difference (r-y) is positive, the forward curve is an increasing function of maturity and the situation of contango is obtained120;

T

)(tf T

Backwardated forward curve

T

)(tf T

Contango

Figure 2.1 Backwardation and Contango121 If the underlying asset is traded in a liquid market, the no-arbitrage condition between spot and forward markets at maturity implies that at maturity T;

)()( TSTF T = since it is equivalent to buying the commodity in the spot market or as a futures contract maturing immediately122.

120 Geman, 2005, p.38-39 121 Geman, 2005, p.38-39 122 Ibid., p.4, 40

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Appendix 3 A Futures Example An example of how the futures market function can consist of three traders, speculators A, B and C, who are involved in transactions on three different trading days. This example will provide an important insight in how the concept of a marking-to-market and daily settlement works. For each contract that are bought or sold the traders must put a small percentage of the contract�s nominal value with their broker. This amount is a kind of deposit, which is often called margin. Contracts are then during the hold revalued, or so called marked-to-market, after the close of each trading day, at the market�s prevailing closing prices. If the closing prices have moved below the previous day�s closing prices, then the traders who have bought the contracts i.e. have long positions, will be asked to pay an additional margin. The traders, who have sold contracts, i.e. have short positions; will show a profit that can be taken out in cash without closing out their position. This procedure insures that profits and losses are not carried too far forward. The numerical example is summarized in the following table; Day Price A MMA B MMB C MMC V OI 1 30 (B) Long - (S) Short - - - 2 1 15 25 - -5 (B) Long (+) 5 (S) Short - 2 1 29 35 (S) Short (+) 10 - - (B) Long -10 2 0 (+) 5 (+) 5 -10

Table 3.1 Summary of Numerical Example123 The table contains the following inputs; trading days; price (P) at which sales (S) or purchases (B) futures contracts take place (denominated in $/barrel); the volume of the transactions (V); and finally open interest (OI). Open interest is very important and defined as the number of open contracts, sold or bought, at the end of a specific period � but not both. Attention should be focused on the entries signifying market-to-market. These are MMA, MMB and MMC, where the minus sign in the table indicates a loss, and the plus sign shows a profit. The specific contract being discussed is for delivery in November with the transactions taking place in November. The final trading day of the month is the 30th; and for simplicity the initial margin is zero. The one contract for trading is assumed to be on 1000 barrels of oil. On the first day A purchases and B sells a contract. The number of transactions is 2, because in the real world both A and B deal with a clearing-house of the exchange rather than with each other as mentioned in the above discussion (this is often regarded as one transaction). Though, open interest can be regarded as an equivocal unity. Then, under the assumption that there is no trading until day 15, at the end of the 15th day B closes out his position with a buy, while C opens a position. The trader A does not buy or sell but because the price of the future contract has fallen, the marking-to-market effect on A�s contract means that he has to pay his broker $5/barrel (= $5000 on a single contract). B�s contract is also marked-to-market but he has closed his position meaning that he can collect the profit that he has maid on his earlier position. Finally at day 29, the last trading day of the month, the price is 35 and both A and C close out their positions by either selling or purchasing a contract. The marking-to-market presented in

123 Banks, 1987, p.5

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the above table shows that A gained $10 per barrel, while C looses $10 per barrel. A�s total gain is $5 (-5+10). It is important to notice that the total losses and gains of A, B and C offset each other, i.e. +5+5-10=0. This confirms the zero-profit characteristic of a clearing house, where for every �winner� there is a loser�. The mathematical that is being satisfied is;

∑ ∑∑= ==

=++29

1

29

1

29

10

t tCtBt

tAt MMMMMM

In the formula the days on which no trading takes place, holidays, MM = 0. In case of A would actually like to take delivery of physical oil he must pay the closing price on the last delivery day of the month. Under the assumption that the price is $35 per barrel, as shown in the table above, and the price being equal to the price at which he purchased his contract ($30 per barrel) plus the $5 /barrel gain, the conclusion could be that the price paid for the oil was determined already on the day when he purchased his contract. Moreover, if C would have liked to deliver oil, he would have received $35 /barrel. However, he has previously lost $10 per barrel on his contract so the net price he would actually receive is $25 per barrel which is the price at which he bought his contract124.

124 Banks, 1987, p.4-6

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Appendix 4 Futures hedge

QHFO-ARA Versus Brent Futures 3M

0

10

20

30

40

50

60

70

80

1999

-01-3

1

1999

-06-3

0

1999

-11-3

0

2000

-04-3

0

2000

-09-3

0

2001

-02-2

8

2001

-07-3

1

2001

-12-3

1

2002

-05-3

1

2002

-10-3

1

2003

-03-3

1

2003

-08-3

1

2004

-01-3

1

2004

-06-3

0

2004

-11-3

0

2005

-04-3

0

2005

-09-3

0

2006

-02-2

8

Time

$/bblQHFO-ARA

Brent Futures 3M

QULSD50-C-NWE Versus Gas Oil Futures 3M

150

250

350

450

550

650

02-09

-30

02-11

-30

03-01

-31

03-03

-31

03-05

-31

03-07

-31

03-09

-30

03-11

-30

04-01

-31

04-03

-31

04-05

-31

04-07

-31

04-09

-30

04-11

-30

05-01

-31

05-03

-31

05-05

-31

05-07

-31

05-09

-30

05-11

-30

06-01

-31

06-03

-31

Time

$/mtQULSD50-C-NWE

Gas Oil Futures 3M

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44

Appendix 5 Candle Charts Historical Price Development of Brent Futures 3M

Historical Price Development of Gas Oil Futures 3M

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Appendix 6 Prospective Test

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Appendix 7 Hypothesis Test Results

