On August 15 1990, the US Treasury issued a bond maturing on 15 February 2020. The bond has a coupon rate of 8.75%, payable semi-annually on 15 February and 15 August. If on 22 June 2015 a $100 face value bond is selling for $138.89, what is the bonds yield to maturity?

1 2 last coupon 3 current date 4 Days 5 accrued coupon 2/15/2015 6/22/2015 127 7 Date Cash flow 8 6/22/2015 8/15/2015 10 2/15/2016 11 8/15/2016 12 2/15/2017 13 8/15/2017 14 2/15/2018 15 8/15/2018 16 2/15/2019 17 8/15/2019 18 2/15/2020 19 8/15/2020 20 21 YTM