An Implicit Double Discretization Method for Pricing Options under Metron’s Jumpdiffusion Model
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O241.8

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    Reference
    [1] Black F, Scholes M. The pricing of options and corporate liabilities[J]. Journal of Political Economy, 1973, 81(3): 637-654.
    [2] Heston S L. A closed-form solution for options with stochastic volatility with applications to bond and currency options[J]. Review of Financial Studies, 1993, 6(2):327-343.
    [3] Dupire B. Pricing with a smile[J]. Risk Magazine, 1994, 7:18-20.
    [4] Merton R C. Option pricing when underlying stock return are discontinuous[J]. Journal of Financial Economics, 1976, 3(1-2):125-144.
    [5] Zhang X L. Numerical analysis of American option pricing in a Jump diffusion model[J]. Mathematics of Operations Research, 1997, 22(3):668-690.
    [6] d'Halluin Y, Forsyth P A, Vetzal K R. Robust numerical methods for contingent claims under jump diffusion processes [J]. IMA Journal of Numerical Analysis, 2005, 25(1): 87-112.
    [7] Tavella D, Randall C. Pricing Financial Instruments[M]. Wiley, New York, NY, USA, 2000.
    [8] Salmi S, Toivanen J. An iterative method for pricing American options under jump-diffusion model [J]. Applied Numerical Mathematics, 2011, 61(7):821-831.
    [9] Sachs E W, Strauss A K. Efficient solution of a partial integro-differential equation in finance[J]. Applied Numerical Mathematics, 2008, 58(11):1687-1703.
    [10] Casaban M C. Company R, Jodar L, Romero J V. Double discretization difference schemes for partial integrodifferential option pricing jump diffusion models[J]. Abstract and Applied Analysis, 2012, doi: 10.1155/2012/120358.
    [11] Bai Z Z. Modulus-based matrix splitting iteration methods for linear complementarity Problems[J]. Numerical Linear Algebra with Applications, 2010, 17(6): 917-933
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DOU Quanyu, YIN Junfeng, GAN Xiaoting. An Implicit Double Discretization Method for Pricing Options under Metron’s Jumpdiffusion Model[J].同济大学学报(自然科学版),2017,45(02):0302~

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History
  • Received:April 19,2016
  • Revised:November 18,2016
  • Adopted:August 23,2016
  • Online: March 07,2017
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