The Principles of Economics, with Applications to Practical Problems

by Frank A. Fetter

The market value of rent-charges reflects the exchange ratio between present and future money incomes

3. Rent-charges had a market-value, varying with time and place, and expressed as a number of years' purchase of the rent-charge. The sellers of rent-charges were influenced by many motives: a lord wished to build a castle, or go on a crusade; a farmer wished to improve his estate; a merchant wished to embark on larger ventures. Opportunities thus opened in the cities for men of wealth to get a fixed income for a payment of ready money. In the cities, the buyers seeking a fixed income would bid down, or bid up, the value of the rent-charges, which thus came to have a quotable market value. In time, greater and greater amounts were paid by the investors in return for the guarantee of a given income. In rural districts the value of the charges was low, that is, the capital sum was but ten or twelve times the value of the annual rent-charge; while in the cities it rose to twenty and even twenty-five times the annual rent-charge.

A memento of this practice, probably, is the manner in which the price paid for land is spoken of still in England and the continental countries in a phrase quite unfamiliar to American ears, as a certain number of "years' purchase." If an estate is sold for twenty times the annual net rental it is said to be sold at twenty "years' purchase." This does not mean that the rental for twenty years only is sold, but that the rental in perpetuity is sold for twenty times the annual rent; that is, the land is sold outright for twenty years' rent paid at once. The estate is looked upon primarily as yielding a fixed income; the value of the permanent possession of the estate is thought of as a certain number of times the value of the income secured. "Years' purchase" means, therefore, the length of time required for the income to amount to the purchasing price.

This attains the thought of the present value of the estate, or capital sum in it, though the capital sum is thought of as a multiple of the income, instead of the income being calculated as a percentage of the capital value. Now at the rate of "ten years' purchase" an investment of money in land affords an annual interest of ten per cent., as each year the rental is one tenth of the original investment; twelve years' purchase yields eight and one third per cent., twenty years' purchase, five per cent., and twenty-five years' purchase, four per cent. Increase in the number of years' purchase corresponds to a decrease in the rate of interest which the original investment of money, the capital sum, is expected to yield. This is equally true whether the investment be in the legal form of a purchase of the fee-simple of land, or in that of the purchase of a rent-charge. We are brought to this conclusion: that the present value of the rents in perpetuity, of any given wealth, is the capital value of the wealth; and that the reciprocal of the number of years' purchase is the rate of interest that an investment is expected to yield.

Purchase and sale of rent-charges gives way to more modern contracts

4. The sale of rent-charges has gradually given place to the modern form of money loan. The conditions of the contract in the sale of rent-charges were gradually changed for greater convenience. When the purchaser (the lender) was given the right to require repayment of the capital sum at the end of a specified time, the transaction was brought still closer to an ordinary loan. In this form, the sale of rent-charges is still found in southern Germany, but the greater simplicity of the money loan, and of the sale outright, has led to the almost total disuse of the older form of transaction.

The purchase of rent-charges was long looked upon as a very different thing from the loan of money, but to modern eyes it is not, and the old distinctions between the moralities of the two kinds of income appear now mainly quibbles, justified in a slight degree by certain social facts of the time. The rise of industry led to different ideas on the lending of money; the prejudice against it weakened in large classes of the population, especially in Protestant countries, and its use rapidly spread. Not until 1830 did a decision of Rome remove all disapproval on the part of the church. Rent-charges are instructive now as showing the mode in which rents began to be capitalized in earlier centuries.

§ II. CAPITALIZATION INVOLVED IN THE EVALUATING OF INDIRECT AGENTS

The capital value of durable wealth is the sum of its expected rents

1. The buying of any indirect agent is practically the purchasing of a "rent-charge." To account rationally for the market value of anything, its importance must be traced back to "gratification." We have examined and accepted the proposition that if a good is not affording enjoyment at the present moment it is kept because it will yield a rent until it is used. If it is never to afford direct enjoyment, if it is never to mature physically into the class of enjoyable goods, the explanation for its value must be found in the fact that it is capable of yielding a series of rents of enjoyable goods. In the last analysis the value of anything must be found in its power of affording psychic income, a series of psychic rents. Now when such a durable income is bought outright, what is the basis on which its value is estimated? What other than the rents it will afford? Exactly as did the purchasers of a medieval rent-charge, the buyer of the durable wealth pays a definite sum in return for the right to enjoy a series of future rents. As was the case with rent-charges, however, the amount paid will be less than the full matured value of the rents. A long series, even a perpetual series, may be exchanged for no more than ten, twenty, or twenty-five annual rents. While therefore the selling value of the good is the sum of the values of the rents, it evidently is that sum discounted. Immediately, when we have reached this point in the reasoning, our proposition must suggest itself as self-evidently true in this form: the value of any good is the sum of the entire series of rents it contains, discounted, at some rate, to their present worth. What determines the rate of discount is a question that will call later for a fuller explanation.