Optimal Illusions and Decisions under Risk

We examine a static one-risk-free-one-risky asset portfolio choice when the investor’s well-being is affected by the anticipatory feelings associated to potential capital gains and losses. These feelings can be manipulated by the choice of subjective beliefs on the distribution of returns. However, the bias of these endogenous subjective beliefs induces the choice of a portfolio that is suboptimal with respect to the objective expected utility of final wealth. We characterize the structure of these optimal beliefs. We first show that optimal subjective beliefs must be degenerated with only two possible returns. Moreover, under some weak conditions on the utility function, these two atoms are at the lower and upper bounds of the objectively feasible returns. When the intensity of anticipatory feelings is small, the formation of beliefs must be biased in favor of optimism, which implies an increase in the equilibrium demand for the risky asset. We also show that the optimal beliefs are approximately independent of the investor’s degree of risk aversion.anticipatory feelings, portfolio choice, overconfidence, positive thinking, endogenous beliefs

The Consumption-Based Determinants of the Term Structure of Discount Rates

The efficient rate of return of a zero-coupon bond with maturity t is determined by our expectations about the mean (+), variance (-) and skewness (+) of the growth of aggregate consumption between 0 and t . The shape of the yield curve is thus determined by how these moments vary with t . We first examine growth processes in which a higher past economic growth yields a first-degree dominant shift in the distribution of the future economic growth, as assumed for example by Vasicek (1977). We show that when the growth process exhibits such a positive serial correlation, then the yield curve is decreasing if the representative agent is prudent ( u''' > 0), because of the increased risk that it yields for the distant future. A similar definition is proposed for the concept of second-degree stochastic correlation, as observed for example in the Cox-Ingersoll-Ross model, with the opposite comparative static property holding under temperance ( u''''stochastic dominance, yield curve, far distant future, cost-benefit analysis, prudence, temperance, downside risk

Some Aspects of the Economics of Catastrophe Risk Insurance

The ability to share risk efficiently in the economy is essential to welfare and growth. However, the increased frequency of natural catastrophes over the last decade has raised once again questions associated to the limits of insurability in a free-market economy, and to the relevance of public interventions on risk-sharing markets. In this paper, we explore the potential reasons for the lack of insurance specifically associated to catastrophe environmental risks. Our final aim is to link each source of possible market inefficiency to its possible remedies.