We propose a widely applicable bootstrap based test of the null hypothesis of equality of two firms' Risk Measures (RMs) at a single point in time. The test can be applied to any market-based measure. In an iterative procedure, we can identify a complete grouped ranking of the RMs, with...

An estimator of the ex-post covariation of log-prices under asynchronicity and microstructure noise is proposed. It uses the Cholesky factorization of the covariance matrix in order to exploit the heterogeneity in trading intensities to estimate the different parameters sequentially with as many...

Pension funds and life insurers face interest rate risk arising from the duration mismatch of their assets and liabilities. With the aim of hedging long-term liabilities, we estimate variations of a Nelson-Siegel model using swap returns with maturities up to 50 years. We consider versions with...

We propose new refined measures of the local covariation between the return on an asset and a risk factor. Our proposed "granular betas" generalize the notion of up- and down-side betas to multi-factor functional measures of covariation. We then show how the resulting granular beta functions may...