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NOTE 6.11. The Time Structure of Interest Rates

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11.

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The Time Structure of Interest Rates

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It is clear that the natural interest rates are highly flexible.

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They tend toward uniformity and are easily changed as entrepreneurial expectations change.

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In the real world, the prices of the various factors and intermediate products, as well

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as of the final products, are subject to continual fluctuation, as are the prices of stock and

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and the interest return on them.

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It is also clear that the interest rate on short-term loans is easily changed with changed

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conditions.

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As the natural interest rate changes, the new loans for short periods can easily conform

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to the change.

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A difficulty seems to arise, however, in the case of long-term producer's loans.

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Here is an apparently clear-cut rigid element in the system, and one which can conform to

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the natural rate of interest in investments only after a great lag.

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After all, a 20-year loan is contracted at an original interest rate that remains fixed

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for the duration.

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Is this not a fixed element that cannot conform to changing conditions and valuations?

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This superficial view is incorrect. Long-term IOUs can also be bought and sold in a market.

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Most of these long-term debts are called bonds, and they are traded in a flourishing and flexible

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bond market. The fixed rate of interest at the beginning is unimportant. Thus, a 100-ounce

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Its long-term loan is contracted at 5% fixed interest, or 5 ounces per year.

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If the general interest rate rises, people will tend to sell their bonds, which have

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been yielding them only 5%, and invest their money elsewhere, either in whole firms, stocks

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of firms, or short-term loans.

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This increased willingness to sell bonds, an increased supply schedule, depresses the price

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of the bond, until the interest yield to the buyer is the same as the general interest

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rate elsewhere.

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Thus, if the general interest rate goes up from 5% to 10%, the price of the bond will

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will fall from 100 to 50, so that the fixed annual return of 5 will provide an interest

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yield of 10%.

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The important element in bond investment is not the original interest rate, the fixed

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return on the so-called par value of the bond, but the interest yield on the market price

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of the bond.

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A general lowering of the interest rate will, on the other hand, raise the bond prices above

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par, and push yield below 5%.

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As the day of redemption of the bond draws near, the market price of the bond will, of

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course, rapidly approach the par value, until it finally sells at par, since the amount

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The theory of money is based on the principle of the loan.

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It is clear that in the ERE the interest rates for all periods of time will be equal.

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The tendency toward such equality at any one time, however, has been disputed in the case

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of expected future changes in the interest rate.

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Although surprisingly little attention has been devoted to this subject, the prevailing

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theory is that on the loan market there will not be a tendency toward equalization if a

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change in interest rates is expected in the near future.

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Suppose that the interest rate is now 5% and it is expected to remain there.

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Then the interest rate on loans of all maturities will be the same, 5%.

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It is, however, that the interest rate is expected to increase steadily in the near future, say, to increase each year by 1% until it will be 9% four years from now.

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In that case, since the short-run rate, say, the rate of interest on loans lasting one year or less, is expected to increase over the next four-year period,

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And the present long-run rate for that period, for example, the present rate for 5-year loans,

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will be an average of the expected future short-run rates during this period.

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Thus, the present rate on 5-year loans will be 5% plus 6% plus 7% plus 8% plus 9% divided

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by 5, equaling 7%.

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The long-run rate will be the average of short-run rates over the relevant period.

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Consequently, the long-run rates will be proportionately higher than short-run rates when the latter

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are expected to increase, and lower when the latter are expected to be lower.

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This however is a completely question-begging theory.

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Suppose that a rise in interest rates is expected.

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Why should this be simply confined to a rise in the short-term rates?

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Why should not the expectation be equally applicable to long-term rates so that they rise as well?

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The theory rests on the quite untenable assumption that it sets out to prove, namely that there

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is no tendency for short-term and long-term rates to be equal.

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The assumption that a change in the interest rate will take place only over the short term

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is completely unproved, and goes against our demonstration that the short-run and long-run

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rates tend to move together.

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Further, the theory rests on the implicit assumption that individuals will be content

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to remain lenders in shorts at 5 percent, while their fellow investors reap 7 percent

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on the long market, simply because they expect that eventually, if they stay in the short

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market, they will earn an average of 7%.

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What is there to prevent a present lender in shorts from selling his currently earning

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5% loan, purchasing a 7% long, waiting for the presumed rise in shorts above 7% after

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The Theory of Money and Credit

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By striving to do so, he will set up an irresistible arbitrage movement from shorts to longs, with

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the rate of interest in the former thereby rising from the sales of loans on the market,

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and the rate of interest in longs falling, until the rate of interest is uniform throughout

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the time structure.

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The same thing occurs in the case of an expectation of a future fall.

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Longs cannot remain in equilibrium below shorts for any length of time, since there will be

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a present movement from longs to shorts on the market, until the rates of interest for

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all time structures are equal, and the arbitrage movement ceases.

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The interest rate, then, always tends to be uniform throughout its time structure.

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What happens if the interest rate is expected to change in the near future?

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In that case, there will be a similar process, as in the case of speculation in commodities.

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Speculators will bid up the interest rate in the expectation of an imminent rise, or

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bid down the rate in expectation of a fall.

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Clearly, the earlier a rise or fall is expected to take place, the greater proportionately

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will be the effect on the speculators, and the greater impact it will have on current

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movement in the rate.

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In the case of a commodity, stocks would be withheld in expectation of a rise in demand

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and price, and then released, thereby effecting a more rapid transition to the price eventually

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The Theory of Money and Credit

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of Basic Time Preferences.

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Just as speculative errors in regard to commodity prices cause losses and impel further change

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to the real underlying price, so speculative errors will be self-correcting here, too,

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and lead the rate of interest to the height determined by underlying time preferences.

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The absurdity of separating the long-run and the short-run interest rates becomes evident

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when we realize that the basic interest rate is the natural rate of interest on investments,

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not interest on the producer's loan market.

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We have already seen the essential identity of the rate of earnings on the loan market

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with that on the stock market.

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If we consider the stock market, it becomes obvious that there is no distinction in rates

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between short-run and long-run investments.

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Different firms engage in stages of production of varying lengths.

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Yet the stock market equates the rate of interest on all investments, obliterating the differences

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in time structure so thoroughly that it becomes difficult for many writers to grasp the very

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concept of period of production.

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But since the operations of the stock market and the loan market are essentially the same,

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it is obvious that there is no difference in causal explanation between short-run and

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long-run interest rates.

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Those writers who postulate an essential difference between the nature of long-run and short-run

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and rates have been misled by a common penchant for considering the time market as confined

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exclusively to the loan market, when in fact the loan market is only a dependent one.

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In actual practice, it may well happen that either the short-run loan market or the long-run

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market may change first, with the other market following.

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Which market characteristically changes first is the outcome of the concrete conditions.
