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  • Optimal Reinsurance with Positive Dependence
    ρ(X ) = E [u(X )] u(x) is a convex function. For example u(x) = x2 – minimize variance; u(x) = eγx – ... – maximize utility of insurer’s wealth: u(x) = (x − E [X ])2+ – minimize semi-variance. Mean-Variance ...

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    • Authors: Jun Cai
    • Date: Jan 2012
    • Competency: Technical Skills & Analytical Problem Solving
    • Topics: Modeling & Statistical Methods; Reinsurance; Reinsurance>Coinsurance; Reinsurance>Stop-loss insurance
  • 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
  • Adjustment Coefficient in the Sparre Anderson Model with Reinsurance
    and infinitesimal variance 2D > 0. Independent of S(t) and W (t) ∼ N(0,2Dt) 4 {Xi}∞i=1: claim amount ... insurer’s expenses rate. c: commission payment rate. u: non-negative initial surplus. 5 2. Assumptions ...

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    • Authors: Zhi Li
    • Date: Jan 2006
    • Competency: Results-Oriented Solutions; Technical Skills & Analytical Problem Solving
    • Topics: Modeling & Statistical Methods; Reinsurance; Reinsurance>Catastrophe reinsurance; Reinsurance>Coinsurance; Reinsurance>Stop-loss insurance
  • Coherent Distortion Risk Measures in Portfolio Selection
    Optimization Return maximization subject to CVaR constraint(s) maximize c′x subject to ζi + 11−α m∑ j=1 pjzij ... ar ke tP or tfo lio Va lu e 500 1000 1500 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 ...

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    • Authors: Ken Seng Tan, Mingbin Feng
    • Date: Jan 2012
    • Competency: Technical Skills & Analytical Problem Solving
    • Topics: Finance & Investments; Modeling & Statistical Methods; Reinsurance