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Fallacy of the log-normal approximation to optimal portfolio decision-making over many periods

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Cited by:

  1. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2006. "Markets do not select for a liquidity preference as behavior towards risk," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 279-292, February.
  2. Carl Chiarella & Xue-Zhong He & Christina Sklibosios Nikitopoulos, 2015. "Derivative Security Pricing," Dynamic Modeling and Econometrics in Economics and Finance, Springer, edition 127, number 978-3-662-45906-5, June.
  3. Robert C. Merton, 2006. "Paul Samuelson and Financial Economics," The American Economist, Sage Publications, vol. 50(2), pages 9-31, October.
  4. Ben Hambly & Renyuan Xu & Huining Yang, 2021. "Recent Advances in Reinforcement Learning in Finance," Papers 2112.04553, arXiv.org, revised Feb 2023.
  5. Emanuela Sciubba, 2006. "The evolution of portfolio rules and the capital asset pricing model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 123-150, September.
  6. Benjamin Francis Hunt, 2002. "Growth Optimal Investment Strategy Efficacy: An Application on Long Run Australian Equity Data," Research Paper Series 86, Quantitative Finance Research Centre, University of Technology, Sydney.
  7. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
  8. Haim Levy, 2020. "The Investment Home Bias with Peer Effect," JRFM, MDPI, vol. 13(5), pages 1-19, May.
  9. Levy, Haim & Levy, Moshe, 2021. "The cost of diversification over time, and a simple way to improve target-date funds," Journal of Banking & Finance, Elsevier, vol. 122(C).
  10. Blake, David, 1998. "Pension schemes as options on pension fund assets: implications for pension fund management," Insurance: Mathematics and Economics, Elsevier, vol. 23(3), pages 263-286, December.
  11. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2001. "Pensionmetrics: stochastic pension plan design and value-at-risk during the accumulation phase," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 187-215, October.
  12. Kakushadze, Zura, 2017. "Volatility smile as relativistic effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 59-76.
  13. Zura Kakushadze, 2016. "Volatility Smile as Relativistic Effect," Papers 1610.02456, arXiv.org, revised Feb 2017.
  14. Jonathan Yu-Meng Li, 2023. "Wasserstein-Kelly Portfolios: A Robust Data-Driven Solution to Optimize Portfolio Growth," Papers 2302.13979, arXiv.org.
  15. Levy, Moshe, 2019. "Stocks for the log-run and constant relative risk aversion preferences," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1163-1168.
  16. Thomas E. MaCurdy & John B. Shoven, 1992. "Stocks, Bonds, and Pension Wealth," NBER Chapters, in: Topics in the Economics of Aging, pages 61-78, National Bureau of Economic Research, Inc.
  17. Aurell, Erik & Baviera, Roberto & Hammarlid, Ola & Serva, Maurizio & Vulpiani, Angelo, 2000. "Growth optimal investment and pricing of derivatives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(3), pages 505-521.
  18. Gabriel Frahm, 2020. "Statistical properties of estimators for the log-optimal portfolio," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(1), pages 1-32, August.
  19. Napat Rujeerapaiboon & Daniel Kuhn & Wolfram Wiesemann, 2016. "Robust Growth-Optimal Portfolios," Management Science, INFORMS, vol. 62(7), pages 2090-2109, July.
  20. Levy, Moshe & Nir, Adi Rizansky, 2012. "The utility of health and wealth," Journal of Health Economics, Elsevier, vol. 31(2), pages 379-392.
  21. Michael Dempsey, 2015. "Stock Markets, Investments and Corporate Behavior:A Conceptual Framework of Understanding," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number p1007, October.
  22. Ibarra-Ramírez Raúl, 2011. "Stocks, Bonds and the Investment Horizon: A Spatial Dominance Approach," Working Papers 2011-03, Banco de México.
  23. Bali, Turan G. & Demirtas, K. Ozgur & Levy, Haim & Wolf, Avner, 2009. "Bonds versus stocks: Investors' age and risk taking," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 817-830, September.
  24. Moshe Arye Milevsky & Steven Posner, 1998. "A theoretical investigation of randomized asset allocation strategies," Applied Mathematical Finance, Taylor & Francis Journals, vol. 5(2), pages 117-130.
  25. Chamberlain, Trevor W., 1996. "The investment decisions of individuals and firms," International Review of Financial Analysis, Elsevier, vol. 5(2), pages 87-97.
  26. Stanley Fischer, 1983. "Investing for the Short and the Long Term," NBER Chapters, in: Financial Aspects of the United States Pension System, pages 153-176, National Bureau of Economic Research, Inc.
  27. Taras Bodnar & Nestor Parolya & Wolfgang Schmid, 2015. "A closed-form solution of the multi-period portfolio choice problem for a quadratic utility function," Annals of Operations Research, Springer, vol. 229(1), pages 121-158, June.
  28. Haim Levy, 2016. "Aging Population, Retirement, and Risk Taking," Management Science, INFORMS, vol. 62(5), pages 1415-1430, May.
  29. Merton, Robert C., 1993. "On the microeconomic theory of investment under uncertainty," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 13, pages 601-669, Elsevier.
  30. Robert Novy-Marx & Joshua D. Rauh, 2009. "The Liabilities and Risks of State-Sponsored Pension Plans," Journal of Economic Perspectives, American Economic Association, vol. 23(4), pages 191-210, Fall.
