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A review of the Markov model of life insurance with a view to surplus

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  • Oytun Hac{c}ar{i}z
  • Torsten Kleinow
  • Angus S. Macdonald

Abstract

We review Markov models of surplus in life insurance based on a counting process following Norberg (1991), uniting probabilistic theory with elements of practice largely drawn from UK experience. First, we organize models systematically based on one and two technical bases, including a suitable descriptive notation. Extending this to three technical bases to accommodate different valuation approaches leads us: (a) to expand the definition of 'technical basis' to include non-contractual cashflows recognized in the associated Thiele equation; and (b) to add new (mainly) systematic terms to the surplus. Making these cashflows dynamic or 'quasi-contractual' covers many real applications, and we give two as examples, the paid-up valuation principle and reversionary bonus on participating contracts.

Suggested Citation

  • Oytun Hac{c}ar{i}z & Torsten Kleinow & Angus S. Macdonald, 2025. "A review of the Markov model of life insurance with a view to surplus," Papers 2509.00011, arXiv.org.
    • Handle: RePEc:arx:papers:2509.00011
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