×

Prices, debt and market structure in an agent-based model of the financial market. (English) Zbl 1402.91947

Summary: We develop an agent-based model in which heterogeneous and boundedly rational agents interact by trading a risky asset at an endogenously set price. Agents are endowed with balance sheets comprising the risky asset as well as cash on the asset side and equity capital as well as debt on the liabilities side. A number of findings emerge when simulating the model: we find that the empirically observable log-normal distribution of bank balance sheet size naturally emerges and that higher levels of leverage lead to a greater inequality among agents. Furthermore, greater leverage increases the frequency of bankruptcies and systemic events. Credit frictions, which we define as the stickiness of debt adjustments, are able to explain a key difference in the relation between leverage and assets observed for different bank types. Lowering credit frictions leads to an increasingly procyclical behavior of leverage, which is typical for investment banks. Nevertheless, the impact of credit frictions on the fragility of the model financial system is complex. Lower frictions do increase the stability of the system most of the time, while systemic events become more probable. In particular, we observe an increasing frequency of severe liquidity crises that can lead to the collapse of the entire model financial system.

MSC:

91G80 Financial applications of other theories
91B69 Heterogeneous agent models

References:

[1] Adrian, T.; Moench, E.; Shin, H., Macro risk premium and intermediary balance sheet quantities, IMF Econ. Rev., 58, 1, 179-207, (2010)
[2] Adrian, T.; Shin, H. S., Liquidity and leverage, J. Financ. Intermed., 19, 3, 418-437, (2010)
[3] Allen, F.; Gale, D., Financial contagion, J. Polit. Econ., 108, 1, 1-33, (2000)
[4] Axtell, R. L., Zipf distribution of U.S. firm sizes, Science, 293, 5536, 1818-1820, (2001)
[5] Battiston, S.; Gatti, D. D.; Gallegati, M.; Greenwald, B.; Stiglitz, J. E., Default cascadeswhen does risk diversification increase stability?, J. Financ. Stab., 8, 3, 138-149, (2012)
[6] Bernanke, B.; Gertler, M., Agency costs, net worth, and business fluctuations, Am. Econ. Rev., 79, 1, 14-31, (1989)
[7] Brock, W.; Lakonishok, J.; LeBaron, B., Simple technical trading rules and the stochastic properties of stock returns, J. Finance, 47, 5, 1731-1764, (1992)
[8] Brock, W. A.; Hommes, C. H., Heterogeneous beliefs and routes to chaos in a simple asset pricing model, J. Econ. Dyn. Control, 22, 8-9, 1235-1274, (1998) · Zbl 0913.90042
[9] Brunnermeier, M.; Pedersen, L., Market liquidity and funding liquidity, Rev. Financ. Stud., 22, 6, 2201-2238, (2009)
[10] Campbell, J.Y., Viceira, L.M., 2002. Strategic Asset Allocation: Portfolio Choice for Long-Term Investors. Number 9780198296942 in OUP Catalogue. Oxford University Press, Oxford.
[11] Chiarella, C.; Dieci, R.; He, X.-Z., Heterogeneity, market mechanisms, and asset price dynamics, (Hens, T.; Schenk-Hoppé, K. R., Handbook of Financial Markets, (2009), North-Holland San Diego), 277-344
[12] Chiarella, C.; He, X.-Z.; Hommes, C., A dynamic analysis of moving average rules, J. Econ. Dyn. Control, 30, 9-10, 1729-1753, (2006) · Zbl 1162.91474
[13] Chinazzi, M., Fagiolo, G., 2013. Systemic Risk, Contagion, and Financial Networks: A Survey. SSRN Working Papers. Available at 〈http://ssrn.com/abstract=2243504 15479〉.
[14] Colander, D.; Goldberg, M.; Haas, A.; Kirman, A.; Juselius, K.; Sloth, B.; Lux, T., The financial crisis and the systemic failure of Academic economics, (2009), Wiley Online Library New York
[15] Cont, R., Empirical properties of asset returnsstylised facts and statistical issues, Quant. Finance, 1, 223-236, (2001) · Zbl 1408.62174
[16] Cowell, F., 2000. Measurement of inequality. In: Atkinson, A., Bourguignon, F. (Eds.), Handbook of Income Distribution, vol. 1, Elsevier, pp. 87-166 (Chapter 2).
