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"Buffer-stock" models of saving are now standard in the consumption literature. This paper builds theoretical foundations for rigorous understanding of the main features of such models, including the existence of a target wealth ratio and the proposition that aggregate consumption growth equals aggregate income growth in a small open economy populated by buffer stock savers. JEL Classification: D81, D91, E21 Keywords: Precautionary Saving, Buffer Stock Saving, Marginal Propensity to Consume, Permanent Income Hypothesis