QHFO-ARA Versus Brent Futures 3MConditional On True Beta Equal to 0,8

Coefficient Observed T-Value Critical T-Value Result12/31/2001 1,358 24,497 2,423 Reject Ho

03/31/2002 1,354 25,408 2,423 Reject Ho

06/30/2002 1,336 25,124 2,423 Reject Ho

09/30/2002 1,324 24,181 2,423 Reject Ho

12/31/2002 1,332 24,379 2,423 Reject Ho

03/31/2003 1,323 23,977 2,423 Reject Ho

06/30/2003 1,316 24,019 2,423 Reject Ho

09/30/2003 1,301 23,257 2,423 Reject Ho

12/31/2003 1,304 22,485 2,423 Reject Ho

03/31/2004 1,310 22,678 2,423 Reject Ho

06/30/2004 1,323 21,863 2,423 Reject Ho

09/30/2004 1,368 17,711 2,423 Reject Ho

12/31/2004 1,430 13,708 2,423 Reject Ho

03/31/2005 1,478 14,079 2,423 Reject Ho

06/30/2005 1,504 15,683 2,423 Reject Ho

09/30/2005 1,533 18,344 2,423 Reject Ho

12/31/2005 1,545 20,552 2,423 Reject Ho

03/31/2006 1,548 23,633 2,423 Reject Ho

Conditional On True Beta Equal to 1,25

Coefficient Observed T-Value Critical T-Value Result12/31/2001 1,358 4,724 -2,423 Accept Ho

03/31/2002 1,354 4,763 -2,423 Accept Ho

06/30/2002 1,336 4,032 -2,423 Accept Ho

09/30/2002 1,324 3,434 -2,423 Accept Ho

12/31/2002 1,332 3,762 -2,423 Accept Ho

03/31/2003 1,323 3,361 -2,423 Accept Ho

06/30/2003 1,316 3,088 -2,423 Accept Ho

09/30/2003 1,301 2,351 -2,423 Accept Ho

12/31/2003 1,304 2,394 -2,423 Accept Ho

03/31/2004 1,310 2,669 -2,423 Accept Ho

06/30/2004 1,323 3,066 -2,423 Accept Ho

09/30/2004 1,368 3,670 -2,423 Accept Ho

12/31/2004 1,430 3,920 -2,423 Accept Ho

03/31/2005 1,478 4,733 -2,423 Accept Ho

06/30/2005 1,504 5,659 -2,423 Accept Ho

09/30/2005 1,533 7,083 -2,423 Accept Ho

12/31/2005 1,545 8,146 -2,423 Accept Ho

03/31/2006 1,548 9,415 -2,423 Accept Ho

β

β

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47

QULSD50-C-NWE Versus Gas Oil Futures 3M

09/30/2005 629,0 657,0 28,0 262194 369234 - - - - - -10/31/2005 577,5 579,5 2,0 240727 325679 -21467 -43555 -21467 -43555 2,03 2,0311/30/2005 519,8 519,5 -0,3 216654 291959 -24073 -33720 -45540 -77275 1,40 1,7012/31/2005 524,8 550,5 25,8 218739 309381 2084 17422 -43456 -59853 8,36 1,3812/31/2005 524,8 550,5 25,8 302403 309381 - - - - - -01/31/2006 572,0 584,0 12,0 329632 328208 27229 18827 27229 18827 0,69 0,6902/28/2006 551,3 564,5 13,3 317674 317249 -11958 -10959 15271 7868 0,92 0,5203/31/2006 586,8 597,0 10,3 338132 335514 20458 18265 35729 26133 0,89 0,7303/31/2006 586,8 597,0 10,3 1240332 1342056 - - - - - -04/30/2006 638,3 660,8 22,5 1349198 1485366 108866 143310 108866 143310 1,32 1,32

09/30/2005 0,0991 0,0799 0,5983 0,74 100 562 4,1710/31/200511/30/200512/31/200512/31/2005 0,0998 0,0753 0,7732 1,03 100 562 5,7601/31/200602/28/200603/31/200603/31/2006 0,0857 0,0751 0,8245 0,94 100 2248 21,1404/30/2006

Contract Size Consumption

Optimal Contracts

Absolute Cumulative

Hedge Value

Absolute Cumulative

Purchase Value

Dollar Offset

(Period)Dollar Offset (Cumulative)

Retrospective test

Date Futures Price Spot Price Basis Hedge Value

Purchase Value

Absolute Period-to-Period Hedge

Value

DateStandarddev.

SpotStandarddev.

