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Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitative Equities and Portfolio Manager DC Investment Forum September 27-28, 2012 and Portfolio Manager P) 625853.1.0 F) 625857.1.0 Overview 1. Introduction 2. Traditional Asset Allocation 3. Absolute Return / Risk Parity Asset Allocation 2 For Institutional Use Only See "Important Information" for a discussion of performance data, some of the principal risks related to any of the investment strategies referred to in this presentation and other information related to this presentation.
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Page 1: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Low-volatility Equity in Asset Allocation

Bill HoytHead of Quantitative Equities and Portfolio Manager

DC Investment Forum

September 27-28, 2012

and Portfolio Manager

P) 625853.1.0 F) 625857.1.0

Overview

1. Introduction

2. Traditional Asset Allocation

3. Absolute Return / Risk Parity Asset Allocation

2 For Institutional Use Only

See "Important Information" for a discussion of performance data, some of the principal risks related to any of the investment strategies referred to in this presentation and other information related to this presentation.

Page 2: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Introduction

Slide divider subtitle placeholder

For Institutional Use Only

Introduction to Low-volatility InvestingFinance Theory Versus Empirical Reality

Finance theory postulates that investors in high risk stocks are rewarded for bearing additional risk through higher returns

In reality, low risk stocks have generally outperformed high risk stocks over multiple decades and across the globe

• “Risk and the Rate of Return on Financial Assets: Some Old Wine in New Bottles” – Haugen & Hines [1975] – question positive risk-return relationship

• “The Cross-Section of Volatility and Expected Returns” – Ang, Hodrick, Xing, Zhang [2006] – find stocks with high idiosyncratic volatility have low future returns in the US from 1963 to 2000

For Institutional Use Only4

• “High Idiosyncratic Volatility and Low Returns: International and Further US Evidence” – Ang, Hodrick, Xing, Zhang [2009] – find stocks with high idiosyncratic volatility have low future returns across 23 developed markets from 1980 to 2003

Page 3: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Introduction to Low-volatility InvestingFinance Theory Versus Empirical Reality (Canadian Evidence: 1990-2012)

6%

8%

10%

12%

25%

30%

35%

Risk and Return - Low/High Volatility Buckets

Risk Return

-2%

0%

2%

4%

6%

5%

10%

15%

20%

Highest Volatility Quintile 2nd Highest Quintile Middle Quintile 2nd Lowest Quintile Lowest Volatility Quintile

Risk Return

0 42 0.560.80

0.97

0 600.801.001.20

Return/Risk Ratio - Low/High Volatility Buckets

For Institutional Use Only5

-0.02

0.42

-0.200.000.200.40

0.60

Highest Volatility Quintile

2nd Highest Quintile Middle Quintile 2nd Lowest Quintile Lowest Volatility Quintile

Introduction to Low-volatility InvestingFinance Theory Versus Empirical Reality (80+ Years Evidence: US 1929-2012)

11%

13%

15%

20%

25%

30%

Risk and Return - Low/High Volatility Buckets

Risk Return

3%

5%

7%

9%

5%

10%

15%

Highest Volatility Quntile 2nd Highest Quntile Middle Quintile 2nd Lowest Quintile Lowest Volatility Quntile

Risk Return

0.85

1.20

0 80

1.00

1.20

1.40

Return/Risk Ratio - Low/High Volatility Buckets

For Institutional Use Only6

0.210.44 0.60

0.00

0.20

0.40

0.60

0.80

Highest Volatility Quntile 2nd Highest Quntile Middle Quintile 2nd Lowest Quintile Lowest Volatility Quntile

Page 4: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Introduction to Low-volatility InvestingThe Low-volatility Anomaly

Why does the low-volatility anomaly exist?

B h i l bi h th f K h d T k• Behavioral biases, such as those from Kahneman and Tversky

Why hasn’t it been arbitraged away?

• Cap-weighted, benchmark-relative, IR maximizing mandates

Will it persist?

