Pricing Study on Two Kinds of Power  Options in Jump-Diffusion Models with  Fractional Brownian Motion and  Stochastic Rate

Jin Li; Kaili Xiang; Chuanyi Luo

doi:10.4236/am.2014.516234

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Applied Mathematics > Vol.5 No.16, September 2014

Pricing Study on Two Kinds of Power Options in Jump-Diffusion Models with Fractional Brownian Motion and Stochastic Rate ()

Jin Li, Kaili Xiang, Chuanyi Luo

School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, China.

DOI: 10.4236/am.2014.516234 PDF HTML 2,931 Downloads 3,339 Views Citations

Abstract

In this paper, under the assumption that the exchange rate follows the extended Vasicek model, the pricing of the reset option in FBM model is investigated. Some interesting themes such as closed-form formulas for the reset option with a single reset date and the phenomena of delta of the reset jumps existing in the reset option during the reset date are discussed. The closed-form formulae of pricing for two kinds of power options are derived in the end.

Keywords

Stochastic Rate, Fractional Jump-Diffusion Process, Fractional Brown Motion, Power Option

Share and Cite:

Li, J. , Xiang, K. and Luo, C. (2014) Pricing Study on Two Kinds of Power Options in Jump-Diffusion Models with Fractional Brownian Motion and Stochastic Rate. Applied Mathematics, 5, 2426-2441. doi: 10.4236/am.2014.516234.

Conflicts of Interest

The authors declare no conflicts of interest.

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