Original Articles |
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Spread and Quote-Update Frequency of the Limit-Order Driven Sergei Maslov Model |
QIU Tian;CHEN Guang |
School of Electronic and Information Engineering, Nanchang Hangkong University, Nanchang 330063 |
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Cite this article: |
QIU Tian, CHEN Guang 2007 Chin. Phys. Lett. 24 2161-2163 |
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Abstract We perform numerical simulations of the limit-order driven Sergei Maslov (SM) model and investigate the probability distribution and autocorrelation function of the bid--ask spread S and the quote-update frequency U. For the probability distribution, the model successfully reproduces the power law decay of the spread and the exponential decay of the quote-update frequency. For the autocorrelation function, both the spread and the quote-update frequency of the model decay by a power law, which is consistent with the empirical study. We obtain the power law exponent 0.54 for the spread, which is in good agreement with the real financial market.
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Keywords:
02.60.Cb
05.45.Tp
05.65.+b
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Received: 24 March 2007
Published: 25 July 2007
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PACS: |
02.60.Cb
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(Numerical simulation; solution of equations)
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05.45.Tp
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(Time series analysis)
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05.65.+b
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(Self-organized systems)
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[1]Mantegna R N and Stanley H E 1995 Nature 376 46 [2]Gopikrishnan P, Plerou V, Amaral L A N, Meyer M and Stanley H E1999 Phys. Rev. E 60 5305 [3] Giardina I, Bouchaud J P and M\'ezard M 2001 Physica A 299 28 [4] Liu Y, Gopikrishnan P, Cizeau P, Meyer M, Peng C K and Stanley H E1999 Phys. Rev. E 60 1390 [5] Bouchaud J P, Matacz A and Potters M 2001 Phys. Rev. Lett. 87 228701 [6] Zheng B 2002 Mod. Phys. Lett. 16 775 [7] Ren F and Zheng B 2003 Phys. Lett. A 313 312 [8] Qiu T, Zheng B, Ren F and Trimper S 2006 Phys. Rev. E 73 065103(R) [9] Hu N,Zheng B and Qiu T 2004 Int. J. Mod. Phys. B 182492 [10] Ren F, Zheng B, Lin H, Wen L Y and Trimper S 2005 Physica A 350 439 [11] Lux T and Marchesi M 1999 Nature 397 498 [12] Challet D and Zhang Y C 1997 Physica A 246 407 [13] Stauffer D, de Oliveria P M C and Bernardes A T 1999 Int. J.Theor. Appl. Finance 2 83 [14] Stauffer D and Jan N 2000 Physica A 277 215 [15] Cont R and Bouchaud J P 2000 Adv. Biosens. 4 170 [16] Eguiluz V M and Zimmermann M G 2000 Phys. Rev. Lett. 85 5659 [17] Muzy J F, Delour J and Bacry E 2000 Eur. Phys. J. B 17537 [18] Challet D and Stinchcombe R 2001 Physica A 300 285 [19] Louzoun Y and Solomon S 2001 Physica A 302 220 [20] Krawiecki A, Holyst J A and Helbing D 2002 Phys. Rev. Lett. 89 158701 [21] Huang Z F and Solomon S 2002 Physica A 306 412 [22] Zhong L X, Zheng D F and Zheng B 2005 Phys. Rev. E 72026134 [23] Ren F, Zheng B, Qiu T and Trimper S 2006 Phys. Rev. E 74 041111 [24] Ren F, Zheng B, Qiu T and Trimper S 2006 Physica A 371649 [25] Zheng B, Ren F, Trimper S and Zheng D F 2004 Physica A 343 653 [26] Zheng B, Qiu T and Ren F 2004 Phys. Rev. E 69 046115 [27] Plerou V, Gopikrishnan P and Stanley H E 2005 Phys. Rev. E 71 046131 [28] Maslov S 2000 Physica A 278 571 [29] Bak P, Paczuski M and Shubik M 1997 Physica A 246 430 [30] Maslov S and Mills M 2001 Physica A 299 234 [31] Daniels M G, Farmer J D, Gillemot L, Iori G and Smith E 2003 Phys. Rev. Lett. 10 108102 [32] Smith E, Farmer J D, Gillemot L and Krishnamurthy S 2003 Quant. Finance 3 481 [33] Tang L H and Tian G S 1999 Physica A 264 543 [34] Slanina F 2001 Phys. Rev. E 64 056136 [35] Chiarella C and Iori G 2002 Quant. Finance 2 346 [36] Bouchaud J P, Mzard M and Potters M 2002 Quant. Finance 2 251 [37] Potters M, Bouchaud J P 2003 Physica A 324 133 |
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