This paper examines two qualitative rules of thumb, frequently invoked in discussions of bank regulatory policy. The first, that equity holders prefer more risk to less, derives from a result in option pricing theory, that an option's value increases monotonically with the riskiness of the...

Cross-sections of option prices embed the risk-neutral probability densities functions (PDFs) for the future values of the underlying asset. Theory suggests that risk-neutral PDFs differ from market expectations due to risk premia. Using a utility function to adjust the risk-neutral PDF to...

This paper focuses on the recently developing financial derivatives markets, and examines the usefulness of option prices as an information variable for monetary policy implementation. A set of option prices provides us with information on the whole probability distribution of the future values...

Implied volatilities, as derived from option prices, have been shown to be useful in forecasting the subsequently observed volatility of the underlying financial variables. In this paper, we address the question of whether implied correlations, derived from options on the exchange rates in a...

This paper describes a set of indicators of systemic risk computed from current market prices of equity and equity index options. It displays results from a prototype version, computed daily from January 2006 to January 2013. The indicators represent a systemic risk event as the realization of...

We define the class of local Lévy processes. These are Lévy processes time changed by an inhomogeneous local speed function. The local speed function is a deterministic function of time and the level of the process itself. We show how to reverse engineer the local speed function from traded...

The word numéraire refers to the unit of measurement used to value a portfolio of assets. Thechange of numéraire technique involves converting from one measurement to another. Theforeign exchange markets are natural settings for interpreting this technique (but are by no meansthe only...