Answer the following questions about the (real) inflation tax, assuming that
the price level starts at 1 .
a. Maria Moneybags keeps \(\$ 1,000\) in her sock drawer for a year. Over the
year, the inflation rate is \(10 \%\). What is the real inflation tax paid by
Maria for this year?
b. Maria continues to keep the \(\$ 1,000\) in her drawer for a second year.
What is the real value of this \(\$ 1,000\) at the beginning of the second year?
Over the year, the inflation rate is again \(10 \% .\) What is the real
inflation tax paid by Maria for the second year?
c. For a third year, Maria keeps the \(\$ 1,000\) in the drawer. What is the
real value of this \(\$ 1,000\) at the beginning of the third year? Over the
year, the inflation rate is again \(10 \% .\) What is the real inflation tax
paid by Maria for the third year?
d. After three years, what is the cumulative real inflation tax paid?
e. Redo parts a through \(\mathrm{d}\) with an inflation rate of \(25 \%\). Why is
hyperinflation such a problem?