Economic bubble

An economic bubble (sometimes referred to as a speculative bubble, a market bubble, a price bubble, a financial bubble, a speculative mania or a balloon) is trade in an asset at a price or price range that strongly deviates from the corresponding asset's intrinsic value.[1][2][3] It could also be described as a situation in which asset prices appear to be based on implausible or inconsistent views about the future.[4]

Because it is often difficult to observe intrinsic values in real-life markets, bubbles are often conclusively identified only in retrospect, when a sudden drop in prices appears. Such a drop is known as a crash or a bubble burst. Both the boom and the burst phases of the bubble are examples of a positive feedback mechanism, in contrast to the negative feedback mechanism that determines the equilibrium price under normal market circumstances. Prices in an economic bubble can fluctuate erratically, and become impossible to predict from supply and demand alone.

While some economists deny that bubbles occur,[5] the cause of bubbles remains disputed by those who are convinced that asset prices often deviate strongly from intrinsic values. Many explanations have been suggested, and research has recently shown that bubbles may appear even without uncertainty,[6] speculation,[7] or bounded rationality.[8] In such cases, the bubbles may be argued to be rational, where investors at every point fully compensated for the possibility that the bubble might collapse by higher returns. These approaches require that the timing of the bubble collapse can only be forecast probabilistically and the bubble process is often modelled using a Markov switching model.[9][10] It has also been suggested that bubbles might ultimately be caused by processes of price coordination[11] or emerging social norms.[8]

Origin of term

A card from the South Sea Bubble

The term "bubble", in reference to financial crisis, originated in the 1711–1720 British South Sea Bubble, and originally referred to the companies themselves, and their inflated stock, rather than to the crisis itself. This was one of the earliest modern financial crises; other episodes were referred to as "manias", as in the Dutch tulip mania. The metaphor indicated that the prices of the stock were inflated and fragile – expanded based on nothing but air, and vulnerable to a sudden burst, as in fact occurred.

Some later commentators have extended the metaphor to emphasize the suddenness, suggesting that economic bubbles end "All at once, and nothing first, / Just as bubbles do when they burst,"[12] though theories of financial crises such as debt-deflation and the Financial Instability Hypothesis suggest instead that bubbles burst progressively, with the most vulnerable (most highly-leveraged) assets failing first, and then the collapse spreading throughout the economy.

Impact

The impact of economic bubbles is debated within and between schools of economic thought; they are not generally considered beneficial, but it's debated how harmful their formation and bursting is.

Within mainstream economics, many believe that bubbles cannot be identified in advance, cannot be prevented from forming, that attempts to "prick" the bubble may cause financial crisis, and that instead authorities should wait for bubbles to burst of their own accord, dealing with the aftermath via monetary policy and fiscal policy.

Within Austrian economics, economic bubbles are generally considered to have a negative impact on the economy because they tend to cause misallocation of resources into non-optimal uses; this forms the basis of Austrian business cycle theory.

Political economist Robert E. Wright argues that bubbles can be identified before the fact with high confidence.[13]

In addition, the crash which usually follows an economic bubble can destroy a large amount of wealth and cause continuing economic malaise; this view is particularly associated with the debt-deflation theory of Irving Fisher, and elaborated within Post-Keynesian economics.

A protracted period of low risk premiums can simply prolong the downturn in asset price deflation as was the case of the Great Depression in the 1930s for much of the world and the 1990s for Japan. Not only can the aftermath of a crash devastate the economy of a nation, but its effects can also reverberate beyond its borders.

Effect upon spending

Another important aspect of economic bubbles is their impact on spending habits. Market participants with overvalued assets tend to spend more because they "feel" richer (the wealth effect). Many observers quote the housing market in the United Kingdom, Australia, New Zealand, Spain and parts of the United States in recent times, as an example of this effect. When the bubble inevitably bursts, those who hold on to these overvalued assets usually experience a feeling of reduced wealth and tend to cut discretionary spending at the same time, hindering economic growth or, worse, exacerbating the economic slowdown.

