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Hysteresis bands on returns, holding period and transaction costs

Author

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  • Delgado, Francisco
  • Dumas, Bernard
  • Puopolo, Giovanni W.
Abstract
In the presence of transactions costs, no matter how small, arbitrage activity does not necessarily render equal all riskless rates of return. When two such rates follow stochastic processes, it is not optimal immediately to arbitrage out any discrepancy that arises between them. The reason is that immediate arbitrage would induce a definite expenditure of transactions costs whereas, without arbitrage intervention, there exists some, perhaps sufficient, probability that these two interest rates will come back together without any costs having been incurred. Hence, one can surmise that at equilibrium the financial market will permit the coexistence of two riskless rates that are not equal to each other. For analogous reasons, randomly fluctuating expected rates of return on risky assets will be allowed to differ even after correction for risk, leading to important violations of the Capital Asset Pricing Model. The combination of randomness in expected rates of return and proportional transactions costs is a serious blow to existing frictionless pricing models.

Suggested Citation

  • Delgado, Francisco & Dumas, Bernard & Puopolo, Giovanni W., 2015. "Hysteresis bands on returns, holding period and transaction costs," Journal of Banking & Finance, Elsevier, vol. 57(C), pages 86-100.
    • Handle: RePEc:eee:jbfina:v:57:y:2015:i:c:p:86-100
    DOI: 10.1016/j.jbankfin.2014.12.015
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    Cited by:

    1. Florent Gallien & Serge Kassibrakis & Semyon Malamud, 2018. "Hedge or Rebalance: Optimal Risk Management with Transaction Costs," Risks, MDPI, vol. 6(4), pages 1-14, October.
    2. Adrian Buss & Bernard Dumas, 2019. "The Dynamic Properties of Financial‐Market Equilibrium with Trading Fees," Journal of Finance, American Finance Association, vol. 74(2), pages 795-844, April.
    3. Dumas, Bernard & Buss, Adrian, 2015. "Trading Fees and Slow-Moving Capital," CEPR Discussion Papers 10737, C.E.P.R. Discussion Papers.
    4. Giovanni W. Puopolo, 2015. "Portfolio Selection with Transaction Costs and Default Risk," CSEF Working Papers 414, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.

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    More about this item

    Keywords

    C61; D11; D91; G11; Portfolio choice; Transaction costs; Return predictability;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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