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Economic Aspects of the Pension Problem: Part II

Economics / Pensions & Retirement Jan 09, 2010 - 08:18 AM GMT

By: Professor_Emeritus


Best Financial Markets Analysis ArticleAs It Appears Sixty Years Later

In Two Parts. Part Two: Productivity Revisited - In Part One I discussed the clear and present danger to pension rights: deflation as manifested by the interest rates structure that has been falling for almost thirty years, while most observers still think that the real danger is inflation. In this concluding part I carry out a deeper analysis of the pension problem, looking at the marginal productivity of labor and capital.

Higher marginal productivity: boon or bane?

The main point of Mises in discussing the pension problem is that the only means to increase permanently the wages and benefits payable to workers is to increase the per capita quota of capital invested in the methods of production, thereby raising the marginal productivity of labor. (See References, Planning for Freedom, p 6.) This is certainly true so far as it goes. It is also true that, if we project this observation to the world at large, then we can conclude that in order to have a progressive world economy and receding poverty, global capital accumulation must accelerate relative to increase in population. The greater the quantity and the better the quality of tools, the greater will be the output of the marginal worker, that is, the greater will be the marginal productivity of labor.

One may get the impression from reading Mises that an increase in marginal productivity is always beneficial to society -- as indeed it would have been under the conditions he envisaged. However, in the case of a monetary system that admits both large swings and a prolonged slide in interest rates, this is not true. If the matter were simply increasing marginal productivity, monetary policy would be a valid means of "turning the stone into bread". All it would take is central bank action to keep raising the rate of interest indefinitely. Under this scheme the marginal producer whose capital produces at the marginal rate of productivity is forced to close down his operations. His marginal equipment and plants are idled. His workers producing, as they are, at the marginal rate of productivity of labor are laid off.

We conclude that the marginal productivity of both capital and labor automatically rises as a consequence of a rise in the interest rate structure. However, in this case the rise in productivity, far from being a boon, is a bane to society, as it makes output and employment shrink. The trick is precisely to make marginal productivity rise along with rising output and employment.

Gold standard: a safeguard against deflation

No one has asked how it is possible that an increase in marginal productivity could be beneficial to society in one instance, and harmful to it in another. The point is that the gold standard is an absolute prerequisite for a rise in marginal productivity to be beneficial. Only the gold standard can prevent wholesale capital consumption. Only the gold standard can provide the necessary background of stable interest rates or, more precisely, a gentle fall in the rate of interest due to an acceleration in the accumulation of capital as compared to population growth, so that a steady rise in marginal productivity along with production and employment be assured. This brings the role of pension funds into a sharp focus. An increase in population growth rates, whenever they may occur, will soon enough cause an acceleration of capital accumulation due to an increase in the demand for pension rights. The new capital thus created must be put to work in an optimal way.

Without the proviso on stable interest rates that can only be guaranteed by a gold standard it is possible that increasing marginal productivity may lead to diminishing of output and employment, that is to say, to deflation. The gold standard, contrary to the propaganda of its detractors, is the chief guarantor that deflation will not occur while marginal productivity keeps increasing -- assuming that private pension funds provide fully funded plans for the benefit of the prospective pensioners. Only investments in improvements of production methods can make sure that future pensions can be paid when they are due.

Thesis, anti-thesis, synthesis

Mises built his theory of interest exclusively on his thesis of time preference. He categorically rejected the anti-thesis suggesting that the productivity of capital may also have something to do with the rate of interest. The fact is that a synthesis between the two competing and seemingly antagonistic theories is possible, as I have shown in my lectures developing my own theory of interest that extends Carl Menger's idea of distinguishing between the asked and bid price from the commodity to the bond market.

I start by defining the rate of interest as that rate at which the coupons (along with redemption at face value upon maturity) will amortize the market price of the gold bond. As the latter could well be higher or lower than face value, the actual rate of interest could be lower or higher than the coupon rate. It is important to note that the relation between the two is inverse. Only in the statistically rare event when the market price of the bond coincides with its face value will the rate of interest be equal to the coupon rate.

With Menger's insight we realize that the market produces not one but in fact two prices for the gold bond: a higher asked price and a lower bid price. Transactions take place between these two extremes. This means that the actual rate of interest varies between the floor and the ceiling, and vary it does inversely with the bond price. Because of this inverse relationship the asked price corresponds to the floor, and the bid price to the ceiling of the range for the rate of interest.

