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Aug 11 2008

The Actuary’s Free Study Guide for Exam 3L

Published by G. Stolyarov II

Free Tools for Rational Education

The Actuary’s Free Study Guide for Exam 3L

G. Stolyarov II
Fall 2008
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A Comprehensive List of Free Study Materials for Exam 3L

Section 1: Life Table Probability Functions - Part 1

Section 2: Life Table Probability Functions - Part 2

Section 3: Curate-Future-Lifetime

Section 4: Force of Mortality

Section 5: Identities Involving Life Table Functions and Force of Mortality

Section 6: Life Table Probability Functions - Part 3

Section 7: Life Table Probability Functions - Part 4

Section 8: Deterministic Survivorship Groups

Section 9: Computing Expected Values for Continuous Random Variables

Section 10: Complete-Expectation-of-Life

Section 11: Median Future Lifetime

Section 12: Computing Expected Values for Discrete Random Variables

Section 13: Life Table Probability Functions - Part 5

Section 14: Life Table Functions - Part 6

Section 15: The Uniform Distribution of Deaths Assumption for Fractional Ages

Section 16: The Uniform Distribution of Deaths Assumption for Fractional Ages - Part 2

Section 17: Exam-Style Questions on Life Table Functions

Section 18: Exam-Style Questions on Life Table Functions - Part 2

Section 19: Temporary Complete Life Expectancy

Section 20: Recursion Formulas

Section 21: Term Life Insurance

Section 22: Moments of the Present Value of a Term Life Insurance Policy

Section 23: Whole Life Insurance

Section 24: Makeham’s Law of Mortality

Section 25: Weibull’s Law of Mortality

Section 26: Probability Density Functions and Cumulative Distribution Functions of Present-Value Random Variables

Section 27: Pure Endowments

Section 28: Endowment Insurance

Section 29: Deferred Life Insurance

Section 30: Annually Increasing Whole Life Insurance

Section 31: Continuously Increasing Whole Life Insurance

Section 32: Annually Decreasing Term Life Insurance

Section 33: Insurances Payable at the End of the Year of Death

Section 34: Whole Life Insurance Payable at the End of the Year of Death

Section 35: Endowment Insurance Payable at the End of the Year of Death

Section 36: Exam-Style Questions on Life Insurance Policies

Section 37: Continuous Whole and Temporary Life Annuities

Section 38: Variances and Relationships Among Present Values of Continuous Whole and Temporary Life Annuities

Section 39: Continuous Deferred Life Annuities and Certain and Life Annuities

Section 40: Actuarial Accumulated Values and Derivatives of Actuarial Present Values of Continuous Life Annuities

Section 41: Discrete Whole Life Annuities

Section 42: Discrete Temporary Life Annuities

Section 43: Discrete Deferred Life Annuities and Certain and Life Annuities

Section 44: The Equivalence Principle and Fully Continuous Benefit Premiums for Whole, Term, and Endowment Life Insurance Policies

Section 45: Fully Continuous Benefit Premiums for Pure Endowments and Exam-Style Questions on Life Insurance and Life Annuities

Section 46: Exam-Style Questions on Life Table Functions for Independent Lives and Multiple Causes of Decrement

Section 47: The Pareto and Weibull Probability Distributions

Section 48: The Negative Binomial Distribution and Some Associated Mixture Distributions

Section 49: The Lognormal Probability Distribution, Markov Chains, and Assorted Exam-Style Questions

Section 50: Probability Generating Functions, Poisson Processes, and Assorted Exam-Style Questions

Section 51: Binomial, Pareto, and Compound Probability Distributions

Section 52: Fully Discrete Benefit Premiums, Infinite Divisibility Property for Some Probability Distributions, and Assorted Exam-Style Questions

Section 53: Order Statistics, Likelihood Functions, and Maximum Likelihood Estimates

Section 54: Exam-Style Questions on the Method of Moments, Significance Levels, and the Neyman-Pearson Lemma

Section 55: Chi-Square Goodness-of-Fit Test

Section 56: Hypothesis Testing: Type I and Type II Errors, p-Values, and the Student t Distribution

Section 57: Least-Squares Regression and Assorted Exam-Style Questions

Section 58: Fully Discrete Benefit Reserves

Section 59: The Central Limit Theorem and the Continuity Correction for Normal Approximations

Section 60: Characteristics of Estimators, Mean Square Error, and Assorted Exam-Style Questions

Section 61: Residuals in Linear Regression and Assorted Exam-Style Questions

Section 62: Assorted Exam-Style Questions on Compound Poisson Processes, Normal Approximations, Force of Mortality, and Multiple Forces of Decrement

Section 63: Exam-Style Questions on Markov Chains and Percentile Calculations

Section 64: Poisson Processes and the Gamma Distribution

Section 65: The F Distribution and Hypothesis Testing of Variances

Section 66: Joint-Life Status and Last-Survivor Status

Section 67: Assorted Exam-Style Review Questions for Actuarial Exam 3L

Section 68: Challenging Exam-Style Review Questions for Actuarial Exam 3L

Section 69: Exam-Style Questions for Actuarial Exam 3L - Part 3

Section 70: Pooled Sample Variances and Covariances for Multiple-Life Statuses

Section 71: The Coefficient of Determination in Linear Regression, Fully Continuous Benefit Reserves Under DeMoivre’s Law, and Assorted Exam-Style Questions

Section 72: Chi-Square Test for the Variance and Assorted Exam-Style Questions

Section 73: Exam-Style Questions for Actuarial Exam 3L - Part 4

Section 74: Exam-Style Questions for Actuarial Exam 3L - Part 5

Section 75: Exam-Style Questions for Actuarial Exam 3L - Part 6

Section 76: Exam-Style Questions for Actuarial Exam 3L - Part 7

Section 77: Exam-Style Questions for Actuarial Exam 3L - Part 8

G. Stolyarov II is a science fiction novelist, independent philosophical essayist, poet, amateur mathematician, composer, contributor to Enter Stage Right, Le Quebecois Libre, Rebirth of Reason, and the Ludwig von Mises Institute, Senior Writer for The Liberal Institute, former weekly columnist for GrasstopsUSA.com, and Editor-in-Chief of The Rational Argumentator, a magazine championing the principles of reason, rights, and progress. Mr. Stolyarov also publishes his articles on Helium.com and Associated Content to assist the spread of rational ideas. His newest science fiction novel is Eden against the Colossus. His latest non-fiction treatise is A Rational Cosmology. His most recent play is Implied Consent. You can also view his YouTube Videos. Mr. Stolyarov can be contacted at gennadystolyarovii@yahoo.com.

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This TRA feature has been edited in accordance with TRA’s Statement of Policy.

Click here to return to the index of Free Tools for Rational Education.

Learn about Mr. Stolyarov’s novel, Eden against the Colossus, here.

Read Mr. Stolyarov’s comprehensive treatise, A Rational Cosmology, explicating such terms as the universe, matter, space, time, sound, light, life, consciousness, and volition, here.

Read Mr. Stolyarov’s four-act play, Implied Consent, a futuristic intellectual drama on the sanctity of human life, here.

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