Suppose that the tax rate is 25% and compute the before-tax real interest rate and the after-tax real interest rate in the following situations.
a. Nominal interest rate = 9%, inflation is 4%.
b. Nominal interest rate = 8%, inflation is 3%.
c. Nominal interest rate = 7%, inflation is 4%.
Solution:-Given date
before tax nominal rateI-r
inflation rate-i
tax rate-t
Before tax real interest rate = r – i
After tax rea interest rate = r(1-t) – i
a. Nominal interest rate = 9%, inflation is 4%.
Before tax real interest rate = 9% - 4%=5%
after tax real interest rate = 9%(1-0.25%) – 4%= 2.75%
b. Nominal interest rate = 8%, inflation is 3%.
Before tax real interest rate = 8% - 3%=5%
after tax real interest rate = 8%(1-0.25%) – 3%= 3%
c. Nominal interest rate = 7%, inflation is 4%.
Before tax real interest rate = 7% - 4%=3%
after tax real interest rate = 7%(1-0.25%) – 4%= 1.25%
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