A Reduced Basis Method for option pricing with constant elasticity of variance
کد مقاله : 1054-FEMATH7
نویسندگان
مینا گنجعلی *1، علی صفدری2
1دانشگاه علامه طباطبایی
2هیات علمی
چکیده مقاله
‎Black-Scholes pricing theory is one of the most important rule to calculate of option price‎. ‎Various methods have been introduced for option pricing to overcome to the shortcoming of Black-Scholes model. ‎In this paper, ‎we investigate a reduced basis method and focus on basis functions constructed from a sequence of Black-Scholes solutions with different volatilities to approximate solution of rising equations from option pricing modelling under the constant elasticity of variance model. ‎The main goal of this paper is to present the details of the basis functions and aspects of the basis function under the constant elasticity of variance model. ‎Then, ‎the efficiency of the method presented by numerical example.
کلیدواژه ها
Raduced basis, ‎Constant elasticity of variance model, ‎Option pricing, ‎Partial differential equation
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