The effect of a regular dividend on a well-defined payment schedule is rather easy to assess in an option pricing model. Keep in mind that we are talking about past regular dividend payments being a predictor of future action. The company itself is only obliged to pay a dividend already declared, and every declaration is an independent event. The company declaring a quarterly dividend 200 quarters in a row is just that, history, and does not obligate the company to declare a dividend in quarter 201. Also, and sometimes equally important, the date on which the stock becomes ex-dividend historically may change slightly, causing it to fall unexpectedly on a different side of the monthly option expiration than predicted. The simple addition or change in predicted dividend patterns can be easily handled by any option pricing model. To illustrate, I have used the stock eBay Inc. (EBAY) for the purposes of example. Let us assume, without laughing too hard, that the eBay Board of Directors decides to declare a quarterly dividend of $.40 starting on 2/12/02. How will the "drag" on the stock price caused by the actual payment of cash affect the option pricing going forward? The following table represents a sample of theoretical Call prices with the only variable changing being the addition of the dividend stream. The stock price is $66.45 on 12/27/01 with a predicted volatility of 60. |
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|
Option |
Theoretical
Value Without Dividend |
Theoretical
Value With Dividend |
|
JAN
65 Call |
$4.83 |
$4.83 |
|
FEB
65 Call |
$6.87 |
$6.81 |
|
APR
65 Call |
$10.01 |
$9.75 |
|
JUL
65 Call |
$13.31 |
$12.73 |
|
JAN
70 (03) Call |
$16.28 |
$15.44 |
|
JAN
70 (04) Call |
$23.50 |
$21.99 |
|