Suppose the real risk$-$free rate is $3\mathrm{.}30\%$ and the future rate of inflation is expected to be constant at $2\mathrm{.}80\%.$ 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$.3\mathrm{.}39\%$

b$.4\mathrm{.}70\%$

c$.3\mathrm{.}05\%$

d$.3\mathrm{.}30\%$

e$.6\mathrm{.}10\%$