You have decided to invest in a $30-$year zero coupon bond. Bonds of similar risk

are currently priced such that on a semi$-$annual basis their yield to maturity is

$5\mathrm{.}0\%.$ If you buy the bond today and sell it in $3$ years, assuming that interest

rates for comparable bonds in $3$ years $($bonds that mature in $27$ years$)$ drops to

$4\mathrm{.}0\%,$ what will your annual rate of return be for this investment? Face is $$1000.$