Preface 1 Interest and Annuity-Certain 1.1 Introduction 1.2 Interest 1.2.1 Simple Interest 1.2.2 Compound Interest 1.2.3 Interest Convertible m-thly 1.2.4 Force cf Interest 1.2.5 Relationship among Interest Rates 1.2.6 The Accumulation Factor 1.2.7 The Discount Factor 1.3 Annuities-Certain 1.3.1 Annual Annuities-Certain 1.3.2 Continuous Annuities-Certain 1.3.3 m-thly Annuities-Certain 1.3.4 Accumulated Values of Annuities-Certain at Time n 1.4 Summary 1.5 Exercise 2 Individual Future Lifetime 2.1 Introduction 2.2 A Newborn's Future Lifetime X 2.3 Future Lifetime of (x) 2.3.1 Relationship Between Probability Functions of X and T(x) 2.3.2 Curtate-Future-Lifetime of (x) 2.3.3 Conditional Average Death Time 2.3.4 Central Force of Mortality 2.4 Life Table 2.4.1 Aggregate Life Table 2.4.2 Select-and-Ultimate Life Table 2.5 Summary 2.6 Exercise 3 Life Insurance 3.1 Introduction 3.2 Continuous Life Insurance 3.2.1 Level Life Insurance 3.2.2 A General Continuous Life Insurance 3.3 Discrete Life Insurance 3.3.1 Level Life Insurance 3.3.2 A General Discrete Life Insurance 3.3.3 Commutation Functions 3.4 m-thly Life Insurance 3.5 Endowment Insurance 3.6 Summary 3.7 Exercise 4 Life Annuities 4.1 Introduction 4.2 Continuous Life Annuities 4.2.1 Level Life Annuities 4.2.2 Varying Continuous Life Annuities 4.3 Annual Life Annuities
4.3.1 Level Annual Life Annuities 4.3.2 Varying Annual Life Annuities 4.3.3 Commutation Functions 4.4 Special Life Annuities 4.4.1 m-thly Life Annuities 4.4.2 n-Year-Certain-and-Life Annuities 4.4.3 Apportionable Annuities-Due 4.4.4 Complete Annuities-immediate 4.5 Summary 4.6 Exercise 5 Insurance Premiums 5.1 Introduction 5.2 Insurance Pricing Prin……