Calibration strategies of stochastic volatility models for option pricing

Mauri Larikka and Juho Kanniainen

Applied Financial Economics, 2012, vol. 22, issue 23, 1979-1992

Abstract: This study examines how calibrated stochastic volatility models maintain their option pricing performance over subsequent days. Specifically, using a number of sets of single and multi-day data, different loss functions, and regularization techniques, we examine the dynamics of the pricing errors of two well-recognized stochastic volatility models. We find that, depending on the loss function, the use of multi-day data in calibration can slow down the increase in the pricing error for long-maturity options. On the other hand, the calibration with 1 day of data tends to give the smallest in-sample error diminishing the benefit of larger multi-day datasets. Differences between different sizes of datasets are more noticeable with the discrete-time volatility model than a continuous time one but in both cases 1 day of data would be the optimal choice and in most cases daily calibration is needed.

Date: 2012
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DOI: 10.1080/09603107.2012.681026

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