Skip to main content

Performance Evaluation and Attribution Volume One

Asset Pricing and Models

This Second Edition of Performance Evaluation and Attribution Volume One: Asset Pricing and Models, presents an updated, comprehensive exploration of portfolio performan… Read more

Description

This Second Edition of Performance Evaluation and Attribution Volume One: Asset Pricing and Models, presents an updated, comprehensive exploration of portfolio performance evaluation. Based on the authors’ Performance Evaluation and Attribution of Security Portfolios (2012), this volume of the second edition adds four new chapters and updated content throughout in its practical approach to measuring manager skills and using recent statistical techniques to solve investment problems. Added are new factor models, including the newly developed q-factor model, new examples, and new work on qualitative considerations that can be used in identifying skilled fund managers. This highly detailed new edition combines academic rigor with insights and guidance for real-world applications of diverse approaches to identifying skilled professional portfolio managers

Key features

  • Adds four new chapters; every other chapter has been expanded and updated
  • Adds detailed derivations of the mathematics of mean-variance asset pricing, making the book suitable for an investments course at the Ph.D., Master’s, and (advanced) undergraduate levels
  • Presents new material for target date funds as well as a comprehensive survey of fund ratings services
  • A solutions manual for all chapter-end problems is available from the author: [email protected]

Readership

Upper-division undergraduates, graduate students, and professionals worldwide working in the management of diverse types of financial funds

Table of contents

Preface
CHAPTER 1 An introduction to asset pricing models

1.1 Historical asset pricing models

1.2 The beginning of modern asset pricing models

1.2.1 Markowitz portfolio optimization

1.2.1.1 Portfolio return and risk

1.2.1.2 The optimization problem

1.2.1.3 The Lagrangian formulation

1.2.1.4 The minimum risk hyperbola

1.2.1.5 The global minimum variance
(global minimum risk) portfolio

1.2.1.6 The efficient frontier

1.2.1.7 Efficient portfolios and their zero-correlation
“matching” portfolios

1.2.1.8 Deriving the equation for a tangent
line to the minimum standard
deviation hyperbola

1.2.1.9 Correlation between portfolios

1.3 The Two-Fund theorem

1.4 The CAPM with a riskfree asset

1.5 Sharpe’s capital asset pricing model

1.5.1 Estimating the CAPM model

1.6 Efficient markets

1.7 Studies that attack the CAPM

1.8 Does proving the CAPM wrong=market inefficiency?
or, do efficient markets=the CAPM is correct?

1.9 Small capitalization and value stocks

1.9.1 Momentum stocks

1.10 The asset pricing models of today

1.10.1 Introduction to multifactor models

1.10.2 Multifactor models of stock returns

1.10.2.1 Regression-based models

1.10.3 Multifactor models of bond returns

1.11 The q-factor pricing model

1.11.1 Economic intuition

1.11.1.1 Marginal q and investment

1.11.1.2 Expected stock returns and investment

1.11.1.3 Investment and profitability channels

1.11.2 q-Model factor construction

1.11.3 Operationalizing the q-model

1.12 Summary

1.13 Limitations

1.14 Chapter-end problems

1.15 Appendix: calculus operations using matrix algebra
References
CHAPTER 2 An introduction to returns-based performance
evaluation and potential biases in

