Air Canada needs an additional plane for $5$ years. It can buy the plane for $$360,000$ and then sell it after the $5$ years for an estimated amount of $$140,000.$ Alternatively, it can lease the plane for $$5,600$ per month payable at the beginning of each month. Which alternative should Air Canada choose? What is the financial advantage of the preferred alternative? Assume interest is $7\mathrm{.}5\%$ compounded monthly.