SOA Exam LTAM - actuarialbookstore.com

1 Actuarial study MaterialsLearning Made EasierWith StudyPlus+S OA Exam LTAMS tudy Manual1st Edition, Second PrintingAbraham Weishaus, , , CFA, NO RETURN IF OPENEDS tudyPlus+ gives you digital access* to: Flashcards Actuarial Exam & Career Strategy Guides Technical Skill eLearning Tools Samples of Supplemental Textbook And more!*See inside for keycode access and login instructionsContents1 Probability Functions and moments .. Probability distributions .. Bernoulli distribution .. Uniform distribution .. Exponential distribution .. Variance .. Normal approximation .. Conditional probability and expectation .. Conditional variance ..8 Exercises ..9 Solutions .. 132 Introduction to Long Term Insurance19I Survival Models213 Survival Distributions: Probability Probability notation .. Actuarial notation.

2 Life tables .. 27 Exercises .. 29 Solutions .. 354 Survival Distributions: Force of Mortality41 Exercises .. 46 Solutions .. 545 Survival Distributions: Mortality Mortality laws that may be used for human mortality .. Gompertz s law .. Makeham s law .. Weibull Distribution .. Mortality laws for easy computation .. Exponential distribution, or constant force of mortality .. Uniform distribution .. Beta distribution .. British mortality tables .. 73 Exercises .. 73 Solutions .. 776 Survival Distributions: Complete .. General .. Special mortality laws .. Curtate .. 88 SOA LTAM study Manual 1stedition 2ndprintingCopyright 2018 ASMiiiivCONTENTSE xercises .. 92 Solutions .. 1017 Survival Distributions: Percentiles and Percentiles.

3 Recursive formulas for life expectancy .. 116 Exercises .. 118 Solutions .. 1228 Survival Distributions: Fractional Uniform distribution of deaths .. Constant force of mortality .. 134 Exercises .. 135 Solutions .. 1429 Survival Distributions: Select Mortality151 Exercises .. 156 Solutions .. 16410 Survival Distributions: Models for Mortality Deterministic mortality improvement models .. Stochastic mortality improvement models .. The Lee Carter model .. The Cairns-Blake-Dowd (CBD) models .. 186 Exercises .. 189 Solutions .. 19511 Supplementary Questions: Survival Distributions201 Solutions .. 203II Insurances20912 Insurance: Annual and1/mthly Review of Financial Mathematics .. Moments of annual insurances .. Standard insurances and notation .. Standard Ultimate Life Table.

4 Constant force and uniform mortality .. Normal approximation .. insurance .. 220 Exercises .. 221 Solutions .. 23613 Insurance: Continuous Moments Part Definitions and general formulas .. Constant force of mortality .. 250 Exercises .. 257 Solutions .. 26714 Insurance: Continuous Moments Part Uniform survival function .. Other mortality functions .. 279 SOA LTAM study Manual 1stedition 2ndprintingCopyright 2018 Integratingatne ct(Gamma Integrands) .. Variance of endowment insurance .. Normal approximation .. 282 Exercises .. 283 Solutions .. 29015 Insurance: Probabilities and Introduction .. Probabilities for continuous insurance variables .. Distribution functions of insurance present values .. Probabilities for discrete variables .. Percentiles .. 306 Exercises.

5 309 Solutions .. 31316 Insurance: Recursive Formulas, Varying Recursive formulas .. Varying insurance .. 325 Exercises .. 333 Solutions .. 34117 Insurance: Relationships betweenAx,A(m)x, and Uniform distribution of deaths .. Claims acceleration approach .. 355 Exercises .. 356 Solutions .. 35918 Supplementary Questions: Insurances363 Solutions .. 364 III Annuities36719 Annuities: Discrete, Annuities-due .. Annuities-immediate .. annuities .. Actuarial Accumulated Value .. 378 Exercises .. 380 Solutions .. 39120 Annuities: Continuous, Whole life annuity .. Temporary and deferred life annuities .. certain-and-life annuity .. 409 Exercises .. 411 Solutions .. 41721 Annuities: Whole Life and Temporary Life Annuities .. Other Annuities .. Typical Exam Questions .. 427 SOA LTAM study Manual 1stedition 2ndprintingCopyright 2018 Combinations of Annuities and Insurances with No Variance.