Futures CorrelationHedge Ratio

Absolute Period-to-Period

Purchase Value

Appendix 8 Retrospective Test QULSD50-C-NWE Versus Gas Oil Futures 3M

Page 48: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

48

Retrospective testQULSD50-C-NWE Versus Gas Oil Futures 3M (converted into zloty (zl/$)), Unhedged Currency Risk

09/30/2005 3,26 855042 1204109 - - - - - -10/31/2005 3,31 796181 1077151 -58862 -126958 -58862 -126958 2,16 2,1611/30/2005 3,32 718231 967873 -77950 -109277 -136812 -236236 1,40 1,7312/31/2005 3,25 709828 1003972 -8402 36099 -145214 -200137 -4,30 1,3812/31/2005 3,25 981327 1003972 - - - - - -01/31/2006 3,15 1036857 1032378 55530 28406 55530 28406 0,51 0,5102/28/2006 3,17 1007503 1006155 -29354 -26223 26176 2183 0,89 0,0803/31/2006 3,23 1093688 1085220 86185 79065 112361 81248 0,92 0,7203/31/2006 3,23 4011854 4340880 - - - - - -04/30/2006 3,06 4134887 4552201 123033 211321 123033 211321 1,72 1,72

Retrospective testQULSD50-C-NWE Versus Gas Oil Futures 3M (converted into zloty (zl/$)), Hedged Currency Risk

09/30/2005 3,25 852919 1201118 - - - - - -10/31/2005 3,25 783326 1059759 -69593 -141359 -71717 -144350 2,03 2,0111/30/2005 3,26 705426 950619 -77899 -109141 -149616 -253490 1,40 1,6912/31/2005 3,26 712431 1007654 7005 57035 -142611 -196455 8,14 1,3812/31/2005 3,32 1002465 1025598 - - - - - -01/31/2006 3,32 1093059 1088338 90594 62740 111732 84365 0,69 0,7602/28/2006 3,32 1053407 1051998 -39652 -36340 72080 48025 0,92 0,6703/31/2006 3,32 1121245 1112564 67838 60567 139919 108592 0,89 0,7803/31/2006 3,17 3934333 4257002 - - - - - -04/30/2006 3,17 4275608 4707125 341275 450123 341275 450123 1,32 1,32

Date Exchange Hedge Value Purchase

Value

Absolute Period-to-Period Hedge

Value

Absolute Period-to-Period

Purchase Value

Absolute Cumulative

Hedge Value

Absolute Cumulative

Purchase Value

Zloty Offset

(Period)Zloty Offset (Cumulative)

Zloty Offset

(Period)Zloty Offset (Cumulative)

Absolute Period-to-Period Hedge

Value

Absolute Period-to-Period

Purchase Value

Absolute Cumulative

Hedge Value

Absolute Cumulative

Purchase ValueDate Exchange Hedge Value Purchase

Value

Page 49: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

49

Appendix 9 Relationship between the futures prices, the spot prices and the basis for the diesel futures hedge

Futures Hedge QULSD50-C-NWE

450

500

550

600

650

700

05-09

-30

05-10

-31

05-11

-30

05-12

-31

06-01

-31

06-02

-28

06-03

-31

06-04

-30

Time

$/mt

-5

0

5

10

15

20

25

30

$QULSD50-C-NWE

Gas Oil Futures 3M

Basis

Page 50: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

50

Appendix 10 Swap Test Illustration

Swap 1Y Forward (zl/$) QULSD50-C-NWE Exchange Rate (zl/$) Volume (MT) Total Gain/Loss No Hedge Hedge Zloty Offset2002-10-31 276,4 4,157 258,5 4,027 187 -20234 194992 215226 1,102002-11-30 276,4 4,175 233,9 4,012 187 -40325 175816 216141 1,232002-12-31 276,4 4,195 261,1 3,828 187 -29994 187199 217192 1,162003-01-31 276,4 4,214 278,7 3,821 187 -18686 199480 218166 1,092003-02-28 276,4 4,233 333,8 3,912 187 25424 244563 219139 0,902003-03-31 276,4 4,252 358,4 4,095 187 54794 274907 220112 0,802003-04-30 276,4 4,269 268,5 3,809 749 -117637 766388 884025 1,152003-05-31 276,4 4,286 244,5 3,724 749 -205224 682377 887601 1,302003-06-30 276,4 4,303 260,5 3,897 749 -130477 760700 891177 1,172003-07-31 276,4 4,320 261,5 3,875 749 -135257 759309 894566 1,182003-08-31 276,4 4,336 265,5 3,962 749 -109823 788133 897956 1,142003-09-30 276,4 4,352 261,3 3,947 749 -128765 772580 901345 1,17

5806442 6662646 1,15Swap 1Y Forward (zl/$)

2003-10-31 275,1 3,961 281,0 4,035 187 6935 212405 205470 0,972003-11-30 275,1 3,974 274,0 3,888 187 -6582 199568 206150 1,032003-12-31 275,1 3,986 298,0 3,731 187 1426 208256 206831 0,992004-01-31 275,1 4,000 272,3 3,852 187 -11079 196432 207511 1,062004-02-29 275,1 4,013 308,3 3,918 187 18106 226218 208112 0,922004-03-31 275,1 4,026 326,5 3,858 187 27228 235941 208714 0,882004-04-30 275,1 4,038 346,0 3,994 749 198262 1035522 837260 0,812004-05-31 275,1 4,049 347,3 3,818 749 153808 993467 839658 0,852004-06-30 275,1 4,061 349,5 3,693 749 125111 967167 842056 0,872004-07-31 275,1 4,073 403,3 3,629 749 252115 1096570 844455 0,772004-08-31 275,1 4,084 397,3 3,652 749 360101 1087101 726999 0,672004-09-30 275,1 4,096 476,0 3,512 749 522506 1252598 730092 0,58

