Risk Factor Investing - CFA Montreal · Risk Factor Investing ... responsibility of any prospective...
Transcript of Risk Factor Investing - CFA Montreal · Risk Factor Investing ... responsibility of any prospective...
Risk Factor Investing Caisse de Dépôt / CFA Asset Allocation Forum
Mark Carhart, CIO, Kepos Capital LP
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TO THOSE SET FORTH IN THIS DOCUMENT OR THAT IT WILL ACHIEVE ITS INVESTMENT OBJECTIVES IN THE FUTURE.
Disclosures
Challenge:
Allocation
decisions
reflect
unintended
factor
exposures
INTRODUCTION Our Broader Objective is to Build Better Policy Portfolios
Proposed
Solution:
Purposeful
and explicit
allocation to
risk premia
Better
knowledge
of return
sources
Conventional Approach
Capital-Based Allocations
Risk Factor Approach
Multiple Risk Premia within Asset Classes Asset
Classes
Risk
Premia
Themes
2
INTRODUCTION Sources of Excess Returns
Alpha
Alternative Risk Factors
CAPM Beta
We believe a useful conceptual framework for classifying return sources is
a continuum between beta and alpha
Factors in equity portfolios Style Tilts (value, momentum...) Fundamental Indexing Smart Beta
General alternative risk factors Systematic Beta Dynamic Beta Strategy Replication Exotic Beta
Risk parity factors Asset Classes
Example: FX Carry
Example: Renaissance Medallion Fund
Example: Global Equity Risk Premium
3
Risk Factor Investing Outline
1. Defining the Factors
2. Building a Portfolio of Factors
3. Performance in Various Environments
4. Implementation Issues
4
A Taxonomy of Macro Risk Premia
Momentum Asset performance can be persistent
Equities
Equities
Equities
Insurance Risk averse investors pay a premium to insure against extreme events
Equities
Equities
Equities
Income Investor bias results in excess demand for low yield/high volatility assets
Equities
Equities
Equities
Equities
Value Cheap assets tend to outperform expensive assets
Bonds
Currencies
Commodities
RISK
PREMIA
THEME
ASSET CLASS
FACTORS
We believe there are four risk premia themes across the major asset classes.
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Equities
-100 -50 0 50 100
New Zealand
Australia
Norway
Canada
Sweden
United Kingdom
United States
Euro
Japan
Switzerland
ACWI - Hong Kong
ACWI - Japan
ACWI - Eurostoxx 50
ACWI - United Kingdom
ACWI - United States
FX Carry Portfolio
FACTORS Illustration: Building an Equity-Beta-Hedged Risk Factor for Developed FX Carry
Choose a
carry measure
Construct a
dollar-neutral FX
portfolio on
carry rank
Hedge away
ACWI beta using
liquid equity index
futures
-100 -50 0 50 100
New Zealand
Australia
Norway
Canada
Sweden
United Kingdom
United States
Euro
Japan
Switzerland
1 2 3
0.0 1.0 2.0 3.0 4.0
Australia
Canada
Euro
Japan
New Zealand
Norway
Sweden
Switzerland
United Kingdom
United States
MSCI ACWI Hedge 3-Month LIBOR FX Carry Portfolio
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Where Do
Factors
Live?
FACTORS How Do You Know That It’s Truly a Compensated Factor?
Where there is risk transfer or persistent behavioral biases
Theory does not identify the individual factors
Framework
for Factor
Selection
1. Economically intuitive (necessary, but not sufficient)
2. Demonstrated historical premium in excess of global equity beta
3. Institutional liquidity and capacity
4. Empirically robust
Testable on other markets, asset classes, time periods
Holds up when specific time periods and markets are excluded
(jackknifing)
Insensitive to factor definition
The Goal Factors that perform well in the future
7
FACTORS Will These Premia Persist Over Time?
Examples of Out-of-Sample Factor Performance
Value Strategy in US Stocks, 1925-20141
Global Macro Trend-Following Strategy 1800-20122
Cum
ula
tive
Pe
rfo
rman
ce
Cum
ula
tive
Pe
rfo
rman
ce
1 From Davis, James L., Eugene F. Fama and Kenneth R. French. "Characteristics, Covariances and Average Returns: 1929-1997." Journal of Finance 55 (2000): 389-406. The chart shows the return to a value
strategy based on Book/Price employed in US stocks from 1925 to 2014. 2 From Y. Lemperie, C. Deremble, P. Seager, M. Potters, J.P. Bouchaud. “Two Centuries of Trend Following.” Capital Fund Management. April
15, 2014.
