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# Call Put Case Study

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The put option of Joe Inc. is currently trading at \$2.50 while the call option premium is \$7.50. Both the put and the call have an exercise price of \$25. Joe Inc. stock is currently trading at \$32.25 and the risk free rate is 3%. The options will expire in one month.

I. An investor applies a protective put strategy by buying the put option of Joe Inc. to protect his holding of the company's stock. This strategy creates a portfolio of long stock and long put, which provides a payoff of unlimited upside potential with a limited loss. This is similar to buying a call option (i.e., a long call position) of Joe Inc. that also provides unlimited upside profit potential with a limited loss (the maximum loss will be the option premium paid).

Investigate the profit/loss possibilities at options expiration for the protective put portfolio vs. the long call position. For example, if the stock price is \$14 when options expire, stock's profit/loss will be \$l4 - \$32.25 = - \$18.25 (i.e., a loss), long put option's profit/loss will be \$25 - \$14 - \$2.5 = \$8.5 (i.e., a profit), and long call option's profit/loss will be \$0 - \$7.5 = - \$7.5 (i.e., a loss). Thus, a protective-put portfolio of long stock and long put will incur portfolio's profit/loss of
- \$18.25 + \$8.5 = - \$9.75, while the long call position will suffer - \$7.5 loss. These profits/losses are entered in the following table for the Stock Price = 14.00. Complete the following table for different stock prices other than \$14. (In this exercise, ignore the interest costs on capital.)

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Put-Call Parity Case Study

The put option of Joe Inc. is currently trading at \$2.50 while the call option premium is \$7.50. Both the put and the call have an exercise price of \$25. Joe Inc. stock is currently trading at \$32.25 and the risk free rate is 3%. The options will expire in one month.

I. An investor applies a protective put strategy by buying the put option of Joe Inc. to protect his holding of the company's stock. This strategy creates a portfolio of long stock and long put, which provides a payoff of unlimited upside potential with a limited loss. This is similar to buying a call option (i.e., a long call position) of Joe Inc. that also provides unlimited upside profit potential with a limited loss (the maximum loss will be the option premium paid).

Investigate the profit/loss possibilities at options expiration for the protective put portfolio vs. the long call position. For example, if the stock price is \$14 when options expire, stock's profit/loss will be \$l4 - \$32.25 = - \$18.25 (i.e., a loss), long put option's profit/loss will be \$25 - \$14 - \$2.5 = \$8.5 (i.e., a profit), and long call option's profit/loss will be \$0 - \$7.5 = - \$7.5 (i.e., a loss). Thus, a protective-put portfolio of long stock and long put will incur portfolio's profit/loss of
- \$18.25 + \$8.5 = - \$9.75, while the long call position will suffer - \$7.5 loss. These profits/losses are entered in the following table for the Stock Price = 14.00. Complete the following table for different stock prices other than \$14. (In this exercise, ignore the interest costs on capital.)

Stock Price Without Considering Interest ...

#### Solution Summary

A call put case study is examined. Investor applying protective put strategies are analyzed.

\$2.19