Suppose a share of stock sells for $$67.$ The risk$-$free rate is $6$ percent, and the stock price in one year will be either $$73$ or $$83.$

a$.$ What is the value of a call option with an exercise price of $$73?($Leave no cells blank $-$ be certain to enter $"0"$ wherever required.$)$

b$.$ Calculate the minimum return on the stock required to get the option in the money. $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$