IBM stock currently sells for $64$ dollars per share. The implied volatility equals $40\mathrm{.}0.$ The risk$-$free rate of interest is $5\mathrm{.}5$ percent continuously compounded. What is the value of a put option with strike price $69$ and maturity $9$ months?

Group of answer choices

$14\mathrm{.}05$

$10\mathrm{.}19$

$7\mathrm{.}89$

$8\mathrm{.}94$