IDEAS home Printed from https://ideas.repec.org/a/cvv/journ2/v11y2024i1-2p1-37.html

Multivariate risk exposure: Risk-premium, optimal decisions and mean-variance implications

Author

Listed:
  • Ana Paula MARTINS

    (UCP Católica Lisbon School of Business & Economics, Universidade Católica Portuguesa, Portugal)

Abstract

This research develops and expands the concept of risk-premium to a multivariate environment, providing an operational framework for the analysis of mean-variance optimizers’ attitudes towards exogenous uncertainty. Firstly, it digresses over possible approximations to the risk premium. Secondly, importance and properties of the variance of the objective function are highlighted. Thirdly, impact of uncertainty on the objective function and on control variables of mean-variance agents is confronted with that of expected function optimizer’s. The analysis is also applied to ex-post flexible or adjustable environments with respect to the decision variables. Production theory examples are briefly sketched. Innovation in tools include matrix algebra results and representation of higher than second moments – with reference to the multinormal as a special case –, and implicit rules of first-order condition point-wise optimization of functions of expected value and of variance of other functions.

Suggested Citation

  • Ana Paula MARTINS, 2024. "Multivariate risk exposure: Risk-premium, optimal decisions and mean-variance implications," Turkish Economic Review, EconSciences Journals, vol. 11(1-2), pages 1-37, May.
    • Handle: RePEc:cvv:journ2:v:11:y:2024:i:1-2:p:1-37
    as

    Download full text from publisher

    File URL: https://journals.econsciences.com/index.php/TER/article/download/2472/3222
    Download Restriction: no
    File URL: https://journals.econsciences.com/index.php/TER/article/view/2472
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hartman, Richard, 1975. "Competitive Firm and the Theory of Input Demand under Price Uncertainty: Comment," Journal of Political Economy, University of Chicago Press, vol. 83(6), pages 1289-1290, December.
    2. Sandmo, Agnar, 1971. "On the Theory of the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 61(1), pages 65-73, March.
    3. Batra, Raveendra N & Ullah, Aman, 1974. "Competitive Firm and the Theory of Input Demand under Price Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 82(3), pages 537-548, May/June.
    4. Keeney, Ralph L, 1973. "Risk Independence and Multiattributed Utility Functions," Econometrica, Econometric Society, vol. 41(1), pages 27-34, January.
    5. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    6. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    7. Ana Paula Martins, 2008. "Uninsurable Risks: Uncertainty in Production, the Value of Information and Price Dispersion," Economics Bulletin, AccessEcon, vol. 28(8), pages 1.
    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. Ana Paula Martins, 2008. "Uninsurable Risks: Uncertainty in Production, the Value of Information and Price Dispersion," Economics Bulletin, AccessEcon, vol. 28(8), pages 1.
    2. Ana Paula MARTINS, 2025. "Multivariate risk exposure: Risk-premium, optimal decisions and mean-variance implications," Journal of Economics and Political Economy, EconSciences Journals, vol. 12(1), pages 1-39, March.
    3. Richard Watt, 2020. "An Overlooked Result on the Competitive Firm under Output Price Risk: Are Factor Demand Curves Downward Sloping?," Working Papers in Economics 20/11, University of Canterbury, Department of Economics and Finance.
    4. Pan, Shihua, 1990. "The microfoundations of mixed system of planning and markets: some theoretical considerations and an empirical analysis of the Chinese agriculture," ISU General Staff Papers 1990010108000010876, Iowa State University, Department of Economics.
    5. Broll, Udo & Wong, Keith K.P., 2010. "The firm under uncertainty: capital structure and background risk," Dresden Discussion Paper Series in Economics 04/10, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    6. Riedl, Arno & van Winden, Frans, 2012. "Input versus output taxation in an experimental international economy," European Economic Review, Elsevier, vol. 56(2), pages 216-232.
    7. Fatma Lajeri-Chaherli, 2016. "On The Concavity And Quasiconcavity Properties Of ( Σ , Μ ) Utility Functions," Bulletin of Economic Research, Wiley Blackwell, vol. 68(3), pages 287-296, April.
    8. Guy Meunier, 2014. "Risk Aversion and Technology Portfolios," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 44(4), pages 347-365, June.
    9. Perry, Janet E. & Mishra, Ashok K., 1999. "Forward Contracting Of Inputs: A Farm-Level Analysis," Journal of Agribusiness, Agricultural Economics Association of Georgia, vol. 17(2), pages 1-15.
    10. Hurley, Terrance M., "undated". "A review of agricultural production risk in the developing world," Working Papers 188476, HarvestChoice.
    11. Udo Broll & Kit Wong, 2013. "The firm under uncertainty: real and financial decisions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 36(2), pages 125-136, November.
    12. Watt, Richard, 2020. "Overlooked results on the competitive firm under output price risk: Alternative sufficient conditions for downward sloping factor demand curves," Economics Letters, Elsevier, vol. 196(C).
    13. Boussemart, Jean-Philippe & Crainich, David & Leleu, Hervé, 2015. "A decomposition of profit loss under output price uncertainty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 1016-1027.
    14. Thomas Eichner & Andreas Wagener, 2002. "Increases in Risk and the Welfare State," CESifo Working Paper Series 685, CESifo.
    15. Park, Timothy A. & Antonovitz, Frances, "undated". "Econometric Tests Of Firm Decision Making Under Uncertainty: Optimal Output And Hedging Decisions," 1991 Annual Meeting, August 4-7, Manhattan, Kansas 271264, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    16. Cherchye, L. & Post, G.T., 2001. "Methodological Advances in Dea," ERIM Report Series Research in Management ERS-2001-53-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    17. Thomas Eichner & Rüdiger Pethig, 2015. "Efficient Management of Insecure Fossil Fuel Imports through Taxing Domestic Green Energy?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(5), pages 724-751, October.
    18. Zubanov, Nick & Cadsby, Bram & Song, Fei, 2017. "The," IZA Discussion Papers 10542, IZA Network @ LISER.
    19. Thomas Eichner, 2010. "Slutzky equations and substitution effects of risks in terms of mean-variance preferences," Theory and Decision, Springer, vol. 69(1), pages 17-26, July.
    20. Asplund, Marcus, 2002. "Risk-averse firms in oligopoly," International Journal of Industrial Organization, Elsevier, vol. 20(7), pages 995-1012, September.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

    Statistics

    Access and download statistics

    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:cvv:journ2:v:11:y:2024:i:1-2:p:1-37. 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: Bilal KARGI (email available below). General contact details of provider: https://journals.econsciences.com/index.php/TER .

    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.