the implications of a given stochastic discount factor model. Furthermore, a useful application to stochastic volatility …

actively traded VIX options. Under the model, the evolution of future VIX is completely determined by the volatility function … of forward VIX squared normalized by VIX futures prices. A general volatility function with one- to three-factor models … general volatility function that incorporates mean-reversion and hump effects to test two multifactor models, (iii) finding …

We consider derivatives that maximize an investor's expected utility in the stochastic volatility model. We show that … the optimal derivative that depends on the stock and its variance significantly outperforms the optimal derivative that …

volatility surface. The rapid development of the CDS market has provided convenient products to extract credit risk, and its … interaction with equity volatility has been analyzed in many studies. However, in most of them the 5-year credit default swap … spread is used to measure credit risk, whilst the at-the-money 1-month implied volatility is used to measure equity …

-stochastic volatility (LSV) model. Despite their complexity, autocallable structured notes are the most traded equity-linked exotic …, the commonly-used local volatility (LV) model is overly simplified for pricing and risk management. Given its ability to … match the implied volatility smile and reproduce its realistic dynamics, the LSV model is, in contrast, better suited for …

stochastic volatility models with jumps. In this paper we consider a dense subclass of such models and develop analytically … Fourier transforms of vanilla and forward starting option prices as well as a formula for the slope of the implied volatility … volatility swaps and other volatility derivatives are given as a one-dimensional integral of an explicit function. Analytically …

We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full … interest rate by a stochastic volatility displaced-diffusion Libor Market Model [AA02], which can model an interest rate smile …

We define an equity-interest rate hybrid model in which the equity part is driven by the Heston stochastic volatility … [Hes93], and the interest rate (IR) is generated by the displaced-diffusion stochastic volatility Libor Market Model [AA02 …

Volatility and Stochastic Interest rates. In this paper, we examine the combine effect of a Heston-type model for the underlying … see that stochastic volatility and stochastic interest rates have an impact on the resulting fair value of the contract … and the resulting fair fee as well as mainly on the vega hedge. Interestingly, using a stochastic volatility model leads …