In an economy with a central bank, the bank may therefore attempt to keep an eye on asset price appreciation and take measures to curb high levels of speculative activity in financial assets. This is usually done by increasing the interest rate (that is, the cost of borrowing money). (Historically, this is not the only approach taken by central banks. It has been argued [14] that they should stay out of it and let the bubble, if it is one, take its course.)

Possible causes

In the 1970s, excess monetary expansion after the U.S. came off the gold standard (August 1971) created massive commodities bubbles. These bubbles only ended when the U.S. Central Bank (Federal Reserve) finally reined in the excess money, raising federal funds interest rates to over 14%. The commodities bubble popped and prices of oil and gold, for instance, came down to their proper levels. Similarly, low interest rate policies by the U.S. Federal Reserve in the 2001–2004 are believed to have exacerbated housing and commodities bubbles. The housing bubble popped as subprime mortgages began to default at much higher rates than expected, which also coincided with the rising of the fed funds rate.

It has also been variously suggested that bubbles may be rational,[15] intrinsic,[16] and contagious.[17] To date, there is no widely accepted theory to explain their occurrence. Recent computer-generated agency models suggest excessive leverage could be a key factor in causing financial bubbles.[18]

Puzzlingly for some, bubbles occur even in highly predictable experimental markets, where uncertainty is eliminated and market participants should be able to calculate the intrinsic value of the assets simply by examining the expected stream of dividends.[6] Nevertheless, bubbles have been observed repeatedly in experimental markets, even with participants such as business students, managers, and professional traders. Experimental bubbles have proven robust to a variety of conditions, including short-selling, margin buying, and insider trading.[1]

While there is no clear agreement on what causes bubbles, there is evidence to suggest that they are not caused by bounded rationality or assumptions about the irrationality of others, as assumed by greater fool theory. It has also been shown that bubbles appear even when market participants are well-capable of pricing assets correctly.[8] Further, it has been shown that bubbles appear even when speculation is not possible[7] or when over-confidence is absent.[8]

Liquidity

One possible cause of bubbles is excessive monetary liquidity in the financial system, inducing lax or inappropriate lending standards by the banks, which makes markets vulnerable to volatile asset price inflation caused by short-term, leveraged speculation.[18] For example, Axel A. Weber, the former president of the Deutsche Bundesbank, has argued that "The past has shown that an overly generous provision of liquidity in global financial markets in connection with a very low level of interest rates promotes the formation of asset-price bubbles."[19]

According to the explanation, excessive monetary liquidity (easy credit, large disposable incomes) potentially occurs while fractional reserve banks are implementing expansionary monetary policy (i.e. lowering of interest rates and flushing the financial system with money supply); this explanation may differ in certain details according to economic philosophy. Those who believe the money supply is controlled exogenously by a central bank may attribute an 'expansionary monetary policy' to said bank and (should one exist) a governing body or institution; others who believe that the money supply is created endogenously by the banking sector may attribute such a 'policy' with the behavior of the financial sector itself, and view the state as a passive or reactive factor. This may determine how central or relatively minor/inconsequential policies like fractional reserve banking and the central bank's efforts to raise or lower short-term interest rates are to one's view on the creation, inflation and ultimate implosion of an economic bubble. Explanations focusing on interest rates tend to take on a common form, however: When interest rates are set excessively low, (regardless of the mechanism by which it is accomplished) investors tend to avoid putting their capital into savings accounts. Instead, investors tend to leverage their capital by borrowing from banks and invest the leveraged capital in financial assets such as stocks and real estate. Risky leveraged behavior like speculation and Ponzi schemes can lead to an increasingly fragile economy, and may also be part of what pushes asset prices artificially upward until the bubble pops.

But these [ongoing economic crises] aren’t just a series of unrelated accidents. Instead, what we’re seeing is what happens when too much money is chasing too few investment opportunities.

