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Quantitative Asset Management for Turbulent Markets Northfield’s 25th Annual Research Conference San Diego August 7 – 9, 2012 Michel Crouhy Head of Research & Development NATIXIS Corporate & Investment Bank [email protected]

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Page 1: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

Quantitative Asset Management for Turbulent Markets

Northfield’s 25th Annual Research Conference San Diego

August 7 – 9, 2012

Michel Crouhy Head of Research & Development

NATIXIS Corporate & Investment Bank [email protected]

Page 2: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

2

–Natixis is the corporate and investment banking arm of the BPCE Group.

–BPCE Group is the: –9th Banking Group in Europe ranked by net profit, $3.68Bn (FY 2011 Results)(1)

–23rd Banking Group in the World in terms of total assets, $2,052.57Bn (December 31, 2011) (2)

–(1) Source: banksdaily.com; (2) Source: www.relbanks.com –** Exchange rate: €1 = $1.298100, *** Exchange rates: For 2011: €1 = $1.391955; for 2010: €1 = $1.325717

2

BCPE Group

Groupe BPCE, at a glance… (Figures as of December 31, 2011)

2nd-largest banking player in France

36 million clients

8.1 million cooperative shareholders

117,000 employees

8,000 bank branches

Net Banking Income***: $32.51 bn Net income (group share)***: $3.74 bn Tier 1 capital**: $53.35 bn Core Tier-1 ratio: 9.1%

Financial stakes: Coface

Commercial banking and insurance:

subsidiaries

50% 50%

19 BANQUE

POPULAIRE BANKS

17 CAISSE

D’EPARGNE BANKS

72.3%

27.7% Float

Page 3: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

3

Natixis - One Company, Three Core Businesses

Source Natixis

Exchange rates: For 2012: €1 = $1.3343; For 2011: €1 = $1.391955;for 2010: €1 = $1.325717

* *Including non operating items, o/w own senior debt fair-value adjustment included in net revenues

Natixis

Investment Solutions

• Asset Management (NGA) • Insurance • Private Banking • Private Equity

Specialized Financial Services

• Factoring • Sureties & Guaranties • Leasing • Consumer Finance

Corporate & Investment Banking

• Equity Markets • Fixed Income • Financing

Key Figures

Consistent performance** as of December 31, 2011

Net income (group share) $2.174Bn -5% vs. 2010

Net revenues $9.35Bn

+8% vs. 2010

Long-term ratings as of June 19, 2012

Standard & Poor’s A (stable)

Moody’s

A2 (stable)

Fitch Ratings A+ (negative)

Financial structure as of December 31, 2011

Revenue Breakdown by core businesses (2011 Results)

20%

48%

32%

INVESTMENT SOLUTIONS

$2.62bn +10% Vs. 2010

CIB

$3.84bn -4% Vs. 2010

SFS

$1.6bn +12% Vs. 2010

Core Tier 1 ratio 10.2% Including P3CI transaction impact

Tier 1 ratio 11.9%

Including P3CI transaction impact

Tier 1 capital $21.3Bn

Page 4: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Natixis Global Asset Management (Affiliated Companies) Industry-leading investment thinkers in key markets globally

Expertise: Asian & emerging Asian equities Founded: 1998 Headquarters: Singapore AUM: $772 M

Expertise: Customized hedge fund solutions Founded: 2004 Headquarters: Paris, France

Expertise: European multi-strategy specialists Founded: 1984 Headquarters: Paris, France AUM: $386.1 B

Expertise: Index-based solutions Founded: 2002 Headquarters: Oakland, CA AUM: $394 M

Expertise: Hedged equity strategies Founded: 1977 Headquarters: Cincinnati, OH AUM: $8.5 B

Expertise: Multi-style, multimanager funds Founded: 2001 Headquarters: Paris, France AUM: $2.3 B

Expertise: Real estate investments Founded: 1981 Headquarters: Boston, MA AUM: $14.8 B

Expertise: Alternative global fixed-income and global macro management Founded: 2010 Headquarters: London, UK AUM: $2.5 B

