THE EXPENSE MARGIN IN LIFE INSURANCE.

The principle of mutuality requires that the burden of expense in life

insurance should be borne by all the members equally; but, even with

the most careful adjustment, the allowance usually made is

considerably in excess of what is needed in the regular companies

doing business on the "level premium" plan.

It is customary in these companies to add to the net premium a

percentage thereof to cover the expense account. This practice, though

in harmony with the "commission system," is so clearly defective and

so far removed from the spirit of life insurance mathematics, that it

scarcely deserves even this passing notice.

It is generally understood that these corporations combine the

functions of the savings bank and life insurance company, and it is

only by separating the two in our minds as far as possible that we can

obtain a clear conception of the laws that should govern the

apportionment of the expenses among the great variety of policies.

While it is a comparatively simple matter to state the amount of

either the insurance or savings bank element in a single policy, it is

by no means easy, as things go, to classify the company's actual

expenses on this basis.

Fortunately, we can pretty accurately determine what these amounts

should be in any particular case.

In the first place, there are institutions in our midst devoted solely

to receiving and conserving small sums of money; doing, in fact,

exactly what our insurance companies are undertaking to do with the

reserve and contributions thereto. These savings banks are required by

law to make returns to the State commissioner, from whose official

report we can get a very good idea of the expense attendant on doing

this business.

Confining ourselves to the city banks, where the conditions more

nearly resemble those of the insurance companies, we find in

thirty-eight combined institutions for saving in the State of

Massachusetts a deposit in 1888 of $192,174,566, taken care of at an

aggregate cost of $455,387, or about 24-100 of one per cent.

The same ratio carried out for all the savings banks in Massachusetts

gives a trifle over 25-100 of one per cent.; we may, therefore,

consider ¼ of one per cent. as expressing pretty nearly the cost of

receiving, paying out, and investing the savings of the people.

We must remember in this connection that in the popular estimation,

the savings bank is an important factor in the public welfare, and in

the towns and smaller cities there are often found public spirited men

willing to give their services to encourage this mode of saving; but

public sentiment has not yet given to life insurance the place which

it is destined, sooner or later, to occupy by the side of the savings

bank. Hence the services of able managers can only be obtained by a

liberal outlay of the corporate funds. A satisfactory adjustment of

the matter of expenses will, perhaps, do more than anything else to

bring about this recognition on the part of the public.

In the case of the savings bank it is safe to say that for double the

present outlay a liberal salary could be paid to all the officers.

Following the analogy, we are led to infer that if this be the case in

savings banks, then ½ of one per cent. of the reserve should be an

ample allowance for the special labor required in the purely banking

portion of the business.

In this we have the concurrence of the late Elizur Wright. In an essay

on this subject he says:

"The expenses of the five largest savings banks in Boston, in

1869, did not exceed 4-10 of one per cent. on $28,000,000

deposited in them. They certainly had twice as many transactions,

in proportion to the deposits, as any life insurance company could

have with the same amount of reserve, so that ½ of one per cent.

on the reserve seems to be ample for all working expenses save

those of maintaining the agencies and collecting the premiums."

This need hardly be looked upon as an admission that it costs twice as

much to care for the funds of a life insurance company as for those of

a savings bank. A liberal expense allowance must be made at the

outset, seeing that an error in this particular cannot easily be

rectified after the policy is issued. The dividend, or, to speak more

correctly, the annual return of surplus, will correct any overpayment

on this account.

There is another expense which seems inevitable. This is the

government tax on insurance companies, amounting in the aggregate to

nearly 1/3 of one per cent. on the reserve.

When we consider that these institutions are intended to encourage

thrift and to relieve the community from the care of numberless widows

and orphans, it seems a clear violation of the principles of political

economy to levy a tax on this business; still, whatever our opinion

may be as to the justice or injustice of the imposition, the tax is

maintained and must be provided for. Consequently a further allowance

of ½ of one per cent. must be added to the net premium to cover the

same, making a total of 1 per cent. of the reserve for banking

expenses and taxes. Considering this point as settled for the time

being, let us proceed to investigate the insurance expenses.

Here, again, we are fortunate in being able to refer to the official

reports of a class of corporations doing nearly, if not quite pure

insurance.

The assessment societies, outside of the fraternal and benevolent,

reporting in 1889 to the insurance commissioner of Massachusetts, show

outstanding risks amounting to $733,515,366. Losses to the amount of

$7,270,238 were paid during the year at a cost for transacting the

business of $2,403,053, which includes among other items "agency

expenses and commissions," which amount to about $1,203,000, or 17 per

cent. of the cost value of the insurance actually done. It would seem

as if an allowance of 20 per cent. would be a liberal one in the case

of the regular companies, which surely have as good facilities for

doing business as the assessment societies.

As far as insurance is concerned, there is less difference between

regular and co-operative companies than is generally supposed. Regular

companies assess each policy in advance for a year's insurance at a

time, while co-operative societies furnish insurance only from one

assessment to another. The difficulty in the way of collecting the

assessment in the latter case would seem to be greater than in the

former, owing to the more permanent nature of the regular insurance

contract.

