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Volatility-Induced Financial Growth

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  • Michael A.H. Dempster
  • Igor V. Evstigneev
  • Klaus R. Schenk-Hoppé

Abstract

We show that the volatility of a price process, which is usually regarded as an impediment to financial growth, can serve as an endogenous factor in its acceleration.
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Suggested Citation

  • Michael A.H. Dempster & Igor V. Evstigneev & Klaus R. Schenk-Hoppé, 2006. "Volatility-Induced Financial Growth," Economics Discussion Paper Series 0626, Economics, The University of Manchester.
    • Handle: RePEc:man:sespap:0626
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    References listed on IDEAS

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    4. Erik Aurell & Roberto Baviera & Ola Hammarlid & Maurizio Serva & Angelo Vulpiani, 2000. "A General Methodology To Price And Hedge Derivatives In Incomplete Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-24.
    5. Y.M. Kabanov, 1999. "Hedging and liquidation under transaction costs in currency markets," Finance and Stochastics, Springer, vol. 3(2), pages 237-248.
    6. Igor Evstigneev & Dhruv Kapoor, 2009. "Arbitrage in stationary markets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(1), pages 5-12, May.
    7. Fernholz, Robert & Shay, Brian, 1982. "Stochastic Portfolio Theory and Stock Market Equilibrium," Journal of Finance, American Finance Association, vol. 37(2), pages 615-624, May.
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    9. Gur Huberman, 2005. "A Simple Approach to Arbitrage Pricing Theory," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 9, pages 289-308, World Scientific Publishing Co. Pte. Ltd..
    10. Dries Darius & Aytac Ilhan & John Mulvey & Koray Simsek & Ronnie Sircar, 2002. "Trend-following hedge funds and multi-period asset allocation," Quantitative Finance, Taylor & Francis Journals, vol. 2(5), pages 354-361.
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    Cited by:

    1. Soumik Pal & Ting-Kam Leonard Wong, 2013. "Energy, entropy, and arbitrage," Papers 1308.5376, arXiv.org, revised Jan 2016.
    2. Jan Hendrik Witte, 2015. "Volatility Harvesting: Extracting Return from Randomness," Papers 1508.05241, arXiv.org, revised Nov 2015.
    3. Diana Barro & Elio Canestrelli & Fabio Lanza, 2014. "Volatility vs. downside risk: optimally protecting against drawdowns and maintaining portfolio performance," Working Papers 2014:18, Department of Economics, University of Venice "Ca' Foscari".
    4. Radu Tunaru, 2015. "Model Risk in Financial Markets:From Financial Engineering to Risk Management," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9524, October.
    5. Igor Evstigneev & Dhruv Kapoor, 2009. "Arbitrage in stationary markets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(1), pages 5-12, May.
    6. M. A. H. Dempster & E. A. Germano & M. Medova & M. I. Rietbergen & F. Sandrini & M. Scrowston & N. Zhang, 2007. "DC pension fund benchmarking with fixed-mix portfolio optimization," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 365-370.
    7. Sergei Belkov & Igor V. Evstigneev & Thorsten Hens, 2020. "An evolutionary finance model with a risk-free asset," Annals of Finance, Springer, vol. 16(4), pages 593-607, December.
    8. Keith Cuthbertson & Simon Hayley & Nick Motson & Dirk Nitzsche, 2016. "What Does Rebalancing Really Achieve?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 21(3), pages 224-240, July.
    9. Mikhail Zhitlukhin, 2020. "Asymptotic minimization of expected time to reach a large wealth level in an asset market game," Papers 2007.04909, arXiv.org.
    10. Diana Barro & Elio Canestrelli & Giorgio Consigli, 2019. "Volatility versus downside risk: performance protection in dynamic portfolio strategies," Computational Management Science, Springer, vol. 16(3), pages 433-479, July.
    11. E. Babaei & I.V. Evstigneev & K.R. Schenk-Hoppé & M.V. Zhitlukhin, 2018. "Von Neumann-Gale Dynamics and Capital Growth in Financial Markets with Frictions," Economics Discussion Paper Series 1815, Economics, The University of Manchester.
    12. Steven Campbell & Qien Song & Ting-Kam Leonard Wong, 2024. "Macroscopic properties of equity markets: stylized facts and portfolio performance," Papers 2409.10859, arXiv.org, revised Oct 2024.
    13. Barro, Diana & Consigli, Giorgio & Varun, Vivek, 2022. "A stochastic programming model for dynamic portfolio management with financial derivatives," Journal of Banking & Finance, Elsevier, vol. 140(C).

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