Question: You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $108
| You would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $108 at year-end. XYZ currently sells for $108. Over the next year the stock price will increase by 11% or decrease by 11%. The T-bill rate is 7%. Unfortunately, no put options are traded on XYZ Co. |
| a. | Suppose the desired put option were traded. How much would it cost to purchase?(Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.) |
| Purchase cost | $ |
| b. | What would have been the cost of the protective put portfolio? (Do not round intermediate calculations and round your final answer to 2 decimal places. Omit the "$" sign in your response.) |
| Cost | $ |
| c. | What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 108? Show that the payoff to this portfolio and the cost of establishing the portfolio matches that of the desired protective put. |
| Portfolio | S = 96.12 | S = 119.88 |
| Buy 0.5 shares |
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| Invest in T-bills |
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| Total | ||
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