Suppose the real risk$-$free rate is $3\mathrm{.}50\%$ and the future rate of inflation is expected to be constant at $4\mathrm{.}80\%.$ What rate of return would you expect on a $1-$year Treasury security, assuming the pure expectations theory is valid? Disregard cross$-$product terms, i$.$e$.,$ if averaging is required, use the arithmetic average.

a$.3\mathrm{.}67\%$

b$.8\mathrm{.}30\%$

c$.4\mathrm{.}15\%$

d$.3\mathrm{.}50\%$

e$.5\mathrm{.}90\%$