In compensating agents the assessment companies naturally pay in

proportion to the insurance obtained, inasmuch as there is no other

basis to go upon, but regular companies usually pay the agent a

percentage of the premium _which includes a considerable trust fund_

over and above the assessment for actual insurance. It is easily seen

that by the last method the agent's compensation increases in

proportion to the amount of savings bank business forced upon the

company.

To realize how far we are from anything like a scientific, not to say

common sense basis for insurance expenses, we have but to examine the

following list, which gives the ratios between the expenditures for

general expenses in 1889, and those for the extension of the business.

For every $100 used in a general way, the different companies spend

for commissions and agency expenses: $37, $66, $67, $78, $91, $106,

$110, $113, $120, $140, $157, $161, $173, $175, $186, $189, $200,

$202, $222, $264, $311, $346.

It will doubtless be said that I am taking a very advanced position

when I say that in the ideal life insurance scheme there is no place

for the commission system. Solicitors will be a necessity only so long

as they are in the field, but fifty years of life insurance has taught

our community its true value and, thanks to the modern press, the

institution it is no more likely to fall into desuetude than is

Christianity or the moral law.

For the convenience of bringing the company to the individual, the

latter should be willing to pay a fee. The man who renders another a

service or puts his superior knowledge at another's disposal should

look to the party benefited for his remuneration. Any compensation

given for such service to a go-between by a mutual company is paid by

all, and the question arises, Is the advantage to the company of

sufficient importance to warrant the imposition of this tax upon all

its members promiscuously? The following, from the Massachusetts

Insurance Commissioner's Report for 1885, leaves no doubt as to the

convictions of the writer on this important matter:

"The expensiveness of the life insurance policy is not because the

level net premium is too high, for the premium is absolutely just,

and the policy holder gets full value; but the complaint justly

applies to the excessive expense charge. A person who wants

insurance, life or fire or other, should be able to buy it at

first cost without paying tribute of profits to middlemen. To that

complexion the matter will finally be brought by the force of

intelligent opinion, whatever resistance may be opposed by persons

whose thrift lies in the perpetuation of the expensive system now

in fashion."

It requires but a slight degree of prophetic vision to predict that in

a very few years the companies in self defense will be obliged to

change their method of compensating agents.

Several companies have already begun the reform by grading

commissions; granting a percentage proportional to the amount of

insurance likely to be done on the policy. Other companies have simply

reduced the amount of the commission rate, thus virtually withdrawing

from active competition.

This will, in a certain degree, explain the wide variation in the

figures given above, where it is noticed that, in five companies out

of twenty-two, the total agency expenditures amount to less than the

general expenses, while in six cases the companies spend more than

double as much on the former as on the latter. In either class we find

representatives of the five largest companies in the country.

On applying the foregoing ratios to the business of the existing

companies we find that, calling the theoretical expenses $100, the

actual expenditures for 1889 were as follows: $112.67, $118.34,

$150.40, $194.48, $208.16, $208.53, $228.66, $235.89, $248.44,

$250.79, $258.33, $258.57, $265.14, $267.19, $267.92, $274.47,

$294.17, $314.96, $335.70, $377.94, $616.70.

In this discouraging exhibit there is one ray of comfort. The combined

assets of the two companies heading the list amount to over

$100,000,000. There is no question as to their financial standing, and

both show a large increase in membership over the previous year. I may

also say here that it is a difficult matter to get at the actual "cost

of insurance" in the various companies. Many of them, on their own

acknowledgment, do not compute the advance cost of carrying their

"amount at risk," and others, for reasons of their own, do not care to

state the figures. In cases where the correct figures were not

obtainable, I have assumed the cost to have been 1-1/3 per cent. of

the mean amount at risk.

If we should, in our comparison, omit the actual agency expenses and

commissions, the ratios would stand as follows:

Where I would allow $100 the companies actually used: $43.17, $55.90,

$65.21, $77.21, $82.39, $88.34, $91.99. $91.98. $92.19, $94.65,

$97.15. $99.55. $99.11. $102.86, $109.35, $125.05, $133.03, $141.92,

$195.90, $207.06, $287.72.

As might be supposed, the first two ratios are those companies before

alluded to. These companies might have doubled their advertising

account and expended $300,000 between them on agents' salaries, and

still have kept within my allowance.

Admitting, for the present at least, the reasonableness of the

proposed allowance for the expenses of the banking and insurance

departments of the business, we have before us the problem how to

equitably adjust the burden among the great variety of policies.

In the first place, _there should be no policy in the company that

does not contribute its proportionate share of the expense allowance

during every year of its life_. I make a special point of this, for at

present the policies which have become paid up, either by the payment

of a single premium at the outset or by the completion of a stipulated

number of payments, contribute practically nothing to the expense

account after the premium payments cease.

The following plan, I think, complies with all the requirements of the

problem. By the proposed method every policy, at all stages of its

existence, contributes its exact share to the expense fund, whatever

its plan of payment may be.

