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Yield Curve
[This yield curve provides the interest rates used to calculate index arbitrage program trading values.]
Updated: Friday, Feb-03-2012
11:55pm 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 02-06-2012
Date Number
of Days
from Origin
Interest Rate
(%)
02-06-20120.000000 
02-07-20120.294459 
03-06-201229 0.444280 
05-16-2012100 0.478650 
06-20-2012135 0.449429 
07-18-2012163 0.441679 
08-15-2012191 0.432454 
09-19-2012226 0.429340 
10-17-2012254 0.433416 
12-19-2012317 0.440009 
03-20-2013408 0.450612 


 
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      
  MAR 2012 03-16-2012   41   0.450089  
  JUN 2012 06-15-2012   132   0.451934  
  SEP 2012 09-21-2012   230   0.429923  
  DEC 2012 12-21-2012   322   0.440591  
Nasdaq 100      
  MAR 2012 03-16-2012   39   0.449121  
  JUN 2012 06-15-2012   130   0.453603  
  SEP 2012 09-21-2012   228   0.429632  
Dow Jones      
  MAR 2012 03-16-2012   41   0.450089  
  JUN 2012 06-15-2012   132   0.451934  
  SEP 2012 09-21-2012   230   0.429923  


 

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