CONTENTS. 
Art. 
191. To find the annual premium for an assurance . 
192. Mode of constructing column M ..... 
195. To find the annual premium payable for a limited number of 
years ......... 
Deferred and Temporary Assurances: 
197. To find the single premium for a temporary assurance 
To find the same by Davies’s method .... 
To find the annual premium for a temporary assurance , 
To find the present value of a deferred assurance 
To find the annual premium ...... 
To find the single and annual premium for a deferred assur 
ance, by Davies’s Tables ...... 
Survivorship Asswances: 
213. To find the present value of an assurance on one life against 
another . . 
To find the value of a sum payable on the failure of one life 
provided another shall have failed previously . 
Fortnula by Davies’s method for one life against another 
Formula for one life against another for t years . 
To find the single premium for the assurance of £1 payable 
on the death of A, provided he die before B, or within t 
years after the death of B . . . . . . 
On successive lives ........ 
Loans secured by Assurance: 
244. To find the annuity to be required on a single life for a 
certain amount of purchase-money, so as to allow the 
purchaser a given rate of interest beside the premium 
necessary to secure his capital by a life assurance , , 
Valuation of Policies: 
252. To find the value of a policy ...... 
Increasing and Decreasing Scale of Premiums: 
257. To find the annual premium that should be required during 
the first t years, supposing the annual premium to increase 
or decrease a certain sum every t years, and at the end of 
v intervals of t years each the premium to continue con 
stant during the remainder of life ..... 
To find the value of a policy payable by increasing or decreas 
ing premiums ........ 
Increasing and Decreasing Annuities : 
2G2. To find the value of an increasing annuity certain . 
264. To find the value of an increasing life annuity . 
265. To find the value of a decreasing life annuity 
Increasing and Decreasing Assurances : 
266. To find the single and annual premium for an increasing life 
assurance , 
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184 
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189 
191 
194 
195 
196 
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202 
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VJ 
I 
XI 
XII 
XIII 
XIV 
XV 
XVI. 
XVII 
XVIII