Options depending on the forward skew are very popular. One such option is the forward starting call option - the basic building block of a cliquet option. Widely applied models to account for the forward skew dynamics to price such options include the Heston model, the Heston-Hull-White model...

This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...

For mean reverting base probabilities option pricing models are developed using an explicit measure change induced by the selection of a terminal time and a terminal random variable. The models employed are the square root process and an OU equation driven by centered variance gamma shocks. VIX...

In this article, we propose an equilibrium pricing rule for the contingent claims by applying the economic premium principle initiated by Buhlmann (1980). The derivative markets in our model are over-the-counter (OTC) markets and have counterparty risks. We reconstruct the economic premium...

We investigate credit value adjustments (CVAs) in the presence of wrong-way risk (WWR) by introducing jumps at default to model correlation between counterparty's default and relevant risk factors. We focus on the foreign-exchange and interest-rate cases, presenting efficient CVA approximations...

This article examines downside risk premiums using S&P 500 index (SPX) options. Portfolios are constructed using the index options to replicate the downside risk factors and their average excess returns provide estimates of downside risk premiums. We show that all the market risk premium comes...

In May of 1997, in the midst of the internet bubble, the average month end P/E ratio for the software industry was 44. However, the five year historical average was 31. In this study we examine the effect of this industry value fluctuation on the effects of option prices. We examine the...

We introduce skewed Lévy models, that have a symmetric jump measure multiplied by dumping exponential factor, in order to study the implied volatility smirk in Lévy markets. The dumping factor depends on a parameter beta, this results in a measure of the skewness of the model. We show that...

We estimate the size of the wildcard premium embedded in cash-settled American-style options. Similar to simulation results reported by Fleming and Whaley (1994), we find the wildcard premium significantly impacts the valuations of American-style put and call options. Furthermore, we find that...

We discuss the finding that cross-sectional characteristic based models have yielded portfolios with higher excess monthly returns but lower risk than their arbitrage pricing theory counterparts in an analysis of equity returns of stocks listed on the JSE. Under the assumption of general...