R. Cumby et al., INTERNATIONAL ASSET ALLOCATION WITH TIME-VARYING RISK - AN ANALYSIS AND IMPLEMENTATION, Japan and the world economy, 6(1), 1994, pp. 1-25
This paper investigates the problem of optimally allocating funds in a
n investment portfolio among major classes of U.S. and Japanese assets
, given that the asset risk parameters vary over time. We devise an ec
onometric specification in the ARCH/GARCH family to model the evolutio
n of the returns covariance matrix and find substantial time variation
in both returns variances and correlations. The fitted covariance mat
rices are then used to analyze optimal asset allocation portfolios. Th
e time patterns in the portfolio weights and risk assessment make sens
e: They show the change in the character of the U.S. Treasury bond mar
ket in 1979 and the increase in stock market risk in October 1987, for
example. However, while the models capture some of the time variation
in asset risk parameters, the improvement in portfolio performance is
limited. We also examine investment performance under different portf
olio constraints, and find that allowing international diversification
makes the biggest impact, especially for a U.S. investor. Prohibiting
short sales and the hedging of currency risk seem to have little impa
ct. We find that post-sample performance of the model deteriorates rel
ative to the fixed variance model.