This paper introduces the Inverse Gamma (IGa) stochastic volatility model with time-dependent parameters, defined by the volatility dynamics dVt = κt.(θt − Vt).dt λt.Vt.dBt. This non-affine model is much more realistic than classical affine models like the Heston stochastic volatility...

The importance of collateralization through the change of funding cost is now well recognized among practitioners. In this article, we have extended the previous studies of collateralized derivative pricing to more generic situation, that is asymmetric and imperfect collateralization with the...

We conduct an empirical evaluation of a static super-replicating hedge of barrier options. The hedge is robust to uncertainty about the future skew. Using almost seven years of current data on the DAX, we evaluate the performance of the hedge and compare it with those of both a dynamic and a...

Time dependent barrier options have barrier periods covering a portion of option life. This feature makes them hybrids of barrier options and ordinary European options. There are two types of time dependent barrier options: 1. front end barrier options; 2. rear end barrier options. The options...

We establish general theory of foreign exchange derivatives (FXD), for multidimensional, possibly incomplete, Itô SDE market/econometric models. The established theory is consistent with the one of foreign exchange rates (FXR) introduced by the author in a previous note. A very simple example...

This paper provides a number of relevant guidelines to build a consistent Volatility Smile accounting for the FX market conventions. This consistency is understood as fitting a model which is able to price vanilla options across all possible strikes given the knowledge of a few market...

This paper considers recent derivatives mismarking cases from Bacon 1996 and Truelove and Steel 1997 through to Piper 2009 and Montserret 2009. The behavioural, institutional, risk-reward and regulatory drivers of these cases are reviewed as well as associated derivatives mismarking techniques...

The currency options markets, both the dollar denominated options markets and the cross-currency options markets, carry important economic information about the evolution of exchange rates and the pricing of risk. However, it is challenging to integrate all this information together. This paper...