IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1003.2920.html
   My bibliography  Save this paper

Computational LPPL Fit to Financial Bubbles

Author

Listed:
  • Vincenzo Liberatore

Abstract

The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. If the on-going development of a bubble is suspected, asset prices can be fit numerically to the LPPL law. The best solutions can then indicate whether a bubble is in progress and, if so, the bubble critical time (i.e., when the bubble is expected to burst). Consequently, the LPPL model is useful only if the data can be fit to the model with algorithms that are accurate and computationally efficient. In this paper, we address primarily the computational efficiency and secondarily the precision of the LPPL non-linear least-square fit. Specifically, we present a parallel Levenberg-Marquardt algorithm (LMA) for LPPL least-square fit that sped up computation of more than a factor of four over a sequential LMA on historical and synthetic price series. Additionally, we isolate a linear sub-structure of the LPPL least-square fit that can be paired with an exact computation of the Jacobian, give new settings for the Levenberg-Marquardt damping factor, and describe a heuristic method to choose initial solutions.

Suggested Citation

  • Vincenzo Liberatore, 2010. "Computational LPPL Fit to Financial Bubbles," Papers 1003.2920, arXiv.org, revised Jan 2011.
    • Handle: RePEc:arx:papers:1003.2920
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1003.2920
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Didier Sornette & Ryan Woodard & Maxim Fedorovsky & Stefan Reimann & Hilary Woodard & Wei-Xing Zhou, 2009. "The Financial Bubble Experiment: advanced diagnostics and forecasts of bubble terminations," Papers 0911.0454, arXiv.org, revised May 2010.
    2. Olivier Blanchard & Giovanni Dell’Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 199-215, September.
    3. Jiang, Zhi-Qiang & Zhou, Wei-Xing & Sornette, Didier & Woodard, Ryan & Bastiaensen, Ken & Cauwels, Peter, 2010. "Bubble diagnosis and prediction of the 2005-2007 and 2008-2009 Chinese stock market bubbles," Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 149-162, June.
    4. Olivier Blanchard & Giovanni Dell'Ariccia & Paolo Mauro, 2010. "Rethinking Macroeconomic Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 199-215, September.
    5. David S. Bree & Nathan Lael Joseph, 2010. "Testing for financial crashes using the Log Periodic Power Law mode," Papers 1002.1010, arXiv.org, revised Apr 2013.
    6. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Daniel T. Pele, 2012. "An Lppl Algorithm For Estimating The Critical Time Of A Stock Market Bubble," Journal of Social and Economic Statistics, Bucharest University of Economic Studies, vol. 1(2), pages 14-22, DECEMBER.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Leonardo Villar-Gómez & Javier Gómez & Andrés Murcia Pabón & Wilmar Cabrera & Hernando Vargas, 2023. "The monetary and macroprudential policy framework in Colombia in the last 30 years: lessons learnt and challenges for the future," BIS Papers chapters, in: Bank for International Settlements (ed.), Central banking in the Americas: Lessons from two decades, volume 127, pages 87-112, Bank for International Settlements.
    2. Catherine Mathieu & Henri Sterdyniak, 2010. "European Debt Crisis and Fiscal Exit Strategies," SciencePo Working papers Main hal-01069426, HAL.
    3. Tae-Jeong Kim & Mihye Lee & Robert Dekle, 2014. "The Impact of Population Aging on the Countercyclical Fiscal Stance in Korea, with a Focus on the Automatic Stabilizer," Working Papers 2014-21, Economic Research Institute, Bank of Korea.
    4. Tobias Cwik, 2012. "Fiscal consolidation using the example of Germany," Finance and Economics Discussion Series 2012-80, Board of Governors of the Federal Reserve System (U.S.).
    5. Swanson, Eric T., 2021. "Measuring the effects of federal reserve forward guidance and asset purchases on financial markets," Journal of Monetary Economics, Elsevier, vol. 118(C), pages 32-53.
    6. Blot, Christophe & Creel, Jérôme & Hubert, Paul & Labondance, Fabien & Saraceno, Francesco, 2015. "Assessing the link between price and financial stability," Journal of Financial Stability, Elsevier, vol. 16(C), pages 71-88.
    7. Stijn Claessens & M. Ayhan Kose, 2013. "Financial Crises: Explanations, Types and Implications," CAMA Working Papers 2013-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    8. Zhang, Yanbing & Hua, Xiuping & Zhao, Liang, 2011. "Monetary policy and housing prices : a case study of Chinese experience in 1999-2010," BOFIT Discussion Papers 17/2011, Bank of Finland, Institute for Economies in Transition.
    9. repec:spo:wpmain:info:hdl:2441/vbu6kd1s68o6r34k5bcm3iopv is not listed on IDEAS
    10. Aliya Algozhina, 2012. "Monetary and Fiscal Policy Interactions in an Emerging Open Economy: A Non-Ricardian DSGE Approach," CERGE-EI Working Papers wp476, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    11. Kobayashi, Teruyoshi & Muto, Ichiro, 2013. "A Note On Expectational Stability Under Nonzero Trend Inflation," Macroeconomic Dynamics, Cambridge University Press, vol. 17(3), pages 681-693, April.
    12. Pierpaolo Benigno & Luca Antonio Ricci, 2011. "The Inflation-Output Trade-Off with Downward Wage Rigidities," American Economic Review, American Economic Association, vol. 101(4), pages 1436-1466, June.
    13. Gagnon, Marie-Hélène & Gimet, Céline, 2013. "The impacts of standard monetary and budgetary policies on liquidity and financial markets: International evidence from the credit freeze crisis," Journal of Banking & Finance, Elsevier, vol. 37(11), pages 4599-4614.
    14. David Arseneau, 2012. "Expectation traps in a new Keynesian open economy model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 81-112, January.
    15. Wei Dong & Geoffrey Dunbar & Christian Friedrich & Dmitry Matveev & Romanos Priftis & Lin Shao, 2021. "Complementarities Between Fiscal Policy and Monetary Policy—Literature Review," Discussion Papers 2021-4, Bank of Canada.
    16. repec:ilo:ilowps:488129 is not listed on IDEAS
    17. Eckhard Hein, 2016. "Secular stagnation or stagnation policy? Steindl after Summers," PSL Quarterly Review, Economia civile, vol. 69(276), pages 3-47.
    18. Francesco Saraceno, 2015. "Challenges for the ECB in Times of Deflation," Working Papers hal-03470271, HAL.
    19. Piotr Ciżkowicz & Andrzej Rzońca & Andrzej Torój, 2019. "In Search of an Appropriate Lower Bound. The Zero Lower Bound vs. the Positive Lower Bound under Discretion and Commitment," German Economic Review, Verein für Socialpolitik, vol. 20(4), pages 1028-1053, November.
    20. Isabel Correia & Emmanuel Farhi & Juan Pablo Nicolini & Pedro Teles, 2013. "Unconventional Fiscal Policy at the Zero Bound," American Economic Review, American Economic Association, vol. 103(4), pages 1172-1211, June.
    21. José Jorge, 2016. "The Shape of Regulation to Come," CEF.UP Working Papers 1602, Universidade do Porto, Faculdade de Economia do Porto.
    22. repec:hal:wpspec:info:hdl:2441/f6h8764enu2lskk9p4oqi4ibn is not listed on IDEAS
    23. Larch, Martin & Van den Noord, Paul & Jonung, Lars, 2010. "The stability and growth pact: lessons from the great recession," MPRA Paper 27900, University Library of Munich, Germany.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1003.2920. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.