Valuation of correlation options under a stochastic interest rate model with regime switching

被引:0
作者
Kun Fan
Rongming Wang
机构
[1] East China Normal University,School of Statistics
来源
Frontiers of Mathematics in China | 2017年 / 12卷
关键词
Correlation option; stochastic interest rate; regime-switching; forward measure; fast Fourier transform (FFT); 60G99;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the valuation of a correlation option, a two-factor analog of a European call option, under a Hull-White interest rate model with regime switching. More specifically, the model parameters are modulated by an observable, continuous-time, finite-state Markov chain. We obtain an integral pricing formula for the correlation option by adopting the techniques of measure changes and inverse Fourier transform. Numerical analysis, via the fast Fourier transform, is provided to illustrate the practical implementation of our model.
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页码:1113 / 1130
页数:17
相关论文
共 29 条
  • [1] Bakshi G(2000)Spanning and derivative-security valuation J Financial Economics 55 205-238
  • [2] Madan D(1999)Option valuation using the fast Fourier transform J Comput Finance 2 61-73
  • [3] Carr P(1985)A theory of the term structure of interest rates Econometrica 53 385-407
  • [4] Madan D(2002)An interest rate model with a Markovian mean-reverting level Quant Finance 2 454-458
  • [5] Cox J(2009)On Markov-modulated exponential-affine bond price formulae Appl Math Finance 16 1-15
  • [6] Ingersoll J(2011)Bond valuation under a discrete-time regime-switching term-structure model and its continuous-time extension Managerial Finance 37 1025-1047
  • [7] Ross S(2017)An FFT approach for option pricing under a regimeswitching stochastic interest rate model Comm Statist Theory Methods 46 5292-5310
  • [8] Elliott R J(1989)A new approach to the economic analysis of nonstationary time series and the business cycle Econometrica 57 357-384
  • [9] Mamon R S(1990)Pricing interest-rate derivative securities Rev Financial Studies 3 573-592
  • [10] Elliott R J(2002)A technique for exponential change of measure for Markov processes Bernoulli 8 767-785