7711246 6063308 0,79Swap 1Y Forward (zl/$)

2004-10-31 501,3 3,526 502,0 3,380 187 -13290 317860 331150 1,042004-11-30 501,3 3,541 518,5 3,148 187 -26767 305792 332559 1,092004-12-31 501,3 3,555 444,0 3,010 187 -83504 250360 333864 1,332005-01-31 501,3 3,568 444,0 3,115 187 -76031 259085 335116 1,292005-02-28 501,3 3,582 498,3 2,938 187 -62185 274183 336368 1,232005-03-31 501,3 3,595 562,0 3,149 187 -6142 331478 337620 1,022005-04-30 501,3 3,608 512,0 3,314 749 -83643 1271560 1355203 1,072005-05-31 501,3 3,620 500,8 3,385 749 -89962 1269961 1359923 1,072005-06-30 501,3 3,633 559,5 3,352 749 40605 1405249 1364644 0,972005-07-31 501,3 3,645 555,5 3,351 749 25759 1395036 1369277 0,982005-08-31 501,3 3,657 664,0 3,253 749 244495 1618405 1373910 0,852005-09-30 501,3 3,670 657,0 3,261 749 226936 1605479 1378543 0,86

10304447 10208176 0,99

Total Costs (Zloty) 23822135 22934130

Gain on hedge 888005

At 2002-10-31, the first diesel swap payment is cash settled. The hedging cost (�Hedge�) at that date amounts to 215 226 zloty and the cost for the same volume purchased directly on the market (�No Hedge�) amounts to 194 992 zloty. This results in a net loss of -20 234 zloty for the first swap payment. The zloty-offset test is the �Hedge� value divided by the �No Hedge� value (i.e. 1,10). The total �Hedge� and �No Hedge� costs in zloty over the 3 year period (i.e. 36 cash flows in total) is summarized and amount to 22 934 130 zloty and 23 822 135 zloty respectively. The total gain/loss of the swap is calculated as the difference between the two and amounts to 888 005 zloty.

Page 51: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

51

Appendix 11 Diesel Swap Hedge

Case 1

0

5

10

15

20

25

30

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) 23822135 20114229 3707906Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead) 23822135 23136471 685664

Case 2

0

5

10

15

20

25

30

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Page 52: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

52

Case 1

0

5

10

15

20

25

30

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) 24280460 18339274 5941186Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead) 24280460 20846500 3433960

Case 2

0

5

10

15

20

25

30

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Page 53: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

53

Case 1

0

5

10

15

20

25

30

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

10-31

-2005

12-31

-2005

02-28

-2006

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) 24602762 26617015 -2014253Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead) 24602762 26922290 -2319528

Case 2

0

5

10

15

20

25

30

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

10-31

-2005

12-31

-2005

02-28

-2006

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Page 54: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

54

Case 3

0

5

10

15

20

25

30

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead) 23822135 19244611 4577524

Case 3

0

5

10

15

20

25

30

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead) 24280460 19511751 4768709

Page 55: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

55

Case 3

0

5

10

15

20

25

30

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

10-31

-2005

12-31

-2005

02-28

-2006

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead) 24602762 23976007 626754

Page 56: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

56

Appendix 12 Bitumen Swap Hedge

Case 1

0

10

20

30

40

50

60

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) 45802100 51709948 -5907848Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead) 46850944 48028510 -1177566

Case 2

0

10

20

30

40

50

60

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Page 57: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

57

Case 1

0

10

20

30

40

50

60

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) 47692198 39909746 7782452Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead) 47692198 37231573 10460625

Case 2

0

10

20

30

40

50

60

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Page 58: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

58

Case 1

0

10

20

30

40

50

60

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

10-31

-2005

12-31

-2005

02-28

-2006

Time

Mill

ion

Zlot

y

No Hedge (Bulk) Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) 48432879 46264990 2167890Hedging with 1 year swaps (Exchange rate fixed for 1 year ahead) 48581315 46772799 1808515

Case 2

0

10

20

30

40

50

60

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

10-31

-2005

12-31

-2005

02-28

-2006

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 year swaps

Page 59: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

59

Case 3

0

10

20

30

40

50

60

10-31

-2002

12-31

-2002

02-28

-2003

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 and 2 year swaps (Exchange rate fixed for first 1 year then 2 years ahead) 46961772 48390046 -1428274

Case 3

0

10

20

30

40

50

60

01-31

-2003

03-31

-2003

05-31

-2003

07-31

-2003

09-30

-2003

11-30

-2003

01-31

-2004

03-31

-2004

05-31

-2004

07-31

-2004

09-30

-2004

11-30

-2004

01-31

-2005

03-31

-2005

05-31

-2005

07-31

-2005

09-30

-2005

11-30

-2005

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead) 48009840 38923668 9086172

Page 60: How Skanska Can Handle Risks Due to Price Fluctuations in Commodity Markets

