On July $6$ a stock is selling for $165\mathrm{.}13.$ An AUG $160$ call option is selling for $8\mathrm{.}13$ and

an AUG $160$ put option is selling for $2\mathrm{.}75.$ The expiration date is August $21.$ The

risk$-$free rate is $5\mathrm{.}5\%(\mathrm{.}055)$ for the relevant time period. Check to see if the values

of the call and put conform to the put$-$call parity rule. If you see a violation, suggest

a strategy. Then show that the strategy works $($e$.$g$.,$ profit$/$loss if stock price goes up

or down. Assume these are European options.