its econometric application

2.1 Introduction

2.2 Goals, guidelines, and perils of performance evaluation

2.2.1 Benchmarks

2.2.2 Performance measures

2.2.3 Manipulation-proof performance measures

2.2.4 Type I or Type II error (which would you prefer?)

2.2.5 The confounding role of risk-aversion

2.3 Returns-based performance assessment

2.3.1 Baseline models

2.3.2 Models with timing factors

2.3.3 Return smoothing

2.3.4 Non-normal alphas

2.3.5 Nonstable regression parameters

2.3.6 Unpriced benchmarks

2.3.7 Bayesian methods

2.3.8 Conditional returns-based performance measurement

2.3.9 Stochastic discount factors

2.3.10 False-discovery rate approach to measuring
performance of a group of funds

2.3.11 The frequency of return reporting

2.3.11.1 High-frequency returns data

2.3.11.2 Low-frequency returns data

2.3.12 Overlapping observations corrected standard errors

2.3.12.1 An example using overlapping
quarterly returns

2.5 Chapter-end Problems
References
CHAPTER 3 Returns-based performance measures

3.1 Introduction

3.2 Luck versus skill

3.3 The ultimate goal of performance measures

3.4 Two nonregression approaches

3.4.1 The Sharpe Ratio

3.4.2 Tracking error

3.5 Regression-based performance measures

3.5.1 Single-factor alpha (“Jensen alpha”)

3.5.2 Multiple-factor alpha

3.5.3 Timing and selectivity performance measures

3.5.4 Conditional regression models

3.5.5 The Information Ratio as a performance measure

3.6 Chapter-end problems
References
CHAPTER 4 Portfolio holdings–based performance
evaluation

4.1 Introduction

4.2 Unconditional holdings–based performance measurement

4.2.1 The self-benchmarking method of performance
evaluation

4.2.1.1 Statistical foundations

4.2.1.2 Empirical evidence

4.2.1.3 Relation to the Brinson, Hood, and
Beebower attribution approach

4.2.2 The DGTW method of performance evaluation
for equity portfolios

4.2.2.1 The characteristic selectivity measure

4.2.2.2 The characteristic timing measure

4.2.2.3 The average style measure

4.2.2.4 Summing the components

4.2.2.5 Comparison of DGTW measures with
factor-based regression approaches

4.2.2.6 Extensions

4.2.2.7 Empirical evidence

4.2.2.8 The correlation between performance
measures

4.2.3 The Cici and Gibson method of performance
evaluation for bond portfolios

4.2.4 The Cohen, Coval, and Pastor method of
performance evaluation

4.3 Conditional holdings–based performance measurement

4.3.1 The Ferson-Khang conditional portfolio
holdings approach

4.3.1.1 Description

4.3.1.2 Estimation

4.3.1.3 Empirical evidence

4.4 Chapter-end problems
References
Further reading
CHAPTER 5 Combining portfolio holdings-based and
returns-based performance evaluation
(and the “return gap”)


5.1 Introduction

5.2 Performance decomposition methodology

5.2.1 The characteristic selectivity measure

5.2.1.1 Examples of style drift

5.2.1.2 Benchmarking stocks (computing
abnormal returns)

5.2.1.3 Example of the CS measure for US mutual
funds (a return to our famous managers)

5.2.1.4 Benchmarking bonds (computing abnormal
returns)

5.2.2 The characteristic timing measure

5.2.3 The average style measure

5.2.4 Trade execution costs

5.2.5 Measuring net return selectivity

5.3 Application to US domestic equity mutual funds

5.4 Empirical results for US domestic equity mutual funds

5.4.1 Overall mutual fund returns

5.4.2 Benchmark-adjusted mutual fund returns

5.4.3 The correlation between performance measures

5.4.4 Baseline mutual fund return decomposition

5.4.5 A comparison of the average mutual fund to the
Vanguard Index 500 fund

5.4.6 Do funds that trade more frequently generate
better performance?

5.5 Results for US domestic corporate bond mutual funds

5.6 Appendix A

5.6.1 Description of matching process for LSEG 12
and CRSP mutual fund databases

5.7 Appendix B

5.7.1 Description of execution cost estimation
procedure

5.8 Chapter-end problems
References
Further reading
CHAPTER 6 Fund manager selection using macroeconomic
information


6.1 Introduction

6.2 A dynamic model of managed fund returns

6.2.1 The “Dogmatist”

6.2.2 The “Skeptic”

6.2.3 The “Agnostic”

6.2.4 Optimal portfolios of managed funds

6.3 Empirical example: US domestic equity fund data

6.4 Empirical example: results for US domestic equity funds

6.4.1 Optimal portfolios of equity mutual funds

6.4.2 Out-of-sample performance

6.4.3 The determinants of the superior
predictability-based performance

6.4.3.1 Attributes of portfolio strategies

6.4.3.2 Industry allocation analysis

6.4.3.3 Industry attribution analysis

6.4.4 Survivorship bias

6.5 Chapter-end problems

6.6 Appendix A: Description of mutual fund database
A.1 Investment objectives
A.2 Net returns
A.3 Turnover and expenses
A.4 Flows

6.7 Appendix B: Investments when fund risk loadings
and benchmark returns may be predictable
B.1 Prior beliefs
B.2 The likelihood function
B.3 The predictive moments

6.8 Appendix C: Investments when skills may be predictable
C.1 The Agnostic
C.2 The Skeptic
References
CHAPTER 7 Performance evaluation of market timers:
a new approach


