Suppose the real risk$-$free rate is $2\mathrm{.}50\%$ and the future rate of

inflation is expected to be constant at $3\mathrm{.}80\%.$ What rate of return

would you expect on a $5-$year Treasury security, assuming the pure

expectations theory is valid? Disregard cross$-$product terms, i$.$e$.,$

if averaging is required, use the arithmetic average$\mathrm{.}6\mathrm{.}30\%5\mathrm{.}80\%7\mathrm{.}25\%5\mathrm{.}17\%7\mathrm{.}18\%$