[17] Curdia, V.; Woodford, M., Credit spreads and monetary policy, J. Money Credit Bank., 42, s1, 3-35, (2010)
[18] Diamond, D. W.; Dybvig, P. H., Bank runs, deposit insurance, and liquidity, J. Polit. Econ., 91, 3, 401-419, (1983) · Zbl 1341.91135
[19] Diamond, D.W., Rajan, R.G., 2001. Banks, short-term debt and financial crises: theory, policy implications and applications. In: Carnegie-Rochester Conference Series on Public Policy, vol. 54, no. 1, pp. 37-71.
[20] Ennis, H. M., On the size distribution of banks, Econ. Quart. (Fall), 1-25, (2001)
[21] Evans, M.; Hastings, N. A.J.; Peacock, J. B., Statistical distributions, (2000), Wiley New York · Zbl 0960.62001
[22] Fagiolo, G.; Roventini, A., Macroeconomic policy in dsge and agent-based models, Revue de l׳OFCE, 0, 5, 67-116, (2012)
[23] Farmer, J.; Geanakoplos, J., The virtues and vices of equilibrium and the future of financial economics, Complexity, 14, 3, 11-38, (2009)
[24] Farmer, J.; Joshi, S., The price dynamics of common trading strategies, J. Econ. Behav. Organ., 49, 2, 149-171, (2002)
[25] Fisher, I., The debt-deflation theory of great depressions, Econometrica, 1, 4, 337-357, (1933)
[26] Friedman, M., 2000, 1953. Essays in Positive Economics. University of Chicago Press, Chicago.
[27] Gai, P.; Haldane, A.; Kapadia, S., Complexity, concentration and contagion, J. Monet. Econ., 58, 5, 453-470, (2011)
[28] Geanakoplos, J., 2009. The leverage cycle. Cowles Foundation Discussion Papers 1715, Cowles Foundation for Research in Economics, Yale University, New Haven.
[29] Georg, C.-P., 2010. The Effect of the Interbank Network Structure on Contagion and Financial Stability. Global Financial Markets Working Paper series 12-2010. Friedrich-Schiller-University Jena.
[30] Georg, C.-P., The effect of the interbank network structure on contagion and common shocks, J. Bank. Financ., 37, 7, 2216-2228, (2013), http://dx.doi.org/10.1016/j.jbankfin.2013.02.032
[31] Gertler, M., Kiyotaki, N., 2010. Financial intermediation and credit policy in business cycle analysis. In: Handbook of Monetary Economics, vol. 3, pp. 547-599.
[32] Goodhart, C.A.E., Tsomocos, D.P., 2011. The Role of Default in Macroeconomics. IMES Discussion Paper series 11 E 23, Institute for Monetary and Economic Studies, Bank of Japan, Tokyo.
[33] Gropp, R.; Heider, F., The determinants of bank capital structure, Rev. Finance, 14, 4, 587-622, (2010)
[34] He, X.-Z.; Li, Y., Power-law behaviour, heterogeneity, and trend chasing, J. Econ. Dyn. Control, 31, 10, 3396-3426, (2007) · Zbl 1163.91530
[35] Hommes, C.; Wagener, F., Complex evolutionary systems in behavioral finance, (Hens, T.; Schenk-Hoppé, K. R., Handbook of Financial Markets, (2009), North-Holland San Diego), 217-276
[36] Hommes, C.H., 2006. Heterogeneous agent models in economics and finance. In: Tesfatsion, L., Judd, K.L. (Eds.), Handbook of Computational Economics, vol. 2, Elsevier, San Diego. pp. 1109-1186 (Chapter 23).
[37] Iori, G.; Jafarey, S.; Padilla, F. G., Systemic risk on the interbank market, J. Econ. Behav. Organ., 61, 4, 525-542, (2006)
[38] Janicki, H.P., Prescott, E.S., 2006. Changes in the size distribution of U.S. Banks: 1960-2005. Econ. Quart. (Fall), 291-316.
[39] Kirman, A., The economic crisis is a crisis for economic theory, CESifo Econ. Stud., 56, 4, 498-535, (2010)
[40] Kiyotaki, N.; Moore, J., Credit cycles, J. Polit. Econ., 105, 2, 211-248, (1997)
[41] Ladley, D., Contagion and risk-sharing on the inter-bank market, J. Econ. Dyn. Control, 37, 7, 1384-1400, (2013) · Zbl 1402.91850
[42] LeBaron, B., 2006. Agent-based computational finance. In: Handbook of Computational Economics, vol. 2, pp. 1187-1233. · Zbl 1143.91300
[43] LeBaron, B., 2010. Heterogeneous Gain Learning and Long Swings in Asset Prices. Working Papers 10, Brandeis University, Department of Economics and International Business School, Waltham.
