## The Doctrine of Annuities and Reversions, Deduced from General and Evident Principles: With Useful Tables, Showing the Values of Single and Joint Lives, &c., at Different Rates of Interest. To which is Added a Method of Investigating the Value of Annuities by Approximation, Without the Help of Tables. The Whole Explain'd in a Plain and Simple Manner and Illustrated by Great Variety of Examples |

### What people are saying - Write a review

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

### Other editions - View all

The Doctrine of Annuities and Reversions, Deduced From General and Evident ... Thomas Simpson No preview available - 2017 |

### Common terms and phrases

A M P L E A M P L E of CAs againſt alſo annuity anſwering ariſing bability becauſe C O R O L L A R Y caſe cent conſidered correſponding deceaſe E X A M P L E X A M P L E equal eſtate exceſs expreſſes find the value given age greateſt hypotheſis increaſed laſt leaſt leſs longeſt manifeſt multiply'd muſt nuity number of joint number of lives number of perſons P R O B L E M poſed poſſeſſion preſent value Prob produćt propoſitions Purch rate of intereſt reaſoning receive the ſum repreſent reſerved reſpectively reverſion S O L U T I O ſaid ſame ſecond ſeries ſeveral ſhall ſhewing ſince ſome ſquare ſuch ſuppoſed ſurviving table of obſervations theſe thoſe three joint lives three lives uſe Valuation of Annuities value required whoſe ages year's purchaſe Year’s youngeſt

### Popular passages

Page 112 - To find the present value of a given amount to be received at the end. of any number of years not exceeding...

Page 114 - The present value of an annuity of one pound for any number of years not exceeding 100.

Page 6 - ... only 93 of them arrive to the age of 66 : therefore, feeing the whole number of perfons living at the beginning of this term, is to the number remaining alive at the end of it, in the ratio of 331 to 93 ; the number of chances that a perfon of 36 years of age has to live 30 years longer, will be to the number of all the chances...

Page 2 - ... to the whole number of inhabitants ; and therefore the probabilities of life,, for all ages above 25 years, the fame as this author has made them ; but then have increafed the numbers of the living...

Page 2 - a place where the generality of the people live to a " greater age than at London (as appears by comparing the Bills " of Mortality here with those observations) can be no just " measure of the probability of Life in this place

Page 7 - ... 89.65, will be the true value of the fecond year's rent. And by a like way of proceeding, the values of the 3d, 4th, 5th, &c.

Page 128 - I apprehend could only be owing to a want of obfervations ; becaufe, if we fuppofe as many perfons to live, at any one time...

Page v - Lastly, arc laid down some easy practical rules for approximating the values of lives without the help of tables. What. I apprehend, may best recommend this performance, is the general, yet familiar manner in which the subject is treated : there not being a solution throughout the whole work, except those relating to the use of tables, that is not universal according to any table or obs. or degree of prob. of life whatsoever; and yet...

Page 7 - ... 96.15, in order to make a juft deduction out of it, for the contingency of his dying before the end of one year, ought to be...

Page 3 - Only, that are born within the bills. Which was done, by comparing together the number of chriftenings and burials, and obferving, by help of Dr.