Historical simulation approach to the estimation of stochastic discount factor models

Andrei Semenov

Quantitative Finance, 2008, vol. 8, issue 4, 391-404

Abstract: We propose an approach to the estimation of the parameters of stochastic discount factor (SDF) models which is based on the idea that the next period joint distribution of the variables in a SDF and asset returns can be well approximated by their joint historical distribution. The estimates of the SDF parameters may therefore be found as the values of the parameters at which the mean of the historical distribution of the product of the SDF with an asset return equals one. Each time period, the estimates are updated using the most recent periods of data and hence can change over time. This method can be viewed as an alternative to the approaches that specify a particular functional form relating the SDF parameters to proxies for the state of the world.

Keywords: Asset pricing; Applied econometrics; Applied finance; Capital asset pricing (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1080/14697680701561365

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