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The ex-date or ex-dividend date represents the date on or after which a security is traded without a previously declared dividend or distribution. [1] The opening price on the ex-dividend date, in comparison to the previous closing price, can be expected to decrease by the amount of the dividend, although this change may be obscured by other ...
The Black–Scholes formula (hereinafter, "BS Formula") provides an explicit equation for the value of a call option on a non-dividend paying stock. In case the stock pays one or more discrete dividend(s) no closed formula is known, but several approximations can be used, or else the Black–Scholes PDE will have to be solved numerically.
The ex-dividend date, i.e. the first date in which a new buyer of shares would not be entitled to the dividend, is the business day prior to the record date (see ex-dividend date for exceptions). In the case of a special dividend of 25% or more, however, special rules that are quite different apply.
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The price/dividend first estimate of 25 years is easily calculated. If we assume an additional 33% duration to account for the discounted value of future dividend payments, that yields a duration of 33.3 years. Present value of the dividend payment in year one is $4, year two $4*1.065*.921=$3.92, year three $3.85, etc.