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NOTE 4.07. The Prices of Durable Goods and Their Services

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7. The Prices of Durable Goods and Their Services

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Why does a man purchase a consumer's good? As we saw back in Chapter 1, a consumer's

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good is desired and sought because the actor believes that it will serve to satisfy his

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urgently valued desires, that it will enable him to attain his valued ends. In other words,

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The good is valuable because of the expected services that it will provide.

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Tangible commodities then, such as food, clothing, houses, etc., and intangible personal services,

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such as medical attention and concert performances, are similar in the life of the consumer.

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Both are evaluated by the consumer in terms of their services in providing him with satisfactions.

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Every type of consumer's good will yield a certain amount of services per unit of time.

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These may be called unit services.

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When they are exchangeable, these services may be sold individually.

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On the other hand, when a good is a physical commodity and is durable, it may be sold to

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to the consumer in one piece, thereby embodying an expected future accrual of many unit services.

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What are the interrelations among the markets for and prices of the unit services and the

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durable good as a whole?

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Other things being equal, it is obvious that a more durable good is more valuable than

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and a less durable good, since it embodies more future unit services.

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Thus, suppose that there are two television sets, each identical in service to the viewer,

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but that A has an expected life of five years and B of ten.

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Though the service is identical, B has twice as many services as A to offer the consumer.

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On the market then, the price of B will tend to be twice the price of A. Strictly this

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is not correct, and the important qualification will be added later.

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Since as a result of time preference, present services are worth more than the same ones

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in the future, and those in the near future more than those in the far future, the price

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of B will be less than twice the price of A.

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For non-durable goods, the problem of the separate sale of the service of the good and

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of the good itself does not arise.

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Since they embody services over a relatively short span of time, they are almost always

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sold as a whole.

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Butter, eggs, Wheaties, etc. are sold as a whole, embodying all their services.

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Few would think of renting eggs.

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Personal services, on the other hand, are never sold as a whole, since on the free market

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slave contracts are not enforceable.

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Thus, no one can purchase a doctor or a lawyer or a pianist for life to perform services

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at will with no further payment.

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Personal services, then, are always sold in their individual units.

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The problem, whether services should be sold separately or with the good as a whole, arises

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in the case of durable commodities, such as houses, pianos, tuxedos, television sets,

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etc.

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We have seen that goods are sold not as a total class, for example, bread or eggs, but

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in separate homogeneous units of their supply, such as loaves of bread or dozens of eggs.

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In the present discussion, a good can be sold either as a complete physical unit, a house,

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a television set, etc., or in service units over a period of time.

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This sale of service units of a durable good is called renting, or renting out, or hiring

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out the good.

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The price of the service unit is called the rent.

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Since the good itself is only a bundle of expected service units, it is proper to base

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our analysis on the service unit.

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It is clear that the demand for and the price of a service unit of a consumer's good will

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be determined on exactly the same principles as those set forth in the preceding analysis

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of this chapter.

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A durable consumer's good embodies service units as they will accrue over a period of

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time, thus suppose that a house is expected to have a life of 20 years. Assume that a

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year's rental of the house has a market price as determined by the market supply and demand

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schedules of 10 ounces of gold. Now what will be the market price of the house itself should

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it be sold? Since the annual rental price is 10 ounces, and if this rental is expected

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to continue, the buyer of the house will obtain what amounts to 20 x 10 or 200 ounces of prospective

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rental income.

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The price of the house as a whole will tend inexorably to equal the present value of the

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200 ounces.

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Let us assume, for convenience at this point, that there is no phenomenon of time preference

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and that the present value of 200 ounces is therefore equal to 200 ounces.

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In that case, the price of the house as a whole will tend to equal 200 ounces.

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Suppose that the market price of the house as a whole is 180 ounces.

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In that case, there will be a rush to buy the house, since there is an expected monetary

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This action is similar to speculative purchasers buying a good and expecting to resell at

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a higher price.

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On the other hand, there will be a great reluctance by the present owners of such houses, or of

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The house, if there is no other house judged by the market as the same good, to sell at

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that price, since it is far more profitable to rent it out than to sell it.

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Thus, under these conditions, there will be a considerable excess of demand over supply

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of this type of house for sale, at a price of 180 ounces.

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The upbidding of the excess demand tends to raise the price toward 200.

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On the other hand, suppose that the market price is above 200.

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In that case, there will be a paucity of demand to purchase since it would be cheaper to pay

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rental for it instead of paying the sum to purchase it.

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On the contrary, possessors will be eager to sell the house rather than rent it out

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since the price for sale is better.

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The excess supply over demand at a price over 200 will drive the price down to the equilibrium point.

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Thus, while every type of market price is determined as in the foregoing sections of this chapter, the market also determines price relations.

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We see that there is a definite relationship between the price of the unit services of

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a durable consumer's good and the price of the good as a whole.

