$*$Next period a firm will be worth $$59$ with $18\%$ probability, $$87$ with $63\%$ probability, and $$137$ otherwise. The firm has one senior bond outstanding with a face value of $$39$ and one junior bond outstanding with a face value of $$33.$ The senior bond has a promised return of $5\%.$ The junior bond has a promised return of $13\%.$ The firm's required return on assets is $14\%.$ What is the firm's levered cost of equity? Give your answer in percentage to the nearest $0\mathrm{.}1\%.$

Correct Answer: $57\mathrm{.}0$