Description: In this paper, we introduce a family of leptokurtic symmetric distributions represented by the difference of two gamma variates. Properties of this family are discussed. The Laplace, sums of Laplace and normal distributions all arise as special cases of this family. We propose a two-step method for fitting data to this family. We develop a statistical test for goodness-of-fit and introduce a test of normality of the data. A simulation study is provided to illustrate the theory.

Description: Within this paper, we take an applied approach to examine the economics of ERM. We provide readers with a series of economically based warning signs that might signify significant changes in asset prices. These warning signs are based on the economic concepts of elasticity of demand, elasticity of supply and herd behavior. Our recommendations provide practical guidance to directors, executives and practitioners regarding ways in which they can mitigate risks in today’s volatile environment. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.