1. a) The growth rate of the money supply is 7%, the inflation rate is 3%, and v
ID: 1220565 • Letter: 1
Question
1.
a) The growth rate of the money supply is 7%, the inflation rate
is 3%, and velocity is constant.
What is the growth rate of real GDP? ________________
b) Suppose the real rate of interest is 3%, and the money supply is
growing at 5%. If the growth rate of the money supply
rises to 10%, then, according to the Fisher effect, what is the change in the real rate of interest? ________________
nominal rate of interest? ________________
c)
If the nominal interest rate is 8%, the expected inflation
rate is 3%, and the tax rate is 25%, what is
the after-tax real interest rate when taxes are
paid on nominal interest income?
_______________
the after-tax real interest rate when taxes are
paid on real interest income?
_______________
Explanation / Answer
a) From the below mentioned formula
Money Growth = Real GDP Growth + Inflation
We can find Real GDP growth.
Here Real GDP Growth = 7% - 3% = 4%.
b) If the real rate of interest is 3%, and the money supply is growing at 5%, then if the growth rate of the money supply rises to 10%, then, according to the Fisher effect, which states that the real interest rate equals the nominal interest rate minus the expected inflation rate,
So, the change in the real rate of interest will be zero,
but the nominal rate of interest will increase by 5% from 3%+5% = 8% to 8% + (10% - 5%) = 13%..
c) To answer this question we have to use the following formula -
Real Rate of Return = Nominal Interest Rate × (1 – Your Tax Bracket) - Inflation Rate
Real Rate of Return = 8% * (1 - 0.25) - 3%
Real Rate of Return = 3%.
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