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  • Bounds on Expected Values of Insurance Payments and Option Prices
    Bounds ... = inf[ I h(x) dFIx) : F ~ M(y) ] and i b U(h y) = sup{ h(x) dF(x) : F c ~l,(y) } where y denotes ... The best uigper bound for h(x) = min{x, d} is U(h I y) = q 0-2 d for O~dSkt -b_ ~ ~t(b + d) ...

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    • Authors: Samuel Cox
    • Date: Jan 1990
    • Competency: Technical Skills & Analytical Problem Solving
    • Publication Name: Actuarial Research Clearing House
    • Topics: Finance & Investments; Modeling & Statistical Methods; Reinsurance
  • Securitization of Insurance Risk: The 1995 Bowles Symposium, Chapter 1: Bounds on the Price of Catastrophe Insurance Options on Futures Contracts
    present one way to allow for lack of information. Let S(t) denote the aggregate losses paid during the interval ... t]. The loss ratio on the set- tlement date T is S(T)/Q where Q is an estimate of the premiums written ...

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    • Authors: Samuel Cox, Patrick L Brockett, James Smith
    • Date: Oct 1997
    • Competency: Technical Skills & Analytical Problem Solving
    • Topics: Finance & Investments; Reinsurance