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Average true range

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Since true range and ATR are calculated by subtracting prices, the volatility they compute does not change when historical prices are back-adjusted by adding or subtracting a constant to every price. Back-adjustments are often employed when splicing together individual monthly
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of logarithmic price ratios, are not invariant (to addition of a constant). Thus futures traders and analysts typically use one method (ATR) to calculate volatility, while stock traders and analysts typically use standard deviation of log price ratios.
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distance) when calculating the trade volume based on trader's risk tolerance. In this case, ATR provides a self-adjusting risk limit dependent on the market volatility for strategies without a fixed stop-loss placement.
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Apart from being a trend strength gauge, ATR serves as an element of position sizing in financial trading. Current ATR value (or a multiple of it) can be used as the size of the potential adverse movement
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The idea of ranges is that they show the commitment or enthusiasm of traders. Large or increasing ranges suggest traders prepared to continue to bid up or sell down a
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to form a continuous futures contract spanning a long period of time. However the standard procedures used to compute volatility of stock prices, such as the
346:{\displaystyle {\text{TR}}={\max({\text{high}},{\text{close}}_{\text{prev}})-\operatorname {min} ({\text{low}},{\text{close}}_{\text{prev}})}\,} 740: 370: 550:
N.B. This first value is the first in the time series (not the most recent) and is n periods from the beginning of the chart.
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extends it to yesterday's closing price if it was outside of today's range.
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through the course of the day. Decreasing range suggests waning interest.
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Absolute value of the most recent period's high minus the previous close
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Absolute value of the most recent period's low minus the previous close
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The first ATR value is calculated using the arithmetic mean formula:
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is calculated using the following formula: (This is one form of an
560: 461:{\displaystyle ATR_{t}={{ATR_{t-1}\times (n-1)+TR_{t}} \over n}} 68:
EUR/USD chart showing ATR indicator (cyan line) with period 14.
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This is by his reckoning of SMMA periods, meaning an α=1/14.
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Most recent period's high minus the most recent period's low
1077: 931: 1258: 41:. The indicator does not provide an indication of price 143: 605: 480: 373: 267: 115: 78: 540:{\displaystyle ATR={1 \over n}\sum _{i=1}^{n}TR_{i}} 578: 610: 539: 460: 345: 229: 94: 53:values. Wilder recommended a 14-period smoothing. 1379: 665:International encyclopedia of technical analysis 639:"Average True Range (ATR) [ChartSchool]" 277: 125: 668:. Global Professional Publishing. p. 341. 661: 734: 561:Applicability to futures contracts vs. stocks 741: 727: 95:{\displaystyle {\text{high}}-{\text{low}}} 613:New Concepts in Technical Trading Systems 342: 226: 60: 72:The range of a day's trading is simply 1380: 748: 691: 1078:Moving average convergence/divergence 722: 230:{\displaystyle {\text{TR}}={\max}\,} 13: 617:. Greensboro, NC: Trend Research. 258:The formula can be simplified to: 33:indicator originally developed by 14: 1404: 579:Use in position size calculation 1183:Accumulation/distribution line 682: 655: 631: 599: 433: 421: 356:The ATR at the moment of time 338: 315: 303: 280: 222: 219: 196: 184: 161: 149: 131: 128: 56: 1: 592: 1259:CBOE Market Volatility Index 900:Triple top and triple bottom 865:Double top and double bottom 7: 16:Market volatility indicator 10: 1409: 1067:Know sure thing oscillator 1061:Detrended price oscillator 362:exponential moving average 1329: 1304: 1274: 1227: 1173: 1126: 1049:Average directional index 1039: 1013: 1004: 977: 940: 922: 913: 845: 838: 792: 756: 244:is the largest of the: 1142:Relative strength index 1055:Commodity channel index 699:"Position Sizing Rules" 662:Joel G. Siegel (2000). 