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...

We show that the slight possibility of a macroeconomic disaster of moderate magnitude can explain important features across credit, option, and equity markets. Our consumption-based equilibrium model captures the empirical level and volatility of credit spreads, generates a flexible credit term...

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...

We analyse the Galerkin Infinite Element method for pricing European barrier options and, more generally, options with discontinuous payoff. The Infinite Element method is a very simple and efficient modification of the more common Finite Element method. It keeps the best features of Finite...

We study 70 different lattice implementations, which include a new tree capable of node adjustment and the use of a new barrier hitting probability modification, to investigate the speed of convergence for pricing American barrier options numerically. The models are assessed for both...

The contracts written on the harmonic average of the underlying price are quite popular in the foreign exchange market. If X denotes the foreign currency and Y denotes the domestic currency, the payoff of the contract is a function of a price of an asset H which is defined asH(T) =...

Recent results for pricing American options based on Mellin transforms are used to derive several approximations for the critical stock price of a finite-living American option. We prove important theoretical properties of the derived approximations and compare our results to other approaches...

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 note we discuss and summarize the valuation methodology for Double barrier Cash or Nothing Options. We start off by briefly defining vanilla binary options and ordinary and double barrier options. We then move on to the valuation and price dynamics of the option at hand. After that we...