In empirical modeling, there have been two strands for pricing in the options literature, namely the parametric and nonparametric models. Often, the support for the nonparametric methods is based on a benchmark such as theBlack-Scholes model with constant volatility. In this paper, we examine...

Option prices embed predictive content for the outcomes of pending mergers and acquisitions. This is particularly important in merger arbitrage, where deal failure is a key risk. In this paper, I propose a dynamic asset pricing model that exploits the joint information in target stock and option...

For the first time, a framework is introduced that allows for a real options analysis to be performed in an EVA/MVA-embedded binomial tree. This framework enhances traditional EVA/MVA analysis so that it can capture the additional value generated through strategic decision making during a...

We present a scheme for pricing derivatives on M assets on K-factor recombining trees with N periods. The computational complexity of these trees is O(NK 1), i.e. polynomial in N, making it possible to price a wide range of derivatives without resorting to Monte Carlo simulation. Numerical...

SABR stochastic volatility model is appealing for modeling smile and skew of option prices. Hagan, who first proposed this model, derived a closed form approximation for european options and showed that it provides consistent and stable hedges. Here I prove a new exact closed formula for the...

We derive explicit formulas for pricing double (single) barrier and touch options with time-dependent rebates assuming that the asset price follows a double-exponential jump diffusion process. We also consider incorporating time-dependent volatility. Assuming risk-neutrality, the value of a...

This paper discusses European option pricing under various discontinuous conditions: option and underlying prices as well as volatility and drift coefficients experience breaks. We consider vanilla and double-barrier options under double-exponential jump diffusion model with jump drift and jump...

We first discuss the positive volatility skew observed in the implied volatilities of VIX options. To model this feature, we apply the square root stochastic variance model with variance jumps for the evolution of the S&P500 index volatility. Then we develop a robust method for unified pricing...

We present two robust extensions of the CreditGrades model: the first one assumes that the variance of returns on the firm's assets is stochastic, and the second one assumes that the firm's asset value process follows a double-exponential jump-diffusion. We derive closed-form formulas for...

We employ a refined tree method to value employee stock options (ESOs) in the stochastic volatility model of Heston. Our setting covers risk-averse employees maximizing expected utility where we in particular focus on subjective option valuation, personal market beliefs and stochastic...