This paper studies the critical exercise price of American floating strike lookback options under the mixed jump-diffusion model. By using It formula and Wick-It-Skorohod integral, a new market pricing model estab...This paper studies the critical exercise price of American floating strike lookback options under the mixed jump-diffusion model. By using It formula and Wick-It-Skorohod integral, a new market pricing model established under the environment of mixed jumpdiffusion fractional Brownian motion. The fundamental solutions of stochastic parabolic partial differential equations are estimated under the condition of Merton assumptions. The explicit integral representation of early exercise premium and the critical exercise price are also given, then the American floating strike lookback options factorization formula is obtained, the results is generalized the classical Black-Scholes market pricing model.展开更多
In this paper, we present a new approach for solving boundary value problem in partial differential equation arising in financial market by means of the Laplace transform. The result shows that the Laplace transform f...In this paper, we present a new approach for solving boundary value problem in partial differential equation arising in financial market by means of the Laplace transform. The result shows that the Laplace transform for the price of the European call option which pays dividend yield reduces to the Black-Scholes-Merton model.展开更多
基金Supported by the Fundamental Research Funds of Lanzhou University of Finance and Economics(Lzufe2017C-09)
文摘This paper studies the critical exercise price of American floating strike lookback options under the mixed jump-diffusion model. By using It formula and Wick-It-Skorohod integral, a new market pricing model established under the environment of mixed jumpdiffusion fractional Brownian motion. The fundamental solutions of stochastic parabolic partial differential equations are estimated under the condition of Merton assumptions. The explicit integral representation of early exercise premium and the critical exercise price are also given, then the American floating strike lookback options factorization formula is obtained, the results is generalized the classical Black-Scholes market pricing model.
文摘In this paper, we present a new approach for solving boundary value problem in partial differential equation arising in financial market by means of the Laplace transform. The result shows that the Laplace transform for the price of the European call option which pays dividend yield reduces to the Black-Scholes-Merton model.