My theory asserts that the floor for the rate of interest is determined by marginal time preference, i.e., time preference of the marginal bondholder. The rate of interest could not fall through the floor because it would be resisted by the marginal bondholder selling his bond (a future good) to keep the proceeds in gold (a present good). The ceiling, in turn, is determined by the marginal productivity of capital, i.e., the productivity of the marginal producer. The rate of interest could not go through the ceiling either, because it would be resisted by the marginal producer selling his capital goods to put the proceeds into the higher-yielding gold bonds.

Clearly, the floor and the ceiling for the rate of interest are conceptually different. They are subject to different forces, acting independently of one another. In more detail, the floor is regulated by the arbitrage of the marginal bondholder between the bond market and the gold market according to marginal time preference. By contrast, the ceiling is regulated by the arbitrage of the marginal producer between the capital goods market and the bond market according to the marginal productivity of capital.

Mises passed over these instances of arbitrage. In particular, he missed the arbitrage of the marginal producer who, in leaving his own capital goods idle and buying the bonds of his more productive colleagues whenever interest rates rise and, conversely, selling the bonds at a profit and redeploying his own idled capital goods when interest rates fall, provides a clear manifestation of human action. This action plays a fundamental role in regulating the rate of interest. This is "the other blade of the scissor" (the first blade is the action of the marginal bondholder) without which there is no cutting. As this analysis shows, there is an interaction between changes in the marginal productivity of capital and the rate of interest -- something Mises overlooked when he dismissed productivity considerations from his theory of interest. I had to go back to Menger for inspiration to make repairs for the oversight. My theory of the origin of interest is motivated by Carl Menger's theory of the origin of money.

Is there life after Mises?

I am an admirer of Mises who unquestionably made a great contribution to economic thought. After Menger, he will in all probability prove to have been the greatest economist of the 20th century. But Mises was a modest man and never took the view that his own word should be taken as dogma. He would have been made uncomfortable by those disciples of his who, effectively, frown upon further economic research by treating Mises' work as the last word, and who automatically disagree with anyone who proposes a different or a more refined view. No branch of human knowledge can advance under such circumstances.

I have always considered it my duty to point out errors, whatever the consequences. This attitude on my part is in fact completely uncontentious -- it is motivated solely by the desire to advance knowledge "without fear or favor". It is unfortunate that, when my comments involve something Mises said, I am the object of name-calling and personal attacks by those who seem to want to preserve the work of Mises, frozen in time -- rather than something that serves as a basis for discussion and further research. I can do no better than quoting Mises himself:

Calling names is quite out of place if the accuser is not in the position to demonstrate clearly in what the deficiency of the smeared author's doctrine consists. The only thing that matters is whether a doctrine is sound or unsound. This is to be established by facts and deductive reasoning. If no tenable arguments can be advanced to invalidate a theory, it does not in the least detract from its correctness if the author is called names... Those who call authors with whom they disagree names merely confess their inability to discover any fault in their adversaries' theories.

Marginal productivity of labor

In Human Action Mises does not treat marginal productivity. There is one sentence on the marginal productivity of labor in the essay Planning for Freedom. I have quoted that sentence above. More can be found on this subject in his The Anti-Capitalistic Mentality (see References).

Following Mises I define the marginal productivity of labor to be the change in net output upon the elimination of a marginal worker from the labor force. A worker is marginal if his contribution to net output is smaller (at any rate, no greater) than that of any other worker. It is that worker whose job has become obsolete, is no longer justified on grounds of productivity, and will be terminated by the producer at the first opportunity. (In his original definition Mises did not qualify the noun "worker" with the adjective "marginal". This would appear to leave the concept of marginal productivity of labor ambiguous.)

It is important to distinguish between two distinct possibilities of increasing marginal productivity of labor, and to analyze the difference. Marginal productivity may increase when workers reaching retirement age are replaced by newly trained workers aided by newer, better tools. The new marginal worker produces more than the recently retired marginal worker. The marginal productivity of labor has increased. Mark that total output and employment has also increased. We may call this the progressive way of increasing the marginal productivity of labor.

The other possibility is very different. Here the marginal worker has been laid off without replacement. The next most productive worker at the lower end of the productivity spectrum is now promoted to the position of being the marginal worker. There is no improvement in tools and production methods, only a shift of the margin from less to more productive labor. As a result, both output and employment shrink. We may call this the retrogressive way of increasing the marginal productivity of labor. As an example to show how this might happen, consider an increase in the rate of interest. It will turn marginal workers into submarginal ones, earmarking them for layoff, thereby increasing marginal productivity but decreasing total output and employment.

