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Yield Curve
[This yield curve provides the interest rates used to calculate index arbitrage program trading values.]
Updated: Friday, July-04-2008
6:30pm ET

Yield Curve Used to Calculate Index Arbitrage Program Trading Values

 
Notes:
The yield curve is constructed daily as piecewise linear segments.
Individual segments are constructed as zero coupon yields from current quotations for deposit rates and Eurodollar futures. The segments are consecutively linked mathematically, according to conventional yield curve construction techniques.
Quotations for deposit rates and Eurodollar futures are used to construct the yield curve because they are actively traded and, therefore, have good price (and yield) discovery.
The interest rate for a given index future is determined by selecting the yield that corresponds to its settlement (expiration) date on the yield curve. Internally, this is accomplished by interpolation, using the two yields at the nodes of the relevant line segment; viz., the line segment defined by the date coordinates that surround the futures' expiration date.
The interest rates in the following tables are rounded to six decimal places; internal precision is maintained to at least twelve decimal places.


Yield Curve Data Used to Construct the Above Graph
Yield Curve Origin Date is 07-07-2008
Date Number
of Days
from Origin
Interest Rate
(%)
07-07-20080.000000 
07-08-20082.203727 
08-07-200831 2.522827 
10-15-2008100 2.814552 
11-19-2008135 2.787687 
12-17-2008163 2.811730 
01-14-2009191 2.859465 
02-18-2009226 2.902073 
03-18-2009254 2.937313 
06-17-2009345 3.038255 
09-16-2009436 3.141467 
12-16-2009527 3.256556 
03-17-2010618 3.384440 


 
Table of the active index futures and the interest rates
(derived from the above yield curve)
that are used to calculate their index arbitrage program trading values.
 Index Futures Index Futures
Expiration Date
Number
of Days
from Origin
Interest Rate
(%)
S&P 500      
  SEP 2008 09-19-2008   76   2.713082  
  DEC 2008 12-19-2008   167   2.818550  
  MAR 2009 03-20-2009   258   2.941750  
  JUN 2009 06-19-2009   349   3.042792  
  SEP 2009 09-18-2009   440   3.146526  
  DEC 2009 12-18-2009   531   3.262177  
Nasdaq 100      
  SEP 2008 09-19-2008   74   2.704626  
  DEC 2008 12-19-2008   165   2.815140  
  MAR 2009 03-20-2009   256   2.939531  
  JUN 2009 06-19-2009   347   3.040524  
Dow Jones      
  SEP 2008 09-19-2008   76   2.713082  
  DEC 2008 12-19-2008   167   2.818550  
  MAR 2009 03-20-2009   258   2.941750  


 

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