Chris receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest rate of 4.5% per year. The nominal interest rate on the bonds adjusts automatically to account for the inflation rate. The government taxes nominal interest income at a rate of 10%. The following table shows two scenarios: a low-inflation scenario and a high- inflation scenario. Given the real interest rate of 4.5% per year, find the nominal interest rate on Chris's bonds, the after-tax nominal interest rate, and the after-tax real interest rate under each inflation scenario. Inflation Rate Real Interest Rate Nominal Interest Rate After-Tax Nominal Interest Rate (Percent) (Percent) (Percent) (Percent) 3.0 4.5 9.5 4.5 Compared with lower inflation rates, a higher inflation rate will nominal interest income. This tends to saving, thereby After-Tax Real Interest Rate (Percent) the after-tax real interest rate when the government taxes the quantity of investment in the economy and

Chris receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest rate of 4.5% per year. The nominal interest rate on the bonds adjusts automatically to account for the inflation rate. The government taxes nominal interest income at a rate of 10%. The following table shows two scenarios: a low-inflation scenario and a high- inflation scenario. Given the real interest rate of 4.5% per year, find the nominal interest rate on Chris's bonds, the after-tax nominal interest rate, and the after-tax real interest rate under each inflation scenario. Inflation Rate Real Interest Rate Nominal Interest Rate After-Tax Nominal Interest Rate (Percent) (Percent) (Percent) (Percent) 3.0 4.5 9.5 4.5 Compared with lower inflation rates, a higher inflation rate will nominal interest income. This tends to saving, thereby After-Tax Real Interest Rate (Percent) the after-tax real interest rate when the government taxes the quantity of investment in the economy and

Economics For Today

10th Edition

ISBN:9781337613040

Author:Tucker

Publisher:Tucker

Chapter17: Inflation

Section: Chapter Questions

Problem 20SQ

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Suppose that Lisa lends Alex $1,000, which Alex must repay after one year with an interest payment of 10%. When Lisa lends money to Alex, she expects that the inflation rate over the year will be 3%. However, after she lends the money, the actual inflation rate for the year turns out to be 5%. In this scenario, who gains from the higher than expected inflation rate?
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a)Suppose that on January 1, 2019 a bank lends $20,000 to a person. The bank and the individual both agree that the real interest rate charged on the loan should be 10% and the loan is going to be totally paid ($20,000 plus interest), in a one-time payment, on December 31, 2020. Suppose the two parties to this transaction can perfectly foresee what the inflation rate for this period is going to be. b) Assume the same conditions exist as in the paragraph a but now the bank and the borrower cannot predict the inflation rate perfectly. Assume that both the bank and the borrower expect an inflation rate of 8% over this period of time. Given this information, what is the nominal rate charged on the loan now? Given the actual inflation rate (from your calculations and the provided data), who wins from this loan contract and who loses from this loan contract? Explain your answer fully. What if the expected inflation rate is 4% during this period? Does your answer change as to who wins and…