Pricing Of Exotic Options On Fractional Jump-difusions

Options trading began in the late eighteenth century in the United States and Eu-ropean markets, in the following decades, Option pricing theory and application researchon rapid development, and achieved fruitful results. B the-s option pricing formula isset up under the classical capital market theory model. Because this study ignores thenonlinear fractal and the complexity of fnancial markets, Classic capitalist market haslimitations, to now have not meet the need of deeper fnancial markets. So we need toresearch orientation in the broader environment, to make it More practical value.Under the efcient market hypothesis, underlying asset pricing process is geometricBrownian motion. However, the volatility of the underlying asset generally has character-istics such as self-similarity and long-term dependence, We know a geometric Brownianmotion, no corresponding properties, this leads to a geometric Brownian motion, andthe market there is a certain degree of diference, so does not depict targets The mostideal tool for asset prices. And fractional Brownian motion is a long-term dependenceof self-similar process, and therefore, replace geometric Brownian motion with fractionalBrownian motion To well describe the process of underlying asset price, and can betterthe result of the actual market, which has better adaptability. The researchers also foundthat when the actual market Now some important information, price changes in the pro-cess is not continuous, we use the jump difusion model to reflect the characteristics ofthe discontinuity.This article is based on the scores of exotic options under the background of thejump difusion model pricing research, the main results were as follows:First, based on scores under the jump difusion model of ceiling type buy powerpricing.Second, based on scores under the jump difusion model for FuXing buy powerpricing.Third, based on scores under the jump difusion model of partial payment type tobuy power pricing.Fourth, based on scores under the jump difusion model of binomial option pricing.