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Pricing model for equity warrants in a mixed fractional Brownian environment and its algorithm
Authors:Wei-Lin Xiao  Wei-Guo Zhang  Xili Zhang  Xiaoli Zhang
Institution:1. Department of Accounting and Finance, School of Management, Zhejiang University, Hangzhou, 310006, PR China;2. School of Business and Administration, South China University of Technology, Guangzhou, 510641, PR China
Abstract:This paper deals with the problem of pricing equity warrants in a mixed fractional Brownian environment. Based on the quasi-conditional expectation and the Fourier transform, we present the pricing model for equity warrants. Moreover, a hybrid intelligent algorithm, which is based on the Genetic Algorithm, is employed to solve the nonlinear optimization problem. The performance of our model and the proposed algorithm have been illustrated with some numerical examples.
Keywords:Equity warrants  Mixed fractional Brownian motion  Fourier transform  Genetic Algorithm
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