Paul Krugman[20]

Simply put, economic bubbles often occur when too much money is chasing too few assets, causing both good assets and bad assets to appreciate excessively beyond their fundamentals to an unsustainable level. Once the bubble bursts, the fall in prices causes the collapse of unsustainable investment schemes (especially speculative and/or Ponzi investments, but not exclusively so), which leads to a crisis of consumer (and investor) confidence that may result in a financial panic and/or financial crisis; if there is monetary authority like a central bank, it may be forced to take a number of measures in order to soak up the liquidity in the financial system or risk a collapse of its currency. This may involve actions like bailouts of the financial system, but also others that reverse the trend of monetary accommodation, commonly termed forms of 'contractionary monetary policy'.

Some of these measures may include raising interest rates, which tends to make investors become more risk averse and thus avoid leveraged capital because the costs of borrowing may become too expensive; others may include certain countermeasures that may be taken pre-emptively during periods of strong economic growth include having the central monetary authority increase capital reserve requirements and attempting to implement regulation that checks and/or prevents processes leading to over-expansion and excessive leveraging of debt. Ideally, such countermeasures lessen the impact of a downturn by strengthening financial institutions while the economy is strong.

Advocates of perspectives stressing the role of credit money in an economy often refer to (such) bubbles as "credit bubbles," and look at such measures of financial leverage as debt to GDP ratios to identify bubbles. Typically the collapse of any economic bubble results in an economic contraction termed (if less severe) a recession or (if more severe) a depression; what economic policies to follow in reaction to such a contraction is a hotly debated perennial topic of political economy.

The importance of liquidity was derived in a mathematical setting[21] and in an experimental setting[22][23] (see Section "Experimental and mathematical economics").

Social psychology factors

Greater fool theory

Main article: Greater fool theory

Greater fool theory states that bubbles are driven by the behavior of a perennially optimistic market participants (the fools) who buy overvalued assets in anticipation of selling it to other speculators (the greater fools) at a much higher price. According to this explanation, the bubbles continue as long as the fools can find greater fools to pay up for the overvalued asset. The bubbles will end only when the greater fool becomes the greatest fool who pays the top price for the overvalued asset and can no longer find another buyer to pay for it at a higher price. This theory is popular among laymen, but has not yet been fully confirmed by empirical research.[7][8]

Extrapolation

Extrapolation is projecting historical data into the future on the same basis; if prices have risen at a certain rate in the past, they will continue to rise at that rate forever. The argument is that investors tend to extrapolate past extraordinary returns on investment of certain assets into the future, causing them to overbid those risky assets in order to attempt to continue to capture those same rates of return.

Overbidding on certain assets will at some point result in uneconomic rates of return for investors; only then the asset price deflation will begin. When investors feel that they are no longer well compensated for holding those risky assets, they will start to demand higher rates of return on their investments.

Herding

Another related explanation used in behavioral finance lies in herd behavior, the fact that investors tend to buy or sell in the direction of the market trend.[24][25] This is sometimes helped by technical analysis that tries precisely to detect those trends and follow them, which creates a self-fulfilling prophecy.

Investment managers, such as stock mutual fund managers, are compensated and retained in part due to their performance relative to peers. Taking a conservative or contrarian position as a bubble builds results in performance unfavorable to peers. This may cause customers to go elsewhere and can affect the investment manager's own employment or compensation. The typical short-term focus of U.S. equity markets exacerbates the risk for investment managers that do not participate during the building phase of a bubble, particularly one that builds over a longer period of time. In attempting to maximize returns for clients and maintain their employment, they may rationally participate in a bubble they believe to be forming, as the risks of not doing so outweigh the benefits.[26]

Moral hazard

Moral hazard is the prospect that a party insulated from risk may behave differently from the way it would behave if it were fully exposed to the risk. A person's belief that they are responsible for the consequences of their own actions is an essential aspect of rational behavior. An investor must balance the possibility of making a return on their investment with the risk of making a loss – the risk-return relationship. A moral hazard can occur when this relationship is interfered with, often via government policy.

