The stock price of Bravo Corporation is currently $$180.$ The stock price a year from now will be either $$305$ or $$125$ with equal probabilities. The interest rate at which investors invest in riskless assets is $2\%.$ Using the binomial OPM, the value of a put option with an exercise price of $$230$ and an expiration date $1$ year from now should be worth $\_\_\_\_\_\_\_\_\_\_$ today. $($Round intermediate calculation to $2$ decimal places.$)$

Multiple Choice

$$49\mathrm{.}42$

$$73\mathrm{.}00$

$$69\mathrm{.}03$

$$42\mathrm{.}52$