Ortiz, Incorporated, is currently valued at $$145,700$ in a boom and $$75,200$ in a recession. The chance of either economic state occurring is $50$ percent. The firm owes $$85,000$ to its debtholders. What is the value of the firm to the shareholders in a recession?

Multiple Choice

$$22\mathrm{.}50$

$$0$

$$ $$27\mathrm{.}50$

$$ $$55\mathrm{.}00$