The risk conscious investor is defined as the maximizer of a conservative valuation or dynamically a nonlinear expectation. Both the static and dynamic problems are addressed using distortions of tail probabilities or distortions of tail measures. The multivariate static problem is solved in the...

We consider the problem of optimal investment in a risky asset, and in derivatives written on the price process of this asset, when the underlying asset price process is a pure jump Lévy process. The duality approach of Karatzas and Shreve is used to derive the optimal consumption and...

We consider the problem of optimal investment in a risky asset, and in derivatives written on the price process of this asset, when the underlying asset price process is a pure jump Levy process. The duality approach of Karatzas and Shreve is used to derive the optimal consumption and investment...

In general, individuals will be interested in consumption of goods with “original”prices denominated in various currencies. Traditional risk management is nominally orientedand typically neglects this differentiated consumption preferences of investors. We outline therelevance of a consumption...

Despite a considerable premium on equity with respect to risk free assets, many households do not own stocks. We ask why the prevalence of stockholding is so limited. We focus on individuals' attitudes towards risk and identify relevant factors that affect the willingness to take financial...

Allowing for correlated squared returns across two consecutive periods, portfolio theory for two periods is developed. This correlation makes it necessary to work with non-Gaussian models. The two period conic portfolio problem is formulated and implemented. This development leads to a mean ask...

Two price economy principles motivate measuring risk by the cost of acquiring the opposite of the centered or pure risk position at its upper price. Asymmetry in returns leads to differences in risk charges for short and long positions. Short risk charges dominate long ones when the upper tail...

This paper studies the restrictions on consumption, portfolio choice, and social discounting implied by a sustainability constraint, that utility should not be expected to decline over time, in an economy with risky investment opportunities. The sustainability constraint does not distort...

A portfolio diversification index is defined as the ratio of an equivalent number of independent assets to the number of assets. The equivalence is based on either attaining the same diversification benefit or spread reduction. The diversification benefit is the difference in value of a value...

We use data on Indian stock portfolios to show that return heterogeneity is the primary contributor to increasing inequality of wealth held in risky assets by Indian individual investors. Return heterogeneity increases equity wealth inequality through two main channels, both of which are related...