suppose the risk free rate is $1\mathrm{.}50$ and the future rate of inflation is expected to be a constant $5\mathrm{.}50.$ What rate of return would you expect on a $5$ year Treasury security assuming the pure expectation theory is valid? Disregard cross product terms ie if averaging is required use the arithmetic average, A$)1\mathrm{.}96$ B$)7\mathrm{.}00\%$ C$)3\mathrm{.}50\%$ D$)1\mathrm{.}50\%$ E$)6\mathrm{.}25\%$