51. Permanent Income and winning the lottery. Remember to explain the reasoning behind your answers. a) Suppose you win the lottery today, which pays out an immediate lump sum of 10 million dollars. If you obey the Permanent Income Hypothesis and the interest rate is 3 percent, how much will you consume today and in the future? (Assume you live forever, and remember that you've already visited present discounted values in Chapter 7.) b) Now, suppose instead, that the lottery pays out 1 million dollars a year for 20 years. Describe your consumption in this case, under the same assumptions as in the previous question. Now how much will you consume both today and in the future?

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Chapter17: Capital And Time
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51. Permanent Income and winning the lottery. Remember to explain the reasoning behind your
answers.
a) Suppose you win the lottery today, which pays out an immediate lump sum of 10 million
dollars. If you obey the Permanent Income Hypothesis and the interest rate is 3 percent, how
much will you consume today and in the future? (Assume you live forever, and remember
that you've already visited present discounted values in Chapter 7.)
b) Now, suppose instead, that the lottery pays out 1 million dollars a year for 20 years. Describe
your consumption in this case, under the same assumptions as in the previous question. Now
how much will you consume both today and in the future?
Transcribed Image Text:51. Permanent Income and winning the lottery. Remember to explain the reasoning behind your answers. a) Suppose you win the lottery today, which pays out an immediate lump sum of 10 million dollars. If you obey the Permanent Income Hypothesis and the interest rate is 3 percent, how much will you consume today and in the future? (Assume you live forever, and remember that you've already visited present discounted values in Chapter 7.) b) Now, suppose instead, that the lottery pays out 1 million dollars a year for 20 years. Describe your consumption in this case, under the same assumptions as in the previous question. Now how much will you consume both today and in the future?
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