Larry 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 Larry'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 After-Tax Real Interest Rate (Percent) (Percent) (Percent) (Percent) (Percent) 2.0 4.5 9.5 4.5 Compared with lower inflation rates, a higher inflation rate will the after-tax real interest rate when the government taxes nominal interest income. This tends to saving, thereby the quantity of investment in the economy and the economy's long-run growth rate
Larry 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 Larry'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 After-Tax Real Interest Rate (Percent) (Percent) (Percent) (Percent) (Percent) 2.0 4.5 9.5 4.5 Compared with lower inflation rates, a higher inflation rate will the after-tax real interest rate when the government taxes nominal interest income. This tends to saving, thereby the quantity of investment in the economy and the economy's long-run growth rate
Chapter7: Inflation
Section: Chapter Questions
Problem 14SQ
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Question
Larry 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 Larry'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
|
After-Tax Real Interest Rate
|
|---|---|---|---|---|
|
(Percent)
|
(Percent)
|
(Percent)
|
(Percent)
|
(Percent)
|
| 2.0 | 4.5 |
|
|
|
| 9.5 | 4.5 |
|
|
|
Compared with lower inflation rates, a higher inflation rate will the after-tax real interest rate when the government taxes nominal interest income. This tends to saving, thereby the quantity of investment in the economy and the economy's long-run growth rate.
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