A recent example is the Troubled Asset Relief Program (TARP), signed into law by U.S. President George W. Bush on 3 October 2008 to provide a Government bailout for many financial and non-financial institutions who speculated in high-risk financial instruments during the housing boom condemned by a 2005 story in The Economist titled "The worldwide rise in house prices is the biggest bubble in history".[27] A historical example was intervention by the Dutch Parliament during the great Tulip Mania of 1637.

Other causes of perceived insulation from risk may derive from a given entity's predominance in a market relative to other players, and not from state intervention or market regulation. A firm – or several large firms acting in concert (see cartel, oligopoly and collusion) – with very large holdings and capital reserves could instigate a market bubble by investing heavily in a given asset, creating a relative scarcity which drives up that asset's price. Because of the signaling power of the large firm or group of colluding firms, the firm's smaller competitors will follow suit, similarly investing in the asset due to its price gains.

However, in relation to the party instigating the bubble, these smaller competitors are insufficiently leveraged to withstand a similarly rapid decline in the asset’s price. When the large firm, cartel or de facto collusive body perceives a maximal peak has been reached in the traded asset's price, it can then proceed to rapidly sell or "dump" its holdings of this asset on the market, precipitating a price decline that forces its competitors into insolvency, bankruptcy or foreclosure.

The large firm or cartel – which has intentionally leveraged itself to withstand the price decline it engineered – can then acquire the capital of its failing or devalued competitors at a low price as well as capture a greater market share (e.g., via a merger or acquisition which expands the dominant firm's distribution chain). If the bubble-instigating party is itself a lending institution, it can combine its knowledge of its borrowers’ leveraging positions with publicly available information on their stock holdings, and strategically shield or expose them to default.

Other possible causes

Some regard bubbles as related to inflation and thus believe that the causes of inflation are also the causes of bubbles. Others take the view that there is a "fundamental value" to an asset, and that bubbles represent a rise over that fundamental value, which must eventually return to that fundamental value. There are chaotic theories of bubbles which assert that bubbles come from particular "critical" states in the market based on the communication of economic factors. Finally, others regard bubbles as necessary consequences of irrationally valuing assets solely based upon their returns in the recent past without resorting to a rigorous analysis based on their underlying "fundamentals".

Net Result of a Bubble: The one true constant with all bubbles is that they create excess demand and production. Once the bubble deflates, which it always does, a contraction or consolidation has to occur to alleviate the excess. Two examples are the dot-com bubble and the current housing bubble. In both cases there were huge consolidations, bankruptcies, and deterioration of asset values.

Experimental and mathematical economics

Bubbles in financial markets have been studied not only through historical evidence, but also through experiments, mathematical and statistical works. Smith, Suchanek and Williams[6] designed a set of experiments in which an asset that gave a dividend with expected value 24 cents at the end of each of 15 periods (and were subsequently worthless) was traded through a computer network. Classical economics would predict that the asset would start trading near $3.60 (15 times $0.24) and decline by 24 cents each period. They found instead that prices started well below this fundamental value and rose far above the expected return in dividends. The bubble subsequently crashed before the end of the experiment. This laboratory bubble has been repeated hundreds of times in many economics laboratories in the world, with similar results.

The existence of bubbles and crashes in such a simple context was unsettling for the economics community that tried to resolve the paradox on various features of the experiments. To address these issues Porter and Smith[28] and others performed a series of experiments in which short selling, margin trading, professional traders all led to bubbles a fortiori.