8
Fama-French
(1993) original
period
Period
since
financial
futures
existed
Risk Factor Investing Outline
1. Defining the Factors
2. Building a Portfolio of Factors
3. Performance in Various Environments
4. Implementation Issues
9
PORTFOLIO How Should You Allocate Between Risk Factors?
The primary benefit will come from diversified exposures to factors
Equal risk is a reasonable starting point
Strategic tilts away from equal-risk may reflect relative confidence
as well as forecasted correlation
Slow-moving, modest, dynamic reallocations may also be
warranted:
o structural changes can occur
o shocks can ‘spill over’ from one set of markets to another
o valuation matters: risk premia can become relatively
expensive or cheap due to variation in supply and demand
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Forecasting expected factor returns is difficult
You can control the degree of cross-sectional and time-series variation in return forecasts
o It’s not all or none
o Traditional 60/40 asset allocations already reflect a high degree of confidence in forecasts
We propose a Bayesian forecasting approach that weights individual forecasts by their confidence
o The “prior” reflects an equal expected return for all factors
o Both long-term and nearer-term forecasts can be incorporated to build a single overall forecast
PORTFOLIO Forecasting Risk Premia
Prior
Historical Mean
Value
Momentum
Spillover
Strategic
Forecasts
Dynamic
Forecasts
Overall Forecast
-4%
-3%
-2%
-1%
0%
1%
2%
3%
4%
5%
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An
nu
alized
Retu
rn F
ore
cast
Illustration: Simulated Forecasts for FX Carry Factor (at 2% Volatility)1
1The graph shows historic performance of backtested FX carry risk premia that include real-world trading constraints, estimated t-costs and a hedge to the MSCI ACWI. Prospective investors should exercise caution
in using or relying on any hypothetical or backtested results as being indicative of future performance. THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT
HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE
TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF
LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO
REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional
disclosures provided at the end of this presentation.
11
=
Simulated Cumulative Returns (Humbled)
The graph shows historic performance above 1-month US T-bills of backtested risk premia that include real-world trading constraints, estimated t-costs and a hedge to the MSCI ACWI, from January 1990 to June
2014. Prospective investors should exercise caution in using or relying on any hypothetical or backtested results as being indicative of future performance. THESE RESULTS ARE BASED ON SIMULATED OR
HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT
REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF
CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED
WITH THE BENEFIT OF HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN. You are
urged to read all of the additional disclosures provided at the end of this presentation. Please see important disclosures at the end of this presentation that define “humbled.”
PORTFOLIO
Risk Factor Themes and Total Factor Portfolio
Hedged to Equities against MSCI ACWI Adjusted to common volatility level (IR in parentheses)
Key Takeaways
1. Attractive potential returns
2. Low cross-correlation
3. Poor performance
uncorrelated with equities
4. Transparent and low cost
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19
90
19
92
19
94
19
96
19
98
20
00
20
02
20
04
20
06
20
08
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12
20
14
Gro
wth
of
$1
(Lo
g Sc
ale)
Value (IR=0.53)
Income (0.51)
Insurance (0.53)
Momentum (0.50)
TOTAL (1.00)
MSCI ACWI (0.34)
$1
Risk Factor Investing Strategies Have Been Lowly Correlated PORTFOLIO
Statistic Lowest Average Highest
Correlation to MSCI ACWI (0.02) 0.33 0.83
Correlation to Barclays Global Agg Bond Index (0.26) (0.03) 0.23
Correlation to HFRX Composite Index 0.06 0.35 0.81
Average Cross-Correlation (0.07) 0.21 0.62
Alternative Beta Funds1
1 The correlation statistics are estimated using publicly available daily data on mutual funds domiciled in various countries in addition to research from Kepos Capital LP. We believe the products included in this
analysis are representative of risk premia investment products, but the analysis does not include all investable risk premia products. Correlations are estimated over the period April 2012 through June 2015.