47:smoothed moving average 779:Elliott wave principle 643:school.stockcharts.com 541: 523: 462: 347: 231: 96: 69: 1200:Negative volume index 1148:Stochastic oscillator 1025:Fibonacci retracement 607:J. Welles Wilder, Jr. 542: 503: 463: 348: 232: 97: 64: 35:J. Welles Wilder, Jr. 1393:Technical indicators 1352:Ralph Nelson Elliott 1296:McClellan oscillator 1284:Advance–decline line 965:Three white soldiers 478: 371: 265: 113: 76: 1159:Ultimate oscillator 1153:True strength index 820:Open-high-low-close 1388:Technical analysis 1265:Standard deviation 1237:Average true range 1218:Volume–price trend 1073:Ichimoku Kinkō Hyō 880:Head and shoulders 750:Technical analysis 572:standard deviation 537: 458: 343: 227: 147: 92: 70: 28:technical analysis 20:Average true range 1375: 1374: 1325: 1324: 1206:On-balance volume 1101:Smart money index 1000: 999: 973: 972: 960:Three black crows 703:www.earnforex.com 675:978-1-888998-88-7 624:978-0-89459-027-6 568:futures contracts 501: 456: 335: 330: 321: 300: 295: 286: 271: 216: 211: 202: 181: 176: 167: 146: 137: 119: 90: 82: 1400: 1249:Donchian channel 1188:Ease of movement 1136:Money flow index 1117:Vortex indicator 1011: 1010: 979:Point and figure 920: 919: 870:Flag and pennant 843: 842: 825:Point and figure 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handle 857: 855:Broadening top 851: 849: 840: 836: 835: 833: 832: 827: 822: 817: 812: 807: 802: 796: 794: 790: 789: 787: 786: 781: 776: 771: 766: 760: 758: 754: 753: 746: 745: 738: 731: 723: 715: 714: 690: 681: 674: 654: 630: 623: 597: 596: 594: 591: 580: 577: 562: 559: 548: 547: 534: 530: 526: 521: 516: 513: 510: 506: 500: 497: 492: 489: 486: 483: 469: 468: 455: 449: 445: 441: 438: 435: 432: 429: 426: 423: 420: 415: 412: 409: 405: 401: 398: 392: 387: 383: 379: 376: 354: 353: 340: 325: 317: 314: 311: 308: 305: 290: 282: 279: 275: 256: 255: 252: 249: 238: 237: 224: 221: 206: 198: 195: 192: 189: 186: 171: 163: 160: 157: 154: 151: 141: 133: 130: 127: 123: 86: 58: 55: 49:(SMMA) of the 15: 9: 6: 4: 3: 2: 1405: 1394: 1391: 1389: 1386: 1385: 1383: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1343: 1340: 1338: 1335: 1334: 1332: 1328: 1318: 1315: 1313: 1312:Coppock curve 1310: 1309: 1307: 1303: 1297: 1294: 1291: 1288: 1285: 1282: 1281: 1279: 1277: 1273: 1266: 1263: 1260: 1257: 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Retrieved 702: 693: 684: 664: 657: 646:. Retrieved 642: 633: 612: 601: 582: 564: 552: 549: 470: 357: 355: 257: 241: 239: 103: 71: 50: 23: 19: 18: 1362:John Murphy 1357:Bob Farrell 1347:Charles Dow 1317:Ulcer index 1194:Force index 1164:Williams %R 1030:Pivot point 915:Candlestick 800:Candlestick 57:Calculation 39:commodities 1382:Categories 1290:Arms index 1229:Volatility 1107:Trend line 1084:Mass index 1017:resistance 1006:Indicators 830:Line break 774:Dow theory 708:2019-04-17 648:2024-03-17 593:References 242:true range 104:true range 66:MetaTrader 51:true range 31:volatility 1342:Ned Davis 992:Bear trap 987:Bull trap 586:stop-loss 505:∑ 428:− 419:× 411:− 313:⁡ 307:− 205:− 194:⁡ 170:− 159:⁡ 140:− 85:− 1330:Analysts 1128:Momentum 1051:(A.D.X.) 895:Triangle 839:Patterns 764:Breakout 757:Concepts 1276:Breadth 942:Complex 26:) is a 1292:(TRIN) 1175:Volume 1080:(MACD) 924:Simple 793:Charts 672:  621:  102:. The 1305:Other 1286:(ADL) 1261:(VIX) 1239:(ATR) 1220:(VPT) 1214:(PCR) 1208:(OBV) 1202:(NVI) 1190:(EMV) 1155:(TSI) 1144:(RSI) 1138:(MFI) 1103:(SMI) 1097:(SAR) 1069:(KST) 1063:(DPO) 1057:(CCI) 1041:Trend 847:Chart 805:Renko 555:stock 329:close 294:close 210:close 175:close 43:trend 1245:(BB) 1196:(FI) 1166:(%R) 1119:(VI) 1112:Trix 1091:(MA) 1032:(PP) 932:Doji 815:Line 810:Kagi 670:ISBN 619:ISBN 334:prev 299:prev 285:high 240:The 215:prev 180:prev 166:high 136:high 81:high 37:for 1267:(σ) 875:Gap 320:low 310:min 278:max 201:low 191:abs 156:abs 145:low 126:max 89:low 24:ATR 1384:: 701:. 641:. 364:) 270:TR 118:TR 742:e 735:t 728:v 711:. 678:. 651:. 627:. 584:( 533:i 529:R 525:T 520:n 515:1 512:= 509:i 499:n 496:1 491:= 488:R 485:T 482:A 454:n 448:t 444:R 440:T 437:+ 434:) 431:1 425:n 422:( 414:1 408:t 404:R 400:T 397:A 391:= 386:t 382:R 378:T 375:A 358:t 339:) 324:, 316:( 304:) 289:, 281:( 274:= 223:] 220:) 197:( 188:, 185:) 162:( 153:, 150:) 132:( 129:[ 122:= 22:(

Index

technical analysis
volatility
J. Welles Wilder, Jr.
commodities
trend
smoothed moving average

MetaTrader
exponential moving average
stock
futures contracts
standard deviation
stop-loss
J. Welles Wilder, Jr.
New Concepts in Technical Trading Systems
ISBN
978-0-89459-027-6
"Average True Range (ATR) [ChartSchool]"
International encyclopedia of technical analysis
ISBN
978-1-888998-88-7
"Position Sizing Rules"
v
t
e
Technical analysis
Breakout
Dead cat bounce
Dow theory
Elliott wave principle

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