Option Pricing and Hedging under a Markov Switching Lévy Process Model

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  • School of Applied Mathematics,Nanjing University of Finance and Economics
SONG Rui-li(1979-), female, native of Linyi, Shandong, an associate professor of Nanjing University of Finance and Economics, Ph.D., engages in stochastic processes.

Received date: 2015-11-11

  Online published: 2020-10-26

Supported by

Supported by the National Natural Science Foundation of China(11201221); Supported by the Natural Science Foundation of Jiangsu Province(BK2012468);

Abstract

In this paper, we consider a Markov switching Lévy process model in which the underlying risky assets are driven by the stochastic exponential of Markov switching Lévy process and then apply the model to option pricing and hedging. In this model, the market interest rate, the volatility of the underlying risky assets and the N-state compensator,depend on unobservable states of the economy which are modeled by a continuous-time Hidden Markov process. We use the MEMM(minimal entropy martingale measure) as the equivalent martingale measure. The option price using this model is obtained by the Fourier transform method. We obtain a closed-form solution for the hedge ratio by applying the local risk minimizing hedging. 

Cite this article

SONG Rui-li, WANG Bo . Option Pricing and Hedging under a Markov Switching Lévy Process Model[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(1) : 66 -78 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.01.008

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