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If that relationship is disturbed or does not apply at any particular time, the actions

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of individuals on the market will tend to establish it, because prospects of monetary

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gain arise until it is established, and action to obtain such gain inevitably tends to elude

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This is a case of arbitrage in the same sense as the establishment of one price for a good on the market.

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If two prices for one good exist, people will tend to rush to purchase in the cheaper market

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and sell more of the good in the more expensive market until the play of supply and demand on each market

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establishes an equilibrium price and eliminates the arbitrage opportunity.

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In the case of the durable good and its services, there is an equilibrium price relation which

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the market tends to establish.

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The market price of the good as a whole is equal to the present value of the sum of its

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expected future rental incomes or rental prices.

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The expected future rental incomes are, of course, not necessarily a simple extrapolation

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of present rental prices.

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Indeed, since prices are always changing, it will almost always be the case that rental

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prices will change in the future.

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When a person buys a durable good, he is buying its services for a length of time extending

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into the future.

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Hence, he is more concerned with future than with present rates.

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He merely takes the latter as a possible guide to the future.

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It needs to be kept in mind that strictly there is no such thing as a present price established

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by the market.

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When a man considers the price of a good, he is considering that price agreed upon in

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the last recorded transaction in the market.

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The present price is always, in reality, the historically recorded price of the most immediate

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past, say, a half hour ago.

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What always interests the actor is what various prices will be at various times in the future.

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Now suppose that the individuals on the market generally estimate that rents for this house

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over the next decade or so will be much lower than at present.

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The price of the house will then not be twenty times ten ounces, but some correspondingly

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smaller amount.

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At this point we shall define the price of the good as whole as its capital value on

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the market, even though there is risk of confusion with the concept of capital good.

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The capital value of any good, be it consumers or capital good or nature-given factor, is

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The money price which, as a durable good, it presently sells for on the market.

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The concept applies to durable goods embodying future services.

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The capital value of a consumer's good will tend to equal the present value of the sum

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of expected unit rentals.

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The capital value at any time is based on expectations of future rental prices.

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What happens when these expectations are erroneous?

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Suppose for example that the market expects the rental prices of this house to increase

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in the next few years and therefore sets the capital value higher than 200 ounces.

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Suppose further that the rental prices actually decline instead.

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This means that the original capital value on the market had overestimated the rental

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All Income from the House.

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Those who had sold the house at, say, 250 have gained, while those who bought the house

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in order to rent it out have lost on the transaction.

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Thus, those who have forecast better than their fellows gain, while the poorer forecasters

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lose as a result of their speculative transactions.

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It is obvious that such monetary profits come not simply from correct forecasting, but from

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From Forecasting More Correctly Than Other Individuals

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If all the individuals had forecast correctly, then the original capital value would have

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been below 200, say 150, to account for the eventually lower rental prices.

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In that case, no such monetary profit would have appeared.

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The concept of monetary profit and loss, and their relation to capitalization, will be

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be explored later.

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It should be clear that the gains or losses are the consequences of the freely undertaken

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action of the gainers and losers themselves.

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The man who has bought a good to rent out at what proves to be an excessive capital value

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has only himself to blame for being overly optimistic about the monetary return on his

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investment.

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The man who sells at a capital value higher than the eventual rental income is rewarded

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for his sagacity through decisions voluntarily taken by all parties.

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And since successful forecasters are, in effect, rewarded and poor ones penalized, and in proportion

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to good and poor judgment respectively, the market tends to establish and maintain as

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is high a quality of forecasting as is humanly possible to achieve.

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The equilibrium relation between the capital value on the market and the sum of expected

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future rents is a day-to-day equilibrium that tends always to be set by the market.

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It is similar to the day-to-day market equilibrium price for a good set by supply and demand.

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On the other hand, the equilibrium relation between present capital value and actual future

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rents is only a long-range tendency fostered by the market's encouragement of successful

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forecasters.

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This relation is a final equilibrium, similar to the final equilibrium prices that set the

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goal toward which the day-to-day prices tend.

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The theory of capital value and rental prices requires additional supply-demand analysis.

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The determination of the unit rental price presents no problem.

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Price determination of the capital value, however, needs to be modified to account for

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this dependence on, and relationship to, the rental price.

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The demand for the durable good will now be not only for direct use, but also on the

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Part of Others Demand for Investment in Future Renting Out

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If a man feels that the market price of the capital value of a good is lower than the

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income he can obtain from future rentals, he will purchase the good and enter the renting

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out market as a supplier.

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Similarly, the reserved demand for the good as a whole will be not only for direct use

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or for speculative price increases, but also for future renting out of the good.

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If the possessor of a durable good believes that the selling price, capital value, is

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lower than what he can get in rents, he will reserve the supply and rent out the good.

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The capital value of the good will be such as to clear the total stock, and the total

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All of all these demands for the good will be in equilibrium.

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The reserved demand of the buyers will, as before, be due to their reserved demand for

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money, while the sellers of both the good as a whole and of its unit services will be

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demanding money in exchange.

