3. The jewel called the "Reliquary," of the 15th century.

To these riches must be added the following interesting objects: the Dey

of Algiers' watch; the Elephant of Denmark; the decorations, etc., of

foreign orders; crowns and diadems of sapphire; rubies; pearls that afford

curious specimens of French art at the beginning of our century; one of

the Mazarins bequeathed by the celebrated Cardinal; and lots of colored

stones destined for our national museums.

The same exhibition alluded to above contains a number of other

collections of great interest that it would be unjust to pass over in

silence, such as the exhibit of the French diamond mines of the Cape,

where one may see all the details of this prosperous exploitation by means

of photographs and specimens. The art bronzes, the objects of jewelry, of

goldsmith's work, and of morocco work, the music boxes, Trouve's and

Aboilard's electric jewelry, and the retrospective art collections

especially attracted the attention of the public.--_La Nature._

* * * * *

A NEW MODE OF TESTING THE ECONOMY OF THE EXPENSES OF MANAGEMENT IN

LIFE INSURANCE.

How to determine the general ratios of the expenses of management of life

insurance companies has hitherto been an unsettled question, and I think

no serious attempt has been made before my own to study this question

exhaustively, and reach a scientific conclusion.

Believing that, one is contained in the following statement, I

respectfully submit it to the criticism of others.

It has generally been taken for granted that the measure of economy of

life insurance expenses may be expressed by the single ratio of expenses

to one feature of the business, such as the premium income, or the total

income (premium and interest), or the mean amount of all policies

outstanding. But this is not the case. No exhaustive reason has been shown

for preferring one of these bases of ratio to another, and, indeed, no

reason well supported by argument has been shown for employing either. On

the other hand, no better evidence is needed of the importance of

establishing a uniform and demonstrably sound basis, than the fact that it

is common for companies to refute one another's claims to superior

economy, and totally confuse the public, by opposing ratios found in one

way by ratios found in another--that one of two companies which appears

the most economical according to one test being apparently the least so

according to another.

The economy of the expense of any transaction, or work, can only be

intelligently judged by the value of the _result_. This truth is too well

recognized to need illustration, and it only needs to be called to mind,

to perceive both the error of ratios of expense based on premium, which is

not the result but the _raw material_, so to speak, of insurance

transactions; and what, on the contrary, the true basis is.

It is thus clear that in insurance the economy of expense must be judged,

not by comparison with the premiums paid, but by comparison specifically

with the resulting advantages in fact secured by such payments. Now these

are of two kinds: which may be called the _insurance advantage_ and the

_investment advantage_.

(1) Each death claim paid is an insurance advantage, though it is so only

to the extent of the excess of the amount of the policy which has become a

claim over its premium reserve, or value, for the latter being the balance

(with interest) of the policy holder's own premium money, could have been

left or secured to his representatives without the intervention of the

policy and company.

It is true that the advantage or benefit of insurance does not consist in

adding anything to the wealth of a company, but only consists in drawing

from the premiums paid into its treasury by the policy holders generally,

to meet each death claim which arises; or can only be called an _advantage

of distribution_, or process of collecting aid from the living members, to

assist the representatives or dependents of the deceased ones; but it is

not the less on this account an advantage worth _same expense_ in

securing.

(2) Interest realized by the investment of premium while it is in the

keeping of a company is an advantage; in every sense so, since it comes

wholly from outside sources, and accrues proportionally to all members; it

may be called, as above, the investment advantage, and of course justifies

some _expense_ to secure it.

Hence the expenses incurred by any company in a given; time must be

divided into two parts, one being the expense incidental to insurance, and

the other that incidental to investment, which parts are to be compared

respectively with the insurance claims met, and interest receipts of the

company for the same time; or what is equivalent in the latter case, the

net rate of interest earned after deducting the incidental investment

expense may be found.

When this process shows that one company has earned a higher rate of

interest than another, at the same time that its insurance expenses bear a

lower ratio to its insurance claims paid, _there is no escape from the

conclusion that during the period under observation it has served its

policy-holders more economically_, and the test is therefore scientific.

Though, if one company shows a higher rate of interest, while the other

shows a lower ratio of insurance expense, it will still be necessary, to

complete the test, to equate either the rates of interest or the ratios of

insurance expense (it does not practically matter which), and note how

this affects the relation of the duly corrected ratios on the other score.