13
Risk Factor Investing Outline
1. Defining the Factors
2. Building a Portfolio of Factors
3. Performance in Various Environments
4. Implementation Issues
14
PERFORMANCE Performance in Market States (Humbled)
1990-2014 Risk Factor Theme Sharpe Ratios Conditioned on
Rolling 12-Month ACWI and US 10-Year Treasury Return
15
This slide presents the hypothetical, backtested results of a composite simulated portfolio (as further described on the "Backtest Disclosures" page), which is being provided to share additional color on Kepos’ portfolio
structuring and not as any prediction of future returns or performance. In fact, prospective investors should exercise caution in using or relying on any hypothetical or backtested results as being indicative of future
performance. Please see important disclosures at the end of this presentation that define “humbled backtest.” THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS
THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE
THE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF
LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO
REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional
disclosures provided at the end of this presentation.
Value Value
Income Income
Insurance Insurance
Momentum Momentum
Factor Portfolio 0.27 Factor Portfolio 0.66
Value Value
Income Income
Insurance Insurance
Momentum Momentum
Factor Portfolio 0.96 Factor Portfolio 0.96
Bonds
Underperform
Bonds
Outperform
Equities
Underperform
Equities
Outperform
PERFORMANCE Difficult Periods in Risk Factors
This slide presents the hypothetical, backtested results of a composite simulated portfolio (as further described on the "Backtest Disclosures" page), which is being provided to share additional color on Kepos’ portfolio
structuring and not as any prediction of future returns or performance. In fact, prospective investors should exercise caution in using or relying on any hypothetical or backtested results as being indicative of future
performance. THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN
ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE
UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL
ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE
PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional disclosures provided at the end of this presentation.
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
91
Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
10
Sep
-13
Commodities - Relative Momentum
Can they have bad drawdowns? , but no worse than equity drawdowns …
MSCI ACWI
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
91
Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
10
Sep
-13
Commodities - Relative Backwardation
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
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Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
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Sep
-13
Global Equities - Book to Price
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
91
Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
10
Sep
-13
Global Equities - Low Volatility
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
91
Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
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Sep
-13
Global Bonds - Directional Global Yields
-0.6
-0.5
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-0.2
-0.1
0.0
Jan
-82
Mar
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May
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Jul-
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Sep
-94
No
v-97
Jan
-01
Mar
-04
May
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Jul-
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Sep
-13
Global Bonds - Relative Yield
-0.6
-0.5
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-0.1
0.0
Jan
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Mar
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May
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Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
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Sep
-13
Currencies - Developed Currency Carry
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
91
Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
10
Sep
-13
Currencies - Relative PPP
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
Jan
-82
Mar
-85
May
-88
Jul-
91
Sep
-94
No
v-97
Jan
-01
Mar
-04
May
-07
Jul-
10
Sep
-13
Volatility - Realized Volatility
Yes
Risk Factor Strategy
16
All Returns Standardized to 10% Volatility
Source for all data on this slide: Robert J. Shiller’s online library with data used in Irrational Exuberance, Princeton University Press, 2015. http://www.econ.yale.edu/~shiller/data.htm. Monthly data is presented from
January 1926 through June 2015 unless otherwise noted. 1 Monthly data from January 1926 through May 2015 is used.
