Next period a firm will be worth $$58$ with $15\%$ probability, $$90$ with $52\%$ probability, and $$155$ otherwise. The firm has one senior bond outstanding with a face value of $$34$ and one junior bond outstanding with a face value of $$38.$ The senior bond has a promised return of $4\%.$ The junior bond has a promised return of $12\%.$ The firm's required return on assets is $15\%.$ What is the value of the firm's equity? Give your answer in dollars to the nearest $$0\mathrm{.}01.$