In this paper, we show that the influential Merton jump diffusion model and formula are needlessly cumbersome. In doing so, we provide a simple, explicit formula that doesn't require a computational method. Furthermore, we introduce a new, simple method for solving partial...

The use of American style equity options as hedging instrument has gained currency in recent times. This phenomenon devolves from the ever-expanding need by individuals, corporations and governments to hedge away their financial risks and the clarion call for derivative securities that give the...

This paper studies optimal sovereign investment and resource allocation decisions in the presence of asset price discontinuities due to stochastic volatility and event related jump risks. We find that: (i) both volatility jumps and positive price jumps increase investment in commodities while...

The paper proposes a novel direction to rationalize and quantify investors' flipping behavior and its effect on underpricing in IPOs through the use of a structural approach mode. The outcome is a proxy value that replicates investors' flipping behavior. When tested empirically, the model...

In this paper, we present our study on using the GPU to accelerate the computation in pricing financial options. We first introduce the GPU programming and the SABR stochastic volatility model. We then discuss pricing options with quasi-Monte Carlo techniques under the SABR model. In particular,...

We develop the algorithmic approach for Counterparty exposure calculation and automate its application to arbitrary complicated instruments. Assuming that the portfolio is priced by the backward (American) Monte-Carlo method, our approach allows calculating the credit exposure as a pricing...

We build on of the work of Henry-Labordµere and Lewis on the small-time behaviour of the return distribution under a general local-stochastic volatility model with zero correlation. We do this using the Freidlin-Wentzell theory of large deviations for stochastic differential equations, and then...

Using the Gartner-Ellis theorem from large deviation theory, we characterize the leading-order behaviour of call option prices under the Heston model, in a new regime where the maturity is large and the log-moneyness is also proportional to the maturity. Using this result, we then derive the...

We show that if the discounted Stock price process is a continuous martingale, then there is a simple relationship linking the variance of the terminal Stock price and the variance of its arithmetic average. We use this to establish a model-independent upper bound for the price of a continuously...

In this paper we prove an approximate formula expressed in terms of elementary functions for the implied volatility in the Heston model. The formula consists of the constant and first order terms in the large maturity expansion of the implied volatility function. The proof is based on...