Asymmetric volatility concerns the relation of returns to future expected volatility. Much is known from option prices about the marginal risk-neutral distributions of S&P 500 returns and of relative changes in future expected volatility (VIX). While the bivariate risk-neutral distribution...

This paper proposes a novel approach for pricing discretely monitored multi-asset barrier options and computing joint survival probability in multivariate exponential Levy asset price models. We calculate the Fourier transform of appropriately dampened value functions recursively using...

We use the informational content of VIX derivatives to infer implications on the non-affine modeling of the stock returns' variance dynamics. We find that both a non-affine diffusion and variance jumps are necessary to capture the short- and long-term implied volatility distribution. In- and...

Computing Standardized Initial Margin Model Margin Valuation Adjustment (SIMM-MVA) requires the simulation of future sensitivities, but these are expensive to compute for callable products. This paper introduces a method which avoids nested calls to the pricing function, similar to the use of...

Risk premia are related to price probability ratios or for continuous time pure jump processes the ratios of jump arrival rates under the pricing and physical measures. The variance gamma model is employed to synthesize densities with risk premia seen as the ratio of the three parameters. The...

The pricing of vanilla options on underliers with cash dividends is a surprisingly contentious and active research subject, for both European or American exercise style. Neither on the listed options side (calls and puts) nor on the flow/structured side of longer-term vanillas or light exotics...

Exceptional accuracy and speed for option pricing are available via quadrature (Andricopoulos, Widdicks, Duck, and Newton, 2003), extending into multiple dimensions with complex path-dependency and early exercise (Andricopoulos, Widdicks, Newton, and Duck, 2007). However, the exposition is...

We derive the valuation formula of a European call option on the spread of two cointegrated commodity prices, based on the GSC (Gibson-Schwartz with cointegration) model. We also analyze the American commodity spread option including the early exercise premium representation and an analytical...

A risk-neutral probability distribution (RND) for future S&P 500 returns extracted from index options contains investors' true expectations and also their risk preferences. But the empirical pricing kernel that emerges in a representative agent framework, which suppresses investor differences,...

We show that options written on stocks with low prices are over-priced. This effect is robust to a variety of tests, controlling for common stock- and option- risk characteristics, and to reasonable transaction costs. Natural experiments corroborate this finding; options tend to become...