We study the real-time characteristics and drivers of jumps in option prices. To this end, we employ high frequency data from the 24-hour E-mini S&P 500 options market. We find that option prices do not jump simultaneously across strikes and maturities and are uncorrelated with jumps in the...

We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of exotic cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel pricing of long-dated foreign exchange (FX)...

We investigate the effect of including variance derivatives as calibration and hedging instruments for pricing and hedging exotic structures. This is studied empirically using market data for SPX and VIX derivatives applied in a stochastic volatility jump diffusion model

Financial markets exhibit high levels of volatility. Volatile markets are usually associated with high risks and uncertain investment returns. Financial institutions therefore, usually opt to hedge their investment portfolios against the high volatility using a suitable hedging structure. One...

Abstract Using the joint characteristic function of equity price and state variables, we can price contingent claims on both equity and VIX consistently. Based on linear approximation of jump size, we show that one factor models implies all VIX future contract of different maturities are...

Empirical evidence shows that, in equity options markets, the slope of the skew is largely independent of the volatility level. Single-factor stochastic volatility models are not flexible enough to account for the stochastic behavior of the skew. On the other hand, multifactor stochastic...

In this article we define a multi-factor equity-interest rate hybrid model with non-zero correlation between the stock and interest rate. The equity part is modeled by the Heston model [Heston-1993] and we use a Gaussian multi-factor short rate process [Brigo,Mercurio-2007; Hull-2006]. By...

This paper proposes a new collection of affine jump-diffusion models for the valuation of VIX derivatives. The models have two distinctive features. First, we allow for a positive correlation between changes in the VIX and in its stochastic volatility to accommodate asymmetric volatility....

We propose and study a flexible modeling framework for the joint dynamics of an index and a set of forward variance swap rates written on this index, allowing options on forward variance swaps and options on the underlying index to be priced consistently. Our model reproduces various empirically...

In this paper we develop a fast yet accurate formula for pricing CMS spread options in a popular class of Libor market models with stochastic volatility. This formula makes it feasible to include quoted CMS spread option prices in the general calibration procedure and by this means to recover...