$1.$ You buy a call option with a strike price of $$36.$ Currently, the market value of the underlying share of common stock is $$39.$ The call option premium is $$5.$ Assume that the contract is for $100$ units of stock. Assume the interest rate is $0\%.$

a$.$ What is the intrinsic value of the call option?

b$.$ What is the time value of the call option?

c$.$ What is your net cash flow if the stock price is $$42$ on the option's expiration date?

d$.$ What is your net cash flow if the stock price is $$32$ on the option's expiration date?

e$.$ Draw a diagram depicting the net payoff $($a profit diagram$)$ of your position as a function of the stock price on the day your call option expires.

f$.$ A put option with a strike price of $$37$ on the same underlying asset and the same expiration date has a premium of $$1.$ Suppose that a trader sells one $$37$ strike put option and also sells two of the $$35$ strike call options with five$-$dollar premia. What are the breakeven stock prices, and when does the trader make a profit $$ under what circumstances will the trader make a profit when the options expire?

g$.$ draw a profit diagram of your position in $($f$).$