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This topic provides all permutations of fractional price type and tick size.

*For products that tick in modified fourths (30-Day Fed Funds options and Rough Rice options), the decimal ‘.5’ is implied in the price display. The Number of Decimals in Displayed Price will be sent out as ‘01’ but should be treated as ‘00’. For example, an actual price of ’12.5’ would be displayed as ‘12’ even though the Number of Decimals in Displayed price value ‘01’ normally dictates a display of ’12.5’. Therefore, client systems must include the .5 in the fractional conversion to decimal calculation for these products.

Tick Conversion Grid

The Tick Conversion Grid shows the display value for a given decimal to formatted fractional tick.

 Click here to view the grid.

TDFT = Tick Display Format Type

NDDP = Number of Decimals in Display Price

TDFT01020408163264


NDDP0001*0101020202030303
0

0000000000000000
0.0078125







002005
0.015625





01005005010
0.0234375







007015
0.03125




0102010010020
0.0390625







1225
0.046875





03015015030
0.0546875







017035
0.0625



010204020020040
0.0703125







2245
0.078125





05025025050
0.0859375







027055
0.09375




0306030030060
0.1015625







032065
0.109375





07035035070
0.1171875







037075
0.125


1020408040040080
0.1328125







042085
0.140625





09045045090
0.1484375







047095
0.15625




0510050050100
0.1640625







052105
0.171875





115555110
0.1796875







57115
0.1875



030612060060120
0.1953125







062125
0.203125





13065065130
0.2109375







067135
0.21875




0714070070140
0.2265625







072145
0.234375





15075075150
0.2421875







077155
0.25

22040816080080160
0.2578125







082165
0.265625





17085085170
0.2734375







087175
0.28125




0918090090180
0.2890625







092185
0.296875





19095095190
0.3046875







097195
0.3125



051020100100200
0.3203125







102205
0.328125





21105105210
0.3359375







107215
0.34375




1122110110220
0.3515625







112225
0.359375





23115115230
0.3671875







117235
0.375


3061224120120240
0.3828125







122245
0.390625





25125125250
0.3984375







127255
0.40625




1326130130260
0.4140625







132265
0.421875





27135135270
0.4296875







137275
0.4375



071428140140280
0.4453125







142285
0.453125





29145145290
0.4609375







147295
0.46875




1530150150300
0.4765625







152305
0.484375





31155155310
0.4921875







157315
0.5

54081632160160320
0.5078125







162325
0.515625





33165165330
0.5234375







167335
0.53125




1734170170340
0.5390625







172345
0.546875





35175175350
0.5546875







177355
0.5625



091836180180360
0.5703125







182365
0.578125





37185185370
0.5859375







187375
0.59375




1938190190380
0.6015625







192385
0.609375





39195195390
0.6171875







197395
0.625


5102040200200400
0.6328125







202405
0.640625





41205205410
0.6484375







207415
0.65625




2142210210420
0.6640625







212425
0.671875





43215215430
0.6796875







217435
0.6875



112244220220440
0.6953125







222445
0.703125





45225225450
0.7109375







227455
0.71875




2346230230460
0.7265625







232465
0.734375





47235235470
0.7421875







237475
0.75

76122448240240480
0.7578125







242485
0.765625





49245245490
0.7734375







247495
0.78125




2550250250500
0.7890625







252505
0.796875





51255255510
0.8046875







257515
0.8125



132652260260520
0.8203125







262525
0.828125





53265265530
0.8359375







267535
0.84375




2754270270540
0.8515625







272545
0.859375





55275275550
0.8671875







277555
0.875


7142856280280560
0.8828125







282565
0.890625





57285285570
0.8984375







287575
0.90625




2958290290580
0.9140625







292585
0.921875





59295295590
0.9296875







297595
0.9375



153060300300600
0.9453125







302605
0.953125





61305305610
0.9609375







307615
0.96875




3162310310620
0.9765625







312625
0.984375





63315315630
0.9921875







317635
1

00000000000000000
Tick Display Format Type 01-08
 Click here to view the grid.

TDFT = Tick Display Format Type

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal             
TDFT01020408
NDDP0001*0101



TicksDecimalTicksDecimal



0000



20.2510.125



50.520.25



70.7530.375





40.5





50.625





60.75





70.875
Tick Display Format Type 16 - 32
 Click here to view the grid.

TDFT = Tick Display Format Type

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal      
TDF1632
NDDP22
TicksDecimalTicksDecimalTicksDecimal
0000160.5
10.062510.03125170.53125
20.12520.0625180.5625
30.187530.09375190.59375
40.2540.125200.625
50.312550.15625210.65625
60.37560.1875220.6875
70.437570.21875230.71875
80.580.25240.75
90.562590.28125250.78125
100.625100.3125260.8125
110.6875110.34375270.84375
120.75120.375280.875
130.8125130.40625290.90625
140.875140.4375300.9375
150.9375150.46875310.96875
Tick Display Format Type 64 - Half 1/32
 Click here to view the grid.