7.1 Introduction

7.2 Methodology

7.2.1 Cashflow and discount rate components
of market returns

7.2.2 Construction of fund beta

7.2.3 A differential return timing measure

7.3 Data and variable construction

7.4 Empirical analysis of timing performance

7.5 Identifying funds with timing skills

7.5.1 Characteristics of funds ranked on past-year
total timing

7.5.2 Timing performance for funds sorted on
past-year total timing

7.5.3 Strategic shifts in fund betas

7.5.4 Other dimensions of fund portfolio performance

7.6 Further characterizing cashflow versus discount rate timing

7.6.1 Industry rotation

7.6.2 Large-cap versus small-cap and value versus
growth mutual funds

7.6.3 Negative discount rate timing and aggregate
fund net flows

7.7 Additional analyses and robustness tests

7.7.1 Initiating buys and terminating sells

7.7.2 Time-varying cash positions

7.7.3 A placebo test using index funds

7.7.4 Using different approaches to decompose the
market return

7.7.5 Timing ability over the business cycle

7.7.6 Other tests

7.8 Chapter-end problems
References
Further reading
CHAPTER 8 Performance evaluation of non-normal portfolios

8.1 Introduction

8.2 Bootstrap evaluation of fund alphas

8.2.1 Rationale for the bootstrap approach

8.2.1.1 Individual mutual fund alphas

8.2.1.2 The cross-section of mutual fund alphas

8.2.2 Implementation example: US domestic equity
mutual funds

8.2.2.1 The baseline bootstrap procedure:
residual resampling

8.2.2.2 Bootstrap extensions

8.3 Data

8.4 Results for US equity funds

8.4.1 The normality of individual fund alphas

8.4.2 Bootstrap analysis of the significance of
alpha outliers

8.4.2.1 Baseline bootstrap tests: residual
resampling

8.5 Sensitivity analysis

8.5.1 Time series dependence

8.5.2 Residual and factor resampling

8.5.3 Cross-sectional bootstrap

8.5.4 Length of data records

8.5.5 Bootstrap tests for stockholdings-based alphas

8.6 Performance persistence

8.7 Chapter-end problems
References
Further reading
CHAPTER 9 Multiple fund performance evaluation:
the false discovery rate approach


9.1 Introduction

9.2 The impact of luck on managed fund performance

9.2.1 Overview of the approach

9.2.1.1 Luck in a multiple fund setting

9.2.1.2 Measuring luck

9.2.1.3 Estimation procedure

9.2.2 Comparison of our approach with existing methods

9.2.3 Cross-sectional dependence among funds

9.3 An empirical example: US domestic equity mutual funds

9.3.1 Asset pricing models

9.3.2 Data

9.4 An empirical example: results for US domestic
equity funds

9.4.1 The impact of luck on long-term performance

9.4.2 The impact of luck on short-term performance

9.4.3 Performance persistence

9.4.4 Additional results

9.4.4.1 Performance measured with pre-expense
returns

9.4.4.2 Performance measured with other asset
pricing models

9.4.4.3 Bayesian interpretation

9.5 Chapter-end problems
References
Further reading
CHAPTER 10 Holding Horizon: a new measure of active
investment management


10.1 Introduction

10.2 Empirical methodology

10.2.1 The measure of holding horizon

10.2.2 Risk models

10.3 Data and summary statistics

10.3.1 Summary statistics

10.3.2 The persistence of fund holding horizon

10.4 Empirical results on fund performance

10.4.1 Fund performance using a sorted portfolio
approach

10.4.2 Fund performance using Fama–MacBeth
regressions

10.4.3 Value added from financial markets

10.5 The horizon–performance relation at the stock level

10.5.1 Informativeness of fund holdings

10.5.2 Economic source

10.6 Comparison of H-H with portfolio turnover

10.7 The demand side

10.8 Additional analyses and robustness tests

10.8.1 Being a new dimension of active fund
management

10.8.2 Illiquidity

10.8.3 Out-of-sample test of H-H’s ex ante predictability

10.8.4 Fund performance conditional on benchmarks

10.8.5 Other tests

10.9 Chapter-end problems

10.10 Appendix
References
CHAPTER 11 Target date funds: an analysis of strategies
and performance


11.1 Introduction

11.2 Related literature

11.3 The evolution of target date funds’ role in US retirement
savings

11.3.1 Description of target date funds

11.3.2 The rise of target date funds to become a
fundamental pillar of US retirement savings

11.4 Heterogeneity across target date fund suites

11.4.1 Variation in glide paths

11.4.1.1 Description and evolution of glide paths

11.4.1.2 To be “to” or to be “through”:
that is the question!

11.4.2 Variation in asset allocations

11.4.3 Glide path design

11.4.4 Variation in the use of tactical asset allocation

11.4.5 Active versus passive underlying funds:
yet another choice to be made

11.4.6 Variation in investment fund structure

11.5 Evaluating the quality of target date fund suites

11.5.1 Overview of the evaluation of investment funds

11.5.2 Complications in evaluating target date funds

11.5.3 Framework for evaluating target date funds

11.5.3.1 Evaluating a target date fund’s investment
objectives and associated profile of risk
and expected returns

11.5.3.2 Evaluating a target date fund manager’s
ability to implement the target date fund’s
investment objectives

11.5.3.3 Do multiple comparisons over multiple
periods

11.5.3.4 Performance attribution to evaluate the
underlying drivers of target date funds
performance

11.5.3.5 Comparison of ex post asset class returns
to ex ante expected returns

11.6 Future Developments in the TDF Marketplace

11.7 Conclusion

11.8 Chapter-end problems
References
CHAPTER 12 Fund rating systems

12.1 Introduction

12.1.1 Ideal properties of a rating system

12.1.2 Objectives of a fund rating system

12.2 Quantitative versus qualitative performance metrics

12.3 Handling historical fund data

12.3.1 Backfilling of returns of liquidated funds and
splicing of returns of merged or acquired funds

12.3.2 Assessment of managed funds in the presence
of overlapping data observations

12.4 The Morningstar rating systems

12.4.1 The style box classification system

12.4.2 The Morningstar Star Rating system

12.4.2.1 Computation of the Morningstar
risk–adjusted return

12.4.2.2 Within-category ranking on the
Morningstar risk–adjusted return

12.4.3 Is the Star Rating system predictive of
risk-adjusted performance?

12.4.4 The Morningstar Analyst Rating system

12.4.4.1 The Morningstar quantitative rating
system and the Morningstar Medalist
Rating system

12.4.5 Are the Morningstar Medalist Ratings predictive
of fund risk–adjusted returns?

12.4.6 The Morningstar Sustainability Rating system

12.5 The Lipper rating systems

12.5.1 The Lipper fund classification system

12.5.2 The Lipper Leader rating system

12.5.3 Is the Lipper Leader rating system predictive
of risk-adjusted performance?

12.6 The Zacks rating system

12.7 Standard and Poor’s rating systems

12.8 Other investment rating services

12.9 Do the fund ratings services conform to the ideals
proposed by peer-reviewed academic literature?

12.10 The future of fund ratings systems

12.11 Chapter-end problems
References
Further reading
CHAPTER 13 Active management in mostly efficient markets:
a survey of the academic literature


13.1 Introduction

13.2 Some caveats

13.3 Does active management add value?

13.4 Active management and “mostly efficient markets”

13.5 Identifying superior active managers

13.5.1 Past performance

13.5.2 Macroeconomic forecasting

13.5.3 Fund/manager characteristics

13.5.4 Portfolio holdings analysis

13.5.4.1 Active share

13.5.4.2 News sensitivity and interpretation

13.5.5 Value added performance

13.5.6 Active risk budgeting

13.6 Conclusions

13.7 Chapter-end problems
References
Further reading

A complete solutions manual for all chapter-end problems in this volume
is available from the author, [email protected]

Product details

About the authors

RW

Russ Wermers

Russ Wermers is the Paul J. Cinquegrana '63 Endowed Chair in Finance and Director of the Center for Financial Policy (CFP) University of Maryland at College Park. His research, published in leading scholarly journals, has developed new approaches to measuring and attributing the performance of mutual funds, pension funds, and private equity funds, which, among other applications, can be used to identify superior active funds. Professor Wermers consults for the asset management industry. He received his Ph.D. from the University of California, Los Angeles, in December 1995.

Affiliations and expertise
Robert H. Smith School of Business, University of Maryland, College Park, MD, USA

BS

Brian Singer

Brian Singer, CFA, is the co-CEO of Wealth Horizons Inc., a private wealth firm founded by seasoned investment professionals. With over four decades of global macro investment experience, he has served on multiple for-profit and not-for-profit boards and previously chaired the Board of Governors of the CFA Institute, the Research Foundation of the CFA Institute, and the CFA Institute Curriculum Committee.

A published author of books, monographs, and articles, Brian has contributed to leading finance journals and is recognized for helping define the practice of macro investing — particularly in the areas of currency management, performance attribution, and risk management. He is a steadfast advocate for free-market solutions to society’s most complex challenges.

He has a lovely wife, Linda, and two wonderful adult children, Margo and Andy.

Affiliations and expertise
Brian Singer, CFA, is the co-CEO of Wealth Horizons Inc

BF

Bernd R. Fischer

Bernd Fischer has occupied various high profile positions including Managing Director of IDS GmbH - Analysis and Reporting Services (a subsidiary of Allianz SE), one of the largest internationally operating providers of operational investment controlling services for institutional investors and asset managers; he was Global Head of Risk Controlling and Compliance in the central business segment Asset Management of Commerzbank AG and was also responsible for the operational Risk and Performance Controlling division of Cominvest GmbH. Between 2000 and 2004, he was a member of the CFA Institute's Investment Council. Since 2020, he has worked as an independent writer, covering political, cultural and economic topics for renowned German journals and blogs.

Affiliations and expertise
Managing Director of IDS GmbH, Analysis and Reporting Services (a subsidiary of Allianz SE), Frankfurt, Germany

View book on ScienceDirect

Read Performance Evaluation and Attribution Volume One on ScienceDirect