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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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    1. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    2. L. C. MacLean & W. T. Ziemba & G. Blazenko, 1992. "Growth Versus Security in Dynamic Investment Analysis," Management Science, INFORMS, vol. 38(11), pages 1562-1585, November.
    3. Igor V. Evstigneev & Klaus Reiner Schenk-Hoppé, 2002. "From Rags To Riches: On Constant Proportions Investment Strategies," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(06), pages 563-573.
    4. Y.M. Kabanov, 1999. "Hedging and liquidation under transaction costs in currency markets," Finance and Stochastics, Springer, vol. 3(2), pages 237-248.
    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. 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.
    7. Ziemba,William T. & Mulvey,John M. (ed.), 1998. "Worldwide Asset and Liability Modeling," Cambridge Books, Cambridge University Press, number 9780521571876.
    8. 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..
    9. 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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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Soumik Pal & Ting-Kam Leonard Wong, 2013. "Energy, entropy, and arbitrage," Papers 1308.5376, arXiv.org, revised Jan 2016.
    4. 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.
    5. 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.
    6. Mikhail Zhitlukhin, 2020. "Asymptotic minimization of expected time to reach a large wealth level in an asset market game," Papers 2007.04909, arXiv.org.
    7. Jan Hendrik Witte, 2015. "Volatility Harvesting: Extracting Return from Randomness," Papers 1508.05241, arXiv.org, revised Nov 2015.
    8. 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".
    9. 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.

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