We propose a new accurate method for pricing European spread options by extending the lower bound approximation of Bjerksund and Stensland (2011) beyond the classical Black-Scholes framework. This is possible via a procedure requiring a univariate Fourier inversion. In addition, we are also able...

In this article, we show how to calibrate the widely-used SVI parameterization of the implied volatility smile in such a way as to guarantee the absence of static arbitrage. In particular, we exhibit a large class of arbitrage-free SVI volatility surfaces with a simple closed-form...

This paper considers the problem of European option pricing in the presence of proportional transaction costs when the price of the underlying follows a jump diffusion process. Using an approach that is based on maximization of the expected utility of terminal wealth, we transform the option...

In reaction to the well-known stylized facts observed in market data for stocks and options, a multitude of option pricing models beyond Black-Scholes (BS) have been developed relaxing the strict BS assumptions. While these models by construction outperform the BS model in terms of fitting...

This paper derives explicit expressions to simulate theta and gamma for American options using the pathwise derivative method. While the pathwise derivative formulas for delta, rho, and vega of American options have been studied in the literature, no correct explicit results for theta and gamma...

We examine the distribution of realized Bitcoin daily log-returns and find significantly-thin tails. From there we construct a simple connection back to traditional volatility modelling. And then we discuss how this connection can serve as a foundation to leverage existing derivative quant...

The article describes a global and arbitrage-free parametrization of the eSSVI surfaces introduced by Hendriks and Martini in 2019. A robust calibration of such surfaces has already been proposed by the quantitative research team at Zeliade in 2019, but it is sequential in expiries and lacks of...

If a discretely formulated asset pricing model rivals efficacy of the Black and Scholes (1973) option pricing model, with canonical properties of option prices satisfied, rather counterfactually it spans a support space for call option prices that is continuous. Absent any directness of modeling...

This paper is an overview of empirical options research, with primary emphasis on research into systematic stochastic volatility and jump risks relevant for pricing stock index options. The paper reviews evidence from time series analysis, option prices and option price evolution regarding those...

We show that a dynamic model of investment and capital structure choices, where the firm faces real and financial frictions, can generate option prices and implied volatilities that are in line with those of the average optionable stock. As the balance between the fundamental economic forces...