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Zane Perelli currently has $100 that he can spend today on polo shirts costing $25 each. Alternatively, he could invest the $100 in a risk-free U.S. Treasury security that is expected to earn a 9% nominal rate of interest. The consensus forecast of leading economists is a 5% rate of inflation over the coming year.
a. How many polo shirts can Zane purchase today? $100/25 = 4
b. How much money will Zane have at the end of 1 year if he forgoes purchasing the polo shirts today? = $100 + (1+0.09)1 = $100.00 + 9.00 = $109.00
c. How much would you expect the polo shirts to cost at the end of 1 year in light of the expected inflation? = (0.05 x $25.00) = $26.25
d. Use your findings in parts b and c to determine how many polo shirts (fractions are OK) Zane can purchase at the end of 1 year. In percentage, how many more or fewer polo shirts can Zane buy at the end of 1 year?
e. What is Zane’s real rate of return over the year? How is it related to the percentage change in Zane’s buying power found in part d? Explain.
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