Current Investment Environment PERFORMANCE
US Equity Shiller P/E Levels US 10 Year Bond Yields
Realized Real Returns of S&P vs. Shiller P/E1
0
5
10
15
20
25
30
35
40
45
50
192
6
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4
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2
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0
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8
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4
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2
199
0
199
8
200
6
201
4
P/E
Ratio
Avg Q2 P/E: 27
(92nd
Percentile) 0%
2%
4%
6%
8%
10%
12%
14%
16%
18%
192
6
193
4
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2
195
0
195
8
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6
197
4
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2
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200
6
201
4
Yie
ld
Avg Q2 Yield:
2.2%
(4th Percentile)
2015 YTD Avg: 3.0%
0%
2%
4%
6%
8%
10%
12%
14%
192
6
193
4
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2
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8
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6
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4
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2
199
0
199
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200
6
201
4
Retu
rns
Average
Forecast
Real Return:
5.6%
Expected Real Return of U.S. 60/40 Portfolio
4.5%
-3.4% -4.0% -5%
-4%
-3%
-2%
-1%
0%
1%
2%
3%
4%
5%
1
Retu
rns
P/E Below 90th Percentile P/E Above 90th Percentile
P/E Above 95th Percentile
Average 5-Year Annual Return
17
0%
25%
50%
75%
100%
1985 1988 1991 1994 1997 2000 2003 2006 2009 2012 2015
Th
em
e P
erc
en
tile
Ra
nkin
g
Value Income Insurance Momentum
Risk Factor Valuations
1 This table presents the attractiveness of each of the 16 Exotic Beta premia types as of June 30, 2015. Gross performance for June 2015 is compared to monthly historical performance since 1985 by calculating the
percentile ranking. Backtested performance is used. 2 This chart shows a 12 month rolling average of the average monthly percent rank of performance by Exotic Beta theme through June 2015. This slide presents
the hypothetical, backtested results of a composite simulated portfolio (as further described on the "Backtest Disclosures" page), which is being provided to share additional color on Kepos’ portfolio structuring and not
as any prediction of future returns or performance. In fact, prospective investors should exercise caution in using or relying on any hypothetical or backtested results as being indicative of future performance. THESE
RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN ACTUAL PERFORMANCE
RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE UNDER- OR OVER-
COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT
TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR LOSSES
SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional disclosures provided at the end of this presentation.
PERFORMANCE
Risk Factor Attractiveness, in Percentiles of Valuation Relative to History1
Historical Attractiveness of Risk Factor Themes2
Equity Indices Bonds Currencies Commodities
Value 31% 10% 4% 43%
Income 11% 9% 36% 15%
Insurance 45% 31% 50% 50%
Momentum 42% 98% 29% 45%
18
-2.0
-1.5
-1.0
-0.5
0.0
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1.0
1.5
2.0
0%
5%
10%
15%
20%
Ap
r-12
Jul-
12
Oct-
12
Jan
-13
Ap
r-13
Jul-
13
Oct-
13
Jan
-14
Ap
r-14
Jul-
14
Oct-
14
Jan
-15
Ap
r-15
KEB Risk Forecast General Spillover Model
Kepos Exotic Beta Risk Experience
1 Our proprietary spillover models are forward-looking measures of the market environment and are z-scores with a mean of 0 and a standard deviation of 1. The General Spillover Model is designed to capture broad
market disruption. A positive level indicates that markets are more disrupted and therefore it is more likely for stress in one area to spill over into another. In the above chart, we show a 21-day moving average for the
ex-ante risk. Data is presented from April 4, 2012 through June 30, 2015. 2 Risk Allocation represents the volatility in each theme divided by the sum of volatilities across all themes using the same risk forecasts from
RiskMetrics. Current risk allocation is as of June 30, 2015.
PERFORMANCE
Daily Risk Forecasts and Spillover Model1
Spill
over
Level
Ex-A
nte
Ris
k
Current Risk Allocation2
Value
Income
19
Value
Currencies
Equity
Indices
Insurance
Momentum
Bonds Income
Commodities
Risk Factor Investing Outline
1. Defining the Factors
2. Building a Portfolio of Factors
3. Performance in Various Environments
4. Implementation Issues
20
IMPLEMENTATION Impact in Institutional Portfolios
Representative 60 / 40 portfolio With 25% of capital reallocated from
equities to a risk factor portfolio
Total Portfolio Risk1
The typical institutional portfolio is dominated by equity risk –
portfolio can help to reduce the imbalance…
an allocation to a risk factor
Equity, 90%
Fixed Income, 10%
Equity, 72%
Fixed Income, 25% Risk Factor Portfolio, 3%
21
The representative 60/40 portfolio is calculated as a weighted sum of equities (MSCI World USD Net Index is used from January 1990 through May 1994. MSCI ACWI IMI Net Total Return Index (USD) is used
thereafter) and bonds (Barclays Global Aggregate). 1 These charts show the marginal contribution to risk (“MCR”) of each portfolio component. The MCR represents the percentage of overall portfolio risk attributable
to each underlying component and is calculated as the variance attributable to each component (including covariances with other components) divided by the total variance in the portfolio. Mathematically, the MCR for
a given component “i” can be represented as: MCR(i) = { sum over j=1 to N [std(i) * corr(i,j) * std(j)] } / var(p) where N is the number of underlying components, std(i) is the standard deviation of component i, corr(i,j) is
the correlation between component i and component j, and var(p) is the variance of the portfolio. The standard deviation of each component is calculated over the period January 1990 through December 2014. Note
that the representative risk factor portfolio uses humbled backtested returns. Please see important disclosures at the end of this presentation that define “humbled.” Prospective investors should exercise caution in
using or relying on any hypothetical or backtested results as being indicative of future performance. THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE
CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE
TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF
LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO
REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional
disclosures provided at the end of this presentation.
