Option prices seem to behave in ways inconsistent with the Black-Scholes model. Implied volatility varies with the strike price in a parabolic shape that is often called the volatility 'smile.' My objective in this paper is to identify implied probability distributions that might explain this...

The effects of a currency crisis on a country's economy depend on non-linear relations among several variables that characterize the economic, financial, legal, and socio-political structure of the country at the onset of the crisis. Those effects can be associated with contractions or...