6 430 Exercises .. 431 Solutions .. 44122 Annuities: Probabilities and Probabilities for continuous annuities .. Distribution functions of annuity present values .. Probabilities for discrete annuities .. Percentiles .. 460 Exercises .. 463 Solutions .. 46723 Annuities: Varying Annuities, Recursive Increasing and Decreasing Annuities .. Geometrically increasing annuities .. Arithmetically increasing annuities .. Recursive formulas .. 477 Exercises .. 478 Solutions .. 48424 Annuities:1/m-thly Uniform distribution of deaths assumption .. Woolhouse s formula .. 492 Exercises .. 496 Solutions .. 50025 Supplementary Questions: Annuities507 Solutions .. 510IV Premiums51526 Premiums: Net Premiums for Discrete Insurances Part Future loss .. Net premium .. 518 Exercises .. 520 Solutions.

7 52927 Premiums: Net Premiums for Discrete Insurances Part Premium formulas .. Expected value of future loss .. International Actuarial Premium Notation .. 542 Exercises .. 544 Solutions .. 55128 Premiums: Net Premiums Paid on a1/mthly Basis561 Exercises .. 562 Solutions .. 56629 Premiums: Net Premiums for Fully Continuous Insurances571 Exercises .. 574 Solutions .. 580 SOA LTAM study Manual 1stedition 2ndprintingCopyright 2018 ASMCONTENTSvii30 Premiums: Gross Gross future loss .. Gross premium .. 588 Exercises .. 590 Solutions .. 59731 Premiums: Variance of Future Loss, Variance of net future loss .. Variance of net future loss by formula .. Variance of net future loss from first principles .. Variance of gross future loss .. 606 Exercises .. 608 Solutions .. 61432 Premiums: Variance of Future Loss, Variance of net future loss.

8 Variance of gross future loss .. 624 Exercises .. 625 Solutions .. 63233 Premiums: Probabilities and Percentiles of Future Probabilities .. Fully continuous insurances .. Discrete insurances .. Annuities .. Gross future loss .. Percentiles .. 649 Exercises .. 650 Solutions .. 65334 Premiums: Special The portfolio percentile premium principle .. Extra risks .. 663 Exercises .. 663 Solutions .. 66535 Supplementary Questions: Premiums669 Solutions .. 672V Reserves67936 Reserves: Net Premium Reserve681 Exercises .. 686 Solutions .. 69337 Reserves: Gross Premium Reserve and Expense Gross premium reserve .. Expense reserve .. 705 Exercises .. 707 Solutions .. 710 SOA LTAM study Manual 1stedition 2ndprintingCopyright 2018 ASMviiiCONTENTS38 Reserves: Special Formulas for Whole Life and Endowment Annuity-ratio formula.

9 Insurance-ratio formula .. Premium-ratio formula .. 717 Exercises .. 719 Solutions .. 72739 Reserves: Variance of Loss737 Exercises .. 739 Solutions .. 74540 Reserves: Recursive Net premium reserve .. Insurances and annuities with payment of reserve upon death .. Gross premium reserve .. 760 Exercises .. 763 Solutions .. 78241 Reserves: Modified Reserves801 Exercises .. 802 Solutions .. 80642 Reserves: Other Reserves on semicontinuous insurance .. Reserves between premium dates .. Thiele s differential equation .. 816 Exercises .. 820 Solutions .. 82743 Supplementary Questions: Reserves837 Solutions .. 839VI Markov Chains84544 Markov Chains: Discrete Introduction .. Definition of Markov chains .. Discrete Markov chains .. 851 Exercises .. 854 Solutions .. 85745 Markov Chains: Continuous Probabilities direct calculation.

10 Kolmogorov s forward equations .. 865 Exercises .. 867 Solutions .. 87646 Markov Chains: Premiums and Premiums .. Reserves .. Reserve recursions .. 889 SOA LTAM study Manual 1stedition 2ndprintingCopyright 2018 ASMCONTENTSixExercises .. 892 Solutions .. 90347 Applications of Markov Disability income insurance .. Features of disability income insurance .. Premiums and reserves for disability income insurance .. Hospital indemnity insurance .. Long Term Care Insurance (LTC) .. Features of LTC .. Models for LTC .. Critical Illness and Chronic Illness Insurance .. Continuing care retirement communities (CCRCs) .. Features of CCRCs .. Models for CCRCs .. Structured settlements .. 924 Exercises .. 927 Solutions .. 939 VII Multiple Decrements94748 Multiple Decrement Models: Probabilities.