To be exact, if the average vitality of the members of the two companies

differ (other things being equal, it is always cheapest to belong to that

company which has the lowest death rate), the ratios of insurance expense

to expected, as well as actual, claims of each must be found, and equated.

The science of this procedure, or mode of testing expenses, and also its

practical simplicity, may be more clearly perceived by reference to its

practical application in the following table:

_Table Exhibiting Ratio of Expense, Determined by the New Mode, of Companies

Doing Business in Massachusetts during the Year 1883._

___________________________________________________________________________________________________________________

| | | | | | | | |

| | | | | |Expense | | |Net Rate

| | | | | |per $100 | | | of

| | | | | |of claims| | |interest

| | Death |Estimated |Difference |Expense |paid. | Interest | Expense | earned.

Name of Company. |Loca-| claims |Premiums. | or Net | on the |---------| Receipts. | on the |--------

|tion.| paid. | Reserve |Insurance |score of | R | R | | score of | R | R

| | | thereon. |furnished. |Insurance. | a | a | |investment.| a | a

| | | | | | t | n | | | t | n

| | | | | | e. | k.| | | e. | k.

-------------------+-----+-----------+----------+-----------+-----------+-----+---+-----------+-----------|----|---

Berkshire |Mass.| $208,147| $46,605| $161,524| $122,779| 75.4| 14| $194,067| $15,809|5.25| 16

[1]John Hancock | " | 169,604| 25,117| 144,487| [8]228,566|158.2| 24| 135,597| 11,686|3.65| 26

Mass. Mutual | " | 426,995| 86,215| 340,780| 232,400| 68.2| 10| 428,255| 33,176|6.03| 7

N. England Mutual | " | 1,039,694| 235,630| 804,064| 311,879| 38.8| 3| 995,883| 69,908|6.40| 4

State Mutual | " | 121,969| 22,493| 99,476| 98,839| 99.4| 19| 143,751| 13,057|4.51| 24

Ætna |Conn.| 1,302,807| 364,510| 938,297| 460,014| 49.0| 6| 1,760,372| 118,962|6.22| 5

Connecticut General| " | 87,639| 15,624| 72,015| 46,113| 64.0| 9| 95,580| 5,407|7.03| 1

" Mutual | " | 2,867,489| 881,600| 1,985,889| 622,941| 31.4| 1| 3,041,125| 238,944|5.70| 10

Equitable | N.Y.| 3,072,232| 483,950| 2,588,282| 1,884,108| 72.8| 12| 2,743,024| 216,725|5.42| 12

Germania | " | 606,072| 149,950| 456,122| 325,662| 71.4| 11| 508,702| 47,193|4.85| 22

Home | " | 205,921| 48,603| 157,318| 155,192| 98.6| 18| 260,506| 19,917|4.86| 21

Homoeopathic | " | 35,610| 6,340| 29,270| 48,734|166.5| 25| 42,814| 2,935|6.20| 6

Manhattan | " | 687,171| 183,450| 503,721| 266,305| 44.9| 5| 627,628| 44,081|5.82| 8

[7]Metropolitan | " | 638,639| 18,322| 620,317| 1,161,893|187.3| 26| 106,916| 9,098|4.90| 20

Mutual Life | " | 5,172,275| 1,407,700| 3,764,575| 1,480,198| 39.3| 4| 5,042,964| 466,739|5.01| 19

Mutual Benefit | N.J.| 2,160,991| 550,890| 1,610,101| 521,829| 32.4| 2| 2,072,629| 169,913|5.61| 11

National | Vt. | 174,767| 29,127| 145,640| 77,861| 53.5| 7| 149,010| 10,100|5.26| 15

New York Life | N.Y.| 2,408,636| 574,150| 1,834,484| 1,995,102|108.8| 21| 2,676,592| 236,884|5.03| 18

Northwest'n Mutual | Wis.| 990,692| 190,500| 800,192| 630,582| 78.8| 15| 1,200,001| 88,527|5.80| 9

Penn. Mutual |Penn.| 601,625| 107,600| 494,025| 309,858| 62.7| 8| 463,567| 37,131|5.38| 13

Provident Life and | | | | | | | | | | |

Trust | " | 280,817| 49,865| 230,952| 222,665| 96.4| 17| 340,115| 33,294|4.26| 25

Provident Savings | N.Y.| 24,875| 1,828| 23,047| 51,608|233.9| 27| 4,955| 2,579|1.70| 27

Travelers' |Conn.| 235,001| 42,243| 192,758| 144,621| 75.0| 13| 331,623| 22,476|6.42| 3

