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Credit and inflation under borrower’s lack of commitment

  • Antonia Diaz

    ()

  • Fernando Perera-Tallo

Here we investigate the existence of credit in a cash-in-advance economy where there are complete markets but for the fact that agents cannot commit to repay their debts. Defectors are banned from the credit market but they can use money balances for saving purposes. Without uncertainty, deflation crowds out credit completely. The equilibrium allocation, however, is efficient if the government deflates at the time preference rate. Efficiency can also be restored with positive inflation. For any non negative inflation rate below the optimal level, the volume of credit and the real interest rate increase with inflation. Our results hold when idiosyncratic uncertainty is introduced and households are sufficiently impatient but in one instance: efficiency cannot be restored if the deflation rate is nearby the rate of time preference. Our numerical examples suggest that the optimal inflation rate is not too large for reasonable levels of patience and risk aversion. Finally, we present a framework where the use of money arises endogenously and show that it is tantamount to our cash-in-advance framework. Our results hold in this modified environment.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we077946.

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Date of creation: Nov 2007
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Handle: RePEc:cte:werepe:we077946
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  1. Diaz, Antonia & Pijoan-Mas, Josep & Rios-Rull, Jose-Victor, 2003. "Precautionary savings and wealth distribution under habit formation preferences," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1257-1291, September.
  2. S. Rao Aiyagari & Stephen D. Williamson, 1998. "Money and Dynamic Credit Arrangements with Private Information," Game Theory and Information 9802002, EconWPA.
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  13. Cole, Harold L & Kocherlakota, Narayana R, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 523-42, July.
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  15. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
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  17. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  18. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
  19. Akyol, Ahmet, 2004. "Optimal monetary policy in an economy with incomplete markets and idiosyncratic risk," Journal of Monetary Economics, Elsevier, vol. 51(6), pages 1245-1269, September.
  20. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
  21. Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2004. "Heterogeneity, Redistribution, and the Friedman Rule," Staff General Research Papers 11371, Iowa State University, Department of Economics.
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