We propose new measures of both risk and anticipated return that incorporate the effects of skewness and heavy tails from a financial return’s probability distribution. Our cosine-based analysis, which involves maximizing the marginal Shannon information associated with the Fourier transform...

We pursue two interrelated lines of thought. The first is a conceptual arc from (a) consideration of the unique characteristics of insurance risk, to (b) the quantification of this risk through risk measures, to (c) the application of these concepts to problems of allocating capital within an...