Volatility: 9.87%
Volatility: 7.31%
IMPLEMENTATION Impact in Institutional Portfolios (continued)
… while enhancing returns and reducing overall portfolio risk
Average Excess Return 6.99% 7.50% +0.52%
Volatility 9.87% 7.31% -2.56%
IR 0.71 1.03 +0.32
Representative
Portfolio (60 / 40)
Rep. Portfolio + 25% Risk Factors
Performance Impact
22
THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN ACTUAL
PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE UNDER- OR
OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO
SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR
LOSSES SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional disclosures provided at the end of this presentation. Representative 60/40 portfolio is calculated as a weighted sum of
equities (MSCI World USD Net Index is used from January 1990-May 1994. MSCI ACWI IMI Net Total Return Index (USD) is used from thereafter) and bonds (Barclays Global Aggregate).
1990
1992
19
94
1996
1998
2000
2002
2004
2006
2008
2010
20
12
2014
Gro
wth
of $1 (
log S
cale
)
Representative Portfolio (60/40)
Representative Portfolio with 25%allocated to risk factors (from equities)
$1
IMPLEMENTATION Implementation Issues
We are awash in a zoo of proposed factors
A framework is critical
Stories are great, but statistical robustness is even better
To hedge or not to hedge?
Factor Selection
Sizing and Location
Where does this fit in my portfolio?
How much risk should I budget?
How should we benchmark this?
Sourcing Bank products or external managers?
Other
How should investors use their limited capital efficiently?
How much leverage and risk is appropriate?
How much liquidity and transparency do you need?
Will investment committees maintain conviction when the strategy underperforms equities?
23
APPENDIX A Backtest Returns During Stress Periods (Humbled)
* Catastrophe Bond Exotic Risk Premia not available during this period. This slide presents the hypothetical, backtested results of a composite simulated portfolio (as further described on the "Backtest Disclosures"
page), which is being provided to share additional color on Kepos’ portfolio structuring and not as any prediction of future returns or performance. In fact, prospective investors should exercise caution in using or
relying on any hypothetical or backtested results as being indicative of future performance. Please see important disclosures at the end of this presentation that define “humbled backtest” in addition to the indices
used above. THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS SHOWN IN AN
ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE TRADES HAVE NOT ACTUALLY BEEN EXECUTED, THE RESULTS MAY HAVE
UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL
ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE
PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN. You are urged to read all of the additional disclosures provided at the end of this presentation.
25
ACWI and Risk-Factor Total Returns Standardized to 10% Volatility
Is Risk-Factor Investing Becoming Crowded? APPENDIX A
HFRI Hedge Fund Index Risk Decomposition
Although the hedge fund industry has grown in size and complexity, they seem to be
decreasing their exposure to macro factors.
This slide presents the variance decomposition of 5-year rolling monthly returns on the HFRI Hedge Fund Index. The values on each date refer to the end of each 5-year period. Variance components are derived from
simple OLS linear regressions of HFRI on the return on ACWI and ACWI lagged one month (termed “equity beta”), and separately on the returns on ACWI, lagged ACWI and all of the Kepos exotic beta factors. The
variance from “macro factors” is the difference in variance explained in these two regressions. The variance from alpha is 1 minus the variance explained by the second regression.
26
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
20
00
20
01
20
02
20
03
20
04
20
05
20
06
20
07
20
08
20
09
20
10
20
11
20
12
20
13
20
14
Alpha
Macro Factors
Equity Beta
Equity Factors
How Might We Measure Crowding?
