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$).$

I found that the annual effective yield is $\mathrm{.}003045$ by the formula i $=($Face Value$/$Book Value at the third year$)^(1/3)-1$ and the formula for the bond price is Fc $*(1-$v$^$n$)/$i $+$ Redemption $*$ v$^$n which is $80*(1-(1\mathrm{.}003045)^(-$n$))/\mathrm{.}003045+1000(1\mathrm{.}003045)^(-$n$)$ but i don't know how to find the maturity date n$.$ Can someone explain using excel or by other methods. Also is the of the coupon payment, Fc $=1000*8\%=80$ correct becuase the coupons are annual and not semiannual.