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Comparison of utility indifference pricing and mean-variance approach under normal mixture

Author

Listed:
  • Hodoshima, Jiro
  • Misawa, Tetsuya
  • Miyahara, Yoshio

Abstract

We study utility indifference pricing in order to measure a random cash flow. We evaluate a utility indifference price with an exponential utility function, which we call a risk-sensitive value measure, under the class of normal mixture distributions. It has desirable properties as a value measure. We compare the risk-sensitive value measure and mean-variance approach and provide an empirical application.

Suggested Citation

  • Hodoshima, Jiro & Misawa, Tetsuya & Miyahara, Yoshio, 2018. "Comparison of utility indifference pricing and mean-variance approach under normal mixture," Finance Research Letters, Elsevier, vol. 24(C), pages 221-229.
    • Handle: RePEc:eee:finlet:v:24:y:2018:i:c:p:221-229
    DOI: 10.1016/j.frl.2017.09.008
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    References listed on IDEAS

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    1. Kon, Stanley J, 1984. "Models of Stock Returns-A Comparison," Journal of Finance, American Finance Association, vol. 39(1), pages 147-165, March.
    2. Ritchey, Robert J, 1990. "Call Option Valuation for Discrete Normal Mixtures," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(4), pages 285-296, Winter.
    3. Alexander, Carol, 2004. "Normal mixture diffusion with uncertain volatility: Modelling short- and long-term smile effects," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 2957-2980, December.
    4. Robert J. Ritchey, 1990. "Call Option Valuation For Discrete Normal Mixtures," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(4), pages 285-296, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Jiro Hodoshima & Tetsuya Misawa & Yoshio Miyahara, 2020. "Stock Performance Evaluation Incorporating High Moments and Disaster Risk: Evidence from Japan," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(2), pages 155-174, June.
    2. Jiro Hodoshima, 2021. "Evaluation of performance of stock and real estate investment trust markets in Japan," Empirical Economics, Springer, vol. 61(1), pages 101-120, July.
    3. Yoshio Miyahara, 2022. "Both Sensitive Value Measure and its Applications," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 29(2), pages 357-379, June.
    4. Hodoshima, Jiro & Yamawake, Toshiyuki, 2019. "Comparison of utility indifference pricing and mean-variance approach under a normal mixture distribution with time-varying volatility," Finance Research Letters, Elsevier, vol. 28(C), pages 74-81.
    5. Yoshio Miyahara, 2020. "Inner Rate of Risk Aversion (IRRA) and Its Applications to Investment Selection," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(2), pages 193-212, June.

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    More about this item

    Keywords

    Random cash flow; Value measure; Utility indifference pricing; Normal mixture;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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