0.00
0.20
0.40
0.60
0.80
1.00
1.20
1.40
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Rat
io o
f IR
to
Inst
anta
ne
ou
s IR
Implementation Delay (days)
IR Implementation Decay on Equity Index Relative D/P
1985 - 1995
1995 - 2005
2005 - Present
APPENDIX A
This slide presents the realized information ratios (gross of transaction costs)—for various time periods—for the equity index dividend-price-ratio relative-value exotic beta factor on each day following initial factor
formation. It is intended to show how quickly the information of the dividend-price ratio is reflected in relative global equity index pricing.
27
Equity Indices
Bonds
Currencies
Commodities
Value
Income
Insurance
Momentum
Kepos Exotic Betas
B/P, E/P, CF/P
Market Segmentation
Low Volatility
Relative Term Premia
Relative Yield
Mean Reversion
Currency Value
Mean Reversion
Commercial Hedging
Pressure
Mean Reversion
D/P
REITS, Utilities
Dividend Futures
Inflation Risk
Term Premium
Developed Carry
Emerging Carry
Directional Futures
Commodity
Backwardation
Volatility Gamma
Volatility Vega
Catastrophe Risk
Credit Default Risk Volatility Gamma
Seasonal Calendar
Spreads
Momentum Momentum Momentum Momentum
Relative Seasonality
At Kepos, we currently implement about 30 exotic beta factors across all major asset classes and
risk premia types.
29
APPENDIX B
In connection with any consideration of an investment in the Fund, prospective investors should be aware of a number of additional general and specific risks (many of which are
described in the Fund's private placement memorandum and Kepos Capital’s Form ADV), including the following:
Conflicts of Interest. The investment manager will be subject to a number of conflicts of interest from time to time, some of which are described in the Fund's private placement
memorandum.
Financing Arrangements. The use of leverage is integral to many of the Fund's strategies, and the Fund depends on the availability of credit in order to finance its portfolio. The purchase
of options, futures, forward contracts, repurchase agreements, reverse repurchase agreements and equity swaps generally involves little or no margin deposit and, therefore, provides
substantial leverage. Accordingly, relatively small price movements in these financial instruments may result in immediate and substantial losses to the Fund.
Model and Data Risk. Given the complexity of the investments and strategies we manage, we must rely heavily on quantitative models (both proprietary models developed by our
personnel, and those supplied by third parties) and information and data supplied by third parties. When these models and data prove to be incorrect, misleading or incomplete, any
decisions made in reliance on them expose investors to potential risks. Also, the research and modeling process we engage in is extremely complex and involves financial, economic,
econometric and statistical theories, research and modeling; the results of that process must then be translated into computer code. Although we seek to hire individuals skilled in each of
these functions and endeavor to provide appropriate levels of oversight, this complexity raises the chances that the finished model may contain one or more errors that could adversely
affect performance.
Obsolescence Risk. We are unlikely to be successful in managing client accounts unless the assumptions underlying our models are realistic and either remain realistic and relevant in the
future or are adjusted to account for changes in the overall market environment. If such assumptions are inaccurate or become inaccurate and are not promptly adjusted, it is likely that
profitable trading signals will not be generated.
Crowding/Convergence. There is significant competition among quantitatively-focused managers, and our ability to deliver returns for investors that have a low correlation with global
aggregate equity markets and other hedge funds is dependent on our ability to employ models that are simultaneously profitable and differentiated from those employed by other
managers. To the extent that we are not able to develop sufficiently differentiated models, investors' investment objectives may not be met, irrespective of whether the models are
profitable in an absolute sense.
Market Indices Used in Presentation:
MSCI ACWI is an index designed to measure the broad equity market performance of developed and emerging markets.
Barclays Global Aggregate provides a broad-based measure of the global investment grade fixed-rate debt markets.
Bloomberg Commodities Index is a broadly diversified index that allows investors to track commodity futures through a single, simple measure; it is composed of futures contracts on
physical commodities.
VIX is a measure of market expectations of near-term volatility conveyed by S&P 500 stock index option prices.
