Exam 10:Intertemporal Choice-Part A

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If the real rate of interest is 12% and the nominal rate of interest is 31%,then the rate of inflation must be about

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B

Minnie has an income of $300 in period 1 and will have an income of $625 in period 2.Her utility function is U(c1,c2)=c0.801c0.202,where c1 is her consumption in period 1 and c2 is her consumption in period 2.The interest rate is 0.25.If she unexpectedly won a lottery which pays its prize in period 2 so that her income in period 2 would be $1,250 and her income in period 1 would remain $300,then her consumption in period 1 would

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B

Holly's utility function is U(c1,c2)=c1/21+0.87c1/22,where c1 is her consumption in period 1 and c2 is her consumption in period 2.In period 2,her income is twice as large as her income in period 1.At what interest rate will she choose to consume the same amount in period 2 as in period 1? (Choose the closest answer. )

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E

Will Wisp will live for exactly two periods.His utility function is U(c1,c2)=c1c2,where c1 is consumption in period 1 and c2 is consumption in period 2.He will have no income in period 2.His income in period 1 is $40,000.If the interest rate rises from 10 to 14%:

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Buzz is a chicken farmer.His earnings will be $100 this year and $100 next year.He can lend money at an interest rate of 20%.Because of a subsidized loan program for chicken farmers,he can borrow money at an interest rate of 10%.No matter what he borrows or lends,his earnings will still be $100 each year. a.If he is not allowed to either borrow or lend,draw a graph showing his budget between consumption this year and consumption next year.Put numerical labels on the vertical and horizontal intercepts of the budget set. b.Suppose that Buzz is allowed to borrow up to the present value of next year's earnings at 10% and is also allowed to make loans.Draw Buzz's budget constraint in this case.

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Susan is a net borrower when the interest rate is 10% and a net saver when the interest rate is 20%.A decrease in the interest rate from 20% to 10% may make Susan worse off.

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Ophelia says,"If I could lend money at the rates I must pay to borrow,I would.And if I could borrow money at the rates I receive when I lend,I would again.But forsooth,although I spend,I neither borrow nor lend." Contrary to common belief,Ophelia is entirely rational.Draw a diagram to show how Ophelia's remarks can be consistent with rational behavior and smooth convex preferences if she pays a different interest rate when she borrows than she gets when she lends.Explain what happens in words.

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If a consumer views a unit of consumption in period 1 as a perfect substitute (one for one)for a unit of consumption in period 2 and if the real interest rate is positive,the consumer will

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It would be a mistake to choose the investment that maximizes the present value of your income stream unless you planned to spend your entire wealth in the current time period.

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Harvey Habit has a utility function U(c1,c2)=min{c1,c2}.If he had an income of $880 in period 1 and $1,320 in period 2 and if the interest rate were 0.20,how much would Harvey choose to spend on bread in period 1?

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If the interest rate is less than the inflation rate,a rational person will never save money.

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If a consumer can borrow and lend at the same interest rate,then he can exactly afford a consumption plan if the present value of his consumption equals the present value of his income.

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If the inflation rate doubles and the nominal interest rate remains constant,the real interest rate must be halved.

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For every two boxes of strawberries that she consumes,Millicent insists on having one pitcher of cream.She does not,however,insist on consuming the same amount every week.Her utility functions is U =min{s1,2c1} min{s2,2c2},where s1 and s2 are the number of boxes of strawberries she consumes this week and next week and c1 and c2 are the number of pitchers of cream she consumes this week and next.Strawberries cost $2 a box and cream costs $1 a pitcher.She has a present value of $100 to spend on these goods in the next two weeks.The weekly interest rate is 1%.How many boxes of strawberries will she consume this week?

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If the interest rate is 5% and will be 5% forever,the present value of an income stream consisting of $10 a year paid to you on February 11 of every year,starting right now,is $210.

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Patience has the utility function U(c1,c2)=c1/21 +2c1/22 where c1 is her consumption in period 1 and c1 is her consumption in period 2.She will earn 100 units of the consumption good in period 1 and 100 units of the consumption good in period 2.She can borrow or lend at an interest rate of 10%. a.Write an equation that describes Patience's budget. b.If Patience neither borrows nor lends,what will be her marginal rate of substitution between current and future consumption? c.If Patience does the optimal amount of borrowing or saving,what will be the ratio of her period 2 consumption to her period 1 consumption?

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Mr.O.B.Kandle has a utility function c1c2,where c1 is his consumption in period 1 and c2 is his consumption in period 2.He will have no income in period 2.If he had an income of $80,000 in period 1 and the interest rate increased from 10 to 19%,

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Kenny Kink's utility function is u(c1,c2)=min{c1,c2},where c1 is his consumption in period 1 and c2 is his consumption in period 2.He earns $200 in period 1 and $220 in period 2.Kenny can borrow and lend at an interest rate of 10%,and there is no inflation.The number of dollars that Kenny spends on consumption in the first period must be

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If apples today are perfect substitutes for bananas today,then apples today must also be perfect substitutes for bananas tomorrow.

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The real interest rate is the interest rate that one receives net of brokerage costs or fees imposed by financial intermediaries.

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