$3\mathrm{.}4$ An investor is considering whether to invest in either of the following loans: Loan A: For a purchase price of $N$$$20000,$ the investor will receive $N$$$1000$ per annum payable quarterly in arrear for $15$ years.

Loan B: For a purchase price NS $11000,$ the investor will receive an income of N$$605$ per annum, payable annuolly in arrear for $18$ years, and a return of his outlay at the end of this period. The investor may borrow money at $4\%$ per annum. Which Loan is more profitable to invest in$?$

$[10]$