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Incomplete Markets and Volatility

  • Laurent E. Calvet

This paper shows that the precautionary motive, combined with asset incompleteness, is a major source of volatility and indeterminacy in financial markets. Price fluctuations originate from agents' efforts to insure themselves through time by borrowing and lending instead of shifting income across states of nature by trading in risky assets. A high interest rate at a future date reduces the potential for future consumption smoothing across time via borrowing, leading to a strong precautionary motive and a low interest rate in the current period. The negative feedback between future and current interest rates generates fluctuations. This logic is developed in SPEC, a CARA-normal model with many periods, risky time-dependent endowments, and endogenous interest rates. Unlike existing frameworks, SPEC allows us to analyze the effect of financial structure on temporal fluctuations along a given path. In equilibrium, individual consumption is random, but the macro variables are deterministic and vary through time. When there is an intermediate level of market incompleteness and sufficient investor impatience, fluctuations in the real interest rate can be large, even though the aggregate endowment is constant. SPEC has a unique equilibrium under a finite horizon; on the other hand, with a finite number of infinitely-lived agents, there exists a robust continuum of equilibria that are neither bubbles nor sunspots.

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Paper provided by Harvard - Institute of Economic Research in its series Harvard Institute of Economic Research Working Papers with number 1865.

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Date of creation: 1999
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Handle: RePEc:fth:harver:1865
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  1. Grandmont, Jean-Michel, 2008. "Nonlinear difference equations, bifurcations and chaos: An introduction," Research in Economics, Elsevier, vol. 62(3), pages 122-177, September.
  2. Levine, David K., 1989. "Infinite horizon equilibrium with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 357-376, September.
  3. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
  4. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February.
  5. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
  6. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  7. Magill, M. & Quinzii, M., 1992. "Infinite Horizon Incomplete Markets," Papers 413a, California Davis - Institute of Governmental Affairs.
  8. Magill, M. & Quinzii, M., 1993. "Icomplete Markets Over an Infinite Horizon: Long-Lived Securities and Speculative Bubbles," Papers 9321, Southern California - Department of Economics.
  9. Deneckere, Raymond & Pelikan, Steve, 1986. "Competitive chaos," Journal of Economic Theory, Elsevier, vol. 40(1), pages 13-25, October.
  10. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-57, May.
  11. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
  12. Kimball, Miles S. & Mankiw, N. Gregory, 1989. "Precautionary Saving and the Timing of Taxes," Scholarly Articles 3443105, Harvard University Department of Economics.
  13. Mitra, Tapan, 1996. "An Exact Discount Factor Restriction for Period-Three Cycles in Dynamic Optimization Models," Journal of Economic Theory, Elsevier, vol. 69(2), pages 281-305, May.
  14. Bhattacharya, Joydeep & Guzman, Mark G. & Shell, Karl, 1998. "Price Level Volatility: A Simple Model of Money Taxes and Sunspots," Journal of Economic Theory, Elsevier, vol. 81(2), pages 401-430, August.
  15. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-87, June.
  16. Robert J. Shiller, 1980. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," NBER Working Papers 0456, National Bureau of Economic Research, Inc.
  17. Lucas, Deborah J., 1994. "Asset pricing with undiversifiable income risk and short sales constraints: Deepening the equity premium puzzle," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 325-341, December.
  18. Woodford, Michael & Santos, Manuel S., 1995. "Rational asset pricing bubbles," UC3M Working papers. Economics 3913, Universidad Carlos III de Madrid. Departamento de Economía.
  19. David Cass & Alessandro Citanna, 1998. "Pareto Improving Financial Innovation in Incomplete Markets," Post-Print hal-00479286, HAL.
  20. Chiappori, Pierre Andre & Guesnerie, Roger, 1991. "Sunspot equilibria in sequential markets models," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 32, pages 1683-1762 Elsevier.
  21. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
  22. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
  23. Clarida, Richard H, 1990. "International Lending and Borrowing in a Stochastic, Stationary Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 543-58, August.
  24. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  25. Sanford J Grossman & Joseph E Stiglitz, 1997. "On the Impossibility of Informationally Efficient Markets," Levine's Working Paper Archive 1908, David K. Levine.
  26. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
  27. S. Rao Aiyagari & Mark Gertler, 1990. "Asset Returns with Transactions Cost and Uninsured Risk: A Stage III Exercise," NBER Working Papers 3481, National Bureau of Economic Research, Inc.
  28. Telmer, Chris I, 1993. " Asset-Pricing Puzzles and Incomplete Markets," Journal of Finance, American Finance Association, vol. 48(5), pages 1803-32, December.
  29. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
  30. Jiang Wang, 1993. "A Model of Intertemporal Asset Prices Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 249-282.
  31. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  32. Hernandez D., Alejandro & Santos, Manuel S., 1996. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 102-130, October.
  33. Sibley, David S., 1975. "Permanent and transitory income effects in a model of optimal consumption with wage income uncertainty," Journal of Economic Theory, Elsevier, vol. 11(1), pages 68-82, August.
  34. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  35. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
  36. Detemple, Jerome B & Selden, Larry, 1991. "A General Equilibrium Analysis of Option and Stock Market Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 279-303, May.
  37. Mas-Colell, Andreu, 1991. "Indeterminacy in Incomplete Market Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 45-61, January.
  38. Sorger, Gerhard, 1992. "On the minimum rate of impatience for complicated optimal growth paths," Journal of Economic Theory, Elsevier, vol. 56(1), pages 160-179, February.
  39. Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-68, February.
  40. Scheinkman, Jose A & Weiss, Laurence, 1986. "Borrowing Constraints and Aggregate Economic Activity," Econometrica, Econometric Society, vol. 54(1), pages 23-45, January.
  41. Hakansson, Nils H, 1970. "Optimal Investment and Consumption Strategies Under Risk for a Class of Utility Functions," Econometrica, Econometric Society, vol. 38(5), pages 587-607, September.
  42. S Rao Aiyagari & Mark Gertler, 1997. "Asset Returns with transaction costs and uninsured individual risk," Levine's Working Paper Archive 648, David K. Levine.
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