Schmidt, Lawrence and Toda, Alexis Akira (2015): Do You Save More or Less in Response to Bad News? A New Identification of the Elasticity of Intertemporal Substitution.
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Abstract
We define the elasticity of intertemporal substitution (EIS) for general recursive preferences and identify a sharp comparative static from a general dynamic portfolio choice problem. In the homothetic case, if the EIS is smaller (larger) than 1, an investor will increase (decrease) current consumption in response to bad news about the future. Examples of bad news include if (i) she becomes more risk averse, (ii) investment opportunities shrink, (iii) investment returns become riskier, or (iv) she becomes more uncertain about the distribution of returns. Bad news effectively raises the price of future continuation utility, which produces the same qualitative changes in savings rates as lowering the interest rate.
Item Type: | MPRA Paper |
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Original Title: | Do You Save More or Less in Response to Bad News? A New Identification of the Elasticity of Intertemporal Substitution |
Language: | English |
Keywords: | elasticity of intertemporal substitution, optimal portfolio problem, recursive preference |
Subjects: | D - Microeconomics > D9 - Intertemporal Choice > D91 - Intertemporal Household Choice ; Life Cycle Models and Saving E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E21 - Consumption ; Saving ; Wealth G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions |
Item ID: | 78983 |
Depositing User: | Alexis Akira Toda |
Date Deposited: | 08 May 2017 02:55 |
Last Modified: | 28 Sep 2019 21:25 |
References: | Rui Albuquerque, Martin S. Eichenbaum, and Sergio Rebelo. Valuation risk and asset pricing. NBER Working Paper, 2012. Orazio P. Attanasio and Guglielmo Weber. Consumption growth, the interest rate and aggregation. Review of Economic Studies, