Abstract
In this chapter, we address the following questions. Which benchmark should be used to assess the performance of active managers? How can we measure the risk-adjusted performance of portfolio managers? Finally, how do we measure how an active manager achieved a given return?
“There are 3 types of accountant—those that can count and those that can’t.”
—Anon
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
Meaning that they offer the highest expected return for any level of risk. See further the Appendix to the book.
- 3.
See further http://us.spindices.com/indices/equity/sp-500
- 4.
Robert Arnott’s riposte to this has been that while this would apply if the entire investment universe switched to fundamentally based indices, vast sums of money would have to move in that direction first. See further Arnott (2006).
- 5.
- 6.
Soe and Dash (2009) and Brzenk and Soe (2015) estimate that approximately half of the excess return of the S&P 600 over the Russell 2000 is due to recomposition effects of the Russell 2000 (“July Effect”), as outperforming small-caps are promoted to the Russell 1000 from the Russell 2000, while under-performing stocks are moved from the Russell 1000 to the Russell 2000. Chen et al. (2006) examines the impact of changes in index compositions for investors.
- 7.
- 8.
- 9.
All of this is related to the question of active risk vs. policy risk which we will discuss in the following chapter.
- 10.
- 11.
The Appendix to the book gives a brief review of the CAPM.
- 12.
See Roll (1978).
- 13.
Implicitly, the risk-free rate is the benchmark in the SR.
- 14.
We will return to this question in our discussion in Chap. 5.
- 15.
- 16.
We will look at this in greater depth in Chap. 9.
- 17.
More on this in Chap. 9.
- 18.
- 19.
Strictly speaking, we should refer to the outperformance as percentage points rather than %. Our manager has delivered an outperformance of 2.3% measured on the basis of the initial capital invested. But she has only outperformed the benchmark by ((1.18/1.157)−1) × 100 = 1.989%. We’ll use % in the following for ease of exposition.
- 20.
As far as she is concerned, \( {r}_i^p \) is an unbiased estimator of \( {r}_i^b. \)
References
Amene, Noël, and Veronique Lesourd. 2003. “Portfolio Theory and Performance Analysis”, Hoboken, NJ: John Wiley & Sons.
Arnott, Robert D., Jason Hsu, and Philip Moore. 2005. “Fundamental Indexation”, Financial Analysts Journal, March/April, 61(2), 83–99.
Arnott, Robert D. 2006. “An Overwrought Orthodoxy”, Institutional Investor, 18 December, 36–41.
Bailey, J. V., T. M. Richards, and D. E. Tierney. 1990. “Benchmarks, Portfolios and the Manager/Plan Sponsor Relationship”, in Current Topics in Investment Management, ed. Frank J. Fabozzi and T. Dessa Fabozzi, 349–363. New York: Harper Collins.
Bailey, J. V. 1992. “Are Manager Universes Acceptable Performance Benchmarks?”, Journal of Portfolio Management, Spring, 9–13.
Bailey, Jeffery V., Thomas M. Richards, and David E. Tierney. 2007. “Evaluating Portfolio Performance”, in Managing Investment Portfolios: A Dynamic Approach, 3rd edition, ed. John Maginn, Donald Tuttle, Dennis McLeavey and Jerald Pinto. Hoboken, NJ: John Wiley & Sons.
Brzenk, Phillip, and Aye Soe. 2015. “A Tale of Two Benchmarks: Five Years Later”, S&P Dow Jones Indices, March.
Brinson, Gary P., and Nimrod Fachler. 1985. “Measuring Non-US Equity Portfolio Performance”, Journal of Portfolio Management, Spring, 73–76.
Brinson, Gary P., L. Randolph Hood, and Gilbert L. Beebower. 1986. “Determinants of Portfolio Performance”, Financial Analysts Journal, July/August, 42(4), 39–44.
Chen, Honghui, Greg Noronha, and Vijay Singal. 2006. “Index Changes and Losses to Investors in S&P 500 and Russell 2000 Index Funds”, Financial Analysts Journal, July/August.
Christopherson, J. A. 1998. “Normal Portfolios: Construction of Customized Benchmarks”, in Active Equity Portfolio Management, ed. F. J. Fabozzi. Frank J. Fabozzi Associates.
Feibel, Bruce J. 2003. “Investment Performance Analysis”. Hoboken, NJ: John Wiley & Sons.
Jensen, Michael. 1968. “The Performance of Mutual Funds in the Period 1945–1964”, Journal of Finance, 23(2), 389–416.
Kaplan, Paul D. 2008. “Why Fundamental Indexation Might—or Might Not—Work”, Financial Analysts Journal, January/February, 64(1), 32–39.
Kritzman, Mark. 1987. “How to Build a Normal Portfolio in Three Easy Steps”, The Journal of Portfolio Management, Summer, 13(21–23).
Kuenzi, David E. 2008. “Strategy Benchmarks”, Journal of Portfolio Management, 29(2), 46–56.
Lo, Andrew W. 2016. “What Is an Index?”, The Journal of Portfolio Management, 42(2), 21–36.
Modigliani, Franco, and Leah Modigliani. 1997. “Risk-Adjusted Performance”, Journal of Portfolio Management, Winter, 23(2), 45–54.
Perold, André F. 2007. “Fundamentally Flawed Indexing”, Financial Analysts Journal, November/December, 63(6), 31–37.
Roll, R. 1977. “A Critique of the Asset Pricing Theory’s Tests”, Journal of Financial Economics, March, 4(2), 129–176.
Roll, Richard. 1978. “Ambiguity When Performance Is Measured by the Securities Market Line”, Journal of Finance, September, 33(4), 1051–1069.
Shankar, S. Gowri. 2007. “Active Versus Passive Index Management: A Performance Comparison of the S&P and the Russell Indexes”, The Journal of Investing, 16-2, 85–95.
Sharpe, William F. 1966. “Mutual Fund Performance”, Journal of Business, January, 39, 119–38.
Sharpe, William. 1988. “Determining a Fund’s Effective Asset Mix”, Investment Management Review, 2(6), 59–69.
Sharpe, William. 1992. “Asset Allocation, Management Style and Performance Measurement”, Journal of Portfolio Management, 18(2), 7–19.
Sharpe, William F. 1994. “The Sharpe Ratio”, The Journal of Portfolio Management, 21(1), 49–58.
Siegel, Jeremy. 2006. “The Noisy Market’ Hypothesis”, Wall Street Journal, June 14.
Soe, Aye, and Srikant Dash. 2009. “A Tale of Two Benchmarks”. Standard & Poor’s Occasional Paper, June.
Treynor, J. L. 1965. “How to Rate the Performance of Mutual Funds”, Harvard Business Review, January/February, 43, 63–75.
Treynor, J. L., and F. Black. 1973. “How to Use Security Analysis to Improve Portfolio Selection”, Journal of Business, January, 66–88.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 The Author(s)
About this chapter
Cite this chapter
Lumholdt, H. (2018). Performance Evaluation. In: Strategic and Tactical Asset Allocation. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-319-89554-3_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-89554-3_2
Published:
Publisher Name: Palgrave Macmillan, Cham
Print ISBN: 978-3-319-89553-6
Online ISBN: 978-3-319-89554-3
eBook Packages: Economics and FinanceEconomics and Finance (R0)