Browse > Article
http://dx.doi.org/10.14403/jcms.2015.28.1.89

EUROPEAN CONTINGENT CLAIMS VALUATION UNDER REGIME SWITCHING USING THE MELLIN TRANSFORM APPROACH  

Lee, Ho-Seok (FX & Derivatives Trading Division Korea Exchange Bank)
Shin, Yong Hyun (Department of Mathematics Sookmyung Women's University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.1, 2015 , pp. 89-95 More about this Journal
Abstract
In this paper we investigate the pricing of European contingent claims under regime switching. We use the Mellin transform to derive an analytic form of the valuation of contingent claims.
Keywords
European contingent claims; regime switching; Mellin transforms;
Citations & Related Records
연도 인용수 순위
  • Reference
1 P. Boyle and T. Draviam, Pricing exotic options under regime switching, Insurance: Mathematics and Economics 40 (2007), 267-282.   DOI
2 R. Frontczak, Valuing Options in Heston's Stochastic Volatility Model: Another Analytical Approach, Journal of Applied Mathematics 2011 (2011), Article ID 198469.
3 R. Frontczak, Pricing Options in Jump Diffusion Models Using Mellin Transforms, Journal of Mathematical Finance 3 (2013), 366-373.   DOI
4 R. Frontczak and R. Schobel, On modified Mellin transforms, Gauss-Laguerre quadrature, and the valuation of American call options, Journal of Computational and Applied Mathematics 234 (2010), 1559-1571.   DOI   ScienceOn
5 L. Jodar, P. Sevilla-Peris, J.C. Cortes, and R. Sala, A new direct method for solving the Black-Scholes equation, Applied Mathematics Letters 18 (2005), 29-32.   DOI   ScienceOn
6 V. Naik, Option valuation and hedging strategies with jumps in the volatility of asset returns, Journal of Finance 48 (1993), 1969-1984.   DOI   ScienceOn
7 R. Panini and R. P. Srivastav, Option pricing with Mellin transforms, Mathematical and Computer Modelling 40 (2004), 43-56.   DOI   ScienceOn
8 R. Panini and R. P. Srivastav, Pricing perpetual options using Mellin transforms, Applied Mathematics Letters 18 (2005), 471-474.   DOI   ScienceOn