• Behavioral biases are ingrained and benchmark-relative mandates

For Institutional Use Only7

gincreasingly important

Low-volatility AnomalyBehavioral Biases Drive Low-volatility Anomaly

Behavioral biases drive investor’s irrational preference for high risk stocks

• Stocks as lotteries

• Overconfidence

• Representativeness

• Attention Bias

• Winners Curse

For Institutional Use Only8

Winners Curse

• Leverage Constraint

Page 5: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Low-volatility AnomalyLimits to Arbitrage Allow Anomaly to Persist

Benchmark-relative, IR maximizing mandates shift focus from absolute risk to relative risk (tracking error)

For example:For example:

Stock A:Beta of One

Stock B :Low Beta

Same return expectations

For Institutional Use Only9

Which one has lower relative risk? Which one has lower absolute risk?Better investment?

Low-volatility PortfoliosVersus Cap-Weighted Benchmark Relative Strategies

Unlike traditional equity strategies, low-volatility strategies…

• Do not focus on tracking error relative to a cap-weighted benchmarkI t d f b l t i k ith id l f i k hil f ll i t d• Instead focus on absolute risk with ideal of zero risk while fully invested

• Do not incorporate many benchmark-relative risk controls – sectors, styles, etc.• Instead allow biases to flow through if they reduce expected volatility

• Do not optimize against an equity benchmark• Instead use the benchmark to define an investable universe

For Institutional Use Only10

• Do not focus on stocks with near unit (1) betas• Instead focus on low beta – low-volatility stocks

Page 6: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

10

12

Low Volatility Portfolio

Market

Low-volatility Portfolios in CanadaVersus Cap-Weighted Benchmark Relative Strategies

Performance Summary Canadian Low-

volatility Portfolio(Gross)

TSX Composite

Annualized Return 11.5% 8.4%

2

4

6

8

Gro

wth

of a

Dol

lar I

nves

ted Annualized Volatility 10.5% 15.0%

Ratio 1.1 0.6

Worst 12 Months -28.3% -38.2%Best 12 Months 48.3% 62.5%

0

2

1990

06

1992

06

1994

06

1996

06

1998

06

2000

06

2002

06

2004

06

2006

06

2008

06

2010

06

For Institutional Use Only11

Model portfolio data has inherent limitations due to the retroactive application of a model designed with the benefit of hindsight and may not reflect the effect that any material market or economic factors may have had on Pyramis' use of the model during the time periods shown.Thus, Model Performance is speculative and of extremely limited use to any investor and should not be relied upon.Hypothetical performance of the model is no guarantee of future results

Low-volatility Portfolios Over 80 YearsVersus Cap-Weighted Benchmark Relative StrategiesReturn potential of low-volatility equity investing spans more than eight decades, according to our research

• Our model portfolio accounts for market liquidity and investability

U S Largest 500 by Market Capitalization 1929 2012 Q1

Low-volatilityModel Portfolio

Cap-WeightedEquities

Annualized Geometric Return 10.4% 7.3%

Annualized Volatility 10.1% 17.4%

Return / Risk Ratio 1.03 0.42

Beginning Value (1929/1/1) $1.00 $1.00

Ending Value (2012/3/31) $3602.77 $312.33

U.S. Largest 500 by Market Capitalization, 1929 – 2012 Q1

For Institutional Use Only12

Source: CRSP, Pyramis Global Advisors

Model portfolio data has inherent limitations due to the retroactive application of a model designed with the benefit of hindsight and may not reflect the effect that any material market or economic factors may have had on Pyramis' use of the model during the time periods shown. Thus, Model Performance is speculative and of extremely limited use to any investor and should not be relied upon.Hypothetical performance of the model is no guarantee of future results

• Low-volatility investing is associated with a 3.1% annualized U.S. equity outpeformance, by reducing risk to 60% of cap-weighted equities

• The turtle outpaces the hare (by reducing “volatility drag”)

Page 7: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Low-volatility Portfolios Over 80 Years Managing Volatility with Equities: Low-volatility Investing vs. Low-beta Investing

Low-volatility investing should not be confused with naïve low-beta investing

U.S. Largest 500 by Market Capitalization, 1929 – 2012 Q1

% Allocation to % Allocation to 

30‐Day  Annualized Annualized Geometric 

Equities Treasury Bills Volatility ReturnLow‐VolatilityModel Portfolio 100% 0% 10.1% 10.4%

