Consumer default and optimal consumption decisions

Bechlioulis, Alexandros and Brissimis, Sophocles (2014): Consumer default and optimal consumption decisions.

Abstract

We examine the optimal consumption decisions of households in a micro-founded framework that assumes two financial frictions: heterogeneity between borrowing and saving households, and endogenous default. We study default in the context of two-period overlapping processes of consumer behavior, assuming that penalty costs are imposed on borrowers if they are delinquent in the first period and are subsequently refinanced by banks. The utility function of borrowing households is specified to include a term reflecting strategic decisions as regards non-payment of debt. From the solution of the household optimization problem, we derive an augmented Euler equation for consumption, which is a function inter alia of an expected default factor. We use this equation to calculate in a static equilibrium the optimal value of the percentage of debt repaid. We finally provide an ordering by size of the household discount factor: borrowers who do not repay all of their loans have the lowest discount factor, followed in turn by borrowers who fully repay them and by savers.

• Item Type: MPRA Paper
• Language: English
• Keywords: borrowing household; saving household; household behavior; consumer default; optimal consumption
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E21 - Consumption ; Saving ; Wealth

References

Abraham-Frois, G., Berrebi, E., 1997. Prices, Profits and Rhythms of Accumulation. Cambridge: Cambridge University Press.

Agenor, P-R., Alper, K., da Silva, L. P., 2013. Capital regulation, monetary policy, and financial stability.International Journal of Central Banking 9 (3), 193-238.

Athreya, K., Sanchez, J. M., Tam, X. S., Young, E. R., 2012. Bankruptcy and delinquency in a model of unsecured debt. Federal Reserve Bank of St. Louis Working Paper 42.

Baltensperger, E., 1975. Uncertainty, risk of default and the savings-consumption decision. Zeitschrift für Nationalökonomie 35, 89-97.

Barro, R. J., Sala-i-Martin, X., 2004. Economic Growth, (2nd ed.). Cambridge MA: MIT Press.

Besanko, D., Thakor, A. V., 1987. Competitive equilibrium in the credit market under asymmetric information. Journal of Economic Theory 42, 167-182.

Chang, G., 2005. Asset prices and default-free term structure in an equilibrium model of default. Journal of Business 78, 997-1022.

Chatterjee, S., Corbae, D., Nakajima, M., Rios-Rull, J. V., 2007. A quantitative theory of unsecured consumer credit with risk of default. Econometrica 75, 1525-1589.

de Walque, G., Pierrard, O., Rouabah, A., 2010. Financial (in)stability, supervision and liquidity injections: A dynamic general equilibrium approach. Economic Journal 120, 1234-1261.

Dubey, P., Geanakoplos, J., Shubik, M., 2005. Default and punishment in general equilibrium. Econometrica 73, 1-37.

Einav, L., Jenkins, M., Levin, J., 2012. Contract pricing in consumer credit markets. Econometrica 80, 1387–1432.

Etro, F., 2009. Endogenous Market Structures and the Macroeconomy. New York and Berlin: Springer.

Fuhrer, J. C., Rudebusch, G. D., 2004. Estimating the Euler equation for output. Journal of Monetary Economics 51, 1133-1153.

Gali, J., 2008. Monetary Policy, Inflation, and the Business Cycle. Princeton: Princeton University Press.

Gelain, P., Lansing, K. J., Mendicino, C., 2013. House prices, credit growth, and excess volatility: Implications for monetary and macroprudential policy. International Journal of Central Banking 9 (June) 219-276.

Glick, R., Lansing, K. J., 2009. U.S. household deleveraging and future consumption growth. FRBSF Economic Letter. May 15.

Glick, R., Lansing, K. J., 2010. Global household leverage, house prices, and consumption. FRBSF Economic Letter. January 11.

Goodhart, C., Hofmann, B., 2005. The IS curve and the transmission of monetary policy: is there a puzzle? Applied Economics 37, 29-36.

Goodhart, C.A.E., Osorio, C., Tsomocos, D.P., 2009. Analysis of monetary policy and financial stability: A new paradigm. CESifo, Working Paper 2885.

Guiso, L., Sapienza, P., Zingales, L., 2009. Moral and social constraints to strategic default on mortgages. NBER Working Paper No. 15145.

Guerrieri, L., Iacoviello, M., 2013. Collateral constraints and macroeconomic asymmetries. Board of Governors of the Federal Reserve System, International Finance Discussion Paper No. 1082.

Huber, J., Shubik, M., Sunder, S., 2012. Default penalty as a selection mechanism among multiple equilibria. Cowles Foundation for Research in Economics, Yale University, Discussion Paper No. 1730R.

Iacoviello, M., 2005. House prices, borrowing constraints, and monetary policy in the business cycle. American Economic Review 95, 739-764.

Kannan, P., Rabanal, P., Scott, A., 2012. Monetary and macroprudential policy rules in a model with house price booms. The B.E. Journal of Macroeconomics 12 (1), Article 16, 1-44.

Manove, M., Padilla, A. J., Pagano, M., 2001. Collateral versus project screening: A model of lazy banks. RAND Journal of Economics 32, 726-744.

Mian, A. R., Sufi, A., 2010. Household leverage and the recession of 2007 to 2009. NBER Working Paper 15896.

Romer, D., 2012. Advanced Macroeconomics (4th ed.). New York: McGraw-Hill.

Roszbach, K., 2004. Bank lending policy, credit scoring and the survival of loans. Review of Economics and Statistics 86, 946-958.

Suh, H., 2013. Macroprudential policy: its effects and relationship to monetary policy. Federal Reserve Bank of Philadelphia, Working Paper No. 12-28.

Suh, H., 2014. Dichotomy between macroprudential policy and monetary policy on credit and inflation. Economics Letters 122, 144-149.

Tobin, J., 1980. Asset Accumulation and Economic Activity: Reflections on Contemporary Macroeconomic Theory. Chicago: University of Chicago Press.

Wälde, K., 2011. Applied Intertemporal Optimization. Mainz: Gutenberg Press.

Walsh, C. E., 2010. Monetary Theory and Policy (3th ed.). Cambridge MA: MIT Press.

Wieland, V., Wolters, M., (2013). Forecasting and Policy Making. In: Elliott, G., Timmermann, A., (Eds). Handbook of Economic Forecasting, Vol. 2A. Elsevier: Oxford, pp. 239-325.