We explain the valuation and correlation hedging of Foreign Exchange Basket Options in a multi-dimensional Black-Scholes model that allows including the smile. The technique presented is a fast analytic approximation to an accurate solution of the valuation problem.

Risk neutral densities (RND) can be used to forecast the price of the underlying basis for the option, or it may be used to price other derivates based on the same sequence. The method adopted in this paper to calculate the RND is to firts estimate daily the diffusion process of the underlying...

Risk neutral densities (RND) can be used to forecast the price of the underlying basis for the option, or it may be used to price other derivates based on the same sequence. The method adopted in this paper to calculate the RND is to firts estimate daily the diffusion process of the underlying...

We develop a novel financial market model in which the stock markets of two countries are linked via and with the foreign exchange market. To be precise, there are domestic and foreign speculators in each of the two stock markets which rely either on linear technical or linear fundamental...

The credit valuation adjustment (CVA) of OTC derivatives is an important part of the Basel III credit risk capital requirements and current accounting rules. Its calculation is not an easy task - not only it is necessary to model the future value of the derivative, but also the probability of...

The computation of Greeks is a fundamental task for risk managing of financial instruments. The standard approach to their numerical evaluation is via finite differences. Most exotic derivatives are priced via Monte Carlo simulation: in these cases, it is hard to find a fast and accurate...

I show that an asset pricing model for the equity claims of a value-maximizing firm can be constructed from its optimal financial contracting behavior. I study a dynamic contracting model in which firms trade off the costs and benefits of a given promise to pay external lenders in a specific...

We present Algorithmic Adjoint Differentiation (AAD), also known as Automatic Adjoint Differentiation, which computes the derivative(s) of computer code. In finance this leads to a relatively new and novel approach, pioneered by (Giles and Glasserman, 2006), to compute financial risks. When...

In this paper, I introduce the modeling of currency returns conditional on the interest rate differential and the real exchange rate under the assumption that FX returns are skew-t distributed. Beyond the well-known relationship between the currency risk premium and its risk factors, I document...

If a firm invoices a transaction in a foreign currency, a delay of payment between the transaction date and the settlement date exposes the firm to exchange rate risk. In their income statements, firms report such exchange rate gains and losses, signaling their exposure to currency risk. Using...