You are given the following information:

$r^{**}=1\mathrm{.}0\%$

The current interest rate on a $1$ year loan to the U$.$S$.$ government $=3\mathrm{.}0\%$

$,$ The MRP on $10$ year bonds $=0\mathrm{.}75\%$

The LP on U$.$S$.$ and Zeniba Inc. bonds $=0$

The interest rate on a $10$ year loan to Zeniba Inc. is $1\mathrm{.}5$ times the rate on a $10$ year loan to the U$.$S$.$ government

a$)$ What is the inflation rate expected to be over the next year?

b$)$ Suppose the average annual inflation rate expected each year over the next $10$ years is the same as the inflation rate expected over the next year. What should be the current interest rate on a $10$ year loan to the U$.$S$.$ government?

c$)$ What is the DRP on a $10$ year loan to Zeniba Inc.?