IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v52y2013i2p370-380.html
   My bibliography  Save this article

Level premium rates as a function of initial capital

Author

Listed:
  • Malinovskii, Vsevolod K.

Abstract

In Malinovskii (2012), level premium rate and level initial capital were used to construct solvent and equitable strategies in a multi-period game model of risk. Focused there was the level initial capital regarded as a function of the annual premium rate. With the prospective goal to study adaptive control strategies on falling competitive insurance markets, in this paper we focus on the level premium rate regarded as a function of initial capital.

Suggested Citation

  • Malinovskii, Vsevolod K., 2013. "Level premium rates as a function of initial capital," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 370-380.
  • Handle: RePEc:eee:insuma:v:52:y:2013:i:2:p:370-380
    DOI: 10.1016/j.insmatheco.2013.02.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167668713000139
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.insmatheco.2013.02.001?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. Malinovskii, Vsevolod K., 2012. "Equitable solvent controls in a multi-period game model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 599-616.
    2. Malinovskii, V. K., 2007. "Zone-Adaptive Control Strategy for a Multiperiodic Model of Risk," Annals of Actuarial Science, Cambridge University Press, vol. 2(2), pages 349-367, September.
    3. Malinovskii, Vsevolod K., 2009. "Scenario Analysis for a Multi-Period Diffusion Model of Risk," ASTIN Bulletin, Cambridge University Press, vol. 39(2), pages 649-676, November.
    4. Teugels, Jozef L., 1982. "Estimation of ruin probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 1(3), pages 197-211, July.
    5. Malinovskii, Vsevolod K., 2008. "Adaptive control strategies and dependence of finite time ruin on the premium loading," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 81-94, February.
    6. Malinovskii, Vsevolod K., 2008. "Risk theory insight into a zone-adaptive control strategy," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 656-667, April.
    7. Malinovskii, Vsevolod K., 2010. "Competition-Originated Cycles and Insurance Strategies," ASTIN Bulletin, Cambridge University Press, vol. 40(2), pages 797-843, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Malinovskii, Vsevolod K., 2014. "Improved asymptotic upper bounds on the ruin capital in the Lundberg model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 301-309.
    2. Vsevolod K. Malinovskii, 2014. "Elementary Bounds on the Ruin Capital in a Diffusion Model of Risk," Risks, MDPI, vol. 2(3), pages 1-11, July.
    3. Malinovskii, Vsevolod K., 2014. "Annual intrinsic value of a company in a competitive insurance market," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 310-318.
    4. Malinovskii, Vsevolod K. & Kosova, Ksenia O., 2014. "Simulation analysis of ruin capital in Sparre Andersen’s model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 184-193.
    5. Malinovskii, Vsevolod K., 2013. "Rationale of underwriters’ pricing conduct on competitive insurance market," Insurance: Mathematics and Economics, Elsevier, vol. 53(2), pages 325-333.

    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. Malinovskii, Vsevolod K., 2014. "Annual intrinsic value of a company in a competitive insurance market," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 310-318.
    2. Malinovskii, Vsevolod K., 2012. "Equitable solvent controls in a multi-period game model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 599-616.
    3. Malinovskii, Vsevolod K., 2014. "Improved asymptotic upper bounds on the ruin capital in the Lundberg model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 301-309.
    4. Malinovskii, Vsevolod K. & Kosova, Ksenia O., 2014. "Simulation analysis of ruin capital in Sparre Andersen’s model of risk," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 184-193.
    5. Malinovskii, Vsevolod K., 2013. "Rationale of underwriters’ pricing conduct on competitive insurance market," Insurance: Mathematics and Economics, Elsevier, vol. 53(2), pages 325-333.
    6. Vsevolod K. Malinovskii, 2014. "Elementary Bounds on the Ruin Capital in a Diffusion Model of Risk," Risks, MDPI, vol. 2(3), pages 1-11, July.
    7. Shi‐jie Jiang & Jeffrey Tzu‐Hao Tsai & Feiyun Xiang, 2023. "Dynamics of underwriting profits in the US market: Payout patterns and regulation effects," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(3), pages 3100-3118, July.
    8. Boonen, Tim J. & Pantelous, Athanasios A. & Wu, Renchao, 2018. "Non-cooperative dynamic games for general insurance markets," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 123-135.
    9. Annette Hofmann & Cristina Sattarhoff, 2023. "Underwriting Cycles in Property-Casualty Insurance: The Impact of Catastrophic Events," Risks, MDPI, vol. 11(4), pages 1-25, April.
    10. Vsevolod Malinovskii, 2020. "Value-at-Risk substitute for non-ruin capital is fallacious and redundant," Papers 2005.05428, arXiv.org.
    11. Malinovskii, Vsevolod K., 2015. "On rational pricing for a profit-seeking insurer in the year of hard market," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 107-117.
    12. Malinovskii, Vsevolod K., 2008. "Risk theory insight into a zone-adaptive control strategy," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 656-667, April.
    13. Malinovskii, Vsevolod K., 2015. "Business planning for a profit-seeking insurer under deficiency of information," Insurance: Mathematics and Economics, Elsevier, vol. 62(C), pages 215-226.
    14. L. Vannucci, 1990. "La rovina del giocatore con dipendenza markoffiana nel processo di alternativa," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 13(1), pages 73-85, March.
    15. Landriault, David & Lemieux, Christiane & Willmot, Gordon E., 2012. "An adaptive premium policy with a Bayesian motivation in the classical risk model," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 370-378.

    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:insuma:v:52:y:2013:i:2:p:370-380. 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/inca/505554 .

    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.