Expertise: ETFs and quantitative strategies Founded: 2009 Headquarters: Paris, France AUM: $408 M

Expertise: European real estate Founded: 2001 Headquarters: Paris, France AUM: $24.6 B

Expertise: Global/international investments Founded: 1994 Headquarters: Ft. Lauderdale, FL AUM: $7.5 B

Expertise: Money market funds & cash management services Founded: 1970 Headquarters: New York, NY AUM: $13.0 B

Expertise: Absolute return strategies Founded: 1999 Headquarters: Cambridge, MA AUM: $3.9 B

Expertise: Value investments Founded: 1976 Headquarters: Chicago, IL AUM: $74.6 B

Expertise: U.S. small- and mid-cap value investments Founded: 1984 Headquarters: San Francisco, CA AUM: $1.9 B

Expertise: Alternative investment mgmt. Founded: 1988 Headquarters: Chicago, IL AUM: $10.6 B

Expertise: Indian equity and fixed-income investments Founded: 2000 Headquarters: Mumbai, India AUM: $4.8 B

Expertise: Value equity investments Founded: 1970 Headquarters: Houston, TX AUM: $7.4 B

Expertise: Concentrated equity portfolios Founded: 1990 Headquarters: Boston, MA AUM: $4.7 B

Expertise: Actively managed, research-driven equity and fixed-income portfolios Founded: 1926 Headquarters: Boston, MA AUM: $169.4 B

Expertise: U.S. private equity Founded: 2008 Headquarters: New York, NY AUM: $846 M

Expertise: Overlay management Founded: 2005 Headquarters: Oakland, CA AUM: $9.3 B

August 17, 2012 4

EUROPE

2

AUM as of 31 March 2012. 1 Caspian Private Equity is a joint venture between Natixis

Global Asset Management, Natixis Private Equity and Caspian Holdings.

2A division of NGAM Advisors, L.P.

2

1

Source: Natixis Global Asset Management

Page 5: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

5

I. Introduction

II. Advanced Risk Perception Indicator and Risk Control Framework

III. Rolling Volatility Strategies

Agenda

Page 6: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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I. Introduction

Page 7: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Asset Allocators have to cope with tail risk

The rewards of risk premium are wiped out by a small number of extreme risk events

Page 8: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Mitigating Tail Risk

Approach Description Remarks

Stop Loss Mechanism Divest from risky assets when the market drops to a predetermined barrier

• Simple • Reactive

Use Derivatives Derivatives such as options or futures to provide downside protection

• Timing sensitive • Potentially expensive

Subjective approach For example “bonus smoothing” Gradually divest from equities in good years

• Subjective • Perceived as black

box

Quantitative Models [Reactive]

Rule based asset allocation such as CPPI or volatility target strategies

• Reactive • Objective

Quantitative Models [Forecasting]

Fundamental research based quantitative models

Equity Markets ARPI and Risk Control

Framework

Page 9: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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II. Advanced Risk Perception Indicator and Risk Control Framework

Page 10: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Equity Markets - ARPI and Risk Control Framework

• Natixis Equity Markets has developed a family of investable indexes:

Rule-based Quantitative technology developed in-house Allocation occurs between liquid market instruments

• With these indexes, it is possible to:

Build cheap passive indexed funds Provide increasingly sophisticated guarantees and enhance investor protection

• The investment can be structured through:

Mutual Funds - Physical - Synthetic

Debt Wrappers

Page 11: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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• Implied Volatility of Equity Markets (VIX)

Strong and robust anti-correlation with equity markets

Implied volatilities (vs. historical) can anticipate / estimate future realised volatility

IMPLIED VOLATILITY

• CDX Investment Grade non-Financials • CDX High Yield Risk aversion measure expressing

expectations of default rates Quantifies the conditions of access to credit

and the cost of cash

CREDIT SPREADS US YIELD CURVE DYNAMICS

What is the Advanced Risk Perception Indicator ?

• The ARPI is an indicator of perceived market risk.

