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El. knyga: Actuarial Models for Disability Insurance

(University of Trieste, Piazzale Europa, Italy), (City University, London, UK)
  • Formatas: 280 pages
  • Išleidimo metai: 13-Dec-2018
  • Leidėjas: CRC Press Inc
  • ISBN-13: 9781351469043
  • Formatas: 280 pages
  • Išleidimo metai: 13-Dec-2018
  • Leidėjas: CRC Press Inc
  • ISBN-13: 9781351469043

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Disability insurance, long-term care insurance, and critical illness cover are becoming increasingly important in developed countries as the problems of demographic aging come to the fore. The private sector insurance industry is providing solutions to problems resulting from these pressures and other demands of better educated and more prosperous populations. Actuarial Models for Disability Insurance examines the actuarial structure of disability insurance, long-term care insurance, and critical illness cover, including problems encountered in the design and development of such insurances. Actuarial problems such as pricing and reserving are considered within the context of multiple state modeling, providing a vigorous and sound framework for analyzing personal insurances.
Preface ix
Introduction: a history of multiple state models and the actuarial contribution to disability insurance xiii
Multiple state models xiii
Applications to insurance xvi
Multiple state models for life and other contingencies: the time-continuous approach
1(65)
States and transitions
1(2)
Benefits and premiums
3(1)
Examples
4(7)
The time-continous Markov model
11(9)
Examples
20(11)
The semi-Markov model
31(5)
Splitting of states
36(4)
Finding transition probabilities
40(5)
Increment-decrement tables
45(2)
Actuarial values of benefits
47(5)
Premiums and reserves
52(2)
Examples
54(7)
Distributions of random present values
61(4)
References and suggestions for further reading
65(1)
Multiple state models for life and other contingencies: the time-discrete approach
66(14)
The time-discrete Markov model
66(2)
Examples
68(3)
Splitting of states
71(1)
Actuarial values, premiums and reserves
72(4)
Emerging costs; profit testing
76(2)
References and suggestions for further reading
78(2)
Disability insurance
80(65)
Types of benefits
80(4)
General actuarial aspects concerning a disability annuity
84(16)
Some particular calculation procedures for disability annuities - I
100(19)
Some particular calculation procedures for disability insurance - II
119(19)
Permanent disability lump sums
138(4)
References and suggestions for further reading
142(3)
The graduation of transition intensities
145(29)
Introduction to graduation
145(1)
Crude estimates of the transition intensities
146(3)
Introduction to generalized linear models
149(4)
Graduation of transition intensities using generalized linear models
153(17)
Computational aspects of constructing a multiple state model
170(1)
References and suggestions for further reading
171(3)
Appendix: Modelling assumptions in graduation of σx
171(3)
Critical illness cover
174(12)
Types of benefits; additional benefits and acceleration benefits
174(1)
A general multiple state model; the time-continuous approach
174(7)
The time-discrete approach
181(4)
References and suggestions for further reading
185(1)
Long-term care insurance
186(29)
Types of benefits
186(2)
A general multiple state model for LTC benefits - time-continuous approach
188(2)
Multiple state models for some LTC covers
190(10)
The time-discrete approach
200(5)
Some numerical examples
205(8)
References and suggestions for further reading
213(2)
Actuarial models for AIDS
215(28)
Introduction
215(2)
Institute of Actuaries AIDS Working Party model
217(8)
Dutch AIDS model
225(2)
Walter Reed Staging Method (WRSM) model
227(2)
Haberman model and disability insurance
229(14)
Appendix
242(1)
Indexing benefits in insurance packages
243(22)
Introduction
243(1)
Linking benefits and premiums to some index - a formal statement
244(4)
Practical aspects of benefit indexing in insurance packages
248(1)
Some examples
249(6)
Some numerical examples
255(7)
References and suggestions for further reading
262(3)
Bibliography 265(10)
Index 275


S Haberman, E Pitacco