$44.$ Suppose the yield on a $10-$year T$-$bond is currently $5\mathrm{.}05\%$ and that on a $10-$year Treasury Inflation Protected Security $($TIPS$)$ is $1\mathrm{.}80\%.$ Suppose further that the MRP on a $10-$year T$-$bond is $0\mathrm{.}90\%,$ that no MRP is required on a TIPS, and that no liquidity premium is required on any T$-$bond. Given this information, what is the expected rate of inflation over the next $10$ years? Disregard cross$-$product terms, i$.$e$.,$ if averaging is required, use the arithmetic average.

$$ a$.2\mathrm{.}66\%$

$$ b$.1\mathrm{.}88\%$

$$ c$.2\mathrm{.}35\%$

$$ d$.2\mathrm{.}00\%$

$$ e$.2\mathrm{.}49\%$