$1.$ You are short on a call with an exercise price of $$50.$ What is the value of the call at

Maturity? If the call premium at the time you shorted it was $$3.$ What is your profit or loss on the

position? Use Stock prices of $$40,$ $$45,$ $$50,$ $$55,$ and $$60.$ In addition to calculating the number,

please show graphically the value of the short position in the call and your profit and loss.

$2.$ You are long in a put option with an exercise price of $$60.$ What is the value of the put

at Maturity? If the put premium at the time of purchase was $$4,$ what is your profit or loss on the

position? Use stock prices of $45,50,60,65,$ and $70.$

$3.$ On Friday $3/8/2024$ JP Morgan Chase stock closed at $$188\mathrm{.}22,$ the March $22,2024$

Put closed at $$2\mathrm{.}08,$ and the Call closed at $$3\mathrm{.}25.$ The exercise price is $$187\mathrm{.}50.$ Show using a $5\%$

risk$-$free rate and a $2-$weeks time to maturity for the options that the Put$-$Call Parity holds.

What should be done if the Call above was trading at $$6\mathrm{.}25,$ everything else is the same.