IDEAS home Printed from https://ideas.repec.org/p/cqe/wpaper/2813.html
   My bibliography  Save this paper

Periodically collapsing Evans bubbles and stock-price volatility

Author

Listed:
  • Benedikt Rotermann
  • Bernd Wilfling

Abstract

This paper analyzes conditional stock-price volatility within in present-value framework including (rational) periodically collapsing bubbles as introduced by Evans (1991). To this end, we derive an analytically closed-form volatility formula of the stock price. The formula establishes a direct link between the bubble component and stock-price volatility. Using a Bayesian Monte-Carlo estimation technique (the particle filter), we demonstrate how to fit the parametric volatility equation to stock-market data.

Suggested Citation

  • Benedikt Rotermann & Bernd Wilfling, 2013. "Periodically collapsing Evans bubbles and stock-price volatility," CQE Working Papers 2813, Center for Quantitative Economics (CQE), University of Muenster.
    • Handle: RePEc:cqe:wpaper:2813
    as

    Download full text from publisher

    File URL: https://www.wiwi.uni-muenster.de/cqe/sites/cqe/files/CQE_Paper/CQE_WP_28_2013.pdf
    File Function: Version of November, 2013
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Robert Z. Aliber & Charles P. Kindleberger, 2015. "Manias, Panics, and Crashes," Palgrave Macmillan Books, Palgrave Macmillan, edition 0, number 978-1-137-52574-1, August.
    2. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    3. Flood, Robert P & Hodrick, Robert J, 1986. "Asset Price Volatility, Bubbles, and Process Switching," Journal of Finance, American Finance Association, vol. 41(4), pages 831-842, September.
    4. Charles P. Kindleberger & Robert Z. Aliber, 2005. "Manias, Panics and Crashes," Palgrave Macmillan Books, Palgrave Macmillan, edition 0, number 978-0-230-62804-5, August.
    5. Olivier J. Blanchard & Mark W. Watson, 1982. "Bubbles, Rational Expectations and Financial Markets," NBER Working Papers 0945, National Bureau of Economic Research, Inc.
    6. Drew Creal, 2012. "A Survey of Sequential Monte Carlo Methods for Economics and Finance," Econometric Reviews, Taylor & Francis Journals, vol. 31(3), pages 245-296.
    7. Al-Anaswah, Nael & Wilfling, Bernd, 2011. "Identification of speculative bubbles using state-space models with Markov-switching," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1073-1086, May.
    8. Robert Z. Aliber & Charles P. Kindleberger & Robert N. McCauley, 2023. "Manias, Panics, and Crashes," Springer Books, Springer, edition 8, number 978-3-031-16008-0, July.
    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. Verena Monschang & Bernd Wilfling, 2021. "Sup-ADF-style bubble-detection methods under test," Empirical Economics, Springer, vol. 61(1), pages 145-172, July.
    2. Ripamonti, Alexandre & Silva, Diego & Moreira Neto, Eurico, 2018. "Asset Pricing and Asymmetric Information," MPRA Paper 87403, University Library of Munich, Germany.
    3. Benedikt Rotermann & Bernd Wilfling, 2018. "A new stock-price bubble with stochastically deflating trajectories," Applied Economics Letters, Taylor & Francis Journals, vol. 25(15), pages 1091-1096, September.
    4. Nicole Branger & Mark Trede & Bernd Wilfling, 2024. "Extracting stock-market bubbles from dividend futures," CQE Working Papers 10724, Center for Quantitative Economics (CQE), University of Muenster.
    5. Gupta, Rangan & Nel, Jacobus & Nielsen, Joshua & Pierdzioch, Christian, 2025. "Stock market volatility and multi-scale positive and negative bubbles," The North American Journal of Economics and Finance, Elsevier, vol. 75(PA).
    6. de Truchis, Gilles & Keddad, Benjamin, 2016. "On the risk comovements between the crude oil market and U.S. dollar exchange rates," Economic Modelling, Elsevier, vol. 52(PA), pages 206-215.

