The stock price of Bravo Corp. is currently $$100.$ The stock price a year from now will be either $$160$ or $$60$ with equal probabilities. The interest rate at which investors invest in riskless assets at is $6\%.$ Using the binomial option pricing model, a put option with an exercise price of $$135$ and an expiration date one year from now. The value of the put option should be worth $$\_\_\_\_\_$ today.