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

Table of Contents
Info

*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.

...

Expand
titleClick here to view the grid.

TDF = Tick Display Format

NDDP = Number of Decimals in Display Price

TDF

01

02

04

08

16

32

64

NDDP

00

01*

01

01

02

02

02

03

03

03

0

0

0

00

00

00

00

000

000

0.0078125

002

005

0.015625

01

005

005

010

0.0234375

007

015

0.03125

01

02

010

010

020

0.0390625

12

25

0.046875

03

015

015

030

0.0546875

017

035

0.0625

01

02

04

020

020

040

0.0703125

22

45

0.078125

05

025

025

050

0.0859375

027

055

0.09375

03

06

030

030

060

0.1015625

032

065

0.109375

07

035

035

070

0.1171875

037

075

0.125

1

02

04

08

040

040

080

0.1328125

042

085

0.140625

09

045

045

090

0.1484375

047

095

0.15625

05

10

050

050

100

0.1640625

052

105

0.171875

11

55

55

110

0.1796875

57

115

0.1875

03

06

12

060

060

120

0.1953125

062

125

0.203125

13

065

065

130

0.2109375

067

135

0.21875

07

14

070

070

140

0.2265625

072

145

0.234375

15

075

075

150

0.2421875

077

155

0.25

2

2

04

08

16

080

080

160

0.2578125

082

165

0.265625

17

085

085

170

0.2734375

087

175

0.28125

09

18

090

090

180

0.2890625

092

185

0.296875

19

095

095

190

0.3046875

097

195

0.3125

05

10

20

100

100

200

0.3203125

102

205

0.328125

21

105

105

210

0.3359375

107

215

0.34375

11

22

110

110

220

0.3515625

112

225

0.359375

23

115

115

230

0.3671875

117

235

0.375

3

06

12

24

120

120

240

0.3828125

122

245

0.390625

25

125

125

250

0.3984375

127

255

0.40625

13

26

130

130

260

0.4140625

132

265

0.421875

27

135

135

270

0.4296875

137

275

0.4375

07

14

28

140

140

280

0.4453125

142

285

0.453125

29

145

145

290

0.4609375

147

295

0.46875

15

30

150

150

300

0.4765625

152

305

0.484375

31

155

155

310

0.4921875

157

315

0.5

5

4

08

16

32

160

160

320

0.5078125

162

325

0.515625

33

165

165

330

0.5234375

167

335

0.53125

17

34

170

170

340

0.5390625

172

345

0.546875

35

175

175

350

0.5546875

177

355

0.5625

09

18

36

180

180

360

0.5703125

182

365

0.578125

37

185

185

370

0.5859375

187

375

0.59375

19

38

190

190

380

0.6015625

192

385

0.609375

39

195

195

390

0.6171875

197

395

0.625

5

10

20

40

200

200

400

0.6328125

202

405

0.640625

41

205

205

410

0.6484375

207

415

0.65625

21

42

210

210

420

0.6640625

212

425

0.671875

43

215

215

430

0.6796875

217

435

0.6875

11

22

44

220

220

440

0.6953125

222

445

0.703125

45

225

225

450

0.7109375

227

455

0.71875

23

46

230

230

460

0.7265625

232

465

0.734375

47

235

235

470

0.7421875

237

475

0.75

7

6

12

24

48

240

240

480

0.7578125

242

485

0.765625

49

245

245

490

0.7734375

247

495

0.78125

25

50

250

250

500

0.7890625

252

505

0.796875

51

255

255

510

0.8046875

257

515

0.8125

13

26

52

260

260

520

0.8203125

262

525

0.828125

53

265

265

530

0.8359375

267

535

0.84375

27

54

270

270

540

0.8515625

272

545

0.859375

55

275

275

550

0.8671875

277

555

0.875

7

14

28

56

280

280

560

0.8828125

282

565

0.890625

57

285

285

570

0.8984375

287

575

0.90625

29

58

290

290

580

0.9140625

292

585

0.921875

59

295

295

590

0.9296875

297

595

0.9375

15

30

60

300

300

600

0.9453125

302

605

0.953125

61

305

305

610

0.9609375

307

615

0.96875

31

62

310

310

620

0.9765625

312

625

0.984375

63

315

315

630

0.9921875

317

635

1

0

0

00

00

00

000

000

000

Tick Display Format 01-08

Expand
titleClick here to view the grid.

TDF = Tick Display Format

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal             

TDF

01

02

04

08

NDDP

00

01*

01

01

Ticks

Decimal

Ticks

Decimal

0

0

0

0

2

0.25

1

0.125

5

0.5

2

0.25

7

0.75

3

0.375

4

0.5

5

0.625

6

0.75

7

0.875

Tick Display Format Type 16 - 32

Expand
titleClick here to view the grid.