Volatility‐Matched Passive Benchmark 58% 42% 10.1% 5.7%

0.6%

4.3% 3.7% 4.4%2.2%

9.2%

1.2%

6.7%

3%

8%

13%Low-Volatility Model Portfolio Annualized Returns Over Volatility-Matched

Benchmark

13

Source: Haver Analytics, CRSP, Pyramis Global Advisors

%

-2%1930s 1940s 1950s 1960s 1970s 1980s 1990s 2000s

Model portfolio data has inherent limitations due to the retroactive application of a model designed with the benefit of hindsight and may not reflect the effect that any material market or economic factors may have had on Pyramis' use of the model during the time periods shown. Thus, Model Performance is speculative and of extremely limited use to any investor and should not be relied upon.Hypothetical performance of the model is no guarantee of future results

For Institutional Use Only

Low-volatility Portfolios Over 80 YearsDownside Protection In Market Stress Periods, 1929 – 2012 Q1

Low-volatilityModel Portfolio

Cap-WeightedEquities

Great Depression (1929/10/01 – 1939/12/31)Period Return -36.2% -64.8%

Period Annualized Volatility 16.0% 30.3%

1987 Black Monday (1987/10/14 – 1987/10/19)Period Return -16.7% -26.4%

Period Annualized Volatility 78.1% 122.3%

Dot-Com Crash (1999/12/01 – 2002/09/30)Period Return +17.3% -35.2%

Period Annualized Volatility 14.3% 22.5%

Global Financial Crisis (2008/03/01 2009/02/27)

For Institutional Use Only14

Source: CRSP, Pyramis Global Advisors

Global Financial Crisis (2008/03/01 – 2009/02/27)Period Return -26.6% -42.8%

Period Annualized Volatility 26.3% 40.8%

Model portfolio data has inherent limitations due to the retroactive application of a model designed with the benefit of hindsight and may not reflect the effect that any material market or economic factors may have had on Pyramis' use of the model during the time periods shown. Thus, Model Performance is speculative and of extremely limited use to any investor and should not be relied upon.Hypothetical performance of the model is no guarantee of future results

Page 8: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Traditional Asset Allocation

Slide divider subtitle placeholder

For Institutional Use Only

Traditional Asset Allocation (Stocks and Bonds)Managing Volatility – Balancing Risk and Returns

Given the past few years of volatile equity markets, investors have found the diversification of bond investing to dampen portfolio risk

Yet, given historically low interest rates and the potential of low bond returns, g ybonds may not be the best asset class to manage volatility.

Ideally, investors would want returns that correlate with bonds yet achieve equity-like levels of returns.

25%

30%

35%

Correlation with DEX Universe Bonds

For Institutional Use Only16

10%

15%

20%

EM Equity Intl-Ex US Equity

US Equity Canadian Equity

Canadian Low Vol

High Yield

Page 9: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Traditional Asset Allocation Managing Volatility – Balancing Risk and Returns

Stocks

10%

11%

12%

20%

25%

Volatility

ReturnBonds

4%

5%

6%

7%

8%

9%

0%

5%

10%

15%

For Institutional Use Only17

From Most to Least Volatile

Traditional Asset Allocation Example Use

Strategy Return (Gross) Volatility Sharpe

Canada

Traditional Allocation (60/40) 8.6% 9.6% 0.46

Traditional with Low-vol Equity 10.3% 7.1% 0.86

Difference 1.7% -2.5% 0.40US

Traditional Allocation (60/40) 9.6% 10.0% 0.43

Traditional with Low-vol Equity 11.9% 8.5% 0.78

Difference 2.3% -1.6% 0.35

Global

18

Global

Traditional Allocation (60/40) 4.5% 11.3% 0.15

Traditional with Low-vol Equity 8.0% 7.2% 0.72

Difference 3.4% -4.2% 0.57Model portfolio data has inherent limitations due to the retroactive application of a model designed with the benefit of hindsight and may not reflect the effect that any material market or economic factors may have had on Pyramis' use of the model during the time periods shown. Thus, Model Performance is speculative and of extremely limited use to any investor and should not be relied upon.Hypothetical performance of the model is no guarantee of future results

