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The Net Worth Trap: Investment and Output Dynamics in the Presence of Financing Constraints

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  • Jukka Isohätälä

    (Institute of Operations Research and Analytics, National University of Singapore, 3 Research Link, Innovation 4.0 04-01, Singapore 117602, Singapore)

  • Alistair Milne

    (School of Business and Economics, Loughborough University, Epinal Way, Loughborough LE11 3TU, UK)

  • Donald Robertson

    (Faculty of Economics, University of Cambridge, Cambridge CB3 9DD, UK)

Abstract

This paper investigates investment and output dynamics in a simple continuous time setting, showing that financing constraints substantially alter the relationship between net worth and the decisions of an optimizing firm. In the absence of financing constraints, net worth is irrelevant (the 1958 Modigliani–Miller irrelevance proposition applies). When incorporating financing constraints, a decline in net worth leads to the firm reducing investment and also output (when this reduces risk exposure). This negative relationship between net worth and investment has already been examined in the literature. The contribution here is providing new intuitive insights: (i) showing how large and long lasting the resulting non-linearity of firm behaviour can be, even with linear production and preferences; and (ii) highlighting the economic mechanisms involved—the emergence of shadow prices creating both corporate prudential saving and induced risk aversion. The emergence of such pronounced non-linearity, even with linear production and preference functions, suggests that financing constraints can have a major impact on investment and output; and this should be allowed for in empirical modelling of economic and financial crises (for example, the great depression of the 1930s, the global financial crisis of 2007–2008 and the crash following the Covid-19 pandemic of 2020).