TDF = Tick Display Format

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal      

TDF

16

32

NDDP

2

2

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

0

0

0

0

16

0.5

1

0.0625

1

0.03125

17

0.53125

2

0.125

2

0.0625

18

0.5625

3

0.1875

3

0.09375

19

0.59375

4

0.25

4

0.125

20

0.625

5

0.3125

5

0.15625

21

0.65625

6

0.375

6

0.1875

22

0.6875

7

0.4375

7

0.21875

23

0.71875

8

0.5

8

0.25

24

0.75

9

0.5625

9

0.28125

25

0.78125

10

0.625

10

0.3125

26

0.8125

11

0.6875

11

0.34375

27

0.84375

12

0.75

12

0.375

28

0.875

13

0.8125

13

0.40625

29

0.90625

14

0.875

14

0.4375

30

0.9375

15

0.9375

15

0.46875

31

0.96875

Tick Display Format 64 - Half 1/32

Expand
titleClick here to view the grid.

TDF = Tick Display Format

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal

TDF

64

Half 1/32 Tick

NDDP

2

3

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

0

0

32

0.5

0

0

160

0.5

1

0.015625

33

0.515625

5

0.015625

165

0.515625

2

0.03125

34

0.53125

10

0.03125

170

0.53125

3

0.046875

35

0.546875

15

0.046875

175

0.546875

4

0.0625

36

0.5625

20

0.0625

180

0.5625

5

0.078125

37

0.578125

25

0.078125

185

0.578125

6

0.09375

38

0.59375

30

0.09375

190

0.59375

7

0.109375

39

0.609375

35

0.109375

195

0.609375

8

0.125

40

0.625

40

0.125

200

0.625

9

0.140625

41

0.640625

45

0.140625

205

0.640625

10

0.15625

42

0.65625

50

0.15625

210

0.65625

11

0.171875

43

0.671875

55

0.171875

215

0.671875

12

0.1875

44

0.6875

60

0.1875

220

0.6875

13

0.203125

45

0.703125

65

0.203125

225

0.703125

14

0.21875

46

0.71875

70

0.21875

230

0.71875

15

0.234375

47

0.734375

75

0.234375

235

0.734375

16

0.25

48

0.75

80

0.25

240

0.75

17

0.265625

49

0.765625

85

0.265625

245

0.765625

18

0.28125

50

0.78125

90

0.28125

250

0.78125

19

0.296875

51

0.796875

95

0.296875

255

0.796875

20

0.3125

52

0.8125

100

0.3125

260

0.8125

21

0.328125

53

0.828125

105

0.328125

265

0.828125

22

0.34375

54

0.84375

110

0.34375

270

0.84375

23

0.359375

55

0.859375

115

0.359375

275

0.859375

24

0.375

56

0.875

120

0.375

280

0.875

25

0.390625

57

0.890625

125

0.390625

285

0.890625

26

0.40625

58

0.90625

130

0.40625

290

0.90625

27

0.421875

59

0.921875

135

0.421875

295

0.921875

28

0.4375

60

0.9375

140

0.4375

300

0.9375

29

0.453125

61

0.953125

145

0.453125

305

0.953125

30

0.46875

62

0.96875

150

0.46875

310

0.96875

31

0.484375

63

0.984375

155

0.484375

315

0.984375

Tick Display Format Quarter 1/32

Expand
titleClick here to view the grid.

