##### Page tree
Go to start of banner

# Fractional Pricing - Tick and Decimal Conversions

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.

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

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

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

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

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

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

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

top