This paper introduces increasing returns to domestic capital into a st
andard optimizing model of international portfolio selection. The resu
lting system displays surprising dynamic behavior. Endogenous cycles o
f any length may occur around the steady-state equilibrium, with both
capital flows and asset prices displaying regular fluctuations. Initia
l conditions and expectations both matter in selecting the cycle on wh
ich the economy converges. Hence, 'animal spirits' may determine the c
ourse of asset prices and capital flows.