The difference between the progressive and retrogressive increase in the marginal productivity of labor can also be seen in relation to capital. In the progressive case there is capital accumulation. Newly perfected tools or production methods are introduced and freshly trained workers employed. This is a dynamic change that cannot help but increase total output and employment. In the retrogressive case, the change has increased marginal productivity at the expense of employment, and there is capital decumulation. Material factors, still serviceable, are phased out of production along with the elimination of marginal workers. No new factors of production are introduced, only the attrition of workers and their obsolescent tools is stepped up.

Marginal productivity of capital

Apparently Mises has never defined the concept of the marginal productivity of capital formally (although he refers to it in Human Action and also in The Anti-Capitalistic Mentality). Presumably he shied away from developing this aspect of the theory because it would reveal that a position according to which productivity has nothing to do with the rate of interest is untenable.

I define the marginal productivity of capital as the change in net output which occurs when a marginal material factor is withdrawn from production. A material factor of production is marginal if its contribution to net output is smaller (at any rate, no greater) than that of any other of the same value. It is that piece of equipment or plant that the producer will discard first -- because it is insufficiently productive -- at which time another piece of equipment or plant with a higher productivity takes its place.

Again, it is important to distinguish between two distinct scenarios in which the marginal productivity of capital can increase, and to analyze the difference. In the first scenario the producer plays an active role. In making investments to improve tools and methods of production he aims at producing a greater amount or better quality of goods than before. There is a dynamic shift from the less to the more productive through reshuffling workers and tools. Whether the removal of a marginal piece of equipment or plant simply means reassigning it to a new task, or whether it means scrapping and replacing it with brand new material factors, makes no difference. In neither case is there a contraction of output or employment; there might well be an increase. We may call this the progressive way of increasing the marginal productivity of capital.

The other scenario is very different. Here the producer plays a passive role. He responds to forces outside of his control. He leaves marginal material factors of production idle. He lays off workers who have been producing with the now-idle equipment in the now-idle plants. Marginal productivity increases solely on the strength of a shift to another marginal material factor that was already in service. There is no improvement in tools and production methods per se. As a result of the shift of the margin from the less to the more productive, marginal tools and plants are rendered submarginal. Both output and employment shrink. We may call this the retrogressive way of increasing the marginal productivity of capital. Typically it occurs whenever the rate of interest rises.

An important special case is the action of the marginal entrepreneur. When there is an increase in the rate of interest, he sells his idle equipment or plant and buys bonds. This allows him to participate in the earnings of other producers whose material factors produce at a higher productivity than that of his own. When the rate of interest subsequently declines, the marginal entrepreneur will sell his bonds at a profit and with the proceeds buys new plant equipped with new tools. Now he can compete successfully with other producers.

This is arbitrage between the capital goods market and the bond market. It reveals that the marginal productivity of capital sets the ceiling to the range within which the rate of interest can vary. The arbitrage of the marginal producer between the market for material factors of production and the bond market is a most important instance of human action, one that promotes not only the stability of interest rates, but that also helps renew society's park of capital goods. Along with the analogous arbitrage of the marginal bondholder between the bond market and the gold market, these two instances of human action are indispensable for the understanding of the market processes responsible for the formation of the rate of interest. It goes without saying that both have a bearing upon the pension problem.

Relation between the marginal productivity of capital and labor

The first interesting question that arises in connection with the pension problem is the relation between the two marginal productivities: that of capital and labor. The observation, made by Mises, that improvement in the marginal productivity of capital must precede and exceed that of labor, is justified by the necessity to create the funds needed to improve the quality of life of the working people. This is why the health of the pension plans has such an utmost importance. The first impetus in the long chain of improvements from the marginal productivity of capital, through the marginal productivity of labor, through the improvement in wages to the improvement of pensions must come from the pension funds themselves. If they are healthy (meaning fully funded), then they will serve as the source from which the capitalist borrows the funds lending them to the entrepreneur, who will invest them either in more tools, or in research leading to new production methods.

The second question is how to allocate the potentially available new capital between simply purchasing more tools, or investing it in research and development to develop improved production methods. Further analysis will show how the allocation problem is solved by the market. Clearly, it cannot be solved at the level of the shop-floor, nor even at the level of the executive board-room. The decision must take into account demographic movements such as net change in the number of pensioners relative to net change in the number of workers contributing to pension plans.

I have treated this allocation problem in my other writings by graduating from a simple diagonal model of the capital market involving two participants (the supplier and the user of capital) to what I call the hexagonal model of capital market involving six participants (the annuitant, the annuitand, the entrepreneur, the inventor, the capitalist and, finally, the investment banker, see References). For example, if the balance between the annuitands and annuitants is changing in favor of the latter (otherwise expressed, there is a demographic shift increasing the number of pensioners relative to that of the workers), then more funds will be allocated to the entrepreneurs to acquire more or better tools, and less to the inventors working on improved production methods. The point is that the market will always find the "optimal mix", fitting the given data, provided that it can operate freely, and the central bank is constitutionally barred from "regulating" the rate of interest.

