We present the first step in a program to develop a comprehensive, unified equilibrium theory of asset and liability pricing. We give a mathematical framework for pricing insurance products in a multiperiod financial market. This framework reflects classical economic principles (like utility...

Modern portfolio theory produces optimal portfolios from estimates of expected returns and a covariance matrix. Such optimal portfolios are efficient portfolios, that is they provide the maximum level of expected return for a given level of risk. We present a method for portfolio selection based...

A new relationship is derived for net present value (NPV) per dollar invested that is composed entirely of interest rates. The rates are mark-ups to the cost of capital, each mark-up being an internal rate of return (IRR) embedded in the complex plane. The result has been shown before, but only...

Aumann and Serrano (2008) introduce the index of riskiness to quantify the risk of a gamble. We discuss for which gambles this index of riskiness exists by considering the acceptance behavior of CARA-agents. Since for several relevant distributions riskiness is not defined, we suggest an...

In this paper we update our 2006 white paper ldquo;A Quantitative Approach to Tactical Asset Allocationrdquo; with new data from the 2008-2012 period. How well did the purpose of the original paper ndash; to present a simple quantitative method that improves the risk-adjusted returns across...

Enhanced active equity strategies, including 120-20 and 130-30 long-short portfolios, have become increasingly popular as managers and investors search for new ways to expand the alpha opportunities available from active management. But these strategies are not always well understood by the...

Var is perhaps the most commonly used measure of risk by financial institutions. At many of these the head of risk management gets a daily report on firm-wide Var as well disaggregated Var across the firm's businesses. Often chief risk manager (CRM) is a top level officer in many financial...

This study establishes necessary conditions for Almost Stochastic Dominance criteria of various orders. These conditions take the form of restrictions on algebraic combinations of moments of the probability distributions in question. The relevant set of conditions depends on the relevant order...

Consider an agent who holds a stock, but is allowed to buy and hold some quantity of at-the-money put options on the stock. Such an agent must decide the optimal use of financial derivatives under trade restrictions. This paper uses simulation to compare the optimal quantity when the agent...

In this paper, we analyze the impacts of joint energy and output prices uncertainties on the inputs demands in a mean-variance framework. We find that an increase in expected output price will surely cause the risk averse firm to increase the inputs’ demand, while an increase in expected...