A call option with X $=$ $$50$ on a stock currently priced at S $=$ $$55$ is selling for $$10.$

Using a volatility estimated of $=0\mathrm{.}30,$ you find that N$($d$1)=0\mathrm{.}6$ and N$($d$2)=0\mathrm{.}5.$ The

risk$-$free interest rate is zero. Is the implied volatility based on the option price is than

$($to$)0\mathrm{.}30.$

a$)$ higher b$)$ lower c$)$ equal d$)$ Not enough information