This paper analyzes the portfolio problem of an investor who can inves
t in bonds, stock, and cash when there is time variation in expected r
eturns on the asset classes. The time variation is assumed to be drive
n by three state variables, the short-term interest rate, the rate on
long-term bonds, and the dividend yield on a stock portfolio, which ar
e all assumed to follow a joint Markov process. The process is estimat
ed from empirical data and the investor's optimal control problem is s
olved numerically for the resulting parameter values. The optimal port
folio proportions of an investor with a long horizon are compared with
those of an investor with a short horizon such as is typically assume
d in tactical asset allocation' models: they are found to be significa
ntly different. Out of sample simulation results provide encouraging e
vidence that the predictability of asset returns is sufficient for str
ategies that take it into account to yield significant improvements in
portfolio returns.