The stock price of Beacon Incorporated is currently $$100.$ The stock price a year from now will be either $$130$

or $$80.$ The risk$-$free rate is $10\%.$ Using the binomial option pricing model, the value of a put option with an

exercise price of $$110$ and an expiration date $1$ year from now should be worth $\_\_\_\_\_\_\_\_\_\_$ today.