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Consider a two-period model of intertemporal choice. In each period i = 1, 2, the consumer has income mi > 0 and makes a consumption

Consider a two-period model of intertemporal choice. In each period i = 1, 2, the consumer

has income mi > 0 and makes a consumption choice xi 0. The price of the consumption

good is 1 in both periods. The consumer can save her period 1 income or borrow against

her period 2 income at interest rate r > 0.

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