• Among the numerous potential measures of investor risk aversion (in the US market), we have selected three classes of observable indicators:

• Slope 1Y-5Y • Difference 1Y-Annual Moving Average

1Y Measures medium term growth expectations Captures the effects of investor flight to

quality and movements in liquidity preference resulting from changes in the FED monetary policy

ARPI©

Average of Normalized Market Observables

Page 12: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Extracting Regimes from ARPI– the HMM Methodology

Natixis Quantitative Research implemented an algorithm that is based on a statistical model called the HMM (Hidden Markov Model)

• A recursive filter enables us convert the time series of the ARPI into a time series of regimes • The filter takes three types of information into account:

Where we are (the current level of ARPI gained from the new information) Where we have come from (the level of the regime at the previous date) How fast we are moving (incorporates the historical probability for change of regime - the

inertia)

• A change of regime occurs when the current level of ARPI becomes statistically incompatible with the current regime.

HMM Filter ARPI©

Regimet-1

Regimet

Insignificant Market Changes

and White Noise are ignored

Life-long learning – detects new trends

Page 13: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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HMM Risk Regimes Are Stable

98.98% 1.02% 0.00% 0.00%

0.98% 98.63% 0.39% 0.00%

0.00% 0.36% 99.03% 0.61%

0.00% 0.00% 0.93% 99.07%

Regime 1

Regime 1

Regime 3

Regime 2

Regime 4

Regime 2 Regime 3 Regime 4

US ARPI Distribution by regime

0,00 0,20 0,40 0,60 0,80 1,00

US ARPI

Prob

abili

ty D

ensi

ty

Regime 1

Regime 2

Regime 3

Regime 4

2

0 0

23

4 4

9

00

2

4

6

8

10

2003 2004 2005 2006 2007 2008 2009 2010 2011

Changes of Regime per Year since Inception

• Key observations:

There is a high degree of inertia in the HMM model (probability of remaining in the current regime from one day to another over 95%)

Helps to minimize transaction costs in implementing a reallocation strategy

Page 14: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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• Observing historical data from July 1, 1999 to July 16, 2012, we have identified 4 regimes within the perceived risk indicator.

History of the US ARPI Regimes vs S&P 500 Index

Sources : Bloomberg, Natixis from July 1, 1999 to July 16, 2012

0

200

400

600

800

1000

1200

1400

1600

1800

0

0.2

0.4

0.6

0.8

1

1.2

Jul-99 Jul-00 Jul-01 Jul-02 Jul-03 Jul-04 Jul-05 Jul-06 Jul-07 Jul-08 Jul-09 Jul-10 Jul-11 Jul-12

Regime 1 Regime 2 Regime 3 Regime 4 US ARPI SPX Index

Page 15: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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• Renormalization of 3 market observations • Aggregation into an Advanced Risk Perception Indicator (ARPI) ranging from 0% (min risk) to

100% (max risk).

Contributions of the US ARPI Components

Sources : Bloomberg, Natixis from July 4, 1999 to July 16, 2012

0.0

0.2

0.4

0.6

0.8

1.0

1.2

Jul-99 Jul-00 Jul-01 Jul-02 Jul-03 Jul-04 Jul-05 Jul-06 Jul-07 Jul-08 Jul-09 Jul-10 Jul-11 Jul-12

Contributions of the US ARPI Components from July 1, 1999 to July 16, 2012

Equity Volatility Contribution Rates Contribution Credit Contribution US ARPI

Page 16: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Putting it all together

Market Data

Allocation

Rule

ARPI

Regime

Assets

Proprietary Strategy

HMM

• The final step in the process is to allocate between asserts, based on the prevailing regime of the day

• The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned with the differing perceived risk levels associated with each regime

• As seen, in the majority of cases there is no change to the prevailing regime

Regime 1

Regime 2

Regime 4

Regime 3

Highly Aggressive Allocation

Moderately Aggressive Allocation

Moderately Conservative Allocation

Highly Conservative Allocation

Page 17: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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August 17, 2012 17

Overview of the application: “The NXS SHARPe Series”

