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Research Article

An efficient numerical method for pricing a Russian option with a finite time horizon

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Pages 2025-2039 | Received 16 Aug 2020, Accepted 22 Dec 2020, Published online: 21 Jan 2021

References

  • Z. Cen and A. Le, A robust finite difference scheme for pricing American put options with singularity-Separating method, Numer. Algorithms 53(4) (2010), pp. 497–510.
  • Z. Cen and A. Le, A robust and accurate finite difference method for a generalized Black-Scholes equation, J. Comput. Appl. Math. 235(13) (2011), pp. 3728–3733.
  • Z. Cen, A. Le, and A. Xu, A second-order difference scheme for the penalized Black-Scholes equation governing American put option pricing, Comput. Econ. 40(1) (2012), pp. 49–62.
  • X. Cheng and L. Xue, On the error estimate of finite difference method for the obstacle problem, Appl. Math. Comput. 183 (2006), pp. 416–422.
  • M. Dai and Y.K. Kwok, American options with lookback payoff, SIAM J. Appl. Math. 66(1) (2005), pp. 206–227.
  • J.D. Duffie and J.M. Harrison, Arbitrage pricing of Russian options and perpetual lookback options, Ann. Appl. Probab. 3(3) (1993), pp. 641–651.
  • J.J. Duistermaat, A.E. Kyprianou, and K. van Schaik, Finite expiry Russian options, Stoch. Process. Appl. 115(4) (2005), pp. 609–638.
  • E. Ekström, Russian option with a finite time horizon, J. Appl. Probab. 41(2) (2004), pp. 313–326.
  • R. Glowinski, J.L. Lions, and T. Trémolières, Numerical Analysis of Variational Inequality, North-Holland, Amsterdam, 1984.
  • D. Goeleven, A uniqueness theorem for the generalized-order linear complementarity problem associated with M-matrices, Linear Algebra Appl. 235 (1996), pp. 221–227.
  • J. Jeon, H. Han, H. Kim, and M. Kang, An integral equation representation approach for valuing Russian options with a finite time horizon, Commun. Nonlinear Sci. Numer. Simulat. 36 (2016), pp. 496–516.
  • T. Kimura, Valuing finite-lived Russian options, Eur. J. Oper. Res. 189(2) (2008), pp. 363–374.
  • Y.K. Kwok, Mathematical Models of Financial Derivatives, 2nd ed. Springer-Verlag, Berlin, 2008.
  • G. Peskir, The Russian option: Finite horizon, Finance Stoch. 9(2) (2005), pp. 251–267.
  • L. Shepp and A.N. Shiryaev, The Russian options: reduced regret, Ann. Appl. Probab. 3(3) (1993), pp. 631–640.
  • L. Shepp and A.N. Shiryaev, A new look at the ‘Russian option’, Theory Probab. Appl. 39(1) (1994), pp. 103–119.
  • P. Wilmott, J. Dewynne, and J. Howison, Option Pricing: Mathematical Models and Computation, Oxford Financial Press, Oxford, 1993.

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