You have $$1,000$ to invest over an investment horizon of three years. The bond market offers various options. You can buy $($i$)$ a sequence of three one$-$year bonds; or $($ii$)$ a three$-$year bond; The current yield curve tells you that the one$-$year, two$-$year, and threeyear yields to maturity are $2\mathrm{.}5$ percent, $4$ percent, and $2\mathrm{.}7$ percent, respectively. You expect that one$-$year interest rates will be $5$ percent next year and $5$ percent the year after that. Assuming annual compounding, compute the return on each of the two investments.

Instructions: Enter your responses rounded to the nearest two decimal places.

Expected return for $(i)=\%{?}^{\text{'}}$

Expected return for $($ii$)=\%$