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Libor model with expiry-wise stochastic volatility and displacement
displaced Libor models stochastic volatility calibration to capstrike maturity matrix swaption pricing
2012/4/28
We develop a multi-factor stochastic volatility Libor model with displacement, where each individual forward Libor is driven by its own square-root stochastic volatility process. The main advantage of...
Arbitrage Opportunities in Misspecified Stochastic volatility Models
stochastic volatility model misspecification volatility arbitrage
2010/10/18
There is vast empirical evidence that given a set of assumptions on the real-world dynamics of an asset, the European options on this asset are not efficiently priced in options markets, giving rise t...
On dependence of the implied volatility on returns for stochastic volatility models
stochastic volatility the Heston model
2010/10/21
We study the dependence of volatility on the stock price in the stochastic volatility framework on the example of the Heston model.To be more specific, we consider the conditional expectation of vari...
Asymptotic analysis for stochastic volatility: Edgeworth expansion
Asymptotic analysis stochastic volatility Edgeworth expansion
2010/10/19
The validity of an approximation formula for European option prices under a general stochastic volatility model is proved in the light of the Edgeworth expansion for ergodic diffusions. The asymptotic...
Bounds on Stock Price probability distributions in Local-Stochastic Volatility models
Law of the spot price local-stochastic volatility moment explosion
2010/10/20
We show that in a large class of stochastic volatility models with additional skew-functions (local-stochastic volatility models) the tails of the cumulative distribution of the log-returns behave as...
Extra-Dimensional Approach to Option Pricing and Stochastic Volatility
Extra-Dimensional Option Pricing Stochastic Volatility
2010/10/18
The generalized 5D Black-Scholes differential equation with stochastic volatility is derived. The projections of the stochastic evolutions associated with the random variables from an enlarged space o...
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 ...
Probabilistic representations of the density function of the asset price and of vanilla options in linear stochastic volatility models
Probabilistic representations asset price linear stochastic volatility models
2010/11/2
Probabilistic representations of the density function of the asset price and of vanilla options in linear stochastic volatility models。
High order discretization schemes for stochastic volatility models
High order discretization schemes stochastic volatility models
2010/11/2
In usual stochastic volatility models, the process driving the volatility of the asset price evolves accord-ing to an autonomous one-dimensional stochastic differential equation. We assume that the co...
Generalized pricing formulas for stochastic volatility jump diffusion models applied to the exponential Vasicek model
pricing formulas diffusion models the exponential Vasicek model
2010/12/13
Path integral techniques for the pricing of financial options are mostly based on models that can be recast in terms of a Fokker-Planck differential equation and that, consequently, neglect jumps and...