Countless test statistics can be written as quadratic forms in certain random vectors, or ratios thereof. Consequently, their distribution has received considerable attention in the literature. Except for a few special cases, no closed-form expression for the cdf exists, and one resorts to...

We derive formulae for the higher order tail moments of the lower truncated multivariate standard normal (MVSN), Student's t, lognormal and a finite-mixture of multivariate normal distributions (FMVN). For the MVSN we propose a recursive formula for moments of arbitrary order as a generalization...

Implicit in interest rate derivatives are Arrow-Debreu prices (or state price densities, SPDs) that contain fundamental information for risk and portfolio management in interest rate markets. To extract such information from interest rate derivatives, we propose a non-parametric method to...

Even though a multi-factor linear asset pricing model can be equivalently represented in a Beta or in a stochastic discount factor (SDF) form, its inferential efficiency and pricing accuracy features may differ when estimated by the generalized method of moments (GMM), both in small and in large...

We review the literature about the use of third- and fourth-order moments in finance, the main papers on asset pricing theory with higher-order moments, and the definitions of skewness and kurtosis in the statistical literature. Contagion, skewness and kurtosis investor preferences, and tail...

We estimate the personal communication risk-premium profile of the U.S. Federal Reserve(Fed) Chair by measuring a new dataset of the sentiment revealed by their public statements during their tenure. We analyze the impact of such Fed communications’ sentiment risk on the uncertainty of the...