$5.$ An uncle of yours who is about to retire wants to sell some of his stock and buy an annuity that will provide him with income of $$60,000$ per year for $30$ years, beginning a year from today. The going rate on such annuities is $5\mathrm{.}5\%.$ How much would it cost him to buy such an annuity today? $($Hint: this is an ordinary annuity or annuity due?$)$