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Original Articles

Double barrier option under regime-switching exponential mean-reverting process

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Pages 964-981 | Received 06 May 2008, Accepted 26 Sep 2008, Published online: 01 Jun 2009

References

  • Bansal , R. and Zhou , H. 2002 . Term structure of interest rates with regime shifts . J. Finan , 57 ( 5 ) : 1997 – 2043 .
  • Bollen , N. P.B. 1998 . Valuing options in regime-switching models . J. Deriv , 6 : 38 – 49 .
  • Buchholz , H. 1969 . “ Confluent Hypergeometric Function with Special Emphasis on its Applications ” . Berlin/Heidelberg/New York : Springer .
  • Buffington , J. and Elliott , R. J. 2002 . America options with regime switching . Int. J. Theor. Appl. Finan , 5 : 497 – 514 .
  • Coddington , E. A. and Levinson , N. 1955 . “ Theory of Ordinary Differential Equations ” . New York : McGraw-Hill .
  • Coppel , W. A. 1971 . “ Disconjugacy ” . Vol. 220 , Berlin/New York : Springer-Verlag . Lecture Notes in Mathematics
  • Darling , D. A. and Siegert , A. J.F. 1953 . The first passage problem for a continuous Markov process . Ann. Math. Statist , 24 ( 4 ) : 624 – 639 .
  • Elliott , R. J. , Chan , L. and Siu , T. K. 2005 . Option pricing and Esscher transform under regime switching . Ann. Finan. 1 , : 423 – 432 .
  • Geman , H. and Yor , M. 1996 . Pricing and hedging double-barrier options: a probabilistic approach . Math. Finan , 6 ( 4 ) : 365 – 378 .
  • Goldman , M. , Sosin , H. and Gatto , M. 1979 . Path dependent options: buy at the low, sell at the high . J. Finan , 34 ( 5 ) : 111 – 127 .
  • Guo , X. 2000 . Information and option pricings . Quant. Finan , 1 : 38 – 44 .
  • Guo , X. and Zhang , Q. 2004 . Closed-form solutions for perpetual American put options with regime switching . SIAM J. Appl. Math , 64 ( 6 ) : 2034 – 2049 .
  • Hardy , M. R. 2001 . A regime-switching model for long-term stock returns . N. Amer. Actuar. J , 5 ( 2 ) : 41 – 53 .
  • Jackson , L. K. 1977 . “ Boundary value problems for ordinary differential equations ” . In Studies in Ordinary Differential Equations , Edited by: Hale , J. K. Vol. 14 , Washington, DC : Mathematical Association of America . MAA Studies in Mathematics
  • Khaliq , A. Q.M. and Liu , R. H. in press . New numerical scheme for pricing American option with regime-switching . Int. J. Theor. Appl. Finan ,
  • Kunitomo , N. and Ikeda , M. 1992 . Pricing options with curved boundaries . Math. Finan , 2 ( 4 ) : 275 – 298 .
  • Liu , R. H. , Zhang , Q. and Yin , G. 2006 . Option pricing in a regime switching model using the fast Fourier transform . J. Appl. Math. Stochas. Anal , Article ID 18109, doi:10.1155/JAMSA/2006/18109.
  • Lo , C. F. and Hui , C. H. 2006 . Computing the first passage time density of a time-dependent Ornstein–Uhlenbeck process to a moving boundary . Appl. Math. Lett , 19 : 1399 – 1405 .
  • Lo , C. F. and Hui , C. H. 2007 . Valuing double barrier options with time-dependent parameters by Fourier series expansion . IAENG Int. J. Appl. Math , 36 ( 1 ) : 1 – 5 .
  • Merton , R. C. 1973 . Theory of rational option pricing . Bell J. Econ. Manage. Sci , 4 ( 1 ) : 141 – 183 .
  • Oksendal , B. K. 2003 . “ Stochastic Differential Equations: An Introduction with Applications ” . In , 6 , Berlin/Heidelberg/New York : Springer .
  • Pelsser , A. 2000 . Pricing double barrier options using Laplace transforms . Finan. Stochas , 4 ( 1 ) : 95 – 104 .
  • Roberts , G. O. and Shortland , C. F. 1997 . Pricing barrier options with time-dependent coefficients . Math. Finan , 7 ( 1 ) : 83 – 93 .
  • Schwartz , E. S. 1982 . The stochastic behavior of commodity prices: implications for valuation and hedging . J. Finan. , 52 : 923 – 973 .
  • Tsay , R. S. 2002 . “ Analysis of Financial Time Series ” . USA : Wiley-Interscience .
  • Yao , D. D. , Zhang , Q. and Zhou , X. Y. 2006 . “ A regime-switching model for European options, in Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems ” . Edited by: Yan , H. M. , Yin , G. and Zhang , Q. 281 – 300 . Springer .
  • Yin , G. and Zhang , Q. 1998 . “ Continuous-Time Markov Chains and Applications: A Singular Perturbation Approach ” . New York : Springer .

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