The stock of Lead Zeppelin, a metal manufacturer, currently sells for $$78$ and has an annual standard deviation of $30$ percent. The risk$-$free rate is $4\mathrm{.}2$ percent. What is the value of a put option with a strike price of $$80$ and $45$ days to expiration? $($Use $365$ days in a year. Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Value of a put option