The price of Chive Corp. stock will be either $$83$ or $$113$ at the end of the year. Call options are available with one year to expiration. T$-$bills currently yield $4$ percent.

a$.$

Suppose the current price of the company's stock is $$93.$ What is the value of the call option if the exercise price is $$80$ per share? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Suppose the exercise price is $$105$ and the current price of the company's stock is $$93.$ What is the value of the call option now? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$