Mises: happy warrior combatting inflation

The strength of Mises is in his unflagging criticism of inflationism. Unfortunately, sometimes this goes at the expense of his drawing a clear line between inflationism and deflationism. Mises treats deflation in an off-hand fashion, as if it was merely a side-effect of previous inflation (credit expansion). This hardly does justice to the problem. We now know that deflation is a great problem of economics in its own right. For example, Mises deals with the perennial effort of the government and the banks to suppress the rate of interest, if need be all the way to zero, only as a manifestation of inflationary propensities. Still more serious is his ignoring the possibility that the government and banking system may succeed in pushing the rate of interest down all the way to zero without actually triggering hyperinflation, and in doing so unwittingly causing deflation. Declining interest rates are responsible for the hard-to-detect erosion, ultimately destruction, of capital that is plaguing the world economy right now.

Incidentally, the same successful effect of artificially suppressing the rate of interest furnishes a major part of the real explanation for the Great Depression of the 1930's. By sabotaging the gold standard the governments allowed bond speculators to bid bond prices sky high, thus driving interest rates down to unprecedented lows.

In the same order of ideas I also mention that in the public mind the deliberate wrecking of the gold standard by the government is firmly associated with inflation. But as a more detailed analysis will show, the absence of gold standard could also cause deflation through making interest rates fall, namely, by rendering bullish bond speculation risk-free. The Austrian school has so far failed to study this important fact, even though this is the best argument to show that the pension problem cannot be solved without the rehabilitation of the gold standard.

I hope that my contribution to the vexing problems of the theory of interest will help to end the century-old fratricidal war between the time preference and the productivity schools. I also hope that my thesis about falling interest rates causing capital destruction will be exhaustively discussed and the alarm will be sounded, in order to save the pension funds from extinction. Finally, I hope that the day is getting closer when the Austrian theory of interest is universally recognized -- just as the Austrian theory of value is recognized already.


Planning for Freedom, by Ludwig von Mises, Third (Memorial) Edition, Libertarian Press, South Holland (Ill.), 1974; pp. 6, 152. In the same volume the February 23, 1950, article from The Commercial and Financial Chronicle of the same title is reproduced, see p 83 ff.

The Anti-Capitalistic Mentality, by Ludwig von Mises, Libertarian Press, South Holland (Ill.), 1981, p 86-89.

The Tenth Pillar of Sound Money and Credit:The Principle of the Marginal Productivity of Capital and Labor, by A. E. Fekete (written in 1885), see: September, 2005,

The Nature and Sources of Interest, by A. E. Fekete, January 1, 2003, ibid.

The Pentagonal Model of Capital Markets, by A. E. Fekete, February 1, 2004, ibid.

The Hexagonal Model of Capital Markets, by A. E. Fekete, March 2, 2004, ibid.

Economic Aspects of the Pension Problem, by A. E. Fekete, January 3, 2010, ibid.

Note: Those who have read Part One of this Essay should go back and see important insertions on p 2 and 3

Calendar of Events

Cara Bahamas 2010 Conference, Lucaya Resort, Freeport, Grand Bahamas: January 15-20, 2010. Professor Fekete, Sunday, January 17, Hedging non-gold investments with gold. Further information from Cara Trading Advisors (Bahamas) Ltd.,,

Seminar at the Martineum Academy, Szombathely, Hungary, March 25-29, 2010

Professor Fekete on DVD: Professionally produced DVD recording of the address before the Economic Club of San Francisco on November 4, 2008, entitled The Revisionist History of the Great Depression: Can It Happen Again? plus an interview -- with Professor Fekete. It is available from and from the Club at $14.95 each.

By Professor Antal E. Fekete,
Intermountain Institute for Science and Applied Mathematics


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Copyright © 2010 Professor Antal E. Fekete
Professor Antal E. Fekete was born and educated in Hungary. He immigrated to Canada in 1956. In addition to teaching in Canada, he worked in the Washington DC office of Congressman W. E. Dannemeyer for five years on monetary and fiscal reform till 1990. He taught as visiting professor of economics at the Francisco Marroquin University in Guatemala City in 1996. Since 2001 he has been consulting professor at Sapientia University, Cluj-Napoca, Romania. In 1996 Professor Fekete won the first prize in the International Currency Essay contest sponsored by Bank Lips Ltd. of Switzerland. He also runs the Gold Standard University on this website.


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