Volatilities -- Extensions of the Black-Scholes theory to other types of options (futures options, currency options, American options, path-dependent options, multi-asset options) -- Fundamentals: stochastic analysis and applications, interest rate dynamics, and basic principles of pricing...

Basic products and interest calculations -- Derivatives and trading in derivatives, basic concepts and strategies -- Basics of derivative valuation -- The Wiener Stock Price Model and the basic principles of Black-Scholes theory.

In the constant search for better models to help guide policy decisions, central banks have begun to use and develop dynamic stochastic general equilibrium (DSGE) models. Although such models were until recently considered theoretically sound but overly restrictive, newly developed methods have...

This paper proposes a method for constructing a volatility risk premium, or investor risk aversion, index. The method is intuitive and simple to implement, relying on the sample moments of the recently popularized model-free realized and option-implied volatility measures. A small-scale Monte...

This paper proposes a probabilistic approach to public debt sustainability analysis (DSA) using "fan charts." These depict the magnitude of risks-upside and downside-surrounding public debt projections as a result of uncertain economic conditions and policies. We propose a simulation algorithm...