  31. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
  32. Boonen, Tim J. & De Waegenaere, Anja, 2017. "Intergenerational risk sharing in closing pension funds," Insurance: Mathematics and Economics, Elsevier, vol. 74(C), pages 20-30.
  33. Ole Peters, 2011. "Optimal leverage from non-ergodicity," Quantitative Finance, Taylor & Francis Journals, vol. 11(11), pages 1593-1602.
  34. Arjen Siegmann & André Lucas, 2005. "Discrete-Time Financial Planning Models Under Loss-Averse Preferences," Operations Research, INFORMS, vol. 53(3), pages 403-414, June.
  35. Zuzana Macova & Daniel Sevcovic, 2009. "Weakly nonlinear analysis of the Hamilton-Jacobi-Bellman equation arising from pension savings management," Papers 0905.0155, arXiv.org, revised Nov 2009.
  36. G. Caldarelli & M. Piccioni & E. Sciubba, 2000. "A Numerical Study on the Evolution of Portfolio Rules: Is CAPM Fit for Nasdaq?," Papers cond-mat/0009437, arXiv.org.
  37. Hammarlid, Ola, 2005. "When to accept a sequence of gambles," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 974-982, December.
  38. Jarrod Wilcox & Frank Fabozzi, 2009. "A Discretionary Wealth Approach to Investment Policy," Yale School of Management Working Papers amz2434, Yale School of Management.
  39. Ibarra, Raul, 2013. "A spatial dominance approach to evaluate the performance of stocks and bonds: Does the investment horizon matter?," The Quarterly Review of Economics and Finance, Elsevier, vol. 53(4), pages 429-439.
  40. Haim Levy, 1996. "Investment diversification and investment specialization and the assumed holding period," Applied Mathematical Finance, Taylor & Francis Journals, vol. 3(2), pages 117-134.
  41. Levy, Haim & Levy, Moshe, 2021. "Stocks versus bonds for the long run when a riskless asset is available," Journal of Banking & Finance, Elsevier, vol. 133(C).
  42. Scholz, Peter, 2012. "Size matters! How position sizing determines risk and return of technical timing strategies," CPQF Working Paper Series 31, Frankfurt School of Finance and Management, Centre for Practical Quantitative Finance (CPQF).
  43. Paolo Guasoni & Gu Wang, 2015. "Hedge and mutual funds’ fees and the separation of private investments," Finance and Stochastics, Springer, vol. 19(3), pages 473-507, July.
  44. Ziemba, William, 2016. "A response to Professor Paul A. Samuelson's objections to Kelly capital growth investing," LSE Research Online Documents on Economics 119002, London School of Economics and Political Science, LSE Library.
  45. Vajda, István & Ottucsák, György, 2006. "Empirikus portfólióstratégiák [Empirical portfolio strategies]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 624-640.
  46. Ben Hambly & Renyuan Xu & Huining Yang, 2023. "Recent advances in reinforcement learning in finance," Mathematical Finance, Wiley Blackwell, vol. 33(3), pages 437-503, July.
  47. Josheski Dushko & Apostolov Mico, 2020. "A Review of the Binomial and Trinomial Models for Option Pricing and their Convergence to the Black-Scholes Model Determined Option Prices," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 24(2), pages 53-85, June.
  48. Lakshman Alles, 2008. "The cost of downside protection and the time diversification issue in South Asian stock markets," Applied Financial Economics, Taylor & Francis Journals, vol. 18(10), pages 835-843.
  49. Chung, Kee H. & Smith, William T. & Wu, Tao L., 2009. "Time diversification: Definitions and some closed-form solutions," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1101-1111, June.
  50. Haim Levy & Moshe Levy, 2021. "Prospect theory, constant relative risk aversion, and the investment horizon," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-21, April.
  51. Taras Bodnar & Dmytro Ivasiuk & Nestor Parolya & Wofgang Schmid, 2018. "Mean-Variance Efficiency of Optimal Power and Logarithmic Utility Portfolios," Papers 1806.08005, arXiv.org, revised May 2019.
  52. Stanley Fischer, 1982. "Investing for the Short and the Long Term," NBER Working Papers 0922, National Bureau of Economic Research, Inc.
  53. Nitai Bergman & Yaacov Bergman, 2000. "Ecologies of Preferences with Envy as an Antidote to Risk-Aversion in Bargaining," Discussion Paper Series dp322, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2001.
  54. Jarrod Wilcox & Frank Fabozzi, 2009. "A Discretionary Wealth Approach to Investment Policy," Yale School of Management Working Papers amz2434, Yale School of Management.
  55. Joshua Rauh, 2007. "Risk Shifting versus Risk Management: Investment Policy in Corporate Pension Plans," NBER Working Papers 13240, National Bureau of Economic Research, Inc.
  56. David S. Jones & V. Vance Roley, 1981. "Bliss Points in Mean-Variance Portfolio Models," NBER Technical Working Papers 0019, National Bureau of Economic Research, Inc.
  57. Guido Caldarelli & M. Piccioni & E. Sciubba, 2000. "A Numerical Study On The Evolution Of Portfolio Rules," Computing in Economics and Finance 2000 334, Society for Computational Economics.
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