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Pay-As-You-Drive Insurance Pricing Model

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  • Safoora Zarei
  • Ali R. Fallahi

Abstract

Every time drivers take to the road, and with each mile that they drive, exposes themselves and others to the risk of an accident. Insurance premiums are only weakly linked to mileage, however, and have lump-sum characteristics largely. The result is too much driving, and too many accidents. In this paper, we introduce some useful theoretical results for Pay-As-You-Drive in Automobile insurances. We consider a counting process and also find the distribution of discounted collective risk model when the counting process is non-homogeneous Poisson.

Suggested Citation

  • Safoora Zarei & Ali R. Fallahi, 2019. "Pay-As-You-Drive Insurance Pricing Model," Papers 1912.09273, arXiv.org.
    • Handle: RePEc:arx:papers:1912.09273
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    References listed on IDEAS

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    1. Ian W. H. Parry, 2005. "Is Pay-as-You-Drive Insurance a Better Way to Reduce Gasoline than Gasoline Taxes?," American Economic Review, American Economic Association, vol. 95(2), pages 288-293, May.
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    3. Mahmoudvand, Rahim & Hassani, Hossein, 2009. "Generalized Bonus-Malus Systems with a Frequency and a Severity Component on an Individual Basis in Automobile Insurance," ASTIN Bulletin, Cambridge University Press, vol. 39(1), pages 307-315, May.
    4. Abootaleb Shirvani & Yuan Hu & Svetlozar T. Rachev & Frank J. Fabozzi, 2019. "Option Pricing with Mixed Levy Subordinated Price Process and Implied Probability Weighting Function," Papers 1910.05902, arXiv.org, revised Apr 2020.
    5. Claude Lefèvre & Philippe Picard, 2013. "Ruin Time and Severity for a Lévy Subordinator Claim Process: A Simple Approach," Risks, MDPI, vol. 1(3), pages 1-21, December.
    6. Morales, Manuel, 2007. "On the expected discounted penalty function for a perturbed risk process driven by a subordinator," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 293-301, March.
    7. Abootaleb Shirvani & Svetlozar T. Rachev & Frank J. Fabozzi, 2019. "Multiple Subordinated Modeling of Asset Returns," Papers 1907.12600, arXiv.org.
    8. Abootaleb Shirvani & Dimitri Volchenkov, 2019. "A Regulated Market Under Sanctions: On Tail Dependence Between Oil, Gold, and Tehran Stock Exchange Index," Papers 1911.01826, arXiv.org.
    9. Abootaleb Shirvani & Stoyan V. Stoyanov & Frank J. Fabozzi & Svetlozar T. Rachev, 2019. "Equity Premium Puzzle or Faulty Economic Modelling?," Papers 1909.13019, arXiv.org, revised Jan 2020.
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