Fractional Pricing - Display Examples

This topic provides examples of the conversion process for CME Group products that require a decimal-to-fractional price conversion. 

The following provides examples of the application of the tag 9800-PriceDisplayFormat.

Acronym Key

Tick Display Format

TDF

The fractional format for a given instrument (e.g. 32nds).

Number of Decimals in Displayed Price

NDDP

Identifies the number of decimals in the price sent by CME Globex for a given instrument.
This value is a property of the tag 9800-PriceDisplayFormat for the given instrument

Treasuries

30 Yr Bonds FUTURE, TDF 32, NDDP 2



30 Yr Bonds FUTURE, TDF 32, NDDP 2



Original decimal price

115.28125

Fractional part after conversion

9 (.28125 x 32)

Integer part and fractional part

115 09

Apply NDDP of 02

115 09
    ^^
    12 (Display places)

Resulting formatted price

115'09

30 Yr Bonds FUTURE with Reduced
Tick Spread, TDF 32, NDDP 3



Original decimal price

115.28125

Fractional part after conversion

9 (.28125 x 32)

Integer part and fractional part

115 090

Apply NDDP of 03

115 090
    ^^^
    123 (Display places)

Resulting formatted price

115'090

10 Yr Note FUTURE, TDF 32, NDDP 3



Original decimal price

112.625

Fractional part after conversion

20 (.625 x 32)

Integer part and fractional part

112 20

Apply NDDP of 03

112 20
    ^^^
    123 (Display places)

Resulting formatted price

112'200

5 Yr Note FUTURE, TDF 32, NDDP 3



Original decimal price

108.109375

Fractional part after conversion

3.5 (.109375 x 32)

Integer part and fractional part

108 035

Apply NDDP of 03

108 035
    ^^^
    123 (Display places)

Resulting formatted price

108'035

2 Yr Note FUTURE, TDF 32, NDDP 3



Original decimal price

104.8828125

Fractional part after conversion

28.25 (.8828125 x 32)

Integer part and fractional part

104 2825

Apply NDDP of 03

104 2825
    ^^^
    123 (Display places)

Resulting formatted price

104'282


Display Example 1: Two-Year U.S. Treasury Note Futures

Decimal Price: 108.69921875

TDF = '32'

NDDP = '03'

Integer part is 108, fractional part is 0.69921875

Starting Fractional part

0.69921875

TDF = 32

Tick value after conversion

0.69921875 x 32 

= 22.375

Strip decimal separator

= 22375

Apply NDDP

= 22375 
  ^^^ 
 123 (Display places)

Resulting formatted tick value

= 223


To display the full formatted price, append the formatted tick value, '223' to the original integer part, '108'.

Resulting full formatted price:  108'223

Display Example 2: 30-Day Fed Funds Options

This example is the special case of conversion based on TDFT = '02', and NDDP = '01'.  For this combination, NDDP is to be treated as '00'.

Decimal Price: 22.5

TDF = '02'

NDDP = '01'

Important

Per the exception for the combination of TDF = 02 and NDDP = 01, the NDDP is to be evaluated as 00.
Evaluated NDDP: 00

Integer part is 22, fractional part is 0.5

Starting fractional part

0.5

TDF = 02 indicates that the fractional part is base-10 so no conversion is necessary.

Resulting tick value = .5 

Strip decimal separator

= 5

Apply NDDP
(NDDP of 00 effectively truncates the fractional portion)

= 5
  ^^
 01234 (Display places)

Resulting formatted tick value

= no value, fractional portion is truncated

To display the full formatted price, append the formatted tick value, (no value) to the original integer part, '22'.

Resulting full formatted price:  22

Incorrect Example

Original decimal price

113.5078125

Fractional part after conversion
(Incorrect: decimal separator should be stripped as part of formatting the fractional part)

16.25

Integer part and fractional part
(Incorrect: decimal separator should be stripped as part of formatting the fractional part)

113 16.25

Apply NDDP of 03
(Incorrect: NDDP should be applied to the start of the fractional part, not the decimal separator within)

113 16.25
       ^^^^
       1234 (Display places)

Resulting formatted price
(Incorrect: price should be 113'162)

11316'250

 




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