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Option Pricing with Markov Switching in Uncertainty Markets

Option Pricing with Markov Switching in Uncertainty Markets
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摘要 In this paper, we present a stock model with Markov switching in the uncertainty markets, where the parameters of drift and volatility change according to the states of a Markov process. To price the option, we firstly establish a risk-neutral probability based on the uncertain measure given by Liu. Then a closed form of the European option pricing formula is obtained by applying the Laplace transforms and the inverse Laplace transforms. In this paper, we present a stock model with Markov switching in the uncertainty markets, where the parameters of drift and volatility change according to the states of a Markov process. To price the option, we firstly establish a risk-neutral probability based on the uncertain measure given by Liu. Then a closed form of the European option pricing formula is obtained by applying the Laplace transforms and the inverse Laplace transforms.
机构地区 College of Science
出处 《Open Journal of Applied Sciences》 2015年第5期191-198,共8页 应用科学(英文)
关键词 UNCERTAINTY Theory Markov Process LAPLACE Transform Put-Call PARITY OPTION PRICING Uncertainty Theory Markov Process Laplace Transform Put-Call Parity Option Pricing
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