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The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula Merton-Garman model
2011/7/5
In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed.
Based on this kernel option formula is obtained, which generalizes the well-known Bla...
In this paper we analytically study the pricing of the arithmetically averaged Asian option in the path integral formalism. By a trick about the Dirac delta function, the measure of the path integral...
Path integral approach to Asian options in the Black-Scholes model
Path integral Asian options Black-Scholes model
2010/11/1
We derive a closed-form solution for the price of an average price as well as an average strike
geometric Asian option, by making use of the path integral formulation. Our results are compared to a n...
A path integral approach to closed-form option pricing formulas with applications to stochastic volatility and interest rate models
integral option pricing formulas applications stochastic volatility interest rate models
2010/12/20
We present a path integral method to derive closed-form solutions for option prices in a stochastic volatility model. The method is explained in detail for the pricing of a plain vanilla option. The f...