Dynamic Asset Allocation with Regime Shifts and Long Horizon CVaR-Constraints

Huy Thanh Vo and Raimond Maurer

Abstract — We analyse portfolio policies for investors who invest optimally for given investment horizons with respect to Conditional Value-at-Risk constraints. We account for nonnormally distributed, skewed, and leptokurtic asset return distributions due to regime shifts. The focus is on standard CRRA utility with a money back guarantee at maturity, which is often augmented to individual retirement plans. Optimal solutions for the unconstrained as well as the constrained policy are provided and examined for risk management costs calculated as welfare losses. Our results confirm previous findings that money back guarantees yield mild downside protection at low economic costs for most long term investors.