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Conditional sampling for barrier option pricing under the Heston model
Conditional sampling barrier option pricing Heston model
2012/9/14
We propose a quasi-Monte Carlo algorithm for pricing knock-out and knock-in barrier options under the Heston (1993) stochastic volatility model. This is done by modifying the LT method from Imai and T...
Smiles all around: FX joint calibration in a multi-Heston model
FX joint calibration multi-Heston model Pricing of Securities
2012/3/2
Multi-currency FX derivatives offer a challenging playground to the mathematical modelling of correlations. Quotes of liquidly traded vanilla options on cross FX rates, e.g. EUR/JPY, can be used to ex...
A note on essential smoothness in the Heston model
Essential smoothness large deviation principle Heston model
2011/10/9
Abstract: This note studies an issue relating to essential smoothness that can arise when the theory of large deviations is applied to a certain option pricing formula in the Heston model. The note id...
FX Smile in the Heston Model
Heston model vanilla option stochastic volatility Monte Carlo simulation
2010/10/22
The Heston model stands out from the class of stochastic volatility (SV) models mainly for two reasons. Firstly, the process for the volatility is non-negative and mean-reverting, which is what we obs...
It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment $s^{*}$ can be obtained by solving (numerically) a simple equation. This yields a leading ...
On refined volatility smile expansion in the Heston model
refined volatility expansion Heston model
2010/10/18
It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment $s^{*}$ can be obtained by solving (numerically) a simple equation. This yields a leading ...
Asymptotic formulae for implied volatility in the Heston model
Asymptotic formulae implied volatility Heston model
2010/11/2
In this paper we prove an approximate formula expressed in terms of elementary functions for the implied volatility in the Heston model. The formula consists of the constant and first order terms in t...