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Volatility clustering

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394: 28:(1963), that "large changes tend to be followed by large changes, of either sign, and small changes tend to be followed by small changes." A quantitative manifestation of this fact is that, while returns themselves are uncorrelated, absolute returns 116:. The main idea behind these two models is that volatility is dependent upon past realizations of the asset process and related volatility process. This is a more precise formulation of the intuition that asset 63: 337: 197:
Cont, Rama (2007). "Volatility Clustering in Financial Markets: Empirical Facts and Agent-Based Models". In Teyssière, Gilles; Kirman, Alan (eds.).
464: 284: 435: 250: 81:(1996) among others; see also. Some studies point further to long-range dependence in volatility time series, see Ding, Granger and 454: 73:|) > 0 for τ ranging from a few minutes to several weeks. This empirical property has been documented in the 90's by 459: 112:, 1986) models aim to more accurately describe the phenomenon of volatility clustering and related effects such as 88:
Observations of this type in financial time series go against simple random walk models and have led to the use of
277: 428: 332: 327: 138: 93: 65:
or their squares display a positive, significant and slowly decaying autocorrelation function: corr(|r
353: 293: 117: 97: 25: 270: 421: 307: 246: 405: 31: 322: 312: 238: 202: 233:
Ole E. Barndorff-Nielsen, Neil Shephard (October 2010). "Volatility". In Cont, Rama (ed.).
363: 105: 82: 109: 448: 78: 74: 242: 206: 220: 184: 174:, Annales d'Économie et de Statistique, No. 40 (Oct. - Dec., 1995), pp. 67-91 401: 121: 358: 120:
tends to revert to some mean rather than remaining constant or moving in
113: 171: 393: 158: 17: 185:
Modeling volatility persistence of speculative returns: A new approach
223:, Journal of Empirical Finance, Volume 1, Issue 1, 1993, Pages 83-106 172:
Some Properties of Absolute Return: An Alternative Measure of Risk
133: 89: 101: 266: 373: 368: 221:
A long memory property of stock market returns and a new model
262: 187:, Journal of Econometrics), 1996, vol. 73, issue 1, 185-215 219:
Zhuanxin Ding, Clive W.J. Granger, Robert F. Engle (1993)
409: 34: 161:, The Journal of Business 36, No. 4, (1963), 394-419 346: 300: 57: 429: 278: 8: 159:The Variation of Certain Speculative Prices 85:(1993) and Barndorff-Nielsen and Shephard. 436: 422: 285: 271: 263: 24:refers to the observation, first noted by 50: 44: 35: 33: 150: 7: 390: 388: 235:Encyclopedia of Quantitative Finance 96:models in financial forecasting and 408:. You can help Knowledge (XXG) by 14: 392: 243:10.1002/9780470061602.eqf19019 201:. Springer. pp. 289–309. 77:and Ding (1993) and Ding and 51: 36: 1: 207:10.1007/978-3-540-34625-8_10 465:Economics and finance stubs 183:Ding, Z., Granger, C.W.J. 170:Granger, C.W. J., Ding, Z. 481: 387: 92:models and mean-reverting 199:Long Memory in Economics 58:{\displaystyle |r_{t}|} 404:-related article is a 59: 455:Derivatives (finance) 333:Jump-diffusion models 328:Stochastic volatility 318:Volatility clustering 139:Stochastic volatility 94:stochastic volatility 60: 22:volatility clustering 354:Volatility arbitrage 301:Modelling volatility 32: 157:Mandelbrot, B. B., 124:fashion over time. 108:, 1982) and GARCH ( 460:Technical analysis 347:Trading volatility 308:Implied volatility 55: 417: 416: 382: 381: 472: 438: 431: 424: 396: 389: 323:Local volatility 313:Volatility smile 287: 280: 273: 264: 257: 256: 230: 224: 217: 211: 210: 194: 188: 181: 175: 168: 162: 155: 64: 62: 61: 56: 54: 49: 48: 39: 480: 479: 475: 474: 473: 471: 470: 469: 445: 444: 443: 442: 385: 383: 378: 364:Volatility swap 342: 296: 291: 261: 260: 253: 232: 231: 227: 218: 214: 196: 195: 191: 182: 178: 169: 165: 156: 152: 147: 130: 72: 68: 40: 30: 29: 12: 11: 5: 478: 476: 468: 467: 462: 457: 447: 446: 441: 440: 433: 426: 418: 415: 414: 397: 380: 379: 377: 376: 371: 366: 361: 356: 350: 348: 344: 343: 341: 340: 338:ARCH and GARCH 335: 330: 325: 320: 315: 310: 304: 302: 298: 297: 292: 290: 289: 282: 275: 267: 259: 258: 251: 225: 212: 189: 176: 163: 149: 148: 146: 143: 142: 141: 136: 129: 126: 70: 66: 53: 47: 43: 38: 13: 10: 9: 6: 4: 3: 2: 477: 466: 463: 461: 458: 456: 453: 452: 450: 439: 434: 432: 427: 425: 420: 419: 413: 411: 407: 403: 398: 395: 391: 386: 375: 372: 370: 367: 365: 362: 360: 357: 355: 352: 351: 349: 345: 339: 336: 334: 331: 329: 326: 324: 321: 319: 316: 314: 311: 309: 306: 305: 303: 299: 295: 288: 283: 281: 276: 274: 269: 268: 265: 254: 252:9780470057568 248: 244: 240: 236: 229: 226: 222: 216: 213: 208: 204: 200: 193: 190: 186: 180: 177: 173: 167: 164: 160: 154: 151: 144: 140: 137: 135: 132: 131: 127: 125: 123: 119: 115: 111: 107: 103: 100:pricing. The 99: 95: 91: 86: 84: 80: 76: 45: 41: 27: 23: 19: 410:expanding it 399: 384: 317: 234: 228: 215: 198: 192: 179: 166: 153: 87: 21: 15: 98:derivatives 449:Categories 294:Volatility 145:References 118:volatility 110:Bollerslev 26:Mandelbrot 402:economics 237:. Wiley. 122:monotonic 359:Straddle 128:See also 114:kurtosis 79:Granger 75:Granger 18:finance 249:  400:This 134:GARCH 106:Engle 90:GARCH 83:Engle 69:|, |r 406:stub 247:ISBN 102:ARCH 374:VIX 369:IVX 239:doi 203:doi 71:t+τ 16:In 451:: 245:. 20:, 437:e 430:t 423:v 412:. 286:e 279:t 272:v 255:. 241:: 209:. 205:: 104:( 67:t 52:| 46:t 42:r 37:|

Index

finance
Mandelbrot
Granger
Granger
Engle
GARCH
stochastic volatility
derivatives
ARCH
Engle
Bollerslev
kurtosis
volatility
monotonic
GARCH
Stochastic volatility
The Variation of Certain Speculative Prices
Some Properties of Absolute Return: An Alternative Measure of Risk
Modeling volatility persistence of speculative returns: A new approach
doi
10.1007/978-3-540-34625-8_10
A long memory property of stock market returns and a new model
doi
10.1002/9780470061602.eqf19019
ISBN
9780470057568
v
t
e
Volatility

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