Myles Houck holds 800 shares of Lubbock Gas and Light. He bought the stock sever
ID: 2791609 • Letter: M
Question
Myles Houck holds 800 shares of Lubbock Gas and Light. He bought the stock several years ago at $ 47.04, and the shares are now trading at $ 77.00.
Myles is concerned that the market is beginning to soften. He doesn't want to sell the stock, but he would like to be able to protect the profit he's made. He decides to hedge his position by buying 88 puts on Lubbock G&L. The 3-month puts carry a strike price of $ 77.00 and are currently trading at $ 2.54.
a.How much profit or loss will Myles make on this deal if the price of Lubbock G&L does indeed drop, to $ 60.00 a share, by the expiration date on the puts?
b.How would he do if the stock kept going up in price and reached $ 92.00 a share by the expiration date?
c.What do you see as the major advantages of using puts as hedge vehicles?
d.Would Myles have been better off using in-the-money puts—that is, puts with an $ 85.50 strike price that are trading at $ 10.56?
How about using out-of-the-money puts —say, those with a $ 71.00 strike price, trading at $1.10?
Explain.
Explanation / Answer
a) Put option payoffs when the stock price goes below the strike price.
Payoff = No. of puts x (Strike Price - Stock Price) = 88 x (77 - 60) = 1,496
Profit = Payoff - Cost = 1,496 - 88 x 2.54 = 1,272
b) If the stock price goes up, he would lose the premium paid, i.e. 88 x 2.54 = $224
c) Put provides the hedge with limited losses, i.e. initial premium. You do not have to pay anything else if the stock goes up, so your losses are limited.
d) Using in the money puts, profit = 88 x (85.5 - 60 - 10.56) = 1,315
Using out of money puts, profit = 88 x (71 - 60 - 1.1) = 871
Hence, Myles will be better off with in the money put options
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