8. Inflation-induced tax distortions Shen 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 Shen'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) 1.5 4.0 8.0 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 Y saving, thereby v the quantity of investment in the economy and the economy's long-run growth rate.

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Chapter12: Money Growth And Intlation
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8. Inflation-induced tax distortions
Shen 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 Shen'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)
1.5
4.0
8.0
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
Y saving, thereby
v the quantity of investment in the economy
and
v the economy's long-run growth rate.
Transcribed Image Text:8. Inflation-induced tax distortions Shen 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 Shen'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) 1.5 4.0 8.0 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 Y saving, thereby v the quantity of investment in the economy and v the economy's long-run growth rate.
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