A new algorithm for calibrating local regime-switching models

Publication Name

IMA Journal of Management Mathematics

Abstract

In quantitative finance practice, model calibration is a key challenge. This is especially so when a local regime-switching model needs to be calibrated because designing an efficient and reliable algorithm to obtain local volatility values as a function of underlying price and time is important for the model to be successfully used in practice. Therefore, this paper proposes a new algorithm for calibrating local regime-switching models with observed option prices available for a particular market that is suitable for this type of model. The newly proposed algorithm is tested with calibrations performed on synthetic as well as real market data. Our empirical test results indicate that the algorithm has great potential to be used in financial risk management.

Open Access Status

This publication is not available as open access

Volume

32

Issue

2

First Page

237

Last Page

255

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Link to publisher version (DOI)

http://dx.doi.org/10.1093/imaman/dpaa012