SHARPe US Equity Index

SHARPe Multi Asset

Worldwide Index

ARPI Regime

Regime 1 Offensive Profile

Low

Regime 2 Dynamic Profile

Moderate

Regime 3 Balanced Profile

High

Regime 4 Conservative Profile

Very high

100% 75%

25% 25%

75% 100%

Equity

Risk Free Asset

50%

25%

25% 35%

25%

20%

10%

10% 10% 10%

10%

10% 35%

25%

50%

35%

15% Equity

Real Estate

Commodity

Hedge Funds

Bonds MLT

Bonds ST

Cash

Allocation

RISK:

Flagship Index

Page 18: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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NXS SHARPe Multi Asset Worldwide USD

Offensive Profile

25%

25%

50% 1

Dynamic Profile

35%

25%

20%

10%

10%

7

Balanced Profile

10%

10%

10%

25% 0% 10%

35%

7

Conservative Profile

50%

30%

20%

Equity

Real-Estate

Commodity

Hedge Funds

Bond MLT

Bond ST

Cash

• Dynamic reallocation between 4 distinct management profiles • Offensive, dynamic, balanced and conservative

• 7 asset classes in the worldwide markets through liquid indices

• Equity : US, Europe and Emerging Markets • Real-Estate : Listed REITsindex (US & Europe) • Commodities : Listed Commodity index • Hedge Funds : Natixis HF replicating Index ie NXS-AIR Index (Ticker Bloomberg : IQHGIXIS Index) • Medium Long Term Bonds : LT US and Europe Government bond index (duration > 3 years) • Short Term Bonds : LT US and Europe Government bond index (duration < 3 years) • Cash : Compounded overnight US rate

• A portfolio fully invested at any time, without leverage and no short positions

Page 19: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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NXS SHARPe Multi Asset Worldwide USD – Performance

Comparison of the annual risk / return between asset classes

Equity

Real-EstateCommodity

Hedge Funds

Bond MLT

Bond ST

Cash

SHARPe Multi Asset Worldw ide

0%

2%

4%

6%

8%

10%

12%

0% 5% 10% 15% 20% 25% 30%Volatility

An

nu

al re

turn

Investment in the strategy and asset classes achieved from 01/7/99 to 02/12/11

Comparison of performances

0

100

200

300

400

500

600

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

SHARPe Multi Asset Worldw ideStatic StrategyEquityReal-EstateCommodityHedge FundsBond MLTBond STCash

Page 20: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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● Layer 1 – Risky Asset Allocation :

The Risky Asset Allocation is designed to embed a Natixis SHARPe Quantitative Allocation

● Layer 2 – Performance Engine:

The performance engine implements a Volatility Control mechanism

A Systematic rebalancing occurs between the Natixis SHARPe Allocation and a Safe Asset

The rebalancing follows the ratio of the Target Volatility to the Realised Volatility

● Layer 3 – Smart CPPI on the Performance Engine :

A classic CPPI portfolio management technique is at risk of Cash-lock

Using Natixis ARPI and HMM, the Cash-lock is eliminated for higher risk regimes

3 Protection Layers for a Resilient Investment Solution

Page 21: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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● Basic Structure:

The CPPI Protects a fixed percentage (typically 80%) of the maximum observed NAV by dynamically re-balancing between risky and risk-free assets, on the basis of a predefined mechanism

In the most simple case, the difference between current NAV and the protection level (the “cushion”) is calculated. A constant proportion of the cushion is then invested in the risky asset

As the risky asset moves, the portfolio is rebalanced in accordance with the cushion available

Constant Proportion Portfolio Insurance (CPPI)

CASH

RISK ASSET

FUND NAV = 100% PROTECTION = 80%

CUSHION = NAV – PROTECTION = 20%

MULTIPLIER = 3

60%

40%

FUND NAV = 125% PROTECTION = 100%

CUSHION = NAV – PROTECTION = 25%

MULTIPLIER = 3

FUND NAV = 90% PROTECTION = 80%

CUSHION = NAV – PROTECTION = 10%

MULTIPLIER = 3

CASH

RISK ASSET 75%

25%

CASH

RISK ASSET 30%

70%

Page 22: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Key drawbacks of traditional CPPI: • Cash-Lock: In a falling market, cushion can become zero leading to the structure becoming cash-locked • Path dependence: Fund performance has path dependency and suffers from weak recovery dynamics

