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Analytical and Numerical Approaches to Pricing the Path-Dependent Options with Stochastic Volatility
Analytical Numerical Pricing Path-Dependent Options Stochastic Volatility
2010/10/21
In this paper new analytical and numerical approaches to valuating path-dependent options of European type have been developed. The model of stochastic volatility as a basic model has been chosen. Fo...
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...
Pricing Path-Dependent Options with Jump Risk via Laplace Transforms
jump diffusion American options barrier and lookback options
2009/5/7
We present analytical solutions for two-dimensional Laplace transforms of barrier option prices, as well as an approximation based on Laplace transforms for the prices of finite-time horizon American...
Pricing Path-Dependent Options with Jump Risk via Laplace Transforms
jump diffusion American options barrier and lookback options
2010/12/7
We present analytical solutions for two-dimensional Laplace transforms of barrier option prices, as well as an approximation based on Laplace transforms for the prices of finite-time horizon American ...