60

Case 3

0

10

20

30

40

50

60

04-30

-2003

06-30

-2003

08-31

-2003

10-31

-2003

12-31

-2003

02-29

-2004

04-30

-2004

06-30

-2004

08-31

-2004

10-31

-2004

12-31

-2004

02-28

-2005

04-30

-2005

06-30

-2005

08-31

-2005

10-31

-2005

12-31

-2005

02-28

-2006

Time

Mill

ion

Zlot

y

No Hedge Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Total Cost (Zloty) No Hedge Hedge Gain/LossHedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead) 48750521 44814401 3936120

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Appendix 13 Diesel Swap Hedge - Retrospective Test Zloty-Offset

Hedging with 1 year swaps Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) (Exchange rate fixed for 1 year ahead)

Time Zloty Offset Outcome Zloty Offset Outcome10-31-2002 1,10 effective 1,10 effective11-30-2002 1,23 effective 1,23 effective12-31-2002 1,16 effective 1,16 effective01-31-2003 1,09 effective 1,09 effective02-28-2003 0,90 effective 0,90 effective03-31-2003 0,80 ineffective 0,80 ineffective04-30-2003 1,15 effective 1,15 effective05-31-2003 1,30 ineffective 1,30 effective06-30-2003 1,17 effective 1,17 effective07-31-2003 1,18 effective 1,18 effective08-31-2003 1,14 effective 1,14 effective09-30-2003 1,17 effective 1,17 effective10-31-2003 1,01 effective 0,96 effective11-30-2003 1,08 effective 1,03 effective12-31-2003 1,04 effective 0,99 effective01-31-2004 1,10 effective 1,05 effective02-29-2004 0,96 effective 0,91 effective03-31-2004 0,92 effective 0,88 effective04-30-2004 0,84 effective 0,80 ineffective05-31-2004 0,88 effective 0,84 effective06-30-2004 0,91 effective 0,87 effective07-31-2004 0,80 ineffective 0,77 effective08-31-2004 0,81 effective 0,77 effective09-30-2004 0,71 ineffective 0,67 effective10-31-2004 0,70 ineffective 1,04 effective11-30-2004 0,73 ineffective 1,09 effective12-31-2004 0,90 effective 1,33 ineffective01-31-2005 0,87 effective 1,29 ineffective02-28-2005 0,83 effective 1,23 effective03-31-2005 0,69 ineffective 1,02 effective04-30-2005 0,72 ineffective 1,07 effective05-31-2005 0,72 ineffective 1,07 effective06-30-2005 0,65 ineffective 0,97 effective07-31-2005 0,66 ineffective 0,98 effective08-31-2005 0,57 ineffective 0,85 effective09-30-2005 0,58 ineffective 0,86 effective

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Hedging with 1 year swaps Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) (Exchange rate fixed for 1 year ahead)

Time Zloty Offset Outcome Zloty Offset Outcome01-31-2003 0,99 effective 0,99 effective02-28-2003 0,81 effective 0,81 effective03-31-2003 0,73 ineffective 0,73 ineffective04-30-2003 1,04 effective 1,04 effective05-31-2003 1,18 effective 1,18 effective06-30-2003 1,06 effective 1,06 effective07-31-2003 1,07 effective 1,07 effective08-31-2003 1,03 effective 1,03 effective09-30-2003 1,05 effective 1,05 effective10-31-2003 0,96 effective 0,96 effective11-30-2003 1,03 effective 1,03 effective12-31-2003 0,99 effective 0,99 effective01-31-2004 1,01 effective 1,12 effective02-29-2004 0,88 effective 0,98 effective03-31-2004 0,85 effective 0,94 effective04-30-2004 0,78 ineffective 0,86 effective05-31-2004 0,81 effective 0,90 effective06-30-2004 0,84 effective 0,93 effective07-31-2004 0,74 ineffective 0,82 effective08-31-2004 0,75 ineffective 0,83 effective09-30-2004 0,65 ineffective 0,72 ineffective10-31-2004 0,64 ineffective 0,71 ineffective11-30-2004 0,67 ineffective 0,74 ineffective12-31-2004 0,82 effective 0,91 effective01-31-2005 0,79 ineffective 1,02 effective02-28-2005 0,75 ineffective 0,97 effective03-31-2005 0,62 ineffective 0,80 ineffective04-30-2005 0,65 ineffective 0,84 effective05-31-2005 0,65 ineffective 0,84 effective06-30-2005 0,59 ineffective 0,76 ineffective07-31-2005 0,59 ineffective 0,77 ineffective08-31-2005 0,51 ineffective 0,67 ineffective09-30-2005 0,52 ineffective 0,67 ineffective10-31-2005 0,58 ineffective 0,75 ineffective11-30-2005 0,65 ineffective 0,84 effective12-31-2005 0,62 ineffective 0,81 effective

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Hedging with 1 year swaps Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) (Exchange rate fixed for 1 year ahead)

