How TT Represents Ticks
A price in ticks is always an integer value. With this in
mind, consider the following exchange contract specification
for FGBL.
| Product |
Eurex Euro-Bund (FGBL) |
Eurex Euro-Bund (FGBL) |
| Product type |
Future |
Calendar Spread |
| Point value |
€1000 |
€1000 |
| Tick size |
1/100 of a point |
1/100 of a point |
| Tick value |
€10 |
€10 |
Notice that the Tick Size is the same for both the futures and
the calendar spreads. Now assume that you bought one
FGBL-Sep20xDec20 spread at 1/100 and received the following
fills.
| Contract |
Buy/Sell |
Qty |
Price (Points-Fractional) |
| FGBL-Sep20 |
Buy |
1 |
114 15/100 |
| FGBL-Dec20 |
Sell |
1 |
114 14/100 |
Converting these prices to ticks format, you get:
-
Price (ticks) of FGBL-Sep20 = (114 15/100) / (1/100) = 11415
-
Price (ticks) of FGBL-Dec20 = (114 14/100) / (1/100) = 11411
If you then sold 1 FGBL-Sep20 future at 114 17/100, your
P&L for the FGBL-Sep20 contract would be:
-
P&L (contract currency) = 1 x (11417 – 11415) x €10 =
€20
Now consider the following exchange contract specifications
for the CBOT 30-year US Treasury Bond futures and calendar
spreads.
| Product |
CBOT 30-Year US Treasury Bonds (ZB) |
CBOT 30-Year US Treasury Bonds (ZB) |
| Product type |
Future |
Calendar Spread |
| Point value |
$1000 |
$1000 |
| Tick size |
1/32 of a point |
1/128 of a point |
| Tick value |
$31.25 |
$7.8125 |
Notice that the Tick Size and Tick Value of the calendar
spread is defined as a factor of four smaller than those of
the futures contract. Now assume that you bought one
ZB-Sep20xDec20 spread at 1/128 and received the following
fills:
| Contract |
Buy/Sell |
Qty |
Price (Points-Fractional) |
| ZB-Sep20 |
Buy |
1 |
114 15/128 |
| ZB-Dec20 |
Sell |
1 |
114 14/128 |
Converting these prices to ticks format, you get:
-
Price (Ticks) of ZB-Sep20 = (114 15/128) / (1/32) = 3651.75
-
Price (Ticks) of ZB-Dec20 = (114 14/128) / (1/32) = 3651.50
Notice that you can receive futures fill prices that are not
evenly divisible by the Tick Size when corresponding spreads
trade in a smaller Tick Size. Because ticks are integers,
these values would be incorrectly rounded to the nearest whole
number. All calculations involving these fill prices would
then be wrong, including P&L.
As a result, TT calculates the least common denominator of the
Tick Sizes of all contracts of the same product and defines
this as the TT Base Tick Size. TT also defines a TT Base Tick
Size Multiplier for each contract to calculate the actual Tick
Size. It determines the Tick Size for a contract using the
following formula:
-
Tick Size = TT Base Tick Size x TT Base Tick Size Multiplier
Because FGBL futures and calendar spreads have the same Tick
Size, TT sets the TT Base Tick Size of both to 1/100 and sets
the TT Base Tick Size Multiplier of both to 1, as shown:
| Product |
Eurex Euro-Bund (FGBL) |
Eurex Euro-Bund (FGBL) |
| Product Type |
Future |
Calendar Spread |
| Point Value |
€1000 |
€1000 |
| Tick Size |
1/100 of a point |
1/100 of a point |
| Tick Value |
€1000 |
€1000 |
| TT Base Tick Size |
1/100 of a point |
1/100 of a point |
| TT Base Tick Size Multiplier |
1 |
1 |
However, because ZB futures and calendar spreads have
different Tick Sizes, TT sets the TT Base Tick Size of both to
1/128 (128 is the least common denominator). TT also sets the
TT Base Tick Size Multiplier of the futures to 4 (since 1/128
x 4 = 1/32) and the TT Base Tick Size Multiplier of the
spreads to 1 (since 1/128 x 1 = 1/128).
| Product |
CBOT 30-Year US Treasury Bonds (ZB) |
CBOT 30-Year US Treasury Bonds (ZB) |
| Product Type |
Future |
Calendar Spread |
| Point Value |
$1000 |
$1000 |
| Tick Size |
1/32 of a point |
1/128 of a point |
| Tick Value |
$31.25 |
$7.8125 |
| TT Base Tick Size |
1/128 of a point |
1/128 of a point |
| TT Base Tick Size Multiplier |
4 |
1 |
TT applications use the TT Base Tick Size when converting a
price to ticks. For the FGBL fills listed above, the
calculations yield the same results, because the Tick Size and
the TT Base Tick Size are the same. For the ZB fills listed
above, however, the calculations yield the following:
-
Price (Ticks) of ZB-Sep20 = (114 15/128) / (1/128) = 14607
-
Price (Ticks) of ZB-Dec20 = (114 14/128) / (1/128) = 14606
Notice that the result represents the number of ticks of size
1/128. The TT Tick Value corresponding to the TT Tick Size is
calculated as follows:
-
TT Tick Value = Point Value x TT Tick Size = $1000 x (1/128)
= $7.8125
If you then sold 1 ZB-Sep20 future at 114 5/32 (dividing by
1/128 gives 14,612 ticks), your P&L for the ZB-Sep20
contract would be:
-
P&L (contract currency) = 1 x (14,612 – 14,607) x
$7.8125 = $39.0625
TT developed a variety of algorithms to convert prices in
points to the TT Display format, based on how traders prefer
to see prices for particular products in TT. For example, the
algorithm associated with Eurex FGBL futures simply converts
the price in points to a string without any additional
processing. For example, if the price of an FGBL contract in
Points is 100.02, TT displays “100.02”.
The algorithm associated with a CBOT ZB spread converts the
price in points to a string as shown in the following table.
Recall that the Tick Size of CBOT ZB spreads is 1/128,
sometimes known in the industry as “1/4 of 1/32”.
| Full Price |
Points (Fractional) |
Points (Decimal) |
Ticks |
TT Display |
| $2,062.50 |
2 2/128 (2 0.5/32) |
2.0156250 |
258 |
2005 |
| $2,031.25 |
2 1/128 (2 0.25/32) |
2.0078125 |
257 |
2002 |
| $2,000.00 |
2 0/128 (2 0.0/32) |
2.0000000 |
256 |
2000 |
| $1,968.75 |
1 127/128 (1 31.75/32) |
1.9921875 |
255 |
1317 |
| $1,937.50 |
1 126/128 (1 31.5/32) |
1.9843750 |
254 |
1315 |