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引用本文:�̹�Ʒ,���. ����ת��ģ���¾���Ȩ����Ȩ�Ķ����о�[J]. 应用概率统计, 2017, 34(3): 285-296. DOI: 10.3969/j.issn.1001-4268.2017.03.006
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Valuation of CatEPuts with Regime Switching
CHENG GongPin,FAN Kun. Valuation of CatEPuts with Regime Switching[J]. Chinese Journal of Applied Probability and Statisties, 2017, 34(3): 285-296. DOI: 10.3969/j.issn.1001-4268.2017.03.006
Authors:CHENG GongPin  FAN Kun
Affiliation:School of Statistics, East China Normal University
Abstract:This paper investigates the pricing of CatEPuts undera Markovian regime-switching jump-diffusion model. The parameters of this model,including the risk-free interest rate, the appreciation rate and the volatilityof the clients' equity, are modulated by a continuous-time, finite-state, observableMarkov chain. An equivalent martingale measure is selected by employing theregime-switching Esscher transform. The fast Fourier transform (FFT) techniqueis applied to price the CatEPuts. In a two-state Markov chain case, numericalexample is presented to illustrate the practical implementation of the model.
Keywords:CatEPuts  regime-switching  Esscher transform  fast Fourier transform  
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