This paper finds out that the risk exposure of a trader subject to a VaR limit is always lower than that of an unconstrained trader and that the probability of extreme losses is also lower.

We present a geometric approach to discrete time multiperiod mean variance portfolio opti-mization that largely simplifies the mathematical analysis and the economic interpretation of such model settings. We show that multiperiod mean variance optimal policies can be decom-posed in an orthogonal...

This paper proposes and tests a model of firm valuation under incompleteinformation that explains the ambiguous relation between idiosyncratic volatilityand stock returns. Specifically, we show that, when investors have incompleteinformation, expected returns as measured by an econometrician...

Starting from the Merton framework for firm defaults, we provide theanalytics and robustness of the relationship between defaultprobabilities and default correlations. We show that loans with higherdefault probabilities will not only have higher variances but also highercorrelations with other...

In the standard real options approach to investment under uncertainty, agents formulate optimal policies under the assumptions of risk neutrality or perfect capital markets. However in most situations, corporate executives face incomplete markets either because they receive compensation packages...

In the standard real options approach to investment under uncertainty, agents formulate optimal policies under the assumptions of risk neutrality or perfect capital markets. Although the assumptions of risk neutrality or market completeness are crucial to the implications of the approach, they...

We develop a method that allows one to compute incomplete-market equilibria routinely forMarkovian equilibria (when they exist). The main difficulty to be overcome arises from the setof state variables. There are, of course, exogenous state variables driving the economy but, in anincomplete...