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Small Sample Analysis of Performance Measures in the Asymmetric Response Model

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  • Pedersen, Christian S.
  • Satchell, Stephen E.

Abstract

This paper reviews and extends definitions and properties of the three classical performance statistics (the Sharpe Ratio, the Treynor Index, and Jensen's Alpha) by locating them in a more general framework: the Asymmetric Response Mode. This allows various notions of beta, which can be related to downside risk, to be employed, and includes, as special cases, a market timing model and the mean-variance CAPM. Due to the general lack of data on fund performance in practice, our emphasis is on small sample analysis where possible. We illustrate our results empirically using data on 15 U.S.-based emerging markets investment funds.

Suggested Citation

  • Pedersen, Christian S. & Satchell, Stephen E., 2000. "Small Sample Analysis of Performance Measures in the Asymmetric Response Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(3), pages 425-450, September.
    • Handle: RePEc:cup:jfinqa:v:35:y:2000:i:03:p:425-450_00
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    Cited by:

    1. Flôres Junior, Renato Galvão & Athayde, Gustavo M. de, 2002. "On certain geometric aspects of portfolio optimisation with higher moments," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 453, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    2. Herv¨¦ Ndoume Essingone & Mouhamadou Saliou Diallo, 2019. "Risk and Return: The Case of Securities Listed on the West African Economic and Monetary Union Regional Exchange of Securities (BRVM)," Applied Economics and Finance, Redfame publishing, vol. 6(1), pages 97-108, January.
    3. Richard A. Michelfelder, 2015. "Electric utility regulation and investment in green energy resources," Journal of Sustainable Finance & Investment, Taylor & Francis Journals, vol. 5(1-2), pages 48-64, April.
    4. Cumova, Denisa & Nawrocki, David, 2014. "Portfolio optimization in an upside potential and downside risk framework," Journal of Economics and Business, Elsevier, vol. 71(C), pages 68-89.
    5. Dimitrios V Kousenidis & Christos Negakis, 2013. "The Underperformance of Young Closed-End Funds in Greece," Multinational Finance Journal, Multinational Finance Journal, vol. 17(1-2), pages 107-148, March - J.

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