Life Contingencies

Front Cover
Cambridge University Press, Jun 9, 2011 - Business & Economics - 510 pages
Published in 1932, this is the third edition of an original 1922 volume. The 1922 volume was, in turn, created as the replacement for the Institute of Actuaries Textbook, Part Three, which was the foremost source of knowledge on the subject of life contingencies for over 35 years. Assuming a high level of mathematical knowledge on the part of the reader, it was aimed chiefly at actuarial students and those with a professional interest in the relationship between statistics and mortality. Highly organised and containing numerous mathematical formulae, this book will remain of value to anyone with an interest in risk calculation and the development of the insurance industry.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

pm
5
PM PL P7 48 49
7
1 1115
11
Examples 1718
17
MORTALITY TABLES CONSTRUCTED FROM LIFE ASSURANCE
19
Select Tables 2125
25
Pages 3159
31
Annuities deferred a fraction of payment period 1 l 1a ll 81171 3738
40
PART II
221
Expressions for probability that
223
Probabilities involving two lives cont
227
pmw___ 229230
229
Probabilities involving two lives
238
Value of Qivzdm and Qa1m_m under Gompertzs Lav
247
JointLife Commutation Functions on the basis of Select Tables
255
Substitution of a single life under Makehams Law with a change
261

fi Pm PQ 4648
46
Table of Expressions for Single Premiums for SingleLife Assurances
50
Pages 6067
60
WholeLife and Temporary Annuity Values in terms of P and d 6667
66
Increasing Assurance in terms of ordinary Assurances 0 0 72
72
Guaranteed Bonus Policies
78
Assurances with Return of Premiums 0 r
88
V
96
Pure Endowment Policy Values
102
Alternative formulae for Endowment Assurance policy value 111112
111
Alterations of Policies 119123
119
Practical Value for ag
129
Premiums payable m times a year 135139
135
Limited Payment Policies
148
Difierential Coefiicient of A
157
LIFE OFFICE VALUATIONS
172
Gross Premium Valuation
180
Eifect on WholeLife policy values of variations in the Rate of Interest
188
Makehams Law of Mortality cont
193
Makehams Second Development of Gompertzs Law
199
Value of A
203
3 and e 205206
205
Value of n in terms of complete expectation of life
212
lag 267268
267
Examples 273276
273
J ointLife Assurances 277279
277
Policy Values for J ointLife Assurances 283284
283
5
289
A1
299
Contingent Assurances under Gompertzs Law
305
Contingent Assurance payable on death of x if he die third of four
311
Values of Contingent Assurance Policies 317318
317
Annuity to x after y payable m times a year 322326
322
a a etc 328329
328
Evaluation of i455o by approximate integration
335
COMPOUND SURVIVORSHIP ANNUITIES AND ASSURANCES
341
Compound Survivorship Assurances 347 349
347
Evaluation by approximate integration of an annuity the integral
350
Pages 357380
357
Tables of Commutation Functions 363367
363
Conclusions drawn from foregoing examples
369
Table of Single Premiums for WholeLife Assurances
375
Pages 381394
381
Value of an assurance of 1 payable immediately on death in the service
388
Marriage and Mortality cont
391
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information