implemented and do not contain any numerical integration.These formulas are important in volatility surface construction and CMS …

Stochastic volatility models are widely used in interest rate modeling to match the option smiles -- the two most …, Heston-LMM and SABR-LMM respectively.In this paper we consider the CEV model with a general stochastic volatility. Assuming … that rate-volatility correlation is zero we are able to obtain an exact integral representation of the option price …

method consists of specifying the joint distribution of the volatility and underlying at a given expiry and requires the … obtained as one-dimensional integrals. The specification of the volatility function is flexible and allows additional control …

We develop a discrete-time affine stochastic volatility model with time-varying conditional skewness (SVS). Importantly …, we disentangle the dynamics of conditional volatility and conditional skewness in a coherent way. Our approach allows … autoregressive conditional heteroskedasticity (GARCH), and stochastic volatility with jumps (SVJ) models. Our results are not due to …

of stochastic volatility (Heston model) has been introduced in our publications “Complete Analytical Solution of the … model for Stochastic Volatility (SV). Our discovery of the probability density function of the European style Asian Options … constant volatility.All numerical evaluations based on our analytical results are practically instantaneous and absolutely …

volatility (Heston model), enabling complete analytical resolution of all problems associated with American Style Options … volatility (Heston model) is expressive enough to enable derivation for the first time ever of corollary closed-form analytical … constant or stochastic volatility, will be below or above any set of thresholds at termination. Such assessments are absolutely …

Volatility has been one of the most active and successful areas of research in time series econometrics and economic … empirical insights to emerge from this burgeoning literature, with a distinct focus on forecasting applications. Volatility is … inherently latent, and Section 1 begins with a brief intuitive account of various key volatility concepts. Section 2 then …

This paper proposes the new concept of stochastic leverage in stochastic volatility models.Stochastic leverage refers … stochastic volatility process. We provide a systematic treatment of stochastic leverage and propose to model the stochastic … tractable and allow for a direct economic interpretation. In particular, we propose two new stochastic volatility models which …

Using positive semidefinite supOU (superposition of Ornstein-Uhlenbeck type) processes to describe the volatility, we … introduce a multivariate stochastic volatility model for financial data which is capable of modelling long range dependence … effects. The finiteness of moments and the second order structure of the volatility, the log returns, as well as their …