TDFT = Tick Display Format Type

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal
TDFT64Half 1/32 Tick
NDDP23
TicksDecimalTicksDecimalTicksDecimalTicksDecimal
00320.5001600.5
10.015625330.51562550.0156251650.515625
20.03125340.53125100.031251700.53125
30.046875350.546875150.0468751750.546875
40.0625360.5625200.06251800.5625
50.078125370.578125250.0781251850.578125
60.09375380.59375300.093751900.59375
70.109375390.609375350.1093751950.609375
80.125400.625400.1252000.625
90.140625410.640625450.1406252050.640625
100.15625420.65625500.156252100.65625
110.171875430.671875550.1718752150.671875
120.1875440.6875600.18752200.6875
130.203125450.703125650.2031252250.703125
140.21875460.71875700.218752300.71875
150.234375470.734375750.2343752350.734375
160.25480.75800.252400.75
170.265625490.765625850.2656252450.765625
180.28125500.78125900.281252500.78125
190.296875510.796875950.2968752550.796875
200.3125520.81251000.31252600.8125
210.328125530.8281251050.3281252650.828125
220.34375540.843751100.343752700.84375
230.359375550.8593751150.3593752750.859375
240.375560.8751200.3752800.875
250.390625570.8906251250.3906252850.890625
260.40625580.906251300.406252900.90625
270.421875590.9218751350.4218752950.921875
280.4375600.93751400.43753000.9375
290.453125610.9531251450.4531253050.953125
300.46875620.968751500.468753100.96875
310.484375630.9843751550.4843753150.984375
Tick Display Format Quarter 1/32
 Click here to view the grid.

TDFT = Tick Display Format Type

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal
TDFTQuarter 1/32 Tick
NDDP3
TicksDecimalTicksDecimalTicksDecimalTicksDecimal
0000.00000000800.25000001600.50000002400.7500000
0020.00781250820.25781251620.50781252420.7578125
0050.01562500850.26562501650.51562502450.7656250
0070.02343750870.27343751670.52343752470.7734375
0100.03125000900.28125001700.53125002500.7812500
0120.03906250920.28906251720.53906252520.7890625
0150.04687500950.29687501750.54687502550.7968750
0170.05468750970.30468751770.55468752570.8046875
0200.06250001000.31250001800.56250002600.8125000
0220.07031251020.32031251820.57031252620.8203125
0250.07812501050.32812501850.57812502650.8281250
0270.08593751070.33593751870.58593752670.8359375
0300.09375001100.34375001900.59375002700.8437500
0320.10156251120.35156251920.60156252720.8515625
0350.10937501150.35937501950.60937502750.8593750
0370.11718751170.36718751970.61718752770.8671875
0400.12500001200.37500002000.62500002800.8750000
0420.13281251220.38281252020.63281252820.8828125
0450.14062501250.39062502050.64062502850.8906250
0470.14843751270.39843752070.64843752870.8984375
0500.15625001300.40625002100.65625002900.9062500
0520.16406251320.41406252120.66406252920.9140625
0550.17187501350.42187502150.67187502950.9218750
0570.17968751370.42968752170.67968752970.9296875
0600.18750001400.43750002200.68750003000.9375000
0620.19531251420.44531252220.69531253020.9453125
0650.20312501450.45312502250.70312503050.9531250
0670.21093751470.46093752270.71093753070.9609375
0700.21875001500.46875002300.71875003100.9687500
0720.22656251520.47656252320.72656253120.9765625
0750.23437501550.48437502350.73437503150.9843750
0770.24218751570.49218752370.74218753170.9921875
Tick Display Format Eighth 1/32
 Click here to expand...