Time Zloty Offset Outcome Zloty Offset Outcome04-30-2003 1,52 ineffective 1,52 ineffective05-31-2003 1,71 ineffective 1,71 ineffective06-30-2003 1,54 ineffective 1,54 ineffective07-31-2003 1,55 ineffective 1,55 ineffective08-31-2003 1,50 ineffective 1,50 ineffective09-30-2003 1,53 ineffective 1,53 ineffective10-31-2003 1,40 ineffective 1,40 ineffective11-30-2003 1,49 ineffective 1,49 ineffective12-31-2003 1,44 ineffective 1,44 ineffective01-31-2004 1,53 ineffective 1,53 ineffective02-29-2004 1,33 ineffective 1,33 ineffective03-31-2004 1,28 ineffective 1,28 ineffective04-30-2004 1,12 effective 0,97 effective05-31-2004 1,17 effective 1,01 effective06-30-2004 1,20 effective 1,05 effective07-31-2004 1,07 effective 0,93 effective08-31-2004 1,08 effective 0,94 effective09-30-2004 0,94 effective 0,82 effective10-31-2004 0,93 effective 0,81 effective11-30-2004 0,97 effective 0,84 effective12-31-2004 1,19 effective 1,03 effective01-31-2005 1,15 effective 1,00 effective02-28-2005 1,09 effective 0,74 ineffective03-31-2005 0,91 effective 0,61 ineffective04-30-2005 0,94 effective 1,10 effective05-31-2005 0,94 effective 1,10 effective06-30-2005 0,85 effective 1,00 effective07-31-2005 0,86 effective 1,01 effective08-31-2005 0,74 ineffective 0,87 effective09-30-2005 0,75 ineffective 0,88 effective10-31-2005 0,84 effective 0,98 effective11-30-2005 0,93 effective 1,10 effective12-31-2005 0,90 effective 1,06 effective01-31-2006 0,87 effective 1,03 effective02-28-2006 0,90 effective 1,06 effective03-31-2006 0,83 effective 0,98 effective

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Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Time Zloty Offset Outcome10-31-2002 1,10 effective11-30-2002 1,23 effective12-31-2002 1,16 effective01-31-2003 1,09 effective02-28-2003 0,90 effective03-31-2003 0,80 effective04-30-2003 1,15 effective05-31-2003 1,30 ineffective06-30-2003 1,17 effective07-31-2003 1,18 effective08-31-2003 1,14 effective09-30-2003 1,17 effective10-31-2003 1,04 effective11-30-2003 1,00 effective12-31-2003 1,08 effective01-31-2004 0,96 effective02-29-2004 1,04 effective03-31-2004 0,93 effective04-30-2004 0,85 effective05-31-2004 0,85 effective06-30-2004 0,87 effective07-31-2004 0,89 effective08-31-2004 0,77 ineffective09-30-2004 0,81 effective10-31-2004 0,68 ineffective11-30-2004 0,69 ineffective12-31-2004 0,71 ineffective01-31-2005 0,80 ineffective02-28-2005 0,85 effective03-31-2005 0,71 ineffective04-30-2005 0,60 ineffective05-31-2005 0,65 ineffective06-30-2005 0,67 ineffective07-31-2005 0,60 ineffective08-31-2005 0,63 ineffective09-30-2005 0,52 ineffective

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Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Time Zloty Offset Outcome01-31-2003 0,99 effective02-28-2003 0,81 effective03-31-2003 0,73 ineffective04-30-2003 1,04 effective05-31-2003 1,18 effective06-30-2003 1,06 effective07-31-2003 1,07 effective08-31-2003 1,03 effective09-30-2003 1,05 effective10-31-2003 0,96 effective11-30-2003 1,03 effective12-31-2003 0,99 effective01-31-2004 1,12 effective02-29-2004 0,98 effective03-31-2004 0,94 effective04-30-2004 0,86 effective05-31-2004 0,90 effective06-30-2004 0,93 effective07-31-2004 0,82 effective08-31-2004 0,83 effective09-30-2004 0,72 ineffective10-31-2004 0,72 ineffective11-30-2004 0,75 ineffective12-31-2004 0,91 effective01-31-2005 0,85 effective02-28-2005 0,81 effective03-31-2005 0,67 ineffective04-30-2005 0,70 ineffective05-31-2005 0,70 ineffective06-30-2005 0,64 ineffective07-31-2005 0,64 ineffective08-31-2005 0,55 ineffective09-30-2005 0,56 ineffective10-31-2005 0,63 ineffective11-30-2005 0,70 ineffective12-31-2005 0,67 ineffective

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Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Time Zloty Offset Outcome04-30-2003 1,52 ineffective05-31-2003 1,71 ineffective06-30-2003 1,54 ineffective07-31-2003 1,55 ineffective08-31-2003 1,50 ineffective09-30-2003 1,53 ineffective10-31-2003 1,40 ineffective11-30-2003 1,49 ineffective12-31-2003 1,44 ineffective01-31-2004 1,53 ineffective02-29-2004 1,33 ineffective03-31-2004 1,28 ineffective04-30-2004 0,97 effective05-31-2004 1,01 effective06-30-2004 1,04 effective07-31-2004 0,92 effective08-31-2004 0,93 effective09-30-2004 0,81 effective10-31-2004 0,80 ineffective11-30-2004 0,84 effective12-31-2004 1,03 effective01-31-2005 1,00 effective02-28-2005 0,95 effective03-31-2005 0,79 ineffective04-30-2005 0,79 ineffective05-31-2005 0,79 ineffective06-30-2005 0,71 ineffective07-31-2005 0,72 ineffective08-31-2005 0,62 ineffective09-30-2005 0,63 ineffective10-31-2005 0,70 ineffective11-30-2005 0,78 ineffective12-31-2005 0,75 ineffective01-31-2006 0,73 ineffective02-28-2006 0,75 ineffective03-31-2006 0,70 ineffective

