Actuarial Principles: Lifetables and Mortality Models explores the core of actuarial science: the study of mortality and other risks and applications. Including the CT4 and CT5 UK courses, but applicable to a global audience, this work lightly covers the mathematical and theoretical background of the subject to focus on real life practice. It offers a brief history of the field, why actuarial notation has become universal, and how theory can be applied to many situations. Uniquely covering both life contingency risks and survival models, the text provides numerous exercises (and their solutions), along with complete self-contained real-world assignments.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. Chapter One. Lifetables and their applications - p. 1 7. Chapter Two. Lifetables and the principle of equivalence - p. 3 8. Chapter Three. Modelling mortality - p. 5 9. Chapter Four. Basic types of benefit (CT5: §1, §2, §3.4, §4) - p. 9 10. Chapter Five. Annuities payable frequently – a simpler approach - p. 21 11. Chapter Six. Benefits in continuous time (CT5: §1.8, 2.8) - p. 23 12. Chapter Seven. Select mortality (CT5: §3.6) - p. 29 13. Chapter Eight. Benefits involving multiple lives (CT5: §8, §9) - p. 33 14. Chapter Nine. The last survivor status - p. 37 15. Chapter Ten. Pricing and reserving in theory (CT5: §5) - p. 43 16. Chapter Eleven. Pricing in practice (CT5: §6, §7) - p. 55 17. Chapter Twelve. Multiple decrement models (CT5: §10.2, §13) - p. 61 18. Chapter Thirteen. Defined benefit superannuation (CT5: §14) - p. 67 19. Chapter Fourteen. Life insurance modelling (CT5: §10; §11) - p. 75 20. Chapter Fifteen. Profit signature - p. 77 21. Chapter Sixteen. Multiple decrements and multiple states (CT5: §10) - p. 85 22. Chapter Seventeen. More complex benefits on multiple lives (CT5: §9) - p. 95 23. Chapter Eighteen. Risk factors in mortality - p. 103 24. Chapter Nineteen. Types of life tables - p. 107 25. Chapter Twenty. Constructing a life table - p. 115 26. Chapter Twenty-One. Maximum likelihood estimation - p. 117 27. Chapter Twenty-Two. Binomial and Poisson models (CT4: §10) - p. 123 28. Chapter Twenty-Three. The Poisson model - p. 129 29. Chapter Twenty-Four. The Kaplan–Meier estimator (CT4: §8) - p. 131 30. Chapter Twenty-Five. The Cox regression model (CT4: §9) - p. 141 31. Chapter Twenty-Six. Graduation - p. 149 32. Chapter Twenty-Seven. Graduation techniques (CT4: §12) - p. 153 33. Chapter Twenty-Eight. Methods of estimation of the parameters - p. 159 34. Chapter Twenty-Nine. Assessing a graduation (CT4: §13) - p. 165 35. Chapter Thirty. Summary: estimation and graduation - p. 171 36. Chapter Thirty-One. Experience rating and Markov processes - p. 175 37. Appendix A. International actuarial notation - p. 183 38. Appendix B. Useful mathematical techniques - p. 187 39. Appendix C. Exercises for Section 1.9 – defined benefits - p. 193 40. Appendix D. Sample exams - p. 201 41. Bibliography - p. 244 42. Index - p. 247
Actuarial Principles: Lifetables and Mortality Models explores the core of actuarial science: the study of mortality and other risks and applications. Including the CT4 and CT5 UK courses, but applicable to a global audience, this work lightly covers the mathematical and theoretical background of the subject to focus on real life practice. It offers a brief history of the field, why actuarial notation has become universal, and how theory can be applied to many situations. Uniquely covering both life contingency risks and survival models, the text provides numerous exercises (and their solutions), along with complete self-contained real-world assignments.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. Chapter One. Lifetables and their applications - p. 1 7. Chapter Two. Lifetables and the principle of equivalence - p. 3 8. Chapter Three. Modelling mortality - p. 5 9. Chapter Four. Basic types of benefit (CT5: §1, §2, §3.4, §4) - p. 9 10. Chapter Five. Annuities payable frequently – a simpler approach - p. 21 11. Chapter Six. Benefits in continuous time (CT5: §1.8, 2.8) - p. 23 12. Chapter Seven. Select mortality (CT5: §3.6) - p. 29 13. Chapter Eight. Benefits involving multiple lives (CT5: §8, §9) - p. 33 14. Chapter Nine. The last survivor status - p. 37 15. Chapter Ten. Pricing and reserving in theory (CT5: §5) - p. 43 16. Chapter Eleven. Pricing in practice (CT5: §6, §7) - p. 55 17. Chapter Twelve. Multiple decrement models (CT5: §10.2, §13) - p. 61 18. Chapter Thirteen. Defined benefit superannuation (CT5: §14) - p. 67 19. Chapter Fourteen. Life insurance modelling (CT5: §10; §11) - p. 75 20. Chapter Fifteen. Profit signature - p. 77 21. Chapter Sixteen. Multiple decrements and multiple states (CT5: §10) - p. 85 22. Chapter Seventeen. More complex benefits on multiple lives (CT5: §9) - p. 95 23. Chapter Eighteen. Risk factors in mortality - p. 103 24. Chapter Nineteen. Types of life tables - p. 107 25. Chapter Twenty. Constructing a life table - p. 115 26. Chapter Twenty-One. Maximum likelihood estimation - p. 117 27. Chapter Twenty-Two. Binomial and Poisson models (CT4: §10) - p. 123 28. Chapter Twenty-Three. The Poisson model - p. 129 29. Chapter Twenty-Four. The Kaplan–Meier estimator (CT4: §8) - p. 131 30. Chapter Twenty-Five. The Cox regression model (CT4: §9) - p. 141 31. Chapter Twenty-Six. Graduation - p. 149 32. Chapter Twenty-Seven. Graduation techniques (CT4: §12) - p. 153 33. Chapter Twenty-Eight. Methods of estimation of the parameters - p. 159 34. Chapter Twenty-Nine. Assessing a graduation (CT4: §13) - p. 165 35. Chapter Thirty. Summary: estimation and graduation - p. 171 36. Chapter Thirty-One. Experience rating and Markov processes - p. 175 37. Appendix A. International actuarial notation - p. 183 38. Appendix B. Useful mathematical techniques - p. 187 39. Appendix C. Exercises for Section 1.9 – defined benefits - p. 193 40. Appendix D. Sample exams - p. 201 41. Bibliography - p. 244 42. Index - p. 247
