We solve the optimal saving/portfolio-choice problem in an intertemporal recursive utility framework. Our solution to this problem is sufficiently general to allow (i) risk aversion to vary independently of intertemporal substitution, (ii) many risky assets, (iii) stochastic labor income that may be correlated with asset returns and/or follow life-cycle patterns, and (iv) portfolio adjustment costs. We use Weil's (1993) isoelastic/constant absolute risk averse model as a starting point. We use perturbation methods around this analytical solution to derive decision rules for consumption and portfolios. Unlike previous models that have been solved by these methods, our baseline case is explicitly stochastic. In addition, since the portfolio choice is indeterminate in the baseline, we apply bifurcation methods to center our approximation for the portfolio rule.
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