For Institutional Use Only

Page 10: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Key Takeaways of Low-Volatility Equity

Main Benefits

It may be possible to simultaneously reduce risk and

Actionable Items

Discuss with your consultant and get confirmation on the value

enhance returns

Effective asset allocation diversifiers in comparison with cap-weighted equities

Risk parity provides a powerful

of low-volatility equity

Explore how low-volatilityequity would interact with other investment options in the plan line-up

For Institutional Use Only19

Risk parity provides a powerful analytical framework for investing in low-volatility equities

Work with your plan to educate your plan members

Absolute Return / Risk Parity Asset Allocation

Slide divider subtitle placeholder

For Institutional Use Only

Page 11: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

BackgroundEquity Risk Dominance

-10%

0%

10%

-10%

0%

10%Period 1928 - 2011

-60%

-50%

-40%

-30%

-20%

-60%

-50%

-40%

-30%

-20%

S&P 500 Drawdown

60/40 (S&P 500 / US Treasuries) Drawdown

For Institutional Use Only21

-80%

-70%

-80%

-70%

1928

0119

3001

1932

0119

3401

1936

0119

3801

1940

0119

4201

1944

0119

4601

1948

0119

5001

1952

0119

5401

1956

0119

5801

1960

0119

6201

1964

0119

6601

1968

0119

7001

1972

0119

7401

1976

0119

7801

1980

0119

8201

1984

0119

8601

1988

0119

9001

1992

0119

9401

1996

0119

9801

2000

0120

0201

2004

0120

0601

2008

0120

1001

BackgroundMotivation

Absolute returns requires an asset allocation framework that produces positive returns in all environments, not just in a rising stock marketstoc a et

Risk parity is an allocation framework that balances the risks in a portfolio

Need to reduce dominance of equity risk in traditional asset allocation

For Institutional Use Only22

An example of achieving risk parity is through equalizing economic risk factors in a portfolio

Page 12: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

BackgroundBasic Economic Risk Factor Framework

In order to reduce / balance out the risk of equities and high risk assets, typically investors bucket asset classes in economic scenarios of growth and inflation. The goal is to balance out the risk for all scenarios.

GDP Growth

Rising

Inflation

CommoditiesTIPS

EquityHigh Yield

CommoditiesREITS

Eq it

For Institutional Use Only23

FallingGovernment Bonds

TIPS

EquityHigh Yield

REITSGovernment Bonds

BackgroundBasic Economic Risk Factor Framework

In a risk model formRisk Factor Covariance Matrix (V)

Growth Risk Inflation

Asset Exposure Matrix (H)

Growth Risk Rgrowth 0

Inflation Risk 0 Rinflation

Growth Risk RiskEquity + -Bonds - -

Commodities + +

H x V x HT

Examples

For Institutional Use Only24

If Rgrowth = Rinflation cor(Equity,Bonds) = 0

If Rinflation > Rgrowth cor(Equity,Bonds) = +

If Rgrowth > Rinflation cor(Equity,Bonds) = -

Page 13: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

BackgroundBasic Economic Risk Factor Framework

Inflation Falling Inflation Rising

GDPGrowth 0.80

1.20

1.60

tio 0.80

1.20

1.60

tio

Rising

-0.40

0.00

0.40

S&P500 BarCap US Agg

Commodities 60/40 RiskParity

Shar

pe R

at

-0.40

0.00

0.40

S&P500 BarCap US Agg

Commodities 60/40 RiskParity

Shar

pe R

at

1.20

1.60

o

1.20

1.60

For Institutional Use Only25

GDPGrowthFalling

‐0.40

0.00

0.40

0.80

S&P500 BarCap US Agg

Commodities 60/40 RiskParity

Shar

pe R

atio

-0.40

0.00

0.40

0.80

S&P500 BarCap US Agg

Commodities 60/40 RiskParity

Shar

pe R

atio

Absolute Return / Risk Parity in Canada1990-2012

-15%

-10%

-5%

0%

-45%

-40%

-35%

-30%

-25%

-20%

1990

06

1992

06

1994

06

1996

06

1998

06

2000

06

2002

06

2004

06

2006

06

2008

06

2010

06

TSX Drawdown60/40 DrawdownRiskParity with Low Vol

For Institutional Use Only26

Ann.Return Volatility Ratio Ann. Rel.

