Question $10$

$5$ pts

You buy a $10-$year bond that will mature for $$1,000$ and has a coupon rate of $12$ percent, paid semi$-$annually $($ $$60$ every six months$).$ Also, the yield$-$to$-$maturity $($YTM$)$ on this bond is $10$ percent Your plan is to hold this bond for $6$ years, and then sell the bond right after receiving the $12$th coupon payment. As it turns out, your reinvestment rate for the coupons was different than you expected, at a nominal rate of $8$ percent $($semi$-$annual compounding$)$ for the $6$ years. Also, after $6$ years, when you sell the bond, the YTM was $9$ percent. Given this information, determine the realized compounded yield you earned over this $6-$year period.

Enter your answer in decimal format, to $4$ decimal places, truncated. For example, if your answer is $5\mathrm{.}636\%,$ enter $0\mathrm{.}0563.$