We conduct a comprehensive analysis of unspanned stochastic volatility in commodity markets in general and the crude-oil market in particular. We present model-free results that strongly suggest the presence of unspanned stochastic volatility in the crude-oil market. We then develop a tractable...

This paper develops a model for valuing options on a currency which is maintained within a band. The starting point of our model is the well known Krugman model for exchange-rate behavior within a target zone. Results from model runs provide insight into evidence reported by other authors of...

This paper extends the Krugman target zone model by including a realignment mechanism. Various properties of that realignment mechanism are discussed. The movement of the exchange rate is governed both by a Wiener process on fundamental and by a Poisson jump process with endogenous realignment...