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Appendix 14 Bitumen Swap Hedge - Retrospective Test Zloty-Offset

Hedging with 1 year swaps Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) (Exchange rate fixed for 1 year ahead)

Time Zloty Offset Outcome Zloty Offset Outcome10-31-2002 1,06 effective 1,14 effective11-30-2002 1,15 effective 1,40 ineffective12-31-2002 1,47 effective 1,35 ineffective01-31-2003 1,36 ineffective 1,06 effective02-28-2003 1,04 effective 1,03 effective03-31-2003 0,99 effective 1,17 effective04-30-2003 1,27 ineffective 1,48 ineffective05-31-2003 1,52 ineffective 1,40 ineffective06-30-2003 1,34 ineffective 1,26 ineffective07-31-2003 1,28 ineffective 1,15 effective08-31-2003 1,13 effective 1,16 effective09-30-2003 1,17 effective 1,23 effective10-31-2003 1,14 effective 1,02 effective11-30-2003 1,20 effective 1,12 effective12-31-2003 1,32 ineffective 1,26 ineffective01-31-2004 1,37 ineffective 1,26 ineffective02-29-2004 1,40 ineffective 1,07 effective03-31-2004 1,23 effective 1,12 effective04-30-2004 1,22 effective 0,99 effective05-31-2004 1,17 effective 0,98 effective06-30-2004 1,15 effective 1,14 effective07-31-2004 1,31 ineffective 1,03 effective08-31-2004 1,15 effective 1,13 effective09-30-2004 1,32 ineffective 1,07 effective10-31-2004 1,21 ineffective 1,08 effective11-30-2004 1,32 ineffective 1,42 ineffective12-31-2004 1,68 ineffective 1,41 ineffective01-31-2005 1,53 ineffective 1,24 effective02-28-2005 1,48 ineffective 1,14 effective03-31-2005 1,20 effective 0,93 effective04-30-2005 0,99 effective 0,79 ineffective05-31-2005 0,87 effective 0,87 effective06-30-2005 0,98 effective 0,80 ineffective07-31-2005 0,90 effective 0,78 ineffective08-31-2005 0,91 effective 0,69 ineffective09-30-2005 0,77 ineffective 0,69 ineffective

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Hedging with 1 year swaps Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) (Exchange rate fixed for 1 year ahead)

Time Zloty Offset Outcome Zloty Offset Outcome01-31-2003 0,81 effective 0,81 effective02-28-2003 0,79 ineffective 0,79 ineffective03-31-2003 0,90 effective 0,90 effective04-30-2003 1,13 effective 1,13 effective05-31-2003 1,07 effective 1,07 effective06-30-2003 0,97 effective 0,97 effective07-31-2003 0,88 effective 0,88 effective08-31-2003 0,89 effective 0,89 effective09-30-2003 0,94 effective 0,94 effective10-31-2003 0,93 effective 0,93 effective11-30-2003 1,01 effective 1,01 effective12-31-2003 1,14 effective 1,14 effective01-31-2004 1,09 effective 1,04 effective02-29-2004 0,93 effective 0,88 effective03-31-2004 0,97 effective 0,92 effective04-30-2004 0,86 effective 0,81 effective05-31-2004 0,85 effective 0,81 effective06-30-2004 0,99 effective 0,94 effective07-31-2004 0,89 effective 0,84 effective08-31-2004 0,98 effective 0,93 effective09-30-2004 0,93 effective 0,88 effective10-31-2004 0,97 effective 0,92 effective11-30-2004 1,27 ineffective 1,21 effective12-31-2004 1,26 ineffective 1,20 effective01-31-2005 1,07 effective 0,91 effective02-28-2005 0,99 effective 0,84 effective03-31-2005 0,80 ineffective 0,68 ineffective04-30-2005 0,68 ineffective 0,58 ineffective05-31-2005 0,75 ineffective 0,63 ineffective06-30-2005 0,69 ineffective 0,59 ineffective07-31-2005 0,67 ineffective 0,57 ineffective08-31-2005 0,59 ineffective 0,50 ineffective09-30-2005 0,59 ineffective 0,50 ineffective10-31-2005 0,63 ineffective 0,53 ineffective11-30-2005 0,66 ineffective 0,56 ineffective12-31-2005 0,67 ineffective 0,57 ineffective

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Hedging with 1 year swaps Hedging with 1 year swaps (Bulk - Exchange rate fixed for 3 years) (Exchange rate fixed for 1 year ahead)