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In other words, for any consumer's good, the possessors have the choice of either consuming

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Using It Directly or Selling It for Money In the case of durable consumers' goods,

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the possessors can do any one of the following with the good.

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Use it directly, sell it whole, or hire it out, selling its unit services over a period

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of time.

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We have already seen that if using it directly is highest on his value scale, then the man

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uses the good and reserves his stock from the market.

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If selling it whole is highest on his value scale, he enters the capital market for the

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good as a supplier.

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If renting it out is highest on his value scale, then he enters the renting market for

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the good as a supplier.

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Which of these latter alternatives will be higher on his value scale depends on his estimate

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of which course will yield him the higher money income.

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The greater the expected income, the less will be the amount reserved for direct use.

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It is clear that the supply schedules on the two markets are interconnected.

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They will tend to come into equilibrium when the equilibrium price relation is established

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between them.

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Similarly, the non-possessors of a good at any given time will choose between a.

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not buying it and reserving their money, buying it outright, and renting it.

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They will choose the course highest on their value scales, which depends partially on their

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demand for money and on their estimate of which type of purchase will be cheaper.

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If they decide to buy, they will buy on what they estimate is the cheaper market.

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Then they can either use the good directly or resell it on the more expensive market.

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Thus, if the capital value of the house is 200 and a buyer estimates that total rental

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prices will be 220, he buys outright at 200, after which he may either use it directly

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or enter the rental market as a supplier in order to pay ounces.

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The latter choice, again, depends on his value scale.

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Here it must be pointed out that in some cases the renting contract itself takes on the characteristics

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of a capital contract and the estimating of future return, such is the case of a long-term

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renting contract.

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Suppose that A is planning to rent a house to B for 30 years at a set annual price, then

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Instead of continual changes in rental price, the latter is fixed by the original contract.

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Here again, the demand and supply schedules are set according to the various individual

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estimates of the changing course of other varying rents for the same type of good.

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Thus, if there are two identical houses, and it is expected that the sum of the varying rents on

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When house A for the next 30 years will be 300 ounces, then the long-term renting price

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for house B will tend to be set at 10 ounces per year.

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Here again there is a similar connection between markets.

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The price of presently established long-term rents will tend to be equal to the present

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value of the sum of the expected fluctuating rents for identical goods.

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If the general expectation is that the sum of rents will be 360 ounces, then there will

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be a heavy demand for long-term rent purchases at 300 ounces, and a diminished supply for

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rent at that price, until the long-term rental price is driven to 12 ounces per year, when

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the sum will be the same.

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And here again, the ever-present uncertainty of the future causes the more able forecasters

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to gain and the less able ones to lose.

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In actuality, time preference exists, and the present value of the future rentals is

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always less by a certain discount than the sum of these rentals.

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If this were not so, the capital value of very durable goods, goods which wear out only

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and Money Imperceptibly would be almost infinite.

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An estate expected to last and be in demand for hundreds of years would have an almost

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infinitely high selling price.

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The reason this does not happen is that time preference discounts future goods in accordance

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with the length of time being considered.

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How the rate of time preference is arrived at will be treated in later chapters.

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However, the following is an illustration of the effect of time preference on the capital

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value of a good. Assume a durable good expected to last for 10 years with an expected rental

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value of 10 ounces each year. If the rate of time preference is 10 percent per annum,

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then the future rents and their present value are as follows. In the first year with an expected

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The present value would be 4.4 ounces. In the 9th year, with an expected rent of 10 ounces, the present value would be 4 ounces.

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And in the 10th year, with an expected rent of 10 ounces, the present value would be 3.6 ounces.

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The sum of these present values equals 59.4 ounces, equals the capital value of the asset, as compared to a sum of 100 ounces of future rent.

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As the date of time recedes into the future, the compounded discount becomes greater, finally reducing the present value to a negligible amount.

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It is important to recognize that the time preference factor does not, as does relatively correct forecasting of an uncertain situation,

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confer monetary profits or losses. If the time preference rate is 10%, purchasing the aforementioned good for 59.4 ounces,

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In general, we may sum up the action of

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Entrepreneurs in the field of durable consumers' goods by saying that they will tend to invest

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in the outright purchase of already existing durable consumers' goods when they believe

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that the present capital value of the good on the market is less than the sum of future

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rentals, discounted by time preference, that they will receive.

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They will sell such goods outright when they believe that the present capital value is

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higher than the discounted sum of future rentals.

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Better forecasters will earn profits, and poorer ones will suffer losses.

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Insofar as the forecasting is correct, these arbitrage opportunities will tend to disappear.

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Although we have analyzed the arbitrage profits and losses of entrepreneurship in the case

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of selling outright as against renting, we have yet to unravel fully the laws that govern

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entrepreneurial incomes, the incomes that the producers strive to obtain in the process

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of production.

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This problem will be analyzed in later chapters.
