CONTENTS 
XI 
Page 
. 156 
or of 
. 161 
163 
164 
164 
170 
170 
assur- 
170 
Art. Page 
Assurance of Sums wi inReturn of Premiums: 
267. To find the annual premium to secure a sum at the end of n 
years, should the life exist so long, or the return of all the 
premiums in case of death before that time . . . 205 
268. To find the annual premium to secure an annuity of £l to be 
entered upon at the expiration of n years, the premiums to 
be returned in case the said life should fail during the n 
years _ 206 
269. To find the.annual premium for the assurance of a given sum, 
and a return of all the premiums . . , . ,207 
Recapitulation of Formula ...... 209 
Practical Rules and Examples . . . . .221 
against 
. 172 
one life, 
payable 
within t 
174 
175 
176 
184 
186 
life for a 
allow the 
premium 
e . -I 89 
. 191 
TABLES. 
No. 
I. Table of rates of mortality at Northampton, Carlisle, the 
Equitable Assurance Office (Davies), and according to 
the observations of Des Parcieux . . . .235 
II. Comparative view of the expectation of life at different 
places ......... 236 
III. Tables from the experience of the Amicable Corporation . 238 
IV. The logarithm and its arithmetical complement of the 
number who complete each year of age, according to Ur. 
Price’s table of mortality for Northampton . . . 240 
V. Proportion that die in each year by the Northampton table 
of mortality, also the proportion that survive, and its re 
ciprocal . . . . . . . . .241 
VI. A preparatory table for finding the values of annuities, &e. 
by the Northampton table of mortality (3 per cent) . 242 
VII. The value of an annuity on a single life according to the 
Northampton table of mortality ..... 244 
.red during 
to increase 
the end of 
ontinue Con 
or decreas- 
ncreasmg 
life 
VIII. 
Value of an annuity on two joint lives (Northampton 3 per 
cent) 
t 
246 
IX. 
Value of 
a reversion of £1 on a single life (Northampton 
rate of 
mortality) ....... 
288 
' 
X. 
Logarith 
n and its arithmetical complement of the number 
194 
which completes each year of age, according to the Car 
lisle table of mortality ...... 
290 
195 
XI. 
Preparatory table for finding the values of annuities, assu 
rances, &c. (Carlisle 3 per cent) 
291 
XII. 
Ditto (Carlisle 3^ per cent) ...... 
293 
196 
XIII. 
Ditto 
(4 per cent) ...... 
295 
198 
XIV. 
Ditto 
(4j per cent) ...... 
297 
198 
XV. 
Ditto 
(5 per cent) ...... 
299 
XVI. 
Ditto 
(6 per cent) ...... 
301 
XVII. 
Ditto 
(7 per cent) 
303 
XVIII. 
Ditto 
(8, 9, and 10 per cent) ..... 
305