ReturnAnn. Rel.Volatility Sharpe

Risk Parity with Low-vol 9.63% 5.25% 1.83 5.43% 5.26% 1.03

60/40 8.62% 9.58% 0.90 4.42% 9.60% 0.46

Page 14: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Absolute Return / Risk Parity in Canada1990-2012

4

8

Risk Parity with Low Vol60/40

1

2

199…

199…

199…

199…

199…

199…

199…

199…

199…

199…

200…

200…

200…

200…

200…

200…

200…

200…

200…

200…

201…

201…

29%30%35%

% of Time Drawdown below 5%

19%25%

% of Time Drawdown below 10%

For Institutional Use Only27

8%

0%5%

10%15%20%25%30%

Risk Parity with Low Vol 60/40

1%

19%

0%

5%

10%

15%

20%

Risk Parity with Low Vol 60/40

Absolute Return / Risk Parity Summary for Different Regions

Strategy Return (Gross) Volatility Sharpe

Canada

Traditional Allocation (60/40) 8.6% 9.6% 0.46

T diti l ith L l E it 10 3% 7 1% 0 86Traditional with Low-vol Equity 10.3% 7.1% 0.86

Risk Parity with Low-vol Equity 9.6% 5.2% 1.03

US

Traditional Allocation (60/40) 9.6% 10.0% 0.43

Traditional with Low-vol Equity 11.9% 8.5% 0.78

Risk Parity with Low-vol Equity 9.9% 5.1% 0.90

Global

For Institutional Use Only28

Global

Traditional Allocation (60/40) 4.5% 11.3% 0.15

Traditional with Low-vol Equity 8.0% 7.2% 0.72

Risk Parity with Low-vol Equity 8.1% 6.5% 0.82Model portfolio data has inherent limitations due to the retroactive application of a model designed with the benefit of hindsight and may not reflect the effect that any material market or economic factors may have had on Pyramis' use of the model during the time periods shown. Thus, Model Performance is speculative and of extremely limited use to any investor and should not be relied upon.Hypothetical performance of the model is no guarantee of future results.

Page 15: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Key Takeaways of Low-volatility Equity

Main Benefits

It may be possible to simultaneously reduce risk and

Actionable Items

Discuss with your consultant and get confirmation on the value

enhance returns

Effective asset allocation diversifiers in comparison with cap-weighted equities

Risk parity provides a powerful

of low-volatility equity

Explore how low-volatilityequity would interact with other investment options in the plan line-up

For Institutional Use Only29

Risk parity provides a powerful analytical framework for investing in low-volatility equities

Work with your plan to educate your plan members

Questions?

For Institutional Use Only

Page 16: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Appendix

Slide divider subtitle placeholder

For Institutional Use Only

Methodology and Notes

The quintiles (five groups) are defined by sorting on predicted beta for each stock as defined by Barra’s CNE4L model within the TSX Composite universe. The quintiles are formed every month and the returns associated with the quintiles are calculated on a monthly basis with equal weighting for each stock. The monthly returns are then used to calculated the data and results. The time period (June 1990 to March 2012) for the analysis was chosen because of data availability and the ability to match all time periods associated with Canadian portfolio simulations in the

Slide 5

y y p ppresentation.

Slide 6The quintiles (five groups) are defined by sorting on historical beta for each stock as defined by trailing 3 year daily return data at each point in time and a regression to the market using the Center for Research in Security Prices (CRSP) data set and entire universe. The quintiles are formed every month using the above methodology and the returns associated with the quintiles are calculated on a monthly basis with equal weighting for each stock. The monthly returns are then used to calculated the data and results. The time period (January 1929 to March 2012) for the analysis was chosen because of data availability and the ability to match all time periods associated with U.S. 80 year portfolio simulations in the presentation.

