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.

SWFT Comprehensive Vol 2020
43rd Edition
ISBN:9780357391723
Author:Maloney
Publisher:Maloney
Chapter4: Gross Income: Concepts And Inclusions
Section: Chapter Questions
Problem 8DQ
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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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