bbf 212 notes on theories of the exchange rate

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    Theories of the Exchange rateTheories of the Exchange rate

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    Learning OutcomesLearning Outcomes

    y At the end of this lecture, you will be

    able;

    y To understand the various theories of the

    exchange rate

    y To provide a critique of each theory of the

    exchange rate

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    IntroductionIntroduction

    y There are various theories of the exchange

    rate and these include;

    y The Purchasing Power Parity Theory

    (PPP)

    y The law of one Price

    y The Interest Rate Parity (IRT)

    y The International Fischers Effect

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    The PPPTheoryThe PPPTheory

    y If two countries are on free paper

    currencies, (nothing common between two

    currencies) the rate of exchange between

    the two currencies can be determined byreference to their purchasing power in

    their respective countries.

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    y Purchasing power of a unit of currency is

    measured in terms of tradable

    commodities; which is equivalent to the

    amount of goods and services that can bepurchased with one unit of that currency.

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    y Eg:- If a pair of shoes is sold for Shs.

    4,000 in Uganda and if the same pair of

    shoes is sold for $100 in the U.S.A, the

    rate of exchange (ignoring transport costs)will be ; $ 100 = Shs.4000 or $1= Shs. 40.

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    y If the price of the shoes moves up to

    Shs.4,400 in Uganda on account of 10%

    inflation, the exchange rate will adjust to

    equate the purchasing power of the twocurrencies.

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    y PPP theory also specifies that the

    purchasing power of a currency (value of

    the currency) will depend upon the price

    level in that country.

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    y The Absolute Version of PPP theory states

    that the exchange rate between the

    currencies of two countries would be

    equal to the ratio of the price levels of thetwo countries measured by the respective

    consumer price indices.

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    y If the level of prices rises, the purchasing

    power of the currency would fall and its

    rate of exchange would also fall and if the

    price level in a country falls thepurchasing power of the currency would

    rise and consequently its rate of exchange

    would also go up.

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    y Thus, Current Exchange Rate = Price

    level in the home country/Price level in

    the foreign country

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    Criticism of the PPP TheoryCriticism of the PPP Theory

    yNo direct link between Purchasing Powerand Rate of Exchange.

    y This theory ignores Capital Flows

    between countries.y This theory does not consider the

    extraneous factors such as interest rates,govt. interference, Business Cycle,

    political influence, BOP adjustments,decline in foreign exchange reserves etc.,which may influence exchange rates.

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    y This theory applies only to product

    markets and not suitable for financial

    markets.

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    The Law of One PriceThe Law of One Price

    y The law of one price states that in

    competitive markets free of transportation

    costs and barriers to trade(such as tariffs),

    identical products sold in differentcountries must sell for the same price

    when their price is expressed in terms of

    the same currency.

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    y For e.g., if the exchange rate between the

    British pound and the U.S Dollar 1 pound

    = $1.50, a jacket that retails for $75 in

    New York should sell for 50 in London.

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    y Consider what would happen if the jacket

    costs 40 pounds in London ($60 in the

    U.S.); at this price , it would pay a trader

    to buy jackets in London and sell the inNew York(Arbitrage).

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    y The trade would initially make a profit of

    $15 on jacket by purchasing it for 40

    pounds in London and selling it for $75 in

    New York.

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    y However, the increased demand for

    jackets in London would raise the price in

    London and the increased supply of the

    same would lower their prices there. Thiswould continue until prices were

    equalized.

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    y Thus, prices might equalize when the

    jacket costs 44 pounds ($66) in London &

    $66 in New York (assuming no change in

    the exchange rate of 1 = $ 1.50)

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    Interest Rate Parity (IRP)TheoryInterest Rate Parity (IRP)Theory

    yWhen PPP theory applies to product

    markets, IRP condition applies to financial

    markets.

    y IRP theory postulates that the forward rate

    differential in the exchange rate of two

    currencies would equal the interest rate

    differential between the two countries.

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    y Thus it holds that the forward premium or

    discount for one currency relative to

    another should be equal to the ratio of

    nominal interest rate on securities of equalrisk (and duration) denominated in two

    currencies.

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    y To a large extent, forward exchange rates

    are based on interests rate differential.

    This theory assumes that arbitrageurs will

    intervene in the market whenever there isdisparity between forward rate differential

    and interest rate differential. But such

    intervention by arbitrageurs will beeffective only in a market which is free

    from controls and restrictions.

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    y Another limitation is that regarding thediversity of short term interest rates in themoney market (where interest rates onTreasury Bills, Commercial Paper, etc.,differ) which creates problem while takinginterest rate parity. Extraneous economic and

    political factors may sometimes enhancespeculative activities in the foreign exchangemarket. Market expectation also has stronginfluence in the determination of Forwardrate.

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    International Fischers EffectInternational Fischers Effect

    y According to the Relative Version of PPP

    Theory one of the factors leading to

    change in exchange rate between

    currencies is inflation in the respectivecountries.

    y As long as the inflation rate in the two

    countries remains equal, the exchange ratebetween the currencies would not be

    affected.

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    y Irwin - Fishers Effect states that Nominal

    interest rate comprises of Real interest

    rate plus expected rate of inflation. So the

    nominal interest rate will get adjustedwhen the inflation rate is expected to

    change. The nominal interest rate will be

    higher when higher inflation rate isexpected and it will be lower when lower

    inflation rate is expected.

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    y Since interest rates reflect expectations

    about inflation, there is a link between

    interest rates and exchange rates. Fishers

    Open Proposition or International FishersEffect or Fishers Hypothesis articulates

    that the exchange rate between the two

    currencies would move in an equal butopposite direction to the difference in the

    interest rates between two countries.

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    y A country with higher nominal interest

    rate would experience depreciation in the

    value of its currency. Investors would like

    to invest in assets denominated in thecurrencies which are expected to

    depreciate only when the interest rate on

    those assets is high enough to compensatethe loss on account of depreciation in the

    currency value.

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    y Conversely, investors would be willing to

    invest in assets denominated in the

    currencies which are expected to

    appreciate even at a lower nominalinterest, provided the loss on account of

    such lower interest rate is likely to

    compensate by the appreciation in thevalue of the currency.

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    y Thus Fischers effect articulates that the

    anticipated change in the exchange rate

    between two currencies would equal the

    inflation rate differential between the twocountries, which in turn, would equal the

    nominal interest rate differential between

    these two countries.

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    Tutorial questionsTutorial questions

    y Provide a critique of PPP theory

    y How is the PPP theory different from IRP

    theory?

    yWhat is the relevancy of the law of one

    price to a country of your choice?

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