Solution:

Not path-dependent (typical of standard CPPI/ Vol control offering)

Asset allocation rebalancing process is risk-regime switching-based

The ability to remove market movement sensitivity allow the product design to be less Greeks hedging

sensitive

Efficient protection in sharp market downside allow the product to react more positively in draw-down

scenarios

An optimal product feature which can allow more flexibility on actuarial (behavioral assumptions, fund

switching, lapse...) through a constant protection mechanism (no cash lock-in)

Ability to be packaged in multiple offerings (Asset-Allocation expertise, Separate Managed Account and

Derivatives) with no direct credit exposure to the model provider

Natixis Smart CPPI

A Smart CPPI product offering based on Natixis proprietary/ quantitative asset-allocation model (SHARPe) with the main product benefits:

Page 23: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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● The Smart CPPI makes use of the ARPI for allocation purposes. Allocation is made according to a variable Multiplier. The Multiplier is scaled according to the ARPI

Allocation is conservative during periods of high risk aversion

Allocation is aggressive during periods of low risk aversion

Smart CPPI using the ARPI

Regime 1

Regime 2

Regime 4

Regime 3

Highly Aggressive Allocation

Highly Conservative Allocation

Moderately Aggressive Allocation

Moderately Conservative Allocation

3

0

1

5

Variable Multiplier

80%

20% Cushion

Bond Floor

X

3 Risk Asset 60%

RISK ASSET EXPOSURE = CUSHION x VARIABLE MULTIPLIER

Function of Risk Regime

Page 24: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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The Vol Target Smart CPPI Strategy

RISK ASSET EXPOSURE = CUSHION x VARIABLE MULTIPLIER

Function of Risk Regime

x Volatility Adjustment Factor

Page 25: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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• Back-tested Simulations from July 1999 to July 2012

The Vol Target Smart CPPI Strategy

* Past performance does not guarantee and is not indicative for future results Sources : Bloomberg, Natixis

0%

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

60

80

100

120

140

160

180

Jul-99 Jun-00 Jun-01 Jun-02 Jun-03 Jun-04 Jun-05 Jun-06 Jun-07 Jun-08 Jun-09 Jun-10 Jun-11 Jun-12

Ris

ky A

lloca

tion

Perf

orm

ance

Smart & Smooth TIPP SPX Backtest

Effective Risky Alloc (RHS)

SPX TR Smart & Smooth TIPP Protected Level Standard TIPP (Multiplier = 3)

Page 26: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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• What about Cash Lock Event risk ?

• Such an event could occur only in regime 1 or 2…

• Using the SPX as an example:

• In REGIME 1 (multiplier = 5): monetization risk if SPX draw downs > -20% between 2 rebalancing dates

• In REGIME 2 (multiplier = 3): monetization if the SPX draw downs > -33.3% between 2 rebalancing dates

• In REGIME 3 (multiplier = 1): no risk of monetization

• In REGIME 4 (multiplier = 0): no risk of monetization

The Vol Target Smart CPPI Strategy

20%

80%

t Risky asset = 20 x M Cash = 100 – 20 M

t + 1 Risky asset = 20 x M (1 - ∆) Cash = 100 – 20 M

(100 – 20 M) + 20 M (1 - ∆) > 80 ∆ < 1/M

Page 27: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Resilience of a Smart CPPI in Higher Risk Regime

Page 28: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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III. Rolling Volatility Strategies

Page 29: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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16

17

18

19

20

21

22

23

1m 2m 3m 4m 5m 6m 7m

Contango Volatility Shape

Protection

Earn Carry

downward slide25

27

29

31

33

35

1m 2m 3m 4m 5m 6m 7m

Backwardation Volatility Shape

Protection + positive slide

'

How It Works…

Benefit from long volatility exposure in stressed market, and from reduced cost in calm market Stressed Market Calm Market

