scholarly journals Spanning Tests for Assets with Option-Like Payoffs: The Case of Hedge Funds

2020 ◽  
Vol 66 (12) ◽  
pp. 5969-5989 ◽  
Author(s):  
Paul Karehnke ◽  
Frans de Roon

We draw on the skewness literature to propose regression-based performance evaluation tests designed for investments with option-like returns. These tests deliver conclusions valid for all risk-averse mean-variance-skewness investors and can better account for nonlinearities in returns than option-based factor models. Applied to mutual and hedge funds, our tests usually suggest selecting different funds than standard tests and find that a significant fraction (11%) of hedge funds adds value to investors, whereas this is an insignificant 4% for mutual funds. We also analyze the economic significance of these option-like returns and their out-of-sample persistence. This paper was accepted by Tyler Shumway, finance.

Author(s):  
Kerry E. Back

The CAPM and factor models in general are explained. Factors can be replaced by the returns or excess returns that are maximally correlated (the projections of the factors). A factor model is equivalent to an affine representation of an SDF and to spanning a return on the mean‐variance frontier. The use of alphas for performance evaluation is explained. Statistical factor models are defined as models in which factors explain the covariance matrix of returns. A proof is given of the Arbitrage Pricing Theory, which states that statistical factors are approximate pricing factors. The CAPM and the Fama‐French‐Carhart model are evaluated relative to portfolios based on sorts on size, book‐to‐market, and momentum.


Author(s):  
Massimo Massa ◽  
Andrei Simonov ◽  
Shan Yan
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