The ABC company issued new series of bonds on January $1,2020.$ The bonds were sold at par $($$ $1,000),$ have a $12\%$ coupon, and mature in $30$ years, on December $31,2050.$ Coupon payments are made semi$-$annually $($on June $30,$ and December $31).$

a$)$ what$$s the YTM of ABC$$s bonds on January $1,2020?$