The stock price of Bravo Corporation is currently $$150.$ The stock price

a year from now will be either $$275$ or $$115$ with equal probabilities. The

interest rate at which investors invest in riskless assets is $5\%.$ Using the

binomial OPM, the value of a put option with an exercise price of $$200$ and

an expiration date $1$ year from now should be worth today. $($Round

intermediate calculation to $2$ decimal places.$)$