Suggested Citation

  • Jukka Isohätälä & Alistair Milne & Donald Robertson, 2020. "The Net Worth Trap: Investment and Output Dynamics in the Presence of Financing Constraints," Mathematics, MDPI, vol. 8(8), pages 1-32, August.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1327-:d:396866
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    as
    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Alistair Milne & A Elizabeth Whalley, 1999. "Bank capital and risk taking," Bank of England working papers 90, Bank of England.
    3. Patrick Bolton & Hui Chen & Neng Wang, 2011. "A Unified Theory of Tobin's q, Corporate Investment, Financing, and Risk Management," Journal of Finance, American Finance Association, vol. 66(5), pages 1545-1578, October.
    4. Rampini, Adriano A. & Viswanathan, S., 2013. "Collateral and capital structure," Journal of Financial Economics, Elsevier, vol. 109(2), pages 466-492.
    5. Zhigu He & Arvind Krishnamurthy, 2012. "A Model of Capital and Crises," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 735-777.
    6. Mella-Barral, Pierre & Perraudin, William, 1997. "Strategic Debt Service," Journal of Finance, American Finance Association, vol. 52(2), pages 531-556, June.
    7. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    8. Zhiguo He & Arvind Krishnamurthy, 2013. "Intermediary Asset Pricing," American Economic Review, American Economic Association, vol. 103(2), pages 732-770, April.
    9. Andrea Gamba & Alexander Triantis, 2008. "The Value of Financial Flexibility," Journal of Finance, American Finance Association, vol. 63(5), pages 2263-2296, October.
    10. Greenwald, Bruce & Stiglitz, Joseph E & Weiss, Andrew, 1984. "Informational Imperfections in the Capital Market and Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 74(2), pages 194-199, May.
    11. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    12. Samu Peura & Jussi Keppo, 2006. "Optimal Bank Capital with Costly Recapitalization," The Journal of Business, University of Chicago Press, vol. 79(4), pages 2163-2202, July.
    13. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    14. Palazzo, Berardino, 2012. "Cash holdings, risk, and expected returns," Journal of Financial Economics, Elsevier, vol. 104(1), pages 162-185.
    15. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    16. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    17. Jacob A. Frenkel & Boyan Jovanovic, 1980. "On Transactions and Precautionary Demand for Money," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(1), pages 25-43.
    18. George M. Constantinides, 1976. "Stochastic Cash Management with Fixed and Proportional Transaction Costs," Management Science, INFORMS, vol. 22(12), pages 1320-1331, August.
    19. Myers, Stewart C., 1984. "Capital structure puzzle," Working papers 1548-84., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    20. Taksar, Michael I. & Zhou, Xun Yu, 1998. "Optimal risk and dividend control for a company with a debt liability," Insurance: Mathematics and Economics, Elsevier, vol. 22(1), pages 105-122, May.
    21. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
    22. Anderson, Ronald W & Sundaresan, Suresh, 1996. "Design and Valuation of Debt Contracts," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 37-68.
    23. Myers, Stewart C, 1984. "The Capital Structure Puzzle," Journal of Finance, American Finance Association, vol. 39(3), pages 575-592, July.
    24. Froot, Kenneth A & Scharfstein, David S & Stein, Jeremy C, 1993. "Risk Management: Coordinating Corporate Investment and Financing Policies," Journal of Finance, American Finance Association, vol. 48(5), pages 1629-1658, December.
    25. Mauer, David C & Triantis, Alexander J, 1994. "Interactions of Corporate Financing and Investment Decisions: A Dynamic Framework," Journal of Finance, American Finance Association, vol. 49(4), pages 1253-1277, September.
    26. Stewart C. Myers, 1984. "Capital Structure Puzzle," NBER Working Papers 1393, National Bureau of Economic Research, Inc.
    27. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    28. Bjarne Højgaard & Søren Asmussen & Michael Taksar, 2000. "Optimal risk control and dividend distribution policies. Example of excess-of loss reinsurance for an insurance corporation," Finance and Stochastics, Springer, vol. 4(3), pages 299-324.
    29. Mundaca, Gabriela & Oksendal, Bernt, 1998. "Optimal stochastic intervention control with application to the exchange rate," Journal of Mathematical Economics, Elsevier, vol. 29(2), pages 225-243, March.
    30. Merton H. Miller & Daniel Orr, 1966. "A Model of the Demand for Money by Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 413-435.
    31. Markus K. Brunnermeier & Yuliy Sannikov, 2014. "A Macroeconomic Model with a Financial Sector," American Economic Review, American Economic Association, vol. 104(2), pages 379-421, February.
    32. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    33. Rochet, Jean-Charles & Villeneuve, Stéphane, 2011. "Liquidity management and corporate demand for hedging and insurance," Journal of Financial Intermediation, Elsevier, vol. 20(3), pages 303-323, July.
    34. Ralf Korn, 1999. "Some applications of impulse control in mathematical finance," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(3), pages 493-518, December.
    35. Mark Gertler, 1992. "Financial Capacity and Output Fluctuations in an Economy with Multi-Period Financial Relationships," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 455-472.
    36. Radner, Roy & Shepp, Larry, 1996. "Risk vs. profit potential: A model for corporate strategy," Journal of Economic Dynamics and Control, Elsevier, vol. 20(8), pages 1373-1393, August.
    37. Asmussen, Soren & Taksar, Michael, 1997. "Controlled diffusion models for optimal dividend pay-out," Insurance: Mathematics and Economics, Elsevier, vol. 20(1), pages 1-15, June.
    38. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    39. Danielsson, Jon & Shin, Hyun Song & Zigrand, Jean-Pierre, 2004. "The impact of risk regulation on price dynamics," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 1069-1087, May.
    40. Bjarne Hø Jgaard & Michael Taksar, 1999. "Controlling Risk Exposure and Dividends Payout Schemes:Insurance Company Example," Mathematical Finance, Wiley Blackwell, vol. 9(2), pages 153-182, April.
    41. Jean Tirole, 2006. "The Theory of Corporate Finance," Post-Print hal-00173191, HAL.
    42. Andrea Gamba & Alexander J. Triantis, 2014. "Corporate Risk Management: Integrating Liquidity, Hedging, and Operating Policies," Management Science, INFORMS, vol. 60(1), pages 246-264, January.
    43. Milne, Alistair & Robertson, Donald, 1996. "Firm behaviour under the threat of liquidation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(8), pages 1427-1449, August.
    44. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    45. Hayne E. Leland., 1998. "Agency Costs, Risk Management, and Capital Structure," Research Program in Finance Working Papers RPF-278, University of California at Berkeley.
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