We study the local volatility function in the Foreign Exchange market where both domestic and foreign interest rates are stochastic. This model is suitable to price long-dated FX derivatives. We derive the local volatility function and obtain several results that can be used for the calibration...

We consider the standard discrete-time model of a frictionless financial market and show that the law of one price holds if and only if there exists a martingale density process with strictly positive initial value. In contrast to the classical no-arbitrage criteria, this density process may...

Using an international Thomson Reuters Datastream database, where size coverage is unusually wide and data errors have been reduced to a low level, we show that some specification decisions, and especially those related to size, may have a significant impact on asset-pricing test results. We...