Stock Market Mean Reversion and the Optimal Equity Allocation of a Long-Lived Investor

This paper solves numerically the intertemporalconsumption and portfolio choiceproblem of an infinitely-lived investor whofaces a time-varying equity premium.The solutions we obtain are very similarto the approximate analytical solutionsof Campbell and Viceira (1999), except atthe upper extreme of the state spacewhere both the numerical consumption andportfolio rules flatten out.We also consider a constrained version ofthe problem in which the investor facesborrowing and short-sales restrictions.These constraints bind when the equitypremium moves away from its mean in eitherdirection, and are particularly severe forrisk-tolerant investors. The constraints havesubstantial effects on optimalconsumption, but much more modest effects onoptimal portfolio choice in theregion of the state space where they are notbinding.     

Stocks for the long run? Evidence from emerging markets

We estimate the myopic (single-period) and intertemporal hedging (long-run) demand for stocks in 20 growth-leading emerging market economies during the 1999–2012 period. We consider two types of investors: a domestic investor who invests in emerging-market assets only (with returns in local currency) and an international investor who invests in both US and emerging-market assets (with returns in US dollars). We establish economically relevant short-run and long-run demand for stocks in several emerging market economies, for both domestic and international investors. From a welfare perspective, however, the myopic demand for emerging-market stocks is much more important than the hedging demand. Further international diversification and foreign currency hedging by the international investor do not alter this conclusion. Hence, for both domestic and international investors emerging-market stocks are mainly assets for the short run.     

Local Expected Shortfall-Hedging in Discrete Time

This paper proposes a self-financing trading strategy that minimizes theexpected shortfall locally when hedging a European contingentclaim. A positive shortfall occurs if the hedger is not willing to follow a perfect hedging or a superhedging strategy. In contrast to the classicalvariance criterion, the expected shortfall criterion dependsonly on undesirable outcomes where the terminal value of the writtenoption exceeds the terminal value of the hedgeportfolio. Searching a strategy which minimizes the expected shortfallis equivalent to the iterative solution of linear programs whosenumber increases exponentially with respect to the number of tradingdates. Therefore, we partition this complex overall problem intoseveral one-period problems and minimize the expected shortfall onlylocally, i.e., only over the next trading period. This approximation is quite accurate and the number of linear programs to be solved increases only linearly with respect to the number of trading dates.     

On the nature of mean-variance spanning

Asset spanning tests are very useful tools for the determination of which asset classes belong to an investor's portfolio. There are numerous applications of such tools in the finance literature. What is not so obvious is the proper decision an investor should make if the extra asset classes are spanned by some existing assets. Should the investor make a conscious decision not to invest in them as they add no value? Should the investor invest in them anyway as they do no harm? This study provides an analytical solution to the puzzle and also offers an economic rationale.     

Hedging Corporate Bonds

We examine Treasury bond and stock index futures, the swap curve and two types of hypothetical corporate bond assets as alternative hedging instruments for portfolios of corporate bonds. Conducting ex post and ex ante tests we find evidence that credit quality and maturity are important sources of basis risk when hedging corporate bonds whose credit rating are below triple A. We conclude that a new corporate hedging instrument may be useful for those wishing to hedge corporate bond portfolios provided that transaction costs are not too high relative to existing futures contracts.     

The effect of regulation on optimal corporate pension risk

We study firms' pension prefunding and portfolio allocation choices in a model in which firms trade off the need to compensate workers for the financial risk in their pension benefit against the cost advantage that may be gained by exploiting underpriced pension insurance. In the absence of pension insurance, the firm minimizes costs by rendering promised benefits free of risk to workers, who are assumed to be unable to hedge firm-specific risk. Various forms of government intervention, such as benefit guarantees, can alter this outcome dramatically by providing the firm with an incentive to shift risk to other parties. In this case, we find that the firm's decisions depend on, among other influences, the degree of insurance mispricing, the amount of guaranteed benefits, the stringency of minimum funding requirements, and the costs of financial distress.