Growth and financial liberalization under capital collateral constraints: The striking case of the stochastic AK model with CARA preferences

We consider a small-open, collateral-constrained AK economy. We show that the combination of CARA preferences and uncertainty on capital inflows generates long-term growth while the deterministic counterpart does not: long-term growth is entirely driven by precautionary savings, and the asymptotic growth rate of the expected capital stock is increasing in both the risk magnitude and the Arrow-Pratt absolute risk aversion parameters.