[44] LeBaron, B.; Arthur, W. B.; Palmer, R., Time series properties of an artificial stock market, J. Econ. Dyn. Control, 23, 9-10, 1487-1516, (1999) · Zbl 0959.91017
[45] Leijonhufvud, A., Out of the corridorkeynes and the crisis, Camb. J. Econ., 33, 4, 741-757, (2009)
[46] Lengnick, M.; Wohltmann, H.-W., Agent-based financial markets and new Keynesian macroeconomicsa synthesis, J. Econ. Interact. Coord., 8, 1, 1-32, (2013)
[47] Lenzu, S.; Tedeschi, G., Systemic risk on different interbank network topologies, Phys. A: Stat. Mech. Appl., 391, 18, 4331-4341, (2012)
[48] Lo, A. W.; Mamaysky, H.; Wang, J., Foundations of technical analysiscomputational algorithms, statistical inference, and empirical implementation, J. Finance, 55, 4, 1705-1770, (2000)
[49] Lux, T., Stochastic behavioral asset-pricing models and the stylized facts, (Hens, T.; Schenk-Hoppé, K. R., Handbook of Financial Markets, (2009), North-Holland San Diego), 161-215
[50] Lux, T.; Marchesi, M., Volatility clustering in financial marketsa microsimulation of interacting agents, Int. J. Theoret. Appl. Finance, 3, 4, 675-702, (2000) · Zbl 0967.91072
[51] Manski, C. F.; McFadden, D., Structural analysis of discrete data with econometric applications, (1981), MIT Press Cambridge, MA · Zbl 0504.00023
[52] Markose, S.; Giansante, S.; Shaghaghi, A. R., ‘too interconnected to fail’ financial network of us cds markettopological fragility and systemic risk, J. Econ. Behav. Organ., 83, 3, 627-646, (2012)
[53] Menkhoff, L.; Taylor, M. P., The obstinate passion of foreign exchange professionalstechnical analysis, J. Econ. Lit., 45, 4, 936-972, (2007)
[54] Minsky, H. P., Stabilizing an unstable economy: A twentieth century fund report, (1986), Yale University Press New Haven
[55] Nier, E.; Yang, J.; Yorulmazer, T.; Alentorn, A., Network models and financial stability, J. Econ. Dyn. Control, 31, 6, 2033-2060, (2007) · Zbl 1201.91245
[56] Raberto, M.; Teglio, A.; Cincotti, S., Debt, deleveraging and business cyclesan agent-based perspective, Economics—The Open-Access, Open-Assessment E-Journal, 6, 27, 1-49, (2012)
[57] Scheffknecht, L., Geiger, F., 2011. A Behavioral Macroeconomic Model with Endogenous Boom-Bust Cycles and Leverage Dynamics. Discussion Paper 37-2011.
[58] Shleifer, A.; Vishny, R. W., Liquidation values and debt capacitya market equilibrium approach, J. Finance, 47, 4, 1343-1366, (1992)
[59] Sornette, D., 2007. Probability Distributions in Complex Systems. arXiv preprint arXiv:0707.2194, 1-27.
[60] Stiglitz, J. E., Rethinking macroeconomicswhat failed, and how to repair it, J. Eur. Econ. Assoc., 9, 4, 591-645, (2011)
[61] Sutton, J., Gibrat׳s legacy, J. Econ. Lit., 35, 1, 40-59, (1997)
[62] Tasca, P., Battiston, S., 2013. Market Procyclicality and Systemic Risk. Working Papers ETH-RC-12-012, ETH Zurich, Chair of Systems Design, Zurich. · Zbl 1400.91640
[63] Thurner, S.; Farmer, J. D.; Geanakoplos, J., Leverage causes fat tails and clustered volatility, Quant. Finance, 12, 5, 695-707, (2012) · Zbl 1278.91154
[64] Westerhoff, F., 2011. Interactions between the real economy and the stock market. Technical report, University of Bamberg, Bamberg Economic Research Group on Government and Growth, Bamberg. · Zbl 1248.91071
[65] Westerhoff, F.; Dieci, R., The effectiveness of Keynes tobin transaction taxes when heterogeneous agents can trade in different marketsa behavioral finance approach, J. Econ. Dyn. Control, 30, 2, 293-322, (2006) · Zbl 1198.91162
[66] Westerhoff, F. H., The use of agent-based financial market models to test the effectiveness of regulatory policies, J. Econ. Stat. (J. Nationaloekonom. Stat.), 228, 2+3, 195-227, (2008)
[67] Winker, P.; Gilli, M.; Jeleskovic, V., An objective function for simulation based inference on exchange rate data, J. Econ. Int. Coord., 2, 2, 125-145, (2007)
[68] Zigrand, J.-P., Shin, H.S., Danielsson, J., 2010. Risk Appetite and Endogenous Risk. FMG Discussion Papers dp647, Financial Markets Group, London.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.