Your division is considering two investment projects, each of which requires an up$-$front expenditure of $$22$ million. Project A will have cash flows of $$3$ million in year $1,$ $$4$ million in year $2,$ $$8$ million in year $3,$ and $$18$ million in year $4.$ Project B will have cash flows of $$17$ million in year $1,$ $$9$ million in year $2,$ $$4$ million in year $3,$ and $$2$ million in year $4.$

If Projects A and B are mutually exclusive and the cost of capital is $9\%,$ which project do you accept?