Darnell 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% 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 20%. The following table shows two scenarios: a low-inflation scenario and a high-inflation scenario. Given the real interest rate of 4% per year, find the nominal interest rate on Darnell'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) 2.5 4.0 8.5 4.0 Compared with higher inflation rates, a lower 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.
Darnell 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% 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 20%. The following table shows two scenarios: a low-inflation scenario and a high-inflation scenario. Given the real interest rate of 4% per year, find the nominal interest rate on Darnell'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) 2.5 4.0 8.5 4.0 Compared with higher inflation rates, a lower 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.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Darnell 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% 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 20%. The following table shows two scenarios: a low-inflation scenario and a high-inflation scenario.
Given the real interest rate of 4% per year, find the nominal interest rate on Darnell'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)
|
| 2.5 | 4.0 |
|
|
|
| 8.5 | 4.0 |
|
|
|
Compared with higher inflation rates, a lower 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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