Free Money Between the Bank and the Bond

A default-free bond returns a guaranteed $5\%$ over one year. Your bank will both lend to you and take your deposits at $3\%$ per year, and you may freely borrow, deposit, buy the bond, or short it, all with zero transaction costs. Working with a $\$100$ notional, decide whether a riskless profit is available — and if it is, compute the profit after one year.