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12. Inflation-induced tax distortions Kevin receives a portion of his income from his holdings of interest-bearing U.S. government bonds. The bonds offer a real interest

12. Inflation-induced tax distortions

Kevin 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 nominalinterest 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 Kevin'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 4.0

8.0 4.0

Compared with lower inflation rates, a higherinflation rate willdecrease the after-tax real interest rate when the government taxes nominalinterest income. This tends todiscourage saving, therebydecreasing the quantity of investment in the economy anddecreasing the economy's long-run growth rate.

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