Natixis Rolling Volatility Strategy

High negative correlation to equities Rapid & strong response to market selloff Earn positive carry when the volatility term structure inverts

More decoupled from equities Monetize upward sloping volatility term structure by selling front month Future Potentially profit from the negative roll yield

Rolling mechanism of Long/ Short Volatility depending on Volatility Shape

Page 30: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Evolution of VIX Futures Term Structures

VIX Futures Term Structures are often in contango during calm markets in backwardation during stressed markets

Page 31: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Frequency of Contango - Monthly Data since Jan 2007

SPX & TS Indicator - Data since Nov 2006

How It Works…Select an allocation with Volatility Term Structure

All sources for tables & graphs: Natixis, Bloomberg as of July 31st 2012

The term structure is measured with SPX options of different expirations. Dark bands mark periods where short term volatility (as measured by the VIX) exceeds medium term volatility (as measured by the VXV).

VIX vs. TS Indicator - Data since Jan 2007 Contango Backwardation SPX

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

Nov-06 Aug-07 Apr-08 Jan-09 Sep-09 Jun-10 Feb-11 Nov-11 Jul-120

200

400

600

800

1000

1200

1400

1600

18002007 2008 2009 2010 2011 2012

Jan 100% 48% 100% 100% 100% 100%Feb 100% 45% 21% 100% 100% 100%Mar 50% 40% 18% 100% 87% 100%Apr 100% 100% 100% 100% 100% 100%May 100% 100% 100% 35% 100% 100%Jun 100% 100% 100% 68% 100% 100%Jul 81% 36% 100% 100% 95% 100%Aug 0% 95% 100% 100% 0%Sep 32% 38% 100% 100% 24%Oct 100% 0% 100% 100% 81%Nov 62% 0% 80% 100% 100%Dec 100% 45% 100% 100% 100%

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

1.4

0 20 40 60 80 100

2007 2008 2009 2010 2011 2012VIX

TS

TS = Term Structure Indicator TS < 1 - Contango TS > 1 - Backwardation TS = Vix / Vxv where Vxv = CBOE S&P 500 3-Month Volatility Index

Page 32: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Investing in the Natixis Rolling Volatility Strategy can be available through a choice of vehicles:

Swap, Note linked to the strategy performance Combined with other assets as a macro-hedged portfolio fund

Flexible Investment Choices

SPX Overlay: Example of a combined allocation

Multiple users Insurance Company Asset Manager Pensions & Endowments Registered Investment advisors (RIAs) Hedge Fund, Fund of Fund Credit Fund Sovereign fund

Past performances are not reliable indicators for future results or performance. Variations may be material. All sources for tables & graphs: Natixis, Bloomberg as of May 31st 2012

0%

50%

100%

150%

200%

250%

300%

Nov-06 Dec-07 Jan-09 Feb-10 Apr-11 May-12

SPX/NXS Rolling Volatility Strategy Allocation 50%/50%SPX/NXS Rolling Volatility Strategy Allocation 75%/25%SPX

Page 33: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

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Convexity of the Natixis Rolling Volatility Strategy to SPX return - Data since Nov 2006

In Depth: Strong responsiveness in market downturns

Tail Events Focus

Past performances are not reliable indicators for future results or performance. Variations may be material. All sources for tables & graphs: Natixis, Bloomberg as of May 31st 2012

Natixis Rolling Volatility Strategy SPX

Year 2008 +118.0% -38.5%

2010 Flash Crash [Apr-Jul] +15.6% -16.0%

2011 S&P Downgrade [Jul-Oct] +65.6% -18.3%

-20%

-15%

-10%

-5%

0%

5%

10%

15%

20%

25%

30%

-20% -15% -10% -5% 0% 5% 10% 15% 20%SPX 5d %chg*

NXSRVS 5d %chg*

Controlled downside risk

Strong reactivity in market downturn

*Overlapped data

Page 34: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

34

Relative Performance of Rolling Volatility Strategy to SPX 1 year Puts

-150

-100

-50

0

50

100

150

Jan-11 May-11 Sep-11 Jan-12

Cum

ulat

ive

P &

L S

prea

d ( $

)

