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Extracting the exponential behaviors in the market data

Author

Listed:
  • Watanabe, Kota
  • Takayasu, Hideki
  • Takayasu, Misako

Abstract

We introduce a mathematical criterion defining the bubbles or the crashes in financial market price fluctuations by considering exponential fitting of the given data. By applying this criterion we can automatically extract the periods in which bubbles and crashes are identified. From stock market data of so-called the Internet bubbles it is found that the characteristic length of bubble period is about 100 days.

Suggested Citation

  • Watanabe, Kota & Takayasu, Hideki & Takayasu, Misako, 2007. "Extracting the exponential behaviors in the market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 336-339.
    • Handle: RePEc:eee:phsmap:v:382:y:2007:i:1:p:336-339
    DOI: 10.1016/j.physa.2007.02.026
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    Citations

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    Cited by:

    1. Cajueiro, Daniel O. & Tabak, Benjamin M. & Werneck, Filipe K., 2009. "Can we predict crashes? The case of the Brazilian stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1603-1609.
    2. Hui, Eddie C.M. & Zheng, Xian & Wang, Hui, 2010. "A dynamic mathematical test of international property securities bubbles and crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1445-1454.
    3. Chen, Zhiping & Duan, Qihong, 2011. "New models of trader beliefs and their application for explaining financial bubbles," Economic Modelling, Elsevier, vol. 28(5), pages 2215-2227, September.
    4. Nora CHIRIȚĂ & Camelia DELCEA & Ionuț NICA & Simona-Liliana CRĂCIUNESCU (PARAMON) & Ștefan-Andrei IONESCU, 2023. "Financial contagion and identifying speculative frenzies: Unraveling price bubbles in cryptocurrency markets," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(3(636), A), pages 21-40, Autumn.
    5. Zhang, Qunzhi & Sornette, Didier & Balcilar, Mehmet & Gupta, Rangan & Ozdemir, Zeynel Abidin & Yetkiner, Hakan, 2016. "LPPLS bubble indicators over two centuries of the S&P 500 index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 126-139.
    6. Balcilar, Mehmet & Ozdemir, Zeynel Abidin & Yetkiner, Hakan, 2014. "Are there really bubbles in oil prices?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 631-638.
    7. Stéphane Goutte & David Guerreiro & Bilel Sanhaji & Sophie Saglio & Julien Chevallier, 2019. "International Financial Markets," Post-Print halshs-02183053, HAL.

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