-arbitrage relations through the correlation structure of interest rates. Therefore, unspanned stochastic volatility (USV) as well as … between the bond price dynamics and the subordinated stochastic volatility process, whereas Random Field models allow for a …

Partial differential equations -- Elements of the theory of the Stochastic processes -- Partial differential equation … in the consumer theory -- Partial differential equations in the producer theory -- Partial differential equations and … pricing of the financial -- Derivatives -- A theory of boundedly rational behavior -- Partial differential equations in game …

exotic options, and discusses three different factors: stochastic volatility, stochastic interest rate and random jump. The … modeling of volatility and interest rate falls into four different alternatives: constant, mean-reverting Ornstein …

volatility derivatives. In the first part, the book develops a unifying theory for the analysis of contingent claims under both …This book presents a factor-based model of the stochastic evolution of the implied volatility surface. The model allows … the real-world measure and the risk-neutral measure in an environment of stochastic implied volatility. On the basis of …

stochastic volatility, jumps in the underlying and the price process and a stochastic target level as well as with deterministic …