Show graphically the profit and stock price relationships at expiration for the following option positions. In each case, show the profit graph for each position at various stock prices and then aggregate the profits for the separate positions at each stock price to generate the profit graph for the total position.

a. A straddle purchase formed with ABC call and put options, each with exercise prices of \(\$ 60\) and premiums of \(\$ 5\).

b. A straddle write formed with ABC call and put options, each with exercise prices of \(\$ 40\) and premiums of \(\$ 2\).

c. A covered call write formed by purchasing ABC stock at \(\$ 48\) and selling an \(\mathrm{ABC} 50\) call at \(\$ 3\).

d. A call spread formed by buying an \(\mathrm{ABC} 50\) call at \(\$ 3\) and selling an \(\mathrm{ABC} 55\) put at \(\$ 1\).

e. A put spread formed by buying an \(\mathrm{ABC} 50\) put at \(\$ 1\) and selling an \(\mathrm{ABC} 55\) put at \(\$ 2\).

f. A stock insurance strategy formed by purchasing \(\mathrm{ABC}\) stock at \(\$ 50\) and buying an \(\mathrm{ABC} 50\) put at \(\$ 3\).