We develop a new goodness-of-fit test for validating the performance of probability forecasts. Our test statistic is particularly powerful under sparseness and dependence in the observed data. To build our test statistic, we start from a formal definition of calibrated forecasts, which we...

From a large array of economic and financial data series, this paper identifies three fundamental risk dimensions underlying an economy: inflation, real output growth, and financial market volatility. Furthermore, through a no-arbitrage model, the paper links the dynamics and market pricing of...

We exploit the information in the options market to study the variations of return risk and market prices of different sources of risk during the rise and fall of the Nasdaq market. We specify a model that accommodates fluctuations in both risk levels and market prices of different sources of...