Regarding the methodology for separating the investment performance of PE funds into a beta portion (investment performance of traditional assets), which is market performance, and an alpha portion (excess return), we presented it in comparison with the valuation method for interest rate swaps with credit risk in our JMF article dated August 25, 2023, “Spread-Based Direct Alpha (SBDA) as a Performance Measure for PE Funds”. Once we separate the excess return from the benchmark return, we have only to estimate the risk of the excess return, namely tracking error, to evaluate the risk-return efficiency of the PE Fund relative to the benchmark. However, due to the complicated cashflows with capital calls and distributions, it is quite difficult to define and estimate the tracking error of the PE fund being different from the estimation of the tracking errors for the active funds of traditional assets. This study provides the methodology to estimate the tracking error for alternative assets by using the SBDA as a starting point and introducing various new concepts of excess returns. Utilizing the integrated active management, which is available with the estimated tracking error, pension fund managers are able to build the more risk-return (Information Ratio) efficient portfolio incorporating alternative assets in addition to the active funds of traditional assets.
References
[1]
Ogishima, N. and Yamamoto, K. (2003) Domestic Bond Active Management under Low Interest Rates. Securities Analyst Journal, 41, 48-63. (In Japanese)
[2]
Kikukawa, T., Uchiyama, T., Motohiro, M. and Nishiuchi, S. (2017) Performance of Domestic Bond Active Management and Smart β Strategies. Securities Analyst Journal, 55, 69-80. (In Japanese)
[3]
Takehara, H. (2012) Equity Investment: A Reexamination from an Asset Pricing Perspective. Securities Analyst Journal, 50, 22-36. (In Japanese)
[4]
Kubota, K. and Takehara, H. (2007) Reexamination of the Validity of the Fama-French Factor Model. Contemporary Finance, 22, 3-23. (In Japanese)
[5]
Arai, T. and Yamada, H. (2002) Is It Rational to Invest in Actively Managed Funds? Securities Analyst Journal, 40, 74-95. (In Japanese)
[6]
Yamada, S. (2000) Risk Premium of Japanese Government Bonds and Its Application to Investment Strategies. Securities Analyst Journal, 38, 32-62. (In Japanese)
[7]
Takatsu, M. and Yamazaki, M. (2000) A Study of Bond Portfolio Management by Yield Curve Analysis. Securities Analyst Journal, 38, 16-31. (In Japanese)
[8]
Maeda, K. and Koike, T. (2002) On Yield Curve Tactics Using Market Overreaction. Securities Analyst Journal, 40, 125-140. (In Japanese)
[9]
Nakatani, Y. (2010) The Relationship between the Curvature of the Yield Curve and Interest Rate Volatility: Verification by Measuring Butterfly Trade Returns. Securities Analyst Journal, 48, 26-35. (In Japanese)
[10]
Miyazaki, K., Abe, Y. and Shimada, K. (2021) Bond Investment Strategy Based on Factor Analysis: Revisited Application to Carry and Roll-down Strategy in the U.S. Treasury Market. GPIF Working Paper.
[11]
Oharazawa, N. (1991) The Factor Model and Its Application to Active Strategies. Securities Analyst Journal, 29, 36-55. (In Japanese)
[12]
Ito, K., Ikeda, S. and Kido, T. (2009) Investment Style, Liquidity and Active Management. Securities Analyst Journal, 47, 48-60. (In Japanese)
[13]
Komai, H. and Oka, S. (2012) Japanese Equity Active Fund Performance: Diversification and Economies of Scale. Securities Analyst Journal, 50, 38-46. (In Japanese)
[14]
Omori, K. and Yano, M. (2013) Risk-Based Portfolio and Active Management. Securities Analyst Journal, 51, 17-26. (In Japanese)
[15]
Miyai, H., Nakamura, A., Yamaguchi, N., Ishida, H. and Yamada, M. (2005) Roundtable Discussion: Pension Management and Alternative Investments. Securities Analysts Journal, 43, 77-102.(In Japanese)
[16]
Miyazaki, K. and Shimada, K. (2023) Japanese Private Real Estate Models and Portfolio Selection. Journal of Mathematical Finance, 13, 249-270. https://doi.org/10.4236/jmf.2023.133016
[17]
Miyazaki, K. and Shimada, K. (2023) Spread-Based Direct Alpha (SBDA) as a Performance Measure for PE Funds. Journal of Mathematical Finance, 13, 380-393. https://doi.org/10.4236/jmf.2023.133024
[18]
Kasuga, K. (2009) Issues in Credit Management—Necessity of Risk Allocation commensurate with Information Ratio. Securities Analyst Journal, 47, 71-80. (In Japanese)