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  • An Integro-differential Equation for a Sparre Andersen Model with Investments
    motion. Sparre Andersen model Ut = u + ct − N(t)∑ k=1 Xk • u -initial surplus • c -premium rate • ... Tu = inf t≥0 {U(t) < 0 | U(0) = u} The probability of ruin with infinite horizon: Ψ(u) = P(Tu <∞).

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    • Authors: CORINA DANA CONSTANTINESCU, Enrique Thomann
    • Date: Jan 2007
    • Competency: Technical Skills & Analytical Problem Solving>Problem analysis and definition; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Topics: Modeling & Statistical Methods>Stochastic models
  • Hedging Equity-Linked Products Under Stochastic Volatility Models
    exp(iuxt + Cj(u, τ)θ + Dj(u, τ)vt) iu ) du, for j = 0, 1, with Cj(u, τ) and Dj(u, τ) functions of u, τ , κ ... discusses product design and pricing techniques Tiong (2000) and Lee (2003) present closed-form expressions ...

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    • Authors: Anne MacKay
    • Date: Aug 2011
    • Competency: Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Topics: Finance & Investments>Investment strategy - Finance & Investments; Modeling & Statistical Methods>Stochastic models
  • An Introduction to Collective Risk Theory and its Application to Stop-Loss Reinsurance
    two kinds, external risks such as heavy excess mortality resulting from wars and epidemics, and the risk ... completely, and the values of G(y, t) are shown in Table 1 by way of example. The details are left to the ...

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    • Authors: Ernest A Arvanitis, Russell M Collins, Paul H Jackson, Robert C Tookey, Paul Markham Kahn, Herbert L Feay
    • Date: Oct 1962
    • Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Publication Name: Transactions of the SOA
    • Topics: Modeling & Statistical Methods; Modeling & Statistical Methods>Stochastic models; Reinsurance>Stop-loss insurance
  • Random Switching Times Among Randomly Parameterized Regimes of Random Interest Rate Scenarios
    that we will present evolved out of a practi- tioner’s e¤orts to make sense of the traditional mean-reverting ... adequacy decisions Throughout the 1990’s and into the 2000’s the author provided the asset ade- quacy ...

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    • Authors: James Bridgeman
    • Date: Jan 2007
    • Competency: Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Topics: Modeling & Statistical Methods>Asset modeling; Modeling & Statistical Methods>Stochastic models
  • How to Make Guarantees on VAs Worth More than the Paper They&#39;re Written On
    How to Make Guarantees on VAs Worth More than the Paper They&#39;re Written On From a session ... hedging/capital management strategies can have. Annuity reserves;Asset allocation;Asset modeling;Capital ...

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    • Authors: Ari Lindner, Jason Kehrberg
    • Date: Jun 2004
    • Competency: Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Publication Name: Record of the Society of Actuaries
    • Topics: Finance & Investments>Risk measurement - Finance & Investments; Modeling & Statistical Methods>Stochastic models
  • Optimal Ruin Calculations Using Partial Stochastic Information
    at time t is defined to be U(t) = u + ct - S(t), t>-O. Here U(0) = u is the initial surplus, c is ... fund in dollars per year, and S is the stochastic claims process: S(t) = X l + . . . + Xu(o, where ...

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    • Authors: Samuel Cox, Patrick L Brockett
    • Date: Oct 1984
    • Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Publication Name: Transactions of the SOA
    • Topics: Modeling & Statistical Methods>Stochastic models
  • A New Collective Risk Model
    aggregate premiums is greater than the initial reserve u is e, where ~ = 0.001 or some other appropriately ... X, -- t(t,, + X)] > . I = The "initial reserve u" may be considered to be an amount of money which ...

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    • Authors: John A Beekman, Ethan Stroh, Richard W Ziock
    • Date: Oct 1973
    • Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Publication Name: Transactions of the SOA
    • Topics: Modeling & Statistical Methods; Modeling & Statistical Methods>Stochastic models
  • A Thought on Fermi Problems for Actuaries
    A Thought on Fermi Problems for Actuaries In physics and engineering education, Fermi problems ... problems are of particular relevance to today&#39;s actuaries, as pricing, reserving, and financial reporting ...

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    • Authors: Runhuan Feng
    • Date: Aug 2015
    • Competency: External Forces & Industry Knowledge>Actuarial methods in business operations; Technical Skills & Analytical Problem Solving>Problem analysis and definition; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Topics: Actuarial Profession>Academic partnerships; Life Insurance>Pricing - Life Insurance; Life Insurance>Reserves - Life Insurance; Modeling & Statistical Methods>Stochastic models
  • Optimal Retention Levels in Dynamic Reinsurance Markets
    Insurance-investment strategies Insurance/investment strategy: u(t) = (v(t), v 1(t), . . . , vm(t)) T. 5/12 Agenda ... Insurance-investment strategies Insurance/investment strategy: u(t) = (v(t), v 1(t), . . . , vm(t)) T. Wealth dynamics: ...

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    • Authors: Enrico Biffis
    • Date: Jan 2007
    • Competency: Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Topics: Modeling & Statistical Methods>Stochastic models; Reinsurance>Coinsurance
  • The Modeling Platform
    By Trevor Howes 9 Model Eff iciency in the U.S. Life Insurance Industry By Tony Dardis 17 A ... MODELING PLATFORM | 9 Model Eff iciency in the U.S. Life Insurance Industry By Tony Dardis In a life ...

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    • Authors: Society of Actuaries
    • Date: Apr 2016
    • Competency: Professional Values>Practice expertise; Technical Skills & Analytical Problem Solving>Incorporate risk management; Technical Skills & Analytical Problem Solving>Innovative solutions; Technical Skills & Analytical Problem Solving>Problem analysis and definition; Technical Skills & Analytical Problem Solving>Process and technique refinement
    • Publication Name: The Modeling Platform
    • Topics: Actuarial Profession>Best practices; Actuarial Profession>Competencies; Enterprise Risk Management>Governance; Enterprise Risk Management>Operational risks; Life Insurance>Policyholder behavior - Life Insurance; Life Insurance>Universal life; Modeling & Statistical Methods>Deterministic models; Modeling & Statistical Methods>Modeling efficiency; Modeling & Statistical Methods>Scenario generation; Modeling & Statistical Methods>Stochastic models; Technology & Applications>Software