The current price of a non$-$dividend$-$paying stock is $$224.$ The risk$-$free rate is $3\mathrm{.}3\%($continuously compounded$).$

A European call option on the stock has a strike price of $$295,$ expires in $0\mathrm{.}25$ years, and costs $$2\mathrm{.}59.$

$\backslash$table$[[,$A$,$B$],[1,$Inputs,$],[2,$Stock price,$224],[3,$Exercise price,$295],[4,$Expiration $($years$),0\mathrm{.}25],[5,$St$.$ dev. of returns,$1],[6,$Call price,$2\mathrm{.}59],[7,$Risk$-$free rate,$0\mathrm{.}033]]$

Part $1$

Attempt $\frac{3}{3}$ for $9\mathrm{.}5pts.$

What is the implied volatility?