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A unique solution to a semilinear Black-Scholes partial differential equation for valuing multi-assets of American options

A unique solution to a semilinear Black-Scholes partial differential equation for valuing multi-assets of American options
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摘要 In this paper, by using the optimal stopping theory, the semilinear Black-Scholes partial differential equation (PDE) was invesigated in a fixed domain for valuing two assets of American (call-max/put-min) options. From the viscosity solution of a PDE, a unique viscosity solution was obtained for the semilinear Black-Scholes PDE. In this paper, by using the optimal stopping theory, the semilinear Black-Scholes partial differential equation (PDE) was invesigated in a fixed domain for valuing two assets of American (call-max/put-min) options. From the viscosity solution of a PDE, a unique viscosity solution was obtained for the semilinear Black-Scholes PDE.
出处 《Journal of Shanghai University(English Edition)》 CAS 2007年第4期344-350,共7页 上海大学学报(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant No.10271072)
关键词 optimal stopping American (call-max/put-min) options semilinear Black-Scholes partial differential equation(PDE) viscosity solution existence niqueness optimal stopping, American (call-max/put-min) options, semilinear Black-Scholes partial differential equation(PDE), viscosity solution, existence niqueness
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参考文献1

  • 1Fred E. Benth,Kenneth H. Karlsen,Kristin Reikvam. A semilinear Black and Scholes partial differential equation for valuing American options[J] 2003,Finance and Stochastics(3):277~298

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