You look up a $20-$month bond forward contract and find the following: the current price of the

bond is $$951,$ and the forward price is $$940.$ It will pay three coupon payments of $$60$ each: in

$3$ months, $9$ months and $15$ months. The continuously compounded, annualized risk free rate is

$2\%$ for $3$ months, $2\mathrm{.}5\%$ for $9$ months, $3\mathrm{.}5\%$ for $15$ months, and $4\mathrm{.}5\%$ for $20$ months. Find an

arbitrage trade, and show the profit from your trade.