Question
Two people, Cat and Dog, each start their lives with an income of 100, and they don't discount the future (beta = 1). Life lasts,
Two people, Cat and Dog, each start their lives with an income of 100, and they don't discount the future (beta = 1). Life lasts, alas, only two periods, and they can borrow or save at the interest rate of 100% per period--so hypothetically, if they only consumed in the future, they could consume a total of 200 in the future.
Cat's utility function is square root [c0.5], and Dog's utility function is natural log [ln(c)]. Like everyone else, they try to maximize their lifetime utility subject to their budget constraint.
Who will consume more in the future, Cat or Dog?
- Dog
- Cat
- Both will consume the same amount.
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