Much of the puzzle has been resolved through mathematical modeling and additional experiments. In particular, starting in 1989, Gunduz Caginalp and collaborators[21][29] modeled the trading with two concepts that are generally missing in classical economics and finance. First, they assumed that supply and demand of an asset depended not only on valuation, but on factors such as the price trend. Second, they assumed that the available cash and asset are finite (as they are in the laboratory). This is contrary to the “infinite arbitrage” that is generally assumed to exist, and to eliminate deviations from fundamental value. Utilizing these assumptions together with differential equations, they predicted the following: (a) The bubble would be larger if there was initial undervaluation. Initially, “value-based” traders would buy the undervalued asset creating an uptrend, which would then attract the “momentum” traders and a bubble would be created. (b) When the initial ratio of cash to asset value in a given experiment was increased, they predicted that the bubble would be larger.

An epistemological difference between most microeconomic modeling and these works is that the latter offer an opportunity to test implications of their theory in a quantitative manner. This opens up the possibility of comparison between experiments and world markets.

These predictions were confirmed in experiments[22][23] that showed the importance of “excess cash” (also called liquidity, though this term has other meanings), and trend-based investing in creating bubbles. When price collars were used to keep prices low in the initial time periods, the bubble became larger. In experiments in which L= (total cash)/(total initial value of asset) were doubled, the price at the peak of the bubble nearly doubled. This provided valuable evidence for the argument that “cheap money fuels markets.”

Caginalp's asset flow differential equations provide a link between the laboratory experiments and world market data. Since the parameters can be calibrated with either market, one can compare the lab data with the world market data.

The asset flow equations stipulate that price trend is a factor in the supply and demand for an asset that is a key ingredient in the formation of a bubble. While many studies of market data have shown a rather minimal trend effect, the work of Caginalp and DeSantis[30] on large scale data adjusts for changes in valuation, thereby illuminating a strong role for trend, and providing the empirical justification for the modeling.

The asset flow equations have been used to study the formation of bubbles from a different standpoint in [31] where it was shown that a stable equilibrium could become unstable with the influx of additional cash or the change to a shorter time scale on the part of the momentum investors. Thus a stable equilibrium could be pushed into an unstable one, leading to a trajectory in price that exhibits a large “excursion” from either the initial stable point or the final stable point. This phenomenon on a short time scale may be the explanation for flash crashes.

Identifying asset bubbles

CAPE based on data from economist Robert Shiller's website, as of 8/4/2015. The 26.45 measure was 93rd percentile, meaning 93% of the time investors paid less for stocks overall relative to earnings.

Economic or asset price bubbles are often characterized by one or more of the following:

  1. Unusual changes in single measures, or relationships among measures (e.g., ratios) relative to their historical levels. For example, in the housing bubble of the 2000s, the housing prices were unusually high relative to income.[32] For stocks, the price to earnings ratio provides a measure of stock prices relative to corporate earnings; higher readings indicate investors are paying more for each dollar of earnings.[33]
  2. Elevated usage of debt (leverage) to purchase assets, such as purchasing stocks on margin or homes with a lower down payment.
  3. Higher risk lending and borrowing behavior, such as originating loans to borrowers with lower credit quality scores (e.g., subprime borrowers), combined with adjustable rate mortgages and "interest only" loans.
  4. Rationalizing borrowing, lending and purchase decisions based on expected future price increases rather than the ability of the borrower to repay.[34]
  5. Rationalizing asset prices by increasingly weaker arguments, such as "this time it's different" or "housing prices only go up."
  6. A high presence of marketing or media coverage related to the asset.
  7. Incentives that place the consequences of bad behavior by one economic actor upon another, such as the origination of mortgages to those with limited ability to repay because the mortgage could be sold or securitized, moving the consequences from the originator to the investor.
  8. International trade (current account) imbalances, resulting in an excess of savings over investments, increasing the volatility of capital flow among countries. For example, the flow of savings from Asia to the U.S. was one of the drivers of the 2000s housing bubble.[35]
  9. A lower interest rate environment, which encourages lending and borrowing.[36]

Examples of bubbles and purported bubbles

Other goods which have produced bubbles include postage stamps and coin collecting.

