The Functional Stochastic Discount Factor

Ngoc-Khanh Tran ()
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Ngoc-Khanh Tran: Pamplin College of Business, Virginia Tech, Blacksburg, USA

Quarterly Journal of Finance (QJF), 2019, vol. 09, issue 04, 1-49

Abstract: By assuming that the stochastic discount factor (SDF) M is a proper but unspecified function of state variables X, we show that this function M(X) must solve a simple second-order linear differential equation specified by state variables’ risk-neutral dynamics. Therefore, this assumption determines the most general possible SDFs and associated preferences, that are consistent with the given risk-neutral state dynamics and interest rate. A consistent SDF then implies the corresponding state dynamics in the data-generating measure. Our approach offers novel flexibilities to extend several popular asset pricing frameworks: affine and quadratic interest rate models, as well as models built on linearity-generating processes. We illustrate the approach with an international asset pricing model in which (i) interest rate has an affine dynamic term structure and (ii) the forward premium puzzle is consistent with consumption-risk rationales; the two asset pricing features previously deemed conceptually incompatible.

Keywords: Stochastic discount factor; dynamic term structure models; linear generating processes; forward premium puzzle (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:qjfxxx:v:09:y:2019:i:04:n:s2010139219500137

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DOI: 10.1142/S2010139219500137

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