Question $1(35$ points$)$Below is some actual data for call options on Netflix $($NFLX$)$ from April $17,2025.$ The options expire on May $16,2025.$ NFLX$$s most recent closing price was $$973\mathrm{.}03,$ and the $1-$month treasury rate $($risk free rate$)$ is $4\mathrm{.}36\%($annualized$).$ There are $20$ trading days until expiration $($assume $252$ trading days in the year$).$ Fill in the Implied Volatility column below $($you can use the spreadsheet I posted on Blackboard, but I$$d encourage you to build your own Black$-$Scholes$-$Merton spreadsheet and then use it$,$ it$$s a good exercise!$)$

Strike Price, Option Price, Implied Volatility

$$400$ $$581\mathrm{.}00$

$$500$ $$482\mathrm{.}00$

$$700$ $$285\mathrm{.}00$

$$ $$900$ $$105\mathrm{.}00$

$$ $$975$ $$58\mathrm{.}00$

$$1,100$ $$13\mathrm{.}50$

$$ $$1,200$ $$3\mathrm{.}05$

$$ $$1,300$ $$0\mathrm{.}60$

$$ $$1,400$ $$0\mathrm{.}20$

Comment on your findings on the previous page $($remember$,$ this is the actual Netflix option data$).$