A n$-$year $$1,000$ par$-$value bond with $8\%$ annual coupons has an annual

effective yield of i $>1.$ The book value of the bond at the end of the third year is $$990\mathrm{.}92$

and the book value of the bond at the end of the fifth year $$995\mathrm{.}10.$

$1.$Find the annual effective yield, i$.$

$2.$Find the price of the bond, P $.$

$3.$Find the maturity date $($in years$)$ of bond, n $($Use the the financial calculator, or Excel Formula$).$