TDF = Tick Display Format

NDDP = Number of Decimals in Display Price

Formatted Fractional Tick to Decimal

TDF

Quarter 1/32 Tick

NDDP

3

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

000

0.0000000

080

0.2500000

160

0.5000000

240

0.7500000

002

0.0078125

082

0.2578125

162

0.5078125

242

0.7578125

005

0.0156250

085

0.2656250

165

0.5156250

245

0.7656250

007

0.0234375

087

0.2734375

167

0.5234375

247

0.7734375

010

0.0312500

090

0.2812500

170

0.5312500

250

0.7812500

012

0.0390625

092

0.2890625

172

0.5390625

252

0.7890625

015

0.0468750

095

0.2968750

175

0.5468750

255

0.7968750

017

0.0546875

097

0.3046875

177

0.5546875

257

0.8046875

020

0.0625000

100

0.3125000

180

0.5625000

260

0.8125000

022

0.0703125

102

0.3203125

182

0.5703125

262

0.8203125

025

0.0781250

105

0.3281250

185

0.5781250

265

0.8281250

027

0.0859375

107

0.3359375

187

0.5859375

267

0.8359375

030

0.0937500

110

0.3437500

190

0.5937500

270

0.8437500

032

0.1015625

112

0.3515625

192

0.6015625

272

0.8515625

035

0.1093750

115

0.3593750

195

0.6093750

275

0.8593750

037

0.1171875

117

0.3671875

197

0.6171875

277

0.8671875

040

0.1250000

120

0.3750000

200

0.6250000

280

0.8750000

042

0.1328125

122

0.3828125

202

0.6328125

282

0.8828125

045

0.1406250

125

0.3906250

205

0.6406250

285

0.8906250

047

0.1484375

127

0.3984375

207

0.6484375

287

0.8984375

050

0.1562500

130

0.4062500

210

0.6562500

290

0.9062500

052

0.1640625

132

0.4140625

212

0.6640625

292

0.9140625

055

0.1718750

135

0.4218750

215

0.6718750

295

0.9218750

057

0.1796875

137

0.4296875

217

0.6796875

297

0.9296875

060

0.1875000

140

0.4375000

220

0.6875000

300

0.9375000

062

0.1953125

142

0.4453125

222

0.6953125

302

0.9453125

065

0.2031250

145

0.4531250

225

0.7031250

305

0.9531250

067

0.2109375

147

0.4609375

227

0.7109375

307

0.9609375

070

0.2187500

150

0.4687500

230

0.7187500

310

0.9687500

072

0.2265625

152

0.4765625

232

0.7265625

312

0.9765625

075

0.2343750

155

0.4843750

235

0.7343750

315

0.9843750

077

0.2421875

157

0.4921875

237

0.7421875

317

0.9921875

Tick Display Format Eighth 1/32

Expand

Formatted Fractional Tick to Decimal

TDF

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

243

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

Tick Display Format Half 1/64

Expand

Formatted Fractional Tick to Decimal

TDF

Half 1/64 Tick

NDDP

3

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

Ticks

Decimal

000

0.0000000

160

0.2500000

320

0.5000000

480

0.7500000

005

0.0078125

165

0.2578125

325

0.5078125

485

0.7578125

010

0.0156250

170

0.2656250

330

0.5156250

490

0.7656250

015

0.0234375

175

0.2734375

335

0.5234375

495

0.7734375

020

0.0312500

180

0.2812500

340

0.5312500

500

0.7812500

025

0.0390625

185

0.2890625

345

0.5390625

505

0.7890625

030

0.0468750

190

0.2968750

350

0.5468750

510

0.7968750

035

0.0546875

195

0.3046875

355

0.5546875

515

0.8046875

040

0.0625000

200

0.3125000

360

0.5625000

520

0.8125000

045

0.0703125

205

0.3203125

365

0.5703125

525

0.8203125

050

0.0781250

210

0.3281250

370

0.5781250

530

0.8281250

055

0.0859375

215

0.3359375

375

0.5859375

535

0.8359375

060

0.0937500

220

0.3437500

380

0.5937500

540

0.8437500

065

0.1015625

225

0.3515625

385

0.6015625

545

0.8515625

070

0.1093750

230

0.3593750

390

0.6093750

550

0.8593750

075

0.1171875

235

0.3671875

395

0.6171875

555

0.8671875

080

0.1250000

240

0.3750000

400

0.6250000

560

0.8750000

085

0.1328125

245

0.3828125

405

0.6328125

565

0.8828125

090

0.1406250

250

0.3906250

410

0.6406250

570

0.8906250

095

0.1484375

255

0.3984375

415

0.6484375

575

0.8984375

100

0.1562500

260

0.4062500

420

0.6562500

580

0.9062500

105

0.1640625

265

0.4140625

425

0.6640625

585

0.9140625

110

0.1718750

270

0.4218750

430

0.6718750

590

0.9218750

115

0.1796875

275

0.4296875

435

0.6796875

595

0.9296875

120

0.1875000

280

0.4375000

440

0.6875000

600

0.9375000

125

0.1953125

285

0.4453125

445

0.6953125

605

0.9453125

130

0.2031250

290

0.4531250

450

0.7031250

610

0.9531250

135

0.2109375

295

0.4609375

455

0.7109375

615

0.9609375

140

0.2187500

300

0.4687500

460

0.7187500

620

0.9687500

145

0.2265625

305

0.4765625

465

0.7265625

625

0.9765625

150

0.2343750

310

0.4843750

470

0.7343750

630

0.9843750

155

0.2421875

315

0.4921875

475

0.7421875

635

0.9921875

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