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 study the pricing of contracts in fixed income markets in the presence of volatility uncertainty. We consider an … arbitrage-free bond market under volatility uncertainty. The uncertainty about the volatility is modeled by a G-Brownian motion … traditional models with the highest and lowest possible volatility. Due to these pricing formulas, the model naturally exhibits …

volatilities and correlations, as for instance witnessed after the crash. The analytical derivative prices facilitate the …

terms of a single perpetual-bond equivalent issue, we define leverage, show the stochastic nature of equity volatility and … the leverage parameter L and make use of the univariate normal distribution function, are consistent with the volatility …