Union Mutual |Maine| 377,547| 88,520| 289,027| 237,913| 82.3| 16| 301,499| 28,754|4.66| 23

United States | N.Y.| 283,304| 69,245| 214,059| 277,919|129.8| 23| 271,594| 23,460|5.09| 17

Vermont | Vt. | 13,000| 1,542| 11,458| 13,613|118.8| 22| 12,917| 822|5.33| 14

Washington | N.Y.| 356,289| 71,820| 284,469| 289,461|101.8| 20| 446,998| 32,249|6.78| 2

| | | | | | | | | | |

+-----+-----------+----------+-----------+-----------+-----+---+-----------+-----------+----+---

Totals | |$24,549,808|$5,753,439|$18,796,369|$12,177,655| 64.8| |$24,398,684| $1,999,826|5.42|

_Collective Business of Assessment Societies Doing Business in the State (excepting Secret Societies_).

46 Societies | | $735,383| | | $237,770| 32.3| | | | |

-------------------------------------------------------------------------------------------------------------------

[Footnote 7: Including industrial business.]

[Footnote 8: Includes $18.867 depreciation.]

The figures given in this table are drawn from the last annual report of

the Insurance Commissioner of Massachusetts, excepting the premium reserve

on death claims, which, as well as the division of the total expenses of

each company into insurance and investment expenses, I have estimated on a

uniform rule. This was for lack of the actual data in these particulars,

which the report did not give, as it is desirable that future ones may.

This, however, does not injure the value of the table for illustrating the

mode of procedure, for which purpose mainly it is presented. The companies

whose figures I have used, moreover, have no occasion to complain of this,

as my estimate certainly gives all ratios of insurance expense lower than

they would appear if I had known, and used, the exact actual premium

reserve on death claims, and all probably bear nearly the same ratio to

each other as they would in that case.

As the object of this statement is to explain the new method, and not to

defend my particular estimates in applying it, I forbear to state on what

rules I have made them. Expense which is not ascribed to insurance must be

ascribed to investment, and as in comparing any two companies, their two

ratios of one kind or the other must be equated, to decide the question of

economy between them, it may well be left to any company to say what the

fair division of its own expenses is.

Moreover, there can be but little motive to make a false division; for to

successfully compete for business, a company having large investments has

as much need to show a high net rate of interest earned as a low rate of

insurance expense. Again, it is not my purpose to pass judgment on the

economy or extravagance of any ratio of expense shown in the table. It is

not a fact exhibited for the first time by my figures, that the ratios of

some companies are more than double those of others. The same fact would

be displayed in about as high a degree by ratios based on premium income,

or any other incorrect basis. Custom, the balance of opinions, and

competition may well be left to decide what ratios of expense are high,

and what are average, or low. And their decision is to be gathered only

from _statistics_.

What I do claim is that the mode of determining ratios herein explained is

the only intelligible and scientific one, and the only one proper to

employ in _statistical tabulations_ and _investigations_.

As such, it calls attention to the fact that the amount of insurance

claims met, and of interest receipts, _are limits_ which the corresponding

expenses cannot exceed, certainly for a series of years together, without

making the _expense_ more than the _advantage_ of the business. To keep

this fact in view, _as a preventive of extravagance_, is not the least

valuable service the new mode may render. It may be seen that there are

eight cases in the table, in which the ratio of insurance expense points

to expenses exceeding the insurance claims met in the same time, yet the

reader need not hasten to conclude that the same companies will

permanently show similar ratios, or have no good reasons to give for the

ones which now appear. I may remark, however, that it is an evidence of

the scientific mode in which the figures are presented, that it

facilitates such explanations as are pertinent of any of the ratios.

For instance, some of the ratios are undoubtedly affected by the fact that

the claims for the year of the company in question have been exceptionally

high or low, or that the company (being of recent organization perhaps)

has just incurred exceptional expense to increase its business, the

advantage of which will appear later, etc. But I leave to the companies

themselves to show to what extent such circumstances have affected their

ratios; except that, in regard to the several net rates of interest

earned, it is proper to say that in all cases in which they considerably

exceed the average of 5.42 per cent. it will be found, by referring to the

details of interest receipts reported to the Commissioner, that the excess

is owing to the fact of exceptional profits by the sale of stocks, or

recovery on investments previously reckoned as loss.

Scientific American Supplement, No. 455, September 20, 1884 · 第 42 / 48 题