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The American Term Life Insurance History Project
About the Project
Actuarial and Statistical
Insurance Agent Items
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Upcoming Books
Copyright Information
Mathematics of Life Insurance
Mathematics of Life Insurance
L. Wayland Dowling
First Edition, 1925
Cover and front page
PDF
Preface
PDF
Table of Contents
PDF
Chapter I
Introduction
Compound Interest
Present Value
Annuities
Present Value of a Term Annuity
Alternative Proofs
Present Value of an Annuity-due
General Remark
Factorials
Independent Events
Arrangements or Permutations
Combinations or Groups
Binomial Coefficients
PDF
Chapter II
Theory of Probability
Fundamental Principles
Bernoulli's Theorem
Compound Probability
Total Probability
Repeated Trials
Expectation in
n
trials
PDF
Chapter III
The Mortality Table
Definition
The Life Curve
Probability of Living or Dying
Population
Central Death Rate
Expectation of Life
Probable Lifetime
Mathematical Expectation
Biometric Functions
PDF
Chapter IV
Contingent Functions Endowments and Annuities
Pure Endowments
Commutation Symbols
Contingent Annuities
Intercepted Annuities
PDF
Chapter V
Contingent Functions
Life Insurance Policies. Net Premiums
Whole Life Insurance. Net Single Premium
Intercepted Insurance. Net Single Premium
Sufficiency Test for Net Single Premium
Whole Life Insurance. Net Annual Premium
Limited-payment Polices
Intercepted Insurance. Net Annual Premium
Sufficiency Test for Annual Premium
Endowment Insurance
Annuities Payable Oftener than Once a Year
Premiums Payable Oftener than Once a Year
PDF
Chapter VI
Valuation of Policies
General Methods for Finding Policy Values
Prospective Method
Retrospective Method
Equivalence of Prospective and Retrospective Methods
Accounting or Accumulation Method
Fackler Valuation Symbols
Cost of Insurance
Cost in Terms of Premium
Valuation in Terms of Cost
Preliminary Term Valuation
Modified Preliminary Term Valuation
PDF
Chapter VII
Policy Options. Loading. Surplus
Options
Surrender Value
Paid-up Insurance
Extension of Insurance
Loading
Surplus
PDF
Chapter VIII
Increasing Insurances
Increasing Insurance
Intercepted Increase Insurance
Return-premium Policies
PDF
Chapter IX
Joint Contingent Functions
Part I. Theoretical Development
Joint Contingent Functions
Joint Endowments
Each Person's Share of the Present Value of a Survivor Endowment
Joint Annuities
Joint Annuities-due
Joint Insurance
Instalment Insurances
PDF
Joint Contingent Functions
Part II Numerical Computation
Joint Endowments
Commutation Symbols for Two or More Lives
Force of Mortality
Equal Age
Law of Uniform Seniority
A Mahehamized Table of Mortality
Probability of Living
Commutation Symbols Continued
PDF
Conclusion
General Remarks
Stirling's Formula
Probability of Expectation
Deviation
Probability of Deviation
Probability of Deviation Lying Between Given Limits
Probable Deviation
Mean Deviation
Standard Deviation
Recapitulation
PDF
Tables
I. Compound Amount of 1 and Present Value of 1 at 3 1/2%
American Experience Table of Mortality
Commutation Columns and Valuation Symbols, American Experience Table at 3 1/2%
Hunter's Makehamized American Experience Table. Commutation Columns at 3 1/2%
PDF
Index
PDF
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