Slide 11

For Institutional Use Only32

The Canadian low-volatility portfolio is created by using Barra’s CNE4L risk model and executing a minimum variance optimization every month using a proprietary optimizer. The optimization process uses TSX Composite stocks as its universe with various realistic portfolio constraints and transaction costs settings, such as maximum position size, liquidity availability, asset under management capacity and turnover limits. The weights from the resulting optimization are then used to calculate the return of the portfolio every month with appropriate transaction costs taken out. The monthly returns are then used to calculated the data and results. The time period (June 1990 to March 2012) for the analysis was chosen because of data availability and the ability to match all time periods associated with Canadian portfolio simulations in the presentation.

Slide 11

Page 17: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Methodology and Notes

The U.S. low-volatility portfolio is created by using a proprietary risk model and executing a minimum variance optimization every month using a proprietary optimizer. The risk model combines both fundamental and quantitative factors in determining the variance and covariance of stocks in the optimization universe. The optimization process uses the largest 500 stocks by market capitalization in the CRSP data set on a monthly basis as its universe with various realistic portfolio constraints and transaction costs settings, such as maximum position size, liquidity

Slide 12-14

availability, asset under management capacity, and turnover limits. The weights from the resulting optimization are then used to calculate the return of the portfolio every month. The monthly returns are then used to calculated the data and results. The time for the analysis (January 1929 to March 2012) was chosen because of data availability and the ability to match all time periods associated with U.S. 80 year portfolio simulations in the presentation.

Slide 16-17

The date range used in the study is June 1990 to March 2012. The EM equity results use MSCI EM total monthly returns. The Intl-exUS equity results use MSCI EAFE total monthly returns. The U.S. equity results use the S&P 500 total monthly returns. The Canadian equity results use the TSX Composite monthly returns. The high yield results use Bank of America/Merrill Lynch U.S. High-Yield Master II Constrained Index total monthly returns. The bond results were taken from the family of bond indexes for DEX as shown on the slides.

For Institutional Use Only33

Methodology and Notes

For each region, different date ranges were used based on availability of data. Canadian results: the date range used in the study is June 1990 to March 2012. U.S. results: date range is January 1973 to March 2012 . Global results: date range is January 1999 to March 2012. Each region also has different corresponding components. The Canadian results use the TSX Composite, the Canadian low-volatility portfolio described in slide 32, and the DEX Universe Bond Index. The U.S. results use the S&P 500, the U.S. low-volatility portfolio described in slide 33, and Barclays U.S.

Slide 18

, y p , yAggregate Bond index when data available and then Ibbotson U.S. Immediate Treasuries as a substitute. The global results use the MSCI ACWI Index, a global low-volatility portfolio, and Barclays Global Aggregate Bond Index. The global low-volatility portfolio is created by using Barra’s GEM2L risk model and executing a minimum variance optimization every month using a proprietary optimizer. The optimization process uses MSCI ACWI stocks as its universe with various realistic portfolio constraints and transaction costs settings, such as maximum position size, liquidity availability, asset under management capacity and turnover limits. The weights from the resulting optimization are then used to calculated the return of the portfolio every month with appropriate transaction costs taken out. The monthly returns are then used to calculated the data and results.

Slide 25The date range used in the study is January 1971 to March 2012. The commodity results uses DJUBS Commodity Index total monthly returns. The U.S. risk parity results combine six assets (Bank of America/Merrill Lynch U.S. High-

For Institutional Use Only34

y p y ( y gYield Master II Constrained Index, DJUBS Commodity Index, U.S. Treasury Inflation Protected Securities and its proxy sourced from Fidelity, Barclays Government Bonds Index, U.S. low-volatility portfolio, and the FTSE NAREIT Index) in a proprietary framework that weights the six assets each month based on balancing economic risk. The resulting weights and the returns for each asset combine to determine the monthly returns of the risk parity portfolio used for the results of the slide.

Page 18: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

Methodology and Notes

The date range used in the study is June 1990 to March 2012. The Canadian risk parity results combine five assets (Bank of America/Merrill Lynch U.S. High-Yield Master II Constrained Index, Barclays Canadian Treasury Inflation Protected Securities, DEX Government Bonds Index, Canadian low-volatility portfolio, and the FTSE NAREIT Index) in a proprietary framework that weights the five assets each month based on balancing economic risk. The DJ-UBS Commodity Index was not used due to the Canadian stock market’s already significant exposure to commodities. The

Slide 26-27

y y g presulting weights and the returns for each asset combine to determine the monthly returns of the risk parity portfolio used for the results of the slide.

