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  Forum  Discussions  Options  Covered Call vs. Naked Put
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New Post 9/22/2008 12:23 AM
  Stan
3 posts
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Covered Call vs. Naked Put 

On your podcast, you mentioned that a covered call is identical to a naked put. How can that be true if the costs are so different?

 
New Post 9/24/2008 10:02 AM
  admin
12 posts
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Re: Covered Call vs. Naked Put 
While it may not seem possible, both strategies are identical. It's probably easier to show two investors who are identical but use different strategies. Assume you have Investors A and B with $5,000 cash each.
 
Investor A buys shares for $50 and sells a $50 call for $3. He spends his $5,000 on the stock and receives $300 cash which earns interest.
 
Investor B sells a naked put, which we'll assume for the moment is for $3 too. He now has $5,300 cash and the potential obligation to buy shares for $50.
 
Now outline various stock prices and see what happens:
 
Stock price is same: If the stock price is $50 at expiration, both options expire worthless and both investors make $300.
 
Stock price rises: Assume price rises to $60. Investor A gets assigned and is required to sell his shares for $50, which is exactly what he paid. His profit will be the $300 received from the call. Investor Bs put expires worthless and he keeps $300 from the put.
 
Stock price falls: Now assume the stock price falls to $40 at expiration. Investor A loses $10 on his stock, which is offset by the $300 call premium for a total $7 loss. Investor B will get assigned on his short put and be required to buy 100 shares for $50 -- even though they are trading for $40. He immediately has a $10 loss, which is also offset by the $3 put premium for a total loss of $7.
 
Now, the one thing you might think is still not accounted for is the interest factor. Investor A spends cash today and does not earn interest. Investor B keeps his cash and earns interest. However, that is accounted for too. Investor B will not receive $3 for the put. The price of the put will be $3 less the cost-of-carry on the exercise price! In other words, the at-the-money call's price always exceeds the put's price by the amount of interest that will be lost by purchasing the stock.
 
The two positions -- covered call and naked put -- are absolutely identical. Of course, in the real world of trading, you'll pay two commissions for the covered call and only one for the naked put. However, you'll also post a margin requirement for the naked put (roughly 25% of the underlying stock's value).  Those, however, are man-made restrictions. The two strategies by themselves -- covered call and naked put -- are identical.

 

 

 
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