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Small time asymptotics for stochastic evolution equations
Stochastic partial differential equations small time asymp-totics
2011/1/18
We obtain a large deviation principle describing the small time asymp-totics of the solution of a stochastic evolution equation with multiplicative noise. Our assumptions are a condition on the linear...
Small-time asymptotics for fast mean-reverting stochastic volatility models
Small-time asymptotics fast mean-reverting stochastic volatility models
2010/10/21
In this paper, we study stochastic volatility models in regimes where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor. The problem falls in the...
Small-time asymptotics for fast mean-reverting stochastic volatility models
Stochastic volatility multi-scale asymptotic large deviation principle implied volatility smile/skew
2010/12/15
In this paper, we study stochastic volatility models in regimes where the maturity is small but large compared to the mean-reversion time of the stochastic volatility factor.
Small-Time Asymptotics of Option Prices and First Absolute Moments
option price absolute moment small-time asymptotics approximation
2010/10/20
We study the leading term in the small-time asymptotics of at-the-money call option prices when the stock price process $S$ follows a general martingale. This is equivalent to studying the first cent...