This paper deals with the valuation of European and American put options in jump diffusion models. A new integral transform framework for solving the partial integro-differential equation (PIDE) inherent in pricing problems is proposed. In the case of European options the solution is a single...

This study analyses the forecasting accuracy of the implied volatility of options on futures contracts for the delivery of CO2 emissions allowances (carbon options) traded on the European Climate Exchange. We demonstrate that option implied volatility is highly informative about the variance of...

Given a spread option with underlyings X,Y and a copula model, we construct explicitly payoff functions f and g such that all first order greeks of the spread option with respect to the marginal distributions are matched by those of the replication portfolio {f(X),g(Y)}.Standard replication...

Ever since Kirk proposed an approximate price formula for a European call spread option in 1995, Kirk's approximation has become the most widely used among the practitioners, especially in the energy markets. It is well known that Kirk's approximation extends from Margrabe's exchange option...

In this paper we consider the problem of pricing and hedging European derivatives written on two underlying assets, when individual marginal distributions are known. Our aim is twofold. First, we conduct a parallel analysis between implied volatility and implied correlation for spread options in...

We examine the impact of interest rates benchmark reform and upcoming Libor transition on options markets. We address various modelling challenges the transition brings. We specifically focus on the impact of the clearing houses' discounting switch on swaptions, and the consequences of Libor...

We provide the first formal investigation of the consequences of negative interest rates in the Eurozone on the pricing of interest rate options. Since the money market rates settled in negative territory and other market segments experienced negative yields, the broader financial community has...

This paper analyzes the effect of counterparty credit risk on optimal early exercise policy and value of American options. In contrast with the existing literature we find that the price of the underlying asset at which it is optimal to exercise an American option can be significantly different...

We investigate the optimal martingale transport problem under additional constraints and its application to robust price bounds for financial derivatives. More specifically, we derive improved price bounds by taking into account supplementary information about the variance of the returns on the...

This paper establishes the second-order convergence rates of the continuous-time Markov chain (CTMC) approximation method for pricing continuously monitored occupation time derivatives (step options, conditional Asian options) and arithmetic Asian options and their Greeks. We fill the gap in the...