We consider the subject of approximating tail probabilities in the general compound renewal process framework, where severity data are assumed to follow a heavy-tailed law (in that only the first moment is assumed to exist). By using weak convergence of compound renewal processes to Lévy...

We demonstrate that the parameters controlling skewness and kurtosis in popular equity return models estimated at daily frequency can be obtained almost as precisely as if volatility is observable by simply incorporating the strong information content of realized volatility measures extracted...

This paper investigates the link between economic state and investment levels in an economy within the premise of a partial equilibrium econometric setup based on the central philosophies of production-based asset pricing model and economic tracking portfolio models. By employing a simple linear...

This paper addresses questions regarding the dimensionality of the stochastic discount factor and the selection of the best factors that enter it. We analyze these questions theoretically and empirically with a novel methodology which performs both (i) estimation of factor loadings and (ii) best...

This paper considers a paradigm financial markets trades booking and valuation, data subscription and portfolio revaluation system. Traded instruments covered include: spot and forward exchange rates (FX); credit default swaps (CDS); total return swaps (TRS); commodity and bond futures; traded...

One of the consequences of the Capital Asset Pricing Model (CAPM) is that the expected excess return of a financial instrument is proportional to the expected excess market return. The proportionality constant, called the instrument's beta, is the coefficient in the linear least-squares fit of...

We propose a consistent and computationally efficient 2-step methodology for the estimation of multidimensional non-Gaussian asset models built using Lévy processes. The proposed framework allows for dependence between assets and different tail-behaviors and jump structures for each asset. Our...

Robust estimation techniques based on symmetric probability distributions are often substituted for OLS to obtain efficient regression parameters with thick-tail distributed data. The empirical, simulation and theoretical results in this paper show that with skewed distributed data, symmetric...

We provide a data-driven adjustment for estimated betas that leads to material improvements in the accuracy of weights and risk forecasts for minimum variance portfolios. Like the widely used Blume 2/3 rule and Vasicek correction developed in the 1970s, our beta adjustment operates by shrinking...

This paper presents an extension of the Capital Assets Pricing Model (hereafter CAPM) where various utility functions are applied. Specifically, we propose an overall CAPM beta that accounts for the higher order moments and reflects the investor preferences and attitudes toward risk. We...