The Pricing Of Four Kinds Exotic Option Under Vasicek Stochastic Interest Rate In A Fractional Brown Motion Environment

With the continuous development of financial markets, exotic options spe-cific concept also constantly changing standard option in the options market is accepted by investors familiar options, also known as general options On the basis of the general options, derived, with specific characteristics of the new option is referred to as exotic options Can say, in addition to the standard option option is referred to as exotic options appear on the market time is not long Characteristics different with standard options, or investors in the options are not familiar with new varieties of known as the concept of exotic options exotic options are relative to the standard option, just appeared on the market, new options for don't know,people call it the exotic options As time goes on, people know about this option,to become a standard option.Exotic options than standard options (such as: European option, etc.) more complex derivatives. Exotic options are the core part of the option derivatives, so has the research value, to understand the laws of exotic options pricing, this article will choose partial payment type buy power, the binomial variation options, ceiling type, the right to FuXing right to buy the four options as the research object.In this paper, based on Vasicek rates jump score of four kinds of exotic option pricing under diffusion model research, the following are the main results:First, in the interest rate to Vasicek interest rates, the asset to score type geometric Brownian motion under the condition of limit to buy power pricing.Second, obey the Vasicek rates on interest rates, the asset to score the geo-metric Brownian motion under the condition of on FuXing buy power pricing.Third, obey the Vasicek rates on interest rates, the asset to scores of geomet-ric Brownian motion under the condition of partial payment type to buy power pricing.Fourth, obey the Vasicek rates on interest rates, the asset to score geometricBrownian motion under the condition of the binomial variation of option pricing.