Formatted Fractional Tick to Decimal

TDFT

Eighth 1/32 Tick

NDDP

3

Display Ticks

Decimal

Display Ticks

Decimal

Display Ticks

Decimal

Display Ticks

Decimal

000

0.0000000

080

0.2500000

160

0.5000000

240

0.7500000

001

0.00390625

081

0.25390625

161

0.50390625

241

0.75390625

002

0.0078125

082

0.2578125

162

0.5078125

242

0.7578125

003

0.01171875

083

0.26171875

163

0.51171875

253

0.76171875

005

0.0156250

085

0.2656250

165

0.5156250

245

0.7656250

006

0.01953125

086

0.26953125

166

0.51953125

246

0.76953125

007

0.0234375

087

0.2734375

167

0.5234375

247

0.7734375

008

0.02734375

088

0.27734375

168

0.52734375

248

0.77734375

010

0.0312500

090

0.2812500

170

0.5312500

250

0.7812500

011

0.03515625

091

0.28515625

171

0.53515625

251

0.78515625

012

0.0390625

092

0.2890625

172

0.5390625

252

0.7890625

013

0.04296875

093

0.29296875

173

0.54296875

253

0.79296875

015

0.0468750

095

0.2968750

175

0.5468750

255

0.7968750

016

0.05078125

096

0.30078125

176

0.55078125

256

0.80078125

017

0.0546875

097

0.3046875

177

0.5546875

257

0.8046875

018

0.05859375

098

0.30859375

178

0.55859375

258

0.80859375

020

0.0625000

100

0.3125000

180

0.5625000

260

0.8125000

021

0.06640625

101

0.31640625

181

0.56640625

261

0.81640625

022

0.0703125

102

0.3203125

182

0.5703125

262

0.8203125

023

0.07421875

103

0.32421875

183

0.57421875

263

0.82421875

025

0.078125

105

0.3281250

185

0.5781250

265

0.8281250

026

0.08203125

106

0.33203125

186

0.58203125

266

0.83203125

027

0.0859375

107

0.3359375

187

0.5859375

267

0.8359375

028

0.08984375

108

0.33984375

188

0.58984375

268

0.83984375

030

0.0937500

110

0.3437500

190

0.5937500

270

0.8437500

031

0.09765625

111

0.34765625

191

0.59765625

271

0.84765625

032

0.1015625

112

0.3515625

192

0.6015625

272

0.8515625

033

0.10546875

113

0.35546875

193

0.60546875

273

0.85546875

035

0.1093750

115

0.3593750

195

0.6093750

275

0.8593750

036

0.11328125

116

0.36328125

196

0.61328125

276

0.86328125

037

0.1171875

117

0.3671875

197

0.6171875

277

0.8671875

038

0.12109375

118

0.37109375

198

0.62109375

278

0.87109375

040

0.1250000

120

0.3750000

200

0.6250000

280

0.8750000

041

0.12890625

121

0.37890625

201

0.62890625

281

0.87890625

042

0.1328125

122

0.3828125

202

0.6328125

282

0.8828125

043

0.13671875

123

0.38671875

203

0.63671875

283

0.88671875

045

0.1406250

125

0.3906250

205

0.6406250

285

0.8906250

046

0.14453125

126

0.39453125

206

0.64453125

286

0.89453125

047

0.1484375

127

0.3984375

207

0.6484375

287

0.8984375

048

0.15234375

128

0.40234375

208

0.65234375

288

0.90234375

050

0.1562500

130

0.4062500

210

0.6562500

290

0.9062500

051

0.16015625

131

0.41015625

211

0.66015625

291

0.91015625

052

0.1640625

132

0.4140625

212

0.6640625

292

0.9140625

053

0.16796875

133

0.41796875

213

0.66796875

293

0.91796875

055

0.1718750

135

0.4218750

215

0.6718750

295

0.9218750

056

0.17578125

136

0.42578125

216

0.67578125

296

0.92578125

057

0.1796875

137

0.4296875

217

0.6796875

297

0.9296875

058

0.18359375

138

0.43359375

218

0.68359375

298

0.93359375

060

0.1875000

140

0.4375000

220

0.6875000

300

0.9375000

061

0.19140625

141

0.44140625

221

0.69140625

301

0.94140625

062

0.1953125

142

0.4453125

222

0.6953125

302

0.9453125

063

0.19921875

143

0.44921875

223

0.69921875

303

0.94921875

065

0.2031250

145

0.4531250

225

0.7031250

305

0.9531250

066

0.20703125

146

0.45703125

226

0.70703125

306

0.95703125

067

0.2109375

147

0.4609375

227

0.7109375

307

0.9609375

068

0.21484375

148

0.46484375

228

0.71484375

308

0.96484375

070

0.2187500

150

0.4687500

230

0.7187500

310

0.9687500

071

0.22265625

151

0.47265625

231

0.72265625

311

0.97265625

072

0.2265625

152

0.4765625

232

0.7265625

312

0.9765625

073

0.23046875

153

0.48046875

233

0.73046875

313

0.98046875

075

0.2343750

155

0.4843750

235

0.7343750

315

0.9843750

076

0.23828125

156

0.48828125

236

0.73828125

316

0.98828125

077

0.2421875

157

0.4921875

237

0.7421875

317

0.9921875

078

0.24609375

158

0.49609375

238

0.74609375

318

0.99609375


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