V1U 
CONTENTS. 
PAßT II. 
Art. Page 
Probabilities and Single Premium for 'Endowment: 
103. To find the probability of a given life surviving a certain 
number of years . . . . . . .109 
10-i. To find the probability of a given life failing within a certain 
number of years . , . . . . .110 
105. To find the present value of a sum to be received at the end 
of a certain number of years, provided a given life be then 
in existence . . . . . . . ,111 
106. To find the present value of a sura to be received at the end 
of a certain number of years, provided two given lives 
jointly survive that period . . . . . .Ill 
108. To find the probability of a life failing within a given number 
of years . . . . . . . . .112 
109. To find the probability of the joint existence of two or more 
lives failing within a given number of years . . .112 
110. To find the probability of any number of lives all dying within 
a given number of years . . . . . .112 
111. To find the probability that one or more of a certain number 
of lives shall survive a given period . . . .112 
Construction of Annuity Tables: 
112. To find the present value of an annuity on a single life 
113. The mode of constructing tables of annuities on single lives 
116. Description of the columns marked D, N, M, S, and R 
117. Mode of obtaining Barrett’s formula . . . 
118. Former mode of forming tables of annuities 
120, To find the annuity which a sum of money will purchase 
113 
114 
116 
117 
118 
119 
Construction of Table of Expectations : 
122. To find the expectation of life ...... 
123. Mode of forming a table of the expectation 
124. The formula for the expectation of life after a certain number 
of years ......... 
126. To find the expectation of life for a limited number of years 
Annuity for Two Joint Lives: 
128. To find the value of an annuity on two joint lives . 
Deferred and Temporary Annuities: 
133. To find the value of a deferred annuity on a single life 
120 
121 
121 
122 
123 
Sur 
li 
For L 
187. 
188. 
189.