XXXVI

ECONOMICAL ESTABLISHMENTS. PROGRESSIVE ANNUITY FUND.

SOCIETY FOR THE ENCOURAGEMENT OF NATIONAL INDUSTRY

A plan is in preparation for the establishment of an annuity fund.

It is to be named _Caisse des Placemens en Viager_. It is to be

established at 440 Rue Saint Méry and 435 Rue du Renard Saint Méry. Its

motto is _surety, stability, simplicity_. Those who hold shares are to

enjoy a progressive annuity. This annuity is paid according to their

ages, and not to their shares; hence all the holders of shares who have

attained any particular age receive the same rate of interest whatever

may have been the price of their shares. The _minimum_ of rate for the

first age is six livres per share, and is assigned to the first class

only; the primitive rate of the subsequent classes rises gradually to

the twelfth, which comprehends the holders of shares who have attained

their sixtieth year. By reckoning from the rate assigned to the first

class, the annuity increases at fixed epochs, and rises by thirty-five

gradations to the maximum of 5000 livres, which belongs to all the

classes, and is paid to all holders of shares who have attained

the age to which this last term of the progression relates. All the

intermediate terms determine equally what is to be paid, without any

distinction to the holders of shares in each class, in proportion as

they arrive at the different ages which correspond to each rate of

annuity. Those holders are divided into twelve classes, and each class

into twelve series, each of which has a separate and distinct account.

At first view this plan seems to resemble a Tontine, but it is a very

different thing. A Tontine divides annually amongst the survivors the

shares of those deceased, but in this fund the probabilities of human

life have been calculated, and by making them agree with the decrease

of the capital invested, which together with their interest serve to

augment the annuities, the movement of the funds and the death of the

holder of shares are so combined that every holder knows at any given

point the benefits he will derive at the different periods of his life.

The principle of the establishment consists “in an equality of

annuities, payable to the same ages, whatever may have been the time

of investment of the share, combined with an equality in the number of

survivors among such holders of shares as have attained the same age,

whatever may have been the time of becoming such.”

The holders have been distributed into twelve classes, the first of

which has been fixed at 3200. It comprises only such individuals as are

under a year old, and serves as a regulation of the decreasing numbers

of each subsequent class. Thus the numbers decreasing of the shares in

each class are as follows:

First 3200

Second 2400

Third 2242

Fourth 2102

Fifth 1940

Sixth 1792

Seventh 1648

Eighth 1438

Ninth 1200

Tenth 1020

Eleventh 838

Twelfth 656

[Sidenote: RENTE VIAGÈRE]

In order to make the annuities equal for all ages it has been

necessary only to reproduce in each class, at the age wherein each of

the subsequent classes are introduced, an operation which consists

simply in dividing this capital, the same for all the classes which

have attained the same ages, by the number of shares in the class in

question, which number is the same as that to which all former classes

are reduced.

The twelve classes comprise from one year to sixty-five years; each

class contains different periods of five, six, or seven years; all the

individuals comprehended under these periods are considered as being of

the same age, and paid as such until the extinction of the amount to

which they belong. The total number of shares cannot exceed 245,712,

and the prices of shares in the respective classes are thus regulated:

France in eighteen hundred and two · 第 71 / 173 题