Suppose you enter into two transactions $($with two different counterparties$)$ at the same time. The first transaction is a repo on a $1,000,000($in par value$)$ Treasury bond for $30$ days. The bond's current $($clean$)$ price is $$970,000.$ The bond's coupon rate is $8\%$ per year, The second transaction is a reverse repo on the same bond for $30$ days payable twice a year $($i$.$e$.,$ each time it pays $4\%).$ The most recent coupon payment date was $90$ days ago. The repo interest rate is $2\mathrm{.}50\%$ p$.$a$..$ The reverse repo interest rate is $$2\mathrm{.}60\%$ p$.$a$.$ Assuming a $360-$day year, what is the amount of payoff that you will get $($from the two transactions combined$)$ at the end of the two repos' lives? Will you gain or will you lose?