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A General Equilibrium Model with Banks and Default on Loans

  • Tamon Takamura
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    During the recent financial crisis in the U.S., banks reduced new business lending amidst concerns about borrowers’ ability to repay. At the same time, firms facing higher borrowing costs alongside a worsening economic outlook reduced investment. To explain these aggregate business cycle patterns, I develop a model with households, banks and firms. I assume that a bank’s ability to raise deposits is constrained by a limited commitment problem and that, furthermore, loans to firms involve default risk. In this environment, changes in loan rates affect the size of the business sector. I explore how banks influence the behavior of households and firms and find that both productivity and financial shocks lead to counter-cyclical default and interest rate spreads. I examine the implications of a government capital injection designed to mitigate the effect of negative productivity and financial shocks in the spirit of the Troubled Asset Relief Program (TARP). I find that the stabilizing effect of such policy interventions hinges on the source of the shock. In particular, a capital injection is less effective against aggregate productivity shocks because easing banks’ lending stance only weakly stimulates firms’ demand for loans when aggregate productivity falls. In contrast, a capital injection can counteract the adverse effect of financial shocks on the supply of loans. Finally, I measure aggregate productivity and financial shocks to evaluate the role of each in the business cycle. I find that the contribution of aggregate productivity shocks in aggregate output and investment is large until mid-2008. Financial shocks explain 65% of the fall in investment and 55% of the fall in output in the first quarter of 2009.

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    Paper provided by Bank of Canada in its series Working Papers with number 13-3.

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    Length: 43 pages
    Date of creation: 2013
    Date of revision:
    Handle: RePEc:bca:bocawp:13-3
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    1. Holmström, Bengt & Tirole, Jean, 1994. "Financial Intermediation, Loanable Funds and the Real Sector," IDEI Working Papers 40, Institut d'Économie Industrielle (IDEI), Toulouse.
    2. Carlstrom, Charles T & Fuerst, Timothy S, 1997. "Agency Costs, Net Worth, and Business Fluctuations: A Computable General Equilibrium Analysis," American Economic Review, American Economic Association, vol. 87(5), pages 893-910, December.
    3. Ivashina, Victoria & Scharfstein, David, 2010. "Bank lending during the financial crisis of 2008," Journal of Financial Economics, Elsevier, vol. 97(3), pages 319-338, September.
    4. Aubhik Khan & Julie K. Thomas, 2003. "Inventories and the business cycle: an equilibrium analysis of (S,s) policies," Staff Report 329, Federal Reserve Bank of Minneapolis.
    5. Lukas Schmid & Joao Gomes, 2009. "Equilibrium Credit Spreads and the Macroeconomy," 2009 Meeting Papers 1109, Society for Economic Dynamics.
    6. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    7. Césaire Meh & Kevin Moran, 2008. "The Role of Bank Capital in the Propagation of Shocks," Working Papers 08-36, Bank of Canada.
    8. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
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