Hedge Fund Indices Used in Presentation:
HFRX Global Hedge Fund Index is designed to be representative of the overall composition of the hedge fund universe; it is comprised of all eligible hedge fund strategies, including but
not limited to convertible arbitrage, distressed securities, equity hedge, equity market neutral, event driven, macro, merger arbitrage and relative value arbitrage; index includes
performance net of fees.
HFRI Global Fund Weighted Composite Index is an equal-weighted index of over 2,000 single-manager funds with at least $50 million under management or a 12-month track record.
Barclays XARP seeks diversified exposure to a variety of risk premia that span a range of asset classes and investment styles.
AQR Delta Fund provides exposure to a portfolio containing a diversified group of hedge fund risk premia constructed based on capturing the systematic components of dynamic trading
strategies traditionally pursued by hedge funds.
References to indices, benchmarks or other measures of relative market performance over a specified period of time are provided for your information only and do not imply that the actual
Fund portfolio will achieve similar results. The index composition does not reflect the manner in which a portfolio is constructed; unlike these indices and benchmarks, the Fund's portfolio
may contain options (including covered and uncovered puts and calls) and other derivative securities, futures and other commodity interests and currencies, and may include short sales of
securities, margin trading, securities of smaller capitalization companies and types of securities that are different than those reflected in these indices and benchmarks, and is not as
diversified as these indices and benchmarks. While an adviser seeks to design a portfolio which reflects appropriate risk and return features, portfolio characteristics may deviate from
those of the benchmark. Indices are unmanaged and investors cannot invest directly in most indices. The figures for the indices may reflect the reinvestment of dividends but do not
reflect the deduction of any fees or expenses which would reduce returns.
Disclosures and Additional Notes
Backtest Disclosures
To the extent simulations, hypothetical returns and/or backtests were used to prepare this presentation:
THESE RESULTS ARE BASED ON SIMULATED OR HYPOTHETICAL PERFORMANCE RESULTS THAT HAVE CERTAIN INHERENT LIMITATIONS. UNLIKE THE RESULTS
SHOWN IN AN ACTUAL PERFORMANCE RECORD, THESE RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, BECAUSE THE TRADES HAVE NOT ACTUALLY BEEN
EXECUTED, THE RESULTS MAY HAVE UNDER- OR OVER-COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY.
SIMULATED OR HYPOTHETICAL TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF
HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFITS OR LOSSES SIMILAR TO THESE BEING SHOWN.
How the Simulations were Compiled:
• Multiple Concurrent Models. For the exotic beta strategy, we employed many trading models that we utilize in a product offering. The models were used to construct the individual
exotic betas. Further, a model was employed that varied, based on systematic criteria, the amount of risk allocated to each exotic beta throughout the simulation.
• Hypothetical Returns. The results presented were achieved by retroactively applying the trading models to market data for various time periods, depending on a discretionary decision
by us as to the reliability of the market data for use in backtesting for each strategy. The inception dates for each strategy may differ based on availability of data. The inception dates
are: Jan-03 for catastrophe bonds; Jan-90 for commodities, equities, fixed income, currencies and real assets; Oct-93 for indexed credit; and Sep-98 for volatility markets.
• Calculation of Returns. Returns are based on excess return above the respective financing rate that would have been experienced by the applicable tradable instrument utilized,
inclusive of mark to market gains and losses and all cash flows (including cash flows that were related to dividends or other distributions) that would have been realized. The simulated
performance is presented gross of any management and incentive fees but net of estimated transaction costs.
• Transaction Costs Estimate. Transaction costs are imputed in all values presented and are calculated through the application of an overall algorithm for each strategy created using
historical data for the entire period surveyed that computes – for each given hypothetical transaction – a bid/ask spread and expected market impact for such transaction, which may
not equal the actual spread and market impact that would have applied in any given case.
• Sizing Individual Exotic Betas to Form the Exotic Beta Strategy. The amount of risk allocated to individual exotic betas has varied throughout the simulation. The target risk allocated to
each exotic beta was determined frequently (e.g., monthly) during the time span of the applicable simulation using only backward-looking information from a variety of sources,
including strategy backtests, prior beliefs, expected diversification benefits, and forecasts of relative attractiveness.
