IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v212y2019icp51-59.html
   My bibliography  Save this article

The dependence of the incremental risk rate of interest on absolute risk aversion - Applying the Laplace transform to risk preference evaluation

Author

Listed:
  • Grubbström, Robert W.

Abstract

In this paper we base our study on the application of the Laplace transform to risk preference theory. With a constant measure of absolute risk aversion (Pratt, 1964; Arrow, 1965), the Certainty Monetary Equivalent (CME) of a risky project previously has been developed into an expression involving the logarithm of the bilateral Laplace transform of the probability density of its stochastic economic outcome. The internal risk aversion (IRA) is the break-even level of the absolute risk aversion, between making the project favourable or unfavourable.

Suggested Citation

  • Grubbström, Robert W., 2019. "The dependence of the incremental risk rate of interest on absolute risk aversion - Applying the Laplace transform to risk preference evaluation," International Journal of Production Economics, Elsevier, vol. 212(C), pages 51-59.
  • Handle: RePEc:eee:proeco:v:212:y:2019:i:c:p:51-59
    DOI: 10.1016/j.ijpe.2019.01.031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527319300398
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2019.01.031?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Robert J. Aumann & Roberto Serrano, 2008. "An Economic Index of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 810-836, October.
    2. Robert W. Grubbström & Brian G. Kingsman, 2004. "Ordering and Inventory Policies for Step Changes in the Unit Item Cost: A Discounted Cash Flow Approach," Management Science, INFORMS, vol. 50(2), pages 253-267, February.
    3. Schulze, Klaas, 2014. "Existence and computation of the Aumann–Serrano index of riskiness and its extension," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 219-224.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Grubbström, Robert W., 2021. "Production decisions based on absolute vs. relative risk aversion and their extensions," International Journal of Production Economics, Elsevier, vol. 234(C).
    2. Heller, Yuval & Schreiber, Amnon, 2020. "Short-term investments and indices of risk," Theoretical Economics, Econometric Society, vol. 15(3), July.
    3. Tiantian Li & Young Shin Kim & Qi Fan & Fumin Zhu, 2021. "Aumann–Serrano index of risk in portfolio optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 197-217, October.
    4. Niu, Cuizhen & Guo, Xu & McAleer, Michael & Wong, Wing-Keung, 2018. "Theory and application of an economic performance measure of risk," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 383-396.
    5. Kuang-Liang Chang & Charles Ka Yui Leung, 2022. "How did the asset markets change after the Global Financial Crisis?," Chapters, in: Charles K.Y. Leung (ed.), Handbook of Real Estate and Macroeconomics, chapter 12, pages 312-336, Edward Elgar Publishing.
    6. Hodoshima, Jiro & Miyahara, Yoshio, 2020. "Utility indifference pricing and the Aumann–Serrano performance index," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 83-89.
    7. Usategui, José M., 2017. "Riskiness in binary gambles: A geometric analysis," Economics Letters, Elsevier, vol. 159(C), pages 149-152.
    8. Klaas Schulze, 2015. "General dual measures of riskiness," Theory and Decision, Springer, vol. 78(2), pages 289-304, February.
    9. Soo Hong Chew & Jacob S. Sagi, 2022. "A critical look at the Aumann-Serrano and Foster-Hart measures of riskiness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 397-422, September.
    10. Yuval Heller & Amnon Schreiber, 2020. "Short-Term Investments and Indices of Risk," Papers 2005.06576, arXiv.org.
    11. Cui, Zhenyu & Wu, Cai & Zhu, Lingjiong, 2023. "Explicit solution to the economic index of riskiness," Economics Letters, Elsevier, vol. 232(C).
    12. 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.
    13. Christian Gollier & James Hammitt & Nicolas Treich, 2013. "Risk and choice: A research saga," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 129-145, October.
    14. Xiaosheng Mu & Luciano Pomatto & Philipp Strack & Omer Tamuz, 2021. "From Blackwell Dominance in Large Samples to Rényi Divergences and Back Again," Econometrica, Econometric Society, vol. 89(1), pages 475-506, January.
    15. Chamorro Elosua, Arritokieta & Usategui Díaz de Otalora, José María, 2013. "A Note on Risk Acceptance, Bankruptcy Avoidance and Riskiness Measures," DFAEII Working Papers 1988-088X, University of the Basque Country - Department of Foundations of Economic Analysis II.
    16. Gagnon, Marie-Hélène & Power, Gabriel J. & Toupin, Dominique, 2023. "The sum of all fears: Forecasting international returns using option-implied risk measures," Journal of Banking & Finance, Elsevier, vol. 146(C).
    17. Tomer Siedner, 2015. "Risk of Monetary Gambles: An Axiomatic Approach," Discussion Paper Series dp682, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    18. Yao, Haixiang & Huang, Jinbo & Li, Yong & Humphrey, Jacquelyn E., 2021. "A general approach to smooth and convex portfolio optimization using lower partial moments," Journal of Banking & Finance, Elsevier, vol. 129(C).
    19. Irina Georgescu & Jani Kinnunen, 2013. "A risk approach by credibility theory," Fuzzy Information and Engineering, Springer, vol. 5(4), pages 399-416, December.
    20. A. Mantovi, 2013. "Mapping completely proper rationality," Economics Department Working Papers 2013-EP01, Department of Economics, Parma University (Italy).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:212:y:2019:i:c:p:51-59. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.