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The Asian Option Pricing when Discrete Dividends Follow a Markov-Modulated Model

The Asian Option Pricing when Discrete Dividends Follow a Markov-Modulated Model
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摘要 This paper is concerned with the pricing problem of the discrete arithmetic average Asian call option while the discrete dividends follow geometric Brownian motion. The volatility of the dividends model depends on the Markov-Modulated process. The binomial tree method, in which a more accurate factor has been used, is applied to solve the corresponding pricing problem. Finally, a numerical example with simulations is presented to demonstrate the effectiveness of the proposed method. This paper is concerned with the pricing problem of the discrete arithmetic average Asian call option while the discrete dividends follow geometric Brownian motion. The volatility of the dividends model depends on the Markov-Modulated process. The binomial tree method, in which a more accurate factor has been used, is applied to solve the corresponding pricing problem. Finally, a numerical example with simulations is presented to demonstrate the effectiveness of the proposed method.
出处 《Open Journal of Statistics》 2017年第6期1067-1080,共14页 统计学期刊(英文)
关键词 Arithmetic Average Asian Call Option DISCRETE DIVIDENDS Geometric BROWNIAN Motion Markov-Modulated VOLATILITY BINOMIAL Tree Arithmetic Average Asian Call Option Discrete Dividends Geometric Brownian Motion Markov-Modulated Volatility Binomial Tree
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