Slide 28For each region, different date ranges were used based on availability of data. Canadian results: the date range used in the study is June 1990 to March 2012. U.S. results: date range is January 1973 to March 2012 . Global results: date range is January 1999 to March 2012. Each region also has different corresponding components. The Canadian results use the TSX Composite, the Canadian low-volatility portfolio described in slide 32, the DEX Universe Bond Index, and the Canadian risk parity portfolio described in slide 36. The U.S. results use the S&P 500, the US low-volatility portfolio described in slide 33, the Barclays U.S. Aggregate Bond Index when data available and then Ibbotson U.S. Immediate Treasuries as a substitute, and the U.S. risk parity portfolio described in slide 34. The global

lt bi t t (B l U S Hi h Yi ld V Li id I d DJUBS d GSCI dit i di U S

For Institutional Use Only35

results combine ten assets (Barclays U.S. High Yield Very Liquid Index, DJUBS and GSCI commodity indices, U.S. Treasury Inflation Protected Securities (TIPS) and Barclays Global TIPS indices, Barclays U.S. Government Bonds Index, Citi Non U.S. World Government Bond Index, JP Morgan EMBI Global Core Index, Barclays Emerging Market Local Currency Government Index, and the global low-volatility portfolio) in a proprietary framework that weights the six assets each month based on balancing economic risk. The resulting weights and the returns for each asset combine to determine the monthly returns of the risk parity portfolio used for the results of the slide.

Important InformationThe business unit of Pyramis Global Advisors (Pyramis) consists of: Pyramis Global Advisors Holdings Corp., a Delaware corporation; Pyramis Global Advisors Trust Company, a non-depository limited purpose trust company (PGATC); Pyramis Global Advisors, LLC, a U.S. registered investment adviser (PGA LLC); Pyramis Global Advisors (Canada) ULC, an Ontario registered investment adviser; Pyramis Global Advisors (UK) Limited, a U.K. registered investment manager (Pyramis-UK); Pyramis Global Advisors (Hong Kong) Limited, a Hong Kong registered investment adviser (Pyramis-HK); Pyramis Distributors Corporation LLC, a U.S. registered broker-dealer; and Fidelity Investments Canada ULC, an Alberta corporation (FIC). Investment services are provided by y ( ) yPGATC, PGA LLC, Pyramis Global Advisors (Canada) ULC, Pyramis-UK and/or Pyramis-HK.

"Fidelity Investments" refers collectively to FMR LLC, a US company, and its subsidiaries, including but not limited to Fidelity Management & Research Company (FMR Co.) and Pyramis. “Fidelity International” refers collectively to FIL Limited, a non-US company, and its subsidiaries. “Fidelity” refers collectively to Pyramis and Fidelity Investments.

Certain data and other information in this presentation have been supplied by outside sources and are believed to be reliable as of the date of this document. Data and information from third-party databases, such as those sponsored by eVestment Alliance and Callan, are self-reported by investment management firms that generally pay a subscription fee to use such databases, and the database sponsors do not guarantee or audit the accuracy, timeliness or completeness of the data and information provided including any rankings. Pyramis has not verified and cannot verify the accuracy of information from outside sources, and potential investors should be aware that such information is subject to change without notice Information is current as of the date noted

36 For Institutional Use Only

such information is subject to change without notice. Information is current as of the date noted.

Pyramis has prepared this presentation for, and only intends to provide it to, institutional, sophisticated and/or qualified investors in one-on-one or comparable presentations. Do not distribute or reproduce this report.

All trademarks and service marks included herein belong to FMR LLC or an affiliate, except third-party trademarks and service marks, which belong to their respective owners. Pyramis does not provide legal or tax advice and we encourage you to consult your own lawyer, accountant or other advisor before making an investment.

Page 19: Low-volatility Equity in Asset Allocation v5...Low-volatility Equity in Asset Allocation Bill Hoyt Head of Quantitat ive Equities and Portfolio Manager DC Investment Forum September

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