Pricing American Options with Stochastic Volatility: Evidence from S&P 500 Futures Options

This article tests empirically a numerical solution to price American options under stochastic volatility. The model allows for a mean-reverting stochastic-volatility process with non-zero risk premium for the volatility risk and correlation with the underlying process. A general solution of risk-ne...

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Bibliographic Details
Main Authors: Lim, Kian Guan, Guo, X. Q.
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2000
Subjects:
Online Access:https://ink.library.smu.edu.sg/lkcsb_research/2131
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Institution: Singapore Management University
Language: English
Description
Summary:This article tests empirically a numerical solution to price American options under stochastic volatility. The model allows for a mean-reverting stochastic-volatility process with non-zero risk premium for the volatility risk and correlation with the underlying process. A general solution of risk-neutral probabilities and price movements is derived. The empirical test shows clear evidence supporting the occurrence of stochastic volatility. The stochastic-volatility model outperforms the constant-volatility model by producing smaller bias and better goodness of fit in both the in-sample and out-of-sample test