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Dividend Analysis
Updated: Wednesday, July-28-2010
7:35pm ET


Why are dividends important for determining index arbitrage conditions?
  • The fair value premium equals the interest earned on the spot index minus dividends earned by the stocks that comprise the index. The relevant time period is from the current date until the future's expiration.
  • As you might imagine, controversy exists about how to implement the above equation: some arbitrageurs measure dividends by yield; others (correctly in our opinion) by amount.
  • Both measures are presented here.

  Dividend Yields

 Index Aggregate Value of Index Components

[S&P and Nasdaq in millions.
Dow Jones in units.]
Aggregate Dividends

[Next four quarters]

[S&P and Nasdaq in millions.
Dow Jones in units.]
Dividend Yield (%)

[Aggregate Dividends divided by Aggregate Value]
Link Button to Individual Stock Dividend Yields
 S&P
[Floating Capitalization Weighted: stock price and per-share dividend are multiplied by the number of floating shares and then scaled to millions.]
10,009,877.196 215,822.022 2.16
 Nasdaq 100
[Modified Cap. Weighted: stock price and per-share dividend are multiplied by the Nasdaq weight factors and then scaled to millions.]
2,923,115.840 21,886.421 0.75
 Dow Jones
[Price Weighted: Sum of prices and dividends of stocks in the DJIA index.
(N.B. Divide stock price sum by the DJIA divisor to get the index value.) ]
1,387.080 39.684 2.86

 

  Dividend Amounts

Futures Total Dividends in Index Futures Period

[From July-29-2010 to
each future's expiration]

[S&P and Nasdaq 100 dividends are cap. weighted and in millions;
Dow Jones dividends are unweighted and in units.]
Divisor Adjusted Dividends

Total Dividends in Index Futures Period divided by the index divisor.

 Index Divisors:
  S&P 500 (Derived) 9,049.45819756
  Nasdaq 100 1,560.97651414
  Dow Jones Ind. Avg. 0.13212949
Link Button to Individual Stock Dividends
S&P 500      
    SEP 2010 34,374.013      3.798     
    DEC 2010 86,596.095      9.569     
    MAR 2011 142,531.076      15.750     
    JUN 2011 195,984.835      21.657     
Nasdaq 100      
    SEP 2010 3,851.709      2.467     
    DEC 2010 9,491.446      6.080     
Dow Jones      
    SEP 2010 7.106      53.782     
    DEC 2010 16.874      127.710     


 
Notes to the Calculations
  • Internal values have a precision of at least twelve decimal places. Displayed values, however, are rounded to three decimal places.
  • Therefore, if you divide the rounded amounts in the above two tables, you may get slightly different values.
    [For example, division of the rounded values for Total Dividends in Index Futures Period by the appropriate index divisor to obtain the Divisor Adjusted Dividends may produce slightly different values.] The correct values are those displayed.
 

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