Let us, as an illustration, examine the case of a ten year endowment

policy, taken out at age 30, and consider it under three aspects,

first, as paid for in advance by a single payment, second, as paid by

five annual payments, and third, as paid for annually throughout the

term. I have used this short term endowment policy simply for

convenience, the rule applying equally to policies of longer term or

to the ordinary life policy, which is, in fact, an endowment policy

payable at death or age 100.[1]

[Footnote 1: The expense allowance on a plain life policy for $1,000,

taken at age 33, would be about $5.29; net premium (com. ex. 4 per

cent.), $18.04; total office premium, $23.33; present rate $24.10.]

Taking the case of the single premium endowment policy for $1,000, we

find that the following sums are required, each year to provide for

the care of the reserve and to pay the government fees (1 per cent. of

reserve):

1st year $6.9982 | 6th year $8.4136

2d " 7.2560 | 7th " 8.7381

3d " 7.5258 | 8th " 9.0781

4th " 7.8082 | 9th " 9.4346

5th " 8.1039 | 10th " 9.8086

The insurance expenses should be covered by the 20 per cent. allowance

given below:

1st year $ .4422 | 6th year $ .2566

2d " .4100 | 7th " .2076

3d " .3762 | 8th " .1556

4th " .3402 | 9th " .0988

5th " .2996 | 10th " .0344

Consequently the total contribution required from this policy each

year is:

1st year $7.4404 | 6th year $8.6702

2d " 7.6660 | 7th " 8.9457

3d " 7.9020 | 8th " 9.2337

4th " 8.1484 | 9th " 9.5334

5th " 8.4034 | 10th " 9.8430

The present value of all these contributions is found to be, at 4 per

cent. interest, $71.6394; in other words, this sum paid at the outset,

provides a fund from which we may deduct the current expenses of each

year in advance, and by accumulating the balance at the assumed rate

of interest from year to year, we shall have enough to pay the

anticipated expenses, leaving nothing over.

In the above case the sums in hand at the beginning of the year are as

follows:

1st year $71.3694 | 6th year $42.6981

2d " 66.7669 | 7th " 35.3890

3d " 61.4650 | 8th " 27.5009

4th " 55.7055 | 9th " 18.9979

5th " 49.4594 | 10th " 9.8430

We find a somewhat different condition existing during the first years

of a 5-year endowment policy. As there is more insurance and less

banking, the requirements are as follows:

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

| 1 P. Ct. | 20 P. Ct. | | |

| on | on | Total. | Initial |

| Reserve. | Cost. | | Fund. |

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

1st year | $1.5038 | $1.2572 |$2.7610 |$12.9769 |

2d " | 3.0406 | 1.0216 | 4.0622 | 23.6015 |

3d " | 4.6503 | .7852 | 5.4355 | 33.2979 |

4th " | 6.3367 | .5378 | 6.8745 | 41.9538 |

5th " | 8.1039 | .2996 | 8.4035 | 49.4594 |

6th " | 8.4136 | .2566 | 8.6702 | 42.6981 |

7th " | 8.7381 | .2076 | 8.9257 | 35.3890 |

8th " | 9.0781 | .1556 | 9.2337 | 27.5009 |

9th " | 9.4346 | .0988 | 9.5334 | 18.9979 |

10th " | 9.8086 | .0344 | 9.8430 | 9.8430 |

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

As the premium payments extend over only five years, the expense

contributions must all be paid during that time and are most

conveniently made by a uniform addition to the net premium.

The present value of the amounts in column 3 is $60.0819, and the

equivalent annuity for five years is $12.9769. This amount, received

for five consecutive years, will put the company in funds to pay

current expenses and leave a reserve of $42.6981 at the beginning of

the sixth year, which, as we have seen in the analysis of the

single-premium policy, is the sum required for future expenses on the

paid up basis.

In like manner we find that the 10-year annuity equivalent to the

present value of the annual contributions in the case of an

annual-payment policy is $5.534, thus:

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

| 1 P. Ct. | 20 P. Ct. | | |

| on | on | Total. | Initial |

| Reserve. | Cost. | | Fund. |

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

1st year | $.8234 | $1.3514 |$2.1748 |$ 5.5340 |

2d " | 1.6473 | 1.2478 | 2.8951 | 9.0275 |

3d " | 2.5096 | 1.1388 | 3.6484 | 11.9116 |

4th " | 3.4124 | 1.0210 | 4.4334 | 14.1277 |

5th " | 4.3572 | .8916 | 5.2488 | 15.6161 |

6th " | 5.3479 | .7534 | 6.1013 | 16.3160 |

7th " | 6.3853 | .5966 | 6.9819 | 16.1572 |

8th " | 7.4726 | .4270 | 7.8996 | 15.0763 |

9th " | 8.6127 | .2418 | 8.8545 | 12.9977 |

10th " | 9.8086 | .0344 | 9.8430 | 9.8430 |

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

The present value of the ten yearly expense items given in the "total"

column above is $46.6812, which is equal to a ten-year annuity of

$5.534. The several premiums stand now as follows:

Scientific American Supplement, No. 787, January 31, 1891 · 第 51 / 71 题