Spread: Natixis Rolling Vol Strategy - Puts

Net+ $ 61

Relative Performance of Rolling Vol Strategy to SPX 1 year Puts

-150

-100

-50

0

50

100

150

Jan-10 May-10 Sep-10 Jan-11 May-11 Sep-11 Jan-12

Cum

ulat

ive

P &

L S

prea

d ( $

)

Spread: Natixis Rolling Vol Strategy - Puts

Net+ $ 164

Relative Performance to S&P Index Puts from Jan 2010 to Jan 2012

In Depth: Comparison to SPX 1y ATM Puts

All sources for tables & graphs: Natixis, Bloomberg as of May 31st 2012

Jan 2011-Jan 2012 Focus Comparison of Rolling Volatility Strategy to

SPX 1 year Puts

-150

-100

-50

0

50

100

Jan-11 May-11 Sep-11 Jan-12

P &

L (

$ )

Natixis Rolling VolStrategySPX 12M Puts ATM

Both strategies rebalanced quarterly to a $100 investment.

Comparison of Rolling Volatility Strategy to SPX 1 Year Puts

-150

-100

-50

0

50

100

Jan-10 May-10 Sep-10 Jan-11 May-11 Sep-11 Jan-12

P &

L (

$ )

Natixis Rolling VolStrategySPX 12M Puts ATM

Both strategies rebalanced quarterly to a $100 investment.

Strong Bleeding

Page 35: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

35

Natixis Rolling Volatility Strategy Index SPX Index

Annualized Return +27.3% -1.4%

Best Month +67.9% +12.1%

Average Monthly +2.7% +0%

Max Drawdown -12.5% -9%

Annualized vol 29.3% 25.6%

% Winning Month 50.8% 60.6%

0%

100%

200%

300%

400%

500%

600%

Nov-06 Dec-07 Jan-09 Feb-10 Apr-11 May-12

NXS Rolling Volatility StrategyVXZ (SPVXMTR Index)

Flash Crash 2010

2008

S&P USA Downgrade

2011

Implementation Based on exchange-traded VIX Futures contracts Dynamic long/short allocation, always net positive volatility exposure Allocation between near term and far term maturities “Cost control” through monitoring the volatility yield cost Macro Behaviors Step-up or Spike-up behavior during crises and crashes Carry cost management in periods of stable volatility Strong sensitivity to equity without strike levels (contrast to put options) An alternative to timing the market or timing the hedge

Cumulative Performance - Data since Nov 2006

Natixis Rolling Volatility Strategy

Past performances are not reliable indicators for future results or performance. Variations may be material. All sources for tables & graphs: Natixis, Bloomberg as of May31st 2012

Return & Volatility - Data since Nov 2006 Monthly Performances - Data since Jan 2007

A staircase-like progression

2007 2008 2009 2010 2011 2012Jan -3.4% -0.3% 2.8% -1.4% -7.4% -4.6%Feb -3.0% 2.7% 7.5% 1.3% -1.5% 3.7%Mar -2.7% -0.3% 5.0% -0.7% -2.6% -8.6%Apr 1.0% -4.7% -5.1% 2.3% -2.4% 0.3%May 3.1% 6.1% -6.0% 11.8% -0.6% 7.1%Jun 3.6% -1.5% 0.4% 1.1% -0.4%Jul 15.4% -4.7% 4.1% -4.1% -4.3%Aug 8.0% 3.4% 3.9% 8.2% 32.1%Sep -7.9% 10.5% 1.4% -0.4% 20.7%Oct 6.4% 67.9% -1.7% -4.9% -16.3%Nov 8.2% 20.3% 2.1% -0.3% 5.4%Dec 2.6% -2.5% -1.1% -7.1% -6.4%

Annual Return 33.3% 118.0% 13.1% 4.4% 8.2% -2.8%

Page 36: Northfield’s 25th Annual Research Conferenceprevailing regime of the day • The allocation weights between assets are generally fixed at the beginning of the strategy, and are aligned

36

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