• Other Constraints. The simulated underlying portfolios may also include a number of additional constraints. These were imposed at the discretion of Kepos personnel and are meant to
represent (but may not accurately forecast) what may happen in actual trading, e.g., volume limitations in certain securities. For any portfolio/strategy that you consider to be material
or of interest, we can provide additional information on any such constraints.
Humbled returns are total discounted backtested returns estimated by applying a constant haircut to the total returns of the original undiscounted backtested returns. This haircut is
attributed to the underlying asset classes/strategies in proportion to their average contribution to the original undiscounted backtest. The haircut used in this simulation corresponds to a
two-thirds discount on the average gross return of each exotic beta’s original backtest. By shrinking the simulated returns by a fraction of the gross simulated return, estimated transaction
costs are not discounted.
Backtest Disclosures
Certain Limitations and Shortcomings that Prospective Investors Should Carefully Consider:
• Different Criteria for Backtesting. The backtesting approaches, data sets, and time periods may not be consistent from model to model. For each portfolio/strategy that you consider to
be material or of interest, we can provide additional information on any such criteria.
• Presentation of Gross Performance Figures. The simulated performance is presented gross of any management and incentive fees.
• Not a Proxy for Prior Portfolios Managed. Prospective investors should not misinterpret the hypothetical results presented as being a proxy for any portfolio that was previously
managed by any Kepos personnel. This means that any positive performance in any such prior portfolio should not be seen as validating the simulated portfolio. In addition,
prospective investors should understand that the strategy differs markedly from the funds previously co-managed by Mr. Carhart and other Kepos personnel.
• Individual Model Behavior May Diverge. In actual trading, the performance of different models may diverge, leading to a situation where the gains in one model are erased by the
losses in another, and potentially at a higher frequency than occurred in the simulation. In the simulation, in general, most of the models are profitable at any given point in time, which
may not be the case in actual trading.
• Investment Process. Investors should understand that every aspect of the investment process should be viewed as being in a state of constant refinement and innovation (even after
the inception of trading) and therefore subject to change. Such changes could include, but are not limited to, addition and removal of underlying models, factors, data or other related
estimates.
• Textual Statements to be read as Aspirational or Forward-Looking. Textual statements regarding the portfolios/strategies may be in the present tense or otherwise be declarative
statements, but all such statements should be understood to be anticipatory, aspirational, or forward-looking statements and no guarantee of future performance is implicated thereby.
• Assumption of no Interim Adjustments; Outperformance of Simulation in Market Crises. Were Kepos’ management actually managing a portfolio for the period indicated, active risk
management, which will involve a number of personnel, would have been employed and therefore interim decisions to adjust weightings or to modify models would have changed the
portfolio’s interim and aggregate performance measures and there can be no certainty that such changes would not have resulted in losses. For example, these models span periods
of extreme market dislocation, including the 2007 liquidity crisis and the 2008 failure of Lehman Brothers, and demonstrate outperformance in these periods; in actual trading,
scenarios such as these would likely be accompanied by manager intervention and there is no guarantee that such interventions would not result in losses.
• We May Employ Additional or Substitute Models. In actual trading, we may employ additional models not included in the simulation, the impact of which could adversely affect actual
performance or otherwise diverge from the backtested models presented here.
Additional Disclosures and Disclaimers Regarding Simulated Performance that Prospective Investors Should Read and Understand:
• Simulations may not be Indicative of Future Performance. One danger of relying on a simulated portfolio is that the simulation may produce positive results over the backtested period,
but that future application of the models employed may result in losses. In a number of cases, quantitative managers have produced impressive backtests only to see substantial
losses in actual trading.
• Certain Metrics may not be Indicative of Future Portfolio Characteristics. Metrics of performance for the hypothetical portfolio including, but not limited to, the Sharpe Ratio and
correlation coefficients have been inferred or calculated from the simulation and are therefore hypothetical and not necessarily indicative of future model behavior, which may differ
significantly.
• No Representation as to Actual Performance. No representation is made as to the accuracy, completeness, or effectiveness of the models or the composite simulated portfolio, nor to
the results of running such models under actual trading conditions.
In connection with any consideration of an investment in the Fund, prospective investors should be aware of a number of additional general and specific risks (many of which are
described in the Fund's private placement memorandum and Kepos Capital's Form ADV).