    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. Michaelides, Panayotis G. & Tsionas, Efthymios G. & Konstantakis, Konstantinos N., 2016. "Non-linearities in financial bubbles: Theory and Bayesian evidence from S&P500," Journal of Financial Stability, Elsevier, vol. 24(C), pages 61-70.
    2. Michaelides, Panayotis G. & Tsionas, Efthymios & Konstantakis, Konstantinos, 2016. "Financial Bubble Detection : A Non-Linear Method with Application to S&P 500," MPRA Paper 74477, University Library of Munich, Germany.
    3. Benedikt Rotermann & Bernd Wilfling, 2015. "Estimating rational stock-market bubbles with sequential Monte Carlo methods," CQE Working Papers 4015, Center for Quantitative Economics (CQE), University of Muenster.
    4. Paulo M.M. Rodrigues & Rita Fradique Lourenço, 2015. "House prices: bubbles, exuberance or something else? Evidence from euro area countries," Working Papers w201517, Banco de Portugal, Economics and Research Department.
    5. Ma, Richie Ruchuan & Xiong, Tao, 2021. "Price explosiveness in nonferrous metal futures markets," Economic Modelling, Elsevier, vol. 94(C), pages 75-90.
    6. Moreira, Afonso M. & Martins, Luis F., 2020. "A new mechanism for anticipating price exuberance," International Review of Economics & Finance, Elsevier, vol. 65(C), pages 199-221.
    7. Yuchao Fan, 2022. "Dissecting the dot-com bubble in the 1990s NASDAQ," Papers 2206.14130, arXiv.org, revised Jul 2022.
    8. John Fry & Andrew Brint, 2017. "Bubbles, Blind-Spots and Brexit," Risks, MDPI, vol. 5(3), pages 1-15, July.
    9. Peter C.B. Phillips & Shu-Ping Shi & Jun Yu, 2011. "Testing for Multiple Bubbles," Working Papers 09-2011, Singapore Management University, School of Economics.
    10. German Forero-Laverde, 2016. "Are All Booms and Busts Created Equal? A New Methodology for Understanding Bull and Bear Stock Markets," UB School of Economics Working Papers 2016/339, University of Barcelona School of Economics.
    11. Alina Sorescu & Sorin M. Sorescu & Will J. Armstrong & Bart Devoldere, 2018. "Two Centuries of Innovations and Stock Market Bubbles," Marketing Science, INFORMS, vol. 37(4), pages 507-529, August.
    12. Michael Demmler & Amilcar Orlian Fern�ndez Dom�nguez, 2021. "Bitcoin and the South Sea Company: A comparative analysis," Revista Finanzas y Politica Economica, Universidad Católica de Colombia, vol. 13(1), pages 197-224.
    13. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56(4), pages 1043-1078, November.
    14. Takashi Kamihigashi, 2011. "Recurrent Bubbles," The Japanese Economic Review, Japanese Economic Association, vol. 62(1), pages 27-62, March.
    15. Coskun Yener & Jadevicius Arvydas, 2017. "Is there a Housing Bubble in Turkey?," Real Estate Management and Valuation, Sciendo, vol. 25(1), pages 48-73, March.
    16. Vinod Cheriyan & Anton J. Kleywegt, 2016. "A dynamical systems model of price bubbles and cycles," Quantitative Finance, Taylor & Francis Journals, vol. 16(2), pages 309-336, February.
    17. Benedikt Rotermann & Bernd Wilfling, 2018. "A new stock-price bubble with stochastically deflating trajectories," Applied Economics Letters, Taylor & Francis Journals, vol. 25(15), pages 1091-1096, September.
    18. Bengui, Julien & Phan, Toan, 2018. "Asset pledgeability and endogenously leveraged bubbles," Journal of Economic Theory, Elsevier, vol. 177(C), pages 280-314.
    19. Kräussl, Roman & Lehnert, Thorsten & Martelin, Nicolas, 2016. "Is there a bubble in the art market?," Journal of Empirical Finance, Elsevier, vol. 35(C), pages 99-109.
    20. Harras, Georges & Sornette, Didier, 2011. "How to grow a bubble: A model of myopic adapting agents," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 137-152.

    More about this item

    Keywords

    Present value model; Evans bubbles; conditional volatility; particle filter estimation;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • G1 - Financial Economics - - General Financial Markets

    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:cqe:wpaper:2813. 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: Susanne Deckwitz (email available below). General contact details of provider: https://edirc.repec.org/data/cqmuede.html .

    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.