Assuming elliptically contoured distribution for portfolio asset returns, we derive the exact marginal and joint densities of the global minimum variance portfolio variance, and weights estimators. We also construct a test for the hypothesis that the global minimum variance is less then or equal to a certain value. A stochastic representation and moments of its estimator is provided. We illustr...

Abstract Many financial instruments are designed with embedded leverage, such as options and leveraged exchange-traded funds (ETFs). Embedded leverage alleviates investors’ constraints, and, therefore, we hypothesize that lowers required returns. Consistent this hypothesis, find empirically ETFs provide significant amounts of leverage; increases return volatility in proportion to the higher is ...

This paper uses Hansen and Jagannathan’s (1991) volatility bounds to evaluate models with idiosyncratic consumption risk. I show that idiosyncratic risk does not change the volatility bounds at all when consumers have CRRA preferences and the distribution of the idiosyncratic shock is independent of the aggregate state. Following Mankiw (1986), I then show that idiosyncratic risk can help to en...

The downside risk CAPM (DR-CAPM) can price the cross section of currency returns. The market-beta differential between high and low interest rate currencies is higher conditional on bad market returns, when the market price of risk is also high, than it is conditional on good market returns. Correctly accounting for this variation is crucial for the empirical performance of the model. The DR-CA...

Assumptions about the dynamic and distributional behavior of risk factors are crucial for the construction of optimal portfolios and for risk assessment. Although asset returns are generally characterized by conditionally varying volatilities and fat tails, the normal distribution with constant variance continues to be the standard framework in portfolio management. Here we propose a practical ...

Tobin (1958) has argued that in the face of potential capital losses on bonds it is reasonable to hold cash as a means to transfer wealth over time. It is shown that this assertion cannot be sustained taking into account the evolution of wealth of cash holders versus non cash holders. Cash holders will be driven out of the market in the long run by traders who only use a (risky) long-lived asse...

Tobin (1958) has argued that in the face of potential capital losses on bonds it is reasonable to hold cash as a means to transfer wealth over time. It is shown that this assertion cannot be sustained taking into account the evolution of wealth of cash holders versus non cash holders. Cash holders will be driven out of the market in the long run by traders who only use a (risky) long-lived asse...

The purpose of this paper is to suggest a new theory of portfolio selection which is based on evolutionary reasoning in simple repeated market situations. According to this new point of view the ultimate success of a portfolio strategy is measured by the wealth share the strategy is eventually able to conquer in an evolutionary process of market selection. We identify a simple portfolio strateg...

Article history: Received 5 August 2012 Accepted 26 August 2012 Available online 7 September 2012 This paper investigates the effect of house money on the risk taking behavior of individual investors. When gains are more substantial, individuals tend to take greater risk. The house money effect seems to decline over time because the propensity for risk taking following gains is diminished with ...