A stock is currently trading for $$41.$ The company has a price$$earnings multiple of $10.$ There are $100$ million shares outstanding. Your model indicates that the stock is actually worth $$32.$ The company announces that it will use $$300$ million to repurchase shares. After the repurchase, what is the value of the stock, according to your model?

$$54\mathrm{.}21$

$$31\mathrm{.}29$

$$41\mathrm{.}00$

$$63\mathrm{.}59$