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Asymptotic behavior of prices of path dependent options
path dependent option Markov property Levy process Asian option partial barrier option asymptotic behavior
2010/11/3
In this paper, we give a numerical method for pricing long maturity,path dependent options by using the Markov property for each underlying asset. This enables us to approximate a path dependent optio...
Asymptotic Behavior of the Stock Price Distribution Density and Implied Volatility in Stochastic Volatility Models
true martingales one-dimensional diffusions separating times financial bubbles
2010/11/1
The stochastic exponential Zt = exp{Mt − M0 − (1/2)hM,Mit} of a continuous local martingale M is itself a continuous local martingale. We give a necessary and sufficient condition for the ...