Examples of aftermaths of bubbles

See also

References

  1. 1 2 King, Ronald R.; Smith, Vernon L.; Williams, Arlington W.; van Boening, Mark V. (1993). "The Robustness of Bubbles and Crashes in Experimental Stock Markets". In Day, R. H.; Chen, P. Nonlinear Dynamics and Evolutionary Economics. New York: Oxford University Press. ISBN 0-19-507859-4.
  2. ↑ Lahart, Justin (16 May 2008). "Bernanke's Bubble Laboratory, Princeton Protégés of Fed Chief Study the Economics of Manias". The Wall Street Journal. p. A1.
  3. ↑ Shiller, Robert (23 July 2012). "Bubbles without Markets". Project Syndicate. Retrieved 17 August 2012. A speculative bubble is a social epidemic whose contagion is mediated by price movements. News of price increase enriches the early investors, creating word-of-mouth stories about their successes, which stir envy and interest. The excitement then lures more and more people into the market, which causes prices to increase further, attracting yet more people and fueling 'new era' stories, and so on, in successive feedback loops as the bubble grows.
  4. ↑ Krugman, Paul (9 May 2013). "Bernanke, Blower of Bubbles?". New York Times. Retrieved 10 May 2013.
  5. ↑ Garber, Peter (2001). Famous First Bubbles: The Fundamentals of Early Manias. Cambridge, MA: MIT Press. ISBN 0-262-57153-6.
  6. 1 2 3 Smith, Vernon L.; Suchanek, Gerry L.; Williams, Arlington W. (1988). "Bubbles, Crashes, and Endogenous Expectations in Experimental Spot Asset Markets". Econometrica 56 (5): 1119–1151. doi:10.2307/1911361. JSTOR 1911361.
  7. 1 2 3 Lei, Vivian; Noussair, Charles N.; Plott, Charles R. (2001). "Nonspeculative Bubbles in Experimental Asset Markets: Lack of Common Knowledge of Rationality Vs. Actual Irrationality". Econometrica 69 (4): 831. doi:10.1111/1468-0262.00222.
  8. 1 2 3 4 5 Levine, Sheen S.; Zajac, Edward J. (27 June 2007). "The Institutional Nature of Price Bubbles". SSRN 960178.
  9. ↑ Brooks, Chris; Katsaris, Apostolos (2005). "A three-regime model of speculative behaviour: modelling the evolution of the S&P 500 composite index". The Economic Journal 115 (505): 767–797. doi:10.1111/j.1468-0297.2005.01019.x. ISSN 1468-0297.
  10. ↑ Brooks, Chris; Katsaris, Apostolos (2005). "Trading rules from forecasting the collapse of speculative bubbles for the S&P 500 composite index". Journal of Business 78 (5): 2003–2036. doi:10.1086/431450. ISSN 0740-9168.
  11. ↑ Hommes, Cars; Sonnemans, Joep; Tuinstra, Jan; Velden, Henk van de (2005). "Coordination of Expectations in Asset Pricing Experiments". Review of Financial Studies 18 (3): 955–980. doi:10.1093/rfs/hhi003.
  12. ↑ Quote from The Deacon's Masterpiece or The One-Hoss Shay, by Oliver Wendell Holmes, Sr.
  13. ↑ Robert E. Wright, Fubarnomics: A Lighthearted, Serious Look at America's Economic Ills (Buffalo, N.Y.: Prometheus, 2010), 51–52.
  14. ↑ http://www.gold-eagle.com/editorials/cscb001.html
  15. ↑ Garber, Peter M. (1990). "Famous First Bubbles". The Journal of Economic Perspectives 4 (2): 35–54. doi:10.1257/jep.4.2.35.
  16. ↑ Froot, Kenneth A.; Obstfeld, Maurice (1991). "Intrinsic Bubbles: The Case of Stock Prices". American Economic Review 81: 1189–1214. doi:10.3386/w3091.
