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Solving asset pricing models with stochastic volatility

Oliver de Groot

Journal of Economic Dynamics and Control, 2015, vol. 52, issue C, 308-321

Abstract: This paper provides a closed-form solution for the price-dividend ratio in a standard asset pricing model with stochastic volatility. The growth rate of the endowment is a first-order Gaussian autoregression, while the stochastic volatility innovations can be drawn from any distribution for which the moment-generating function exists. The solution is useful in allowing comparisons among numerical methods used to approximate the nontrivial closed form. The closed-form solution reveals that, when using perturbation methods around the deterministic steady state, the approximate solution needs to be sixth-order accurate in order for the parameter capturing the conditional standard deviation of the stochastic volatility process to be present.

Keywords: Endowment model; Price-dividend ratio; Closed-form solution; Numerical methods (search for similar items in EconPapers)
JEL-codes: C61 C62 G12 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (11)

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Working Paper: Solving asset pricing models with stochastic volatility (2014) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:52:y:2015:i:c:p:308-321

DOI: 10.1016/j.jedc.2015.01.001

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Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

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