Despite its recent advent, value at risk (VaR) became the most widely used technique for measuring future expected risk for both financial and non-financial institutions. VaR, the measure of the worst expected loss over a given horizon at a given confidence level, depends crucially on the...

This paper analyses the risk and return of loans portfolios in a joint setting. I develop a model to obtain the distribution of loans returns. I use this model to describe the investment opportunity set of lenders using mean-variance analysis with a Value at Risk constraint. I also obtain closed...

Value at Risk and the Expected Shortfall are two measurements of market risks for financial assets. Statistically, they are extreme quantiles of the distribution of financial log returns. Though financial log return data are usually both heteroscedastic and fatter-tailed, most of the existing...

Economics