  17. ↑ Topol, Richard (1991). "Bubbles and Volatility of Stock Prices: Effect of Mimetic Contagion". The Economic Journal 101 (407): 786–800. doi:10.2307/2233855. JSTOR 2233855.
  18. 1 2 Buchanan, Mark (19 July 2008). "Why economic theory is out of whack". New Scientist. Retrieved 15 December 2008.
  19. ↑ Weber Says ECB Has Used Room to Cut Interest Rates
  20. ↑ Krugman, Paul (August 24, 2015). "A Movable Glut". New York Times. Retrieved August 24, 2015.
  21. 1 2 Caginalp, G.; Balenovich, D. (1999). "Asset flow and momentum: deterministic and stochastic equations". Philosophical Transactions of the Royal Society A 357 (1758): 2119–2133. doi:10.1098/rsta.1999.0421.
  22. 1 2 Caginalp, G.; Porter, D.; Smith, V.L. (1998). "Initial cash/asset ratio and asset prices: an experimental study". Proceedings of the National Academy of Sciences 95 (2): 756–761. doi:10.1073/pnas.95.2.756.
  23. 1 2 Caginalp, G.; Porter, D.; Smith, V.L. (2001). "Financial Bubbles: Excess Cash, Momentum and Incomplete Information". J. Psychology and Financial Markets 2 (2): 80–99. doi:10.1207/S15327760JPFM0202_03.
  24. ↑ Harmon D, Lagi M, de Aguiar MAM, Chinellato DD, Braha D, Epstein IR, et al. (2015). “Anticipating Economic Market Crises Using Measures of Collective Panic.” PLoS ONE 10(7): e0131871.doi:10.1371/journal.pone.0131871.
  25. ↑ Brandon Keim. (2011). “Possible Early Warning Sign for Market Crashes.” Wired, 03.18.11. http://www.wired.com/2011/03/market-panic-signs/
  26. ↑ Blodget-The Atlantic-Why Wall St. Always Blows It
  27. ↑ "In come the waves: The worldwide rise in house prices is the biggest bubble in history. Prepare for the economic pain when it pops.". The Economist. 16 June 2005. The worldwide rise in house prices is the biggest bubble in history. Prepare for the economic pain when it pops.
  28. ↑ Porter, D.; Smith, V. L. (1994). "Stock market bubbles in the laboratory". Applied Mathematical Finance 1 (2): 111–128. doi:10.1080/13504869400000008.
  29. ↑ Caginalp, G.; Ermentrout, G. B. (1990). "A kinetic thermodynamics approach to the psychology of fluctuations in financial markets". Applied Mathematics Letters 4 (4): 17–19. doi:10.1016/0893-9659(90)90038-D.
  30. ↑ Caginalp, G.; DeSantis, M. (2011). "Stock Price Dynamics: Nonlinear Trend, Volume, Volatility, Resistance and Money Supply". Quantitative Finance 11 (6): 849–861. doi:10.1080/14697680903220356.
  31. ↑ Caginalp, G.; DeSantis, M.; Swigon, D. (July 2011). "Are flash crashes caused by instabilities arising from rapid trading?". Wilmott Magazine 11: 46–47.
  32. ↑ Bloomberg-Barry Ritholz-How do you define a bubble and are we in one now? December 2013
  33. ↑ NYT-David Leonhardt-Stocks are Expensive-August 2015
  34. ↑ Levy Institute-Hyman Minsky-the Financial Instability Hypothesis-May 1992
  35. ↑ NYT-Paul Krugman-A Movable Glut-August 24, 2015
  36. ↑ Financial Crisis Inquiry Commission-Report Conclusions-Retrieved 8/23/2015
  37. ↑ "Historical Rhodium Charts". Kitco. Retrieved 19 February 2010.

Further reading

External links

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