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Actuarial Statistics
This paper aims at teaching the students to deal with asses risk in insurance and finance using statistical methods.
Acturial Science: Concept, scope, Introduction to insurance business, concept of risk, role of statistics in insurance.Risk models for short term : expected value principle, notation of utility risk model for short term.
Survival Distribution: Future life time distribution and life table, future life time random variable, curate future life time, complete life table, assumption of fraction ages, force of mortality.
Life Insurance: Actuarial present value benefit in life insurance product, compound interest, discount factor, benefit payable at the moment of death, relation between A and pure endowment. Sickness benefit, disability benefit, widows pension, benefit dependent on marriage.
Annuity: introduction, life annuity: single payment, continuous life annuity, discrete life annuity, life annuity with monthly payments, commutation function, varying annuity recursion, complete annuity: immediate and apportionable annuities- due.
Multiple decrement table, force of decrement, construction of decrement table. Premium: continuous and discrete premium, true monthly payment premium, apportionable premium, commutation functions, accumulation type benefits.
1. Dickson, C.M.D. (2005): Insurance Risk and Ruin(International Series On Acturial Science), Cambridge University Press
2. Bowers, N.L., Gerber, H.U., Hickman, J.C., Jones, D.A., Nesbitt, C.J.(1997): Actuarial Mathematics, Society of Actuaries, Itasca, Illinois, U.S.A.
3. Atkinson, M.E. & Dickson, D.C.M. (2000). An Introduction to Actuarial Studies, Elgar Publ.
4. Daykin, C.D, Pentikainen, T & Pesonen, M. (1994). Practical Risk Theory for Actuaries, Chapman & Hall.
