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 d with an inflation rate of $25 \% .$ Why is hyperinflation such a problem?