Time Zloty Offset Outcome Zloty Offset Outcome04-30-2003 1,30 ineffective 1,30 ineffective05-31-2003 1,23 effective 1,23 effective06-30-2003 1,11 effective 1,11 effective07-31-2003 1,01 effective 1,01 effective08-31-2003 1,02 effective 1,02 effective09-30-2003 1,08 effective 1,08 effective10-31-2003 1,07 effective 1,07 effective11-30-2003 1,17 effective 1,17 effective12-31-2003 1,31 ineffective 1,31 ineffective01-31-2004 1,32 ineffective 1,32 ineffective02-29-2004 1,12 effective 1,12 effective03-31-2004 1,16 effective 1,16 effective04-30-2004 0,99 effective 0,97 effective05-31-2004 0,98 effective 0,90 effective06-30-2004 1,14 effective 1,02 effective07-31-2004 1,03 effective 0,95 effective08-31-2004 1,13 effective 0,95 effective09-30-2004 1,07 effective 1,21 effective10-31-2004 1,12 effective 1,19 effective11-30-2004 1,47 ineffective 1,16 effective12-31-2004 1,46 ineffective 1,06 effective01-31-2005 1,28 ineffective 0,89 effective02-28-2005 1,18 effective 0,84 effective03-31-2005 0,96 effective 0,88 effective04-30-2005 0,79 ineffective 0,88 effective05-31-2005 0,87 effective 0,96 effective06-30-2005 0,80 ineffective 0,89 effective07-31-2005 0,78 ineffective 0,87 effective08-31-2005 0,69 ineffective 0,76 ineffective09-30-2005 0,69 ineffective 0,76 ineffective10-31-2005 0,73 ineffective 0,81 effective11-30-2005 0,77 ineffective 0,85 effective12-31-2005 0,78 ineffective 0,86 effective01-31-2006 0,68 ineffective 0,76 ineffective02-28-2006 0,70 ineffective 0,77 ineffective03-31-2006 0,63 ineffective 0,70 ineffective

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Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Time Zloty Offset Outcome10-31-2002 1,14 effective11-30-2002 1,40 ineffective12-31-2002 1,35 ineffective01-31-2003 1,06 effective02-28-2003 1,03 effective03-31-2003 1,17 effective04-30-2003 1,48 ineffective05-31-2003 1,40 ineffective06-30-2003 1,26 ineffective07-31-2003 1,15 effective08-31-2003 1,16 effective09-30-2003 1,23 effective10-31-2003 1,04 effective11-30-2003 1,14 effective12-31-2003 1,27 ineffective01-31-2004 1,28 ineffective02-29-2004 1,09 effective03-31-2004 1,14 effective04-30-2004 1,00 effective05-31-2004 1,00 effective06-30-2004 1,16 effective07-31-2004 1,04 effective08-31-2004 1,14 effective09-30-2004 1,08 effective10-31-2004 1,10 effective11-30-2004 1,43 ineffective12-31-2004 1,42 ineffective01-31-2005 1,25 ineffective02-28-2005 1,15 effective03-31-2005 0,93 effective04-30-2005 0,79 ineffective05-31-2005 0,87 effective06-30-2005 0,81 effective07-31-2005 0,79 ineffective08-31-2005 0,69 ineffective09-30-2005 0,70 ineffective

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Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Time Zloty Offset Outcome01-31-2003 0,81 effective02-28-2003 0,79 ineffective03-31-2003 0,90 effective04-30-2003 1,13 effective05-31-2003 1,07 effective06-30-2003 0,97 effective07-31-2003 0,88 effective08-31-2003 0,89 effective09-30-2003 0,94 effective10-31-2003 0,93 effective11-30-2003 1,01 effective12-31-2003 1,14 effective01-31-2004 1,05 effective02-29-2004 0,89 effective03-31-2004 0,93 effective04-30-2004 0,83 effective05-31-2004 0,82 effective06-30-2004 0,95 effective07-31-2004 0,86 effective08-31-2004 0,94 effective09-30-2004 0,89 effective10-31-2004 0,94 effective11-30-2004 1,23 effective12-31-2004 1,21 effective01-31-2005 1,02 effective02-28-2005 0,95 effective03-31-2005 0,77 ineffective04-30-2005 0,65 ineffective05-31-2005 0,71 ineffective06-30-2005 0,66 ineffective07-31-2005 0,64 ineffective08-31-2005 0,57 ineffective09-30-2005 0,57 ineffective10-31-2005 0,60 ineffective11-30-2005 0,63 ineffective12-31-2005 0,64 ineffective

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Hedging with 1 and 2 years swap (Exchange rate fixed for first 1 year then 2 years ahead)

Time Zloty Offset Outcome04-30-2003 1,30 ineffective05-31-2003 1,23 effective06-30-2003 1,11 effective07-31-2003 1,01 effective08-31-2003 1,02 effective09-30-2003 1,08 effective10-31-2003 1,07 effective11-30-2003 1,17 effective12-31-2003 1,31 ineffective01-31-2004 1,32 ineffective02-29-2004 1,12 effective03-31-2004 1,16 effective04-30-2004 0,95 effective05-31-2004 0,94 effective06-30-2004 1,09 effective07-31-2004 0,98 effective08-31-2004 1,08 effective09-30-2004 1,02 effective10-31-2004 1,08 effective11-30-2004 1,41 ineffective12-31-2004 1,40 ineffective01-31-2005 1,23 effective02-28-2005 1,13 effective03-31-2005 0,92 effective04-30-2005 0,75 ineffective05-31-2005 0,82 effective06-30-2005 0,76 ineffective07-31-2005 0,74 ineffective08-31-2005 0,65 ineffective09-30-2005 0,65 ineffective10-31-2005 0,69 ineffective11-30-2005 0,72 ineffective12-31-2005 0,73 ineffective01-31-2006 0,64 ineffective02-28-2006 0,66 ineffective03-31-2006 0,59 ineffective