Assume the yield to maturity is $3\mathrm{.}1$ for half year, $3\mathrm{.}4\%$ for $1$ year, $3\mathrm{.}8\%$ for $2$ years, and $4\mathrm{.}0$ for $3$ years. Suppose you want to invest $1$ million dollars in the risk$-$free bonds in year $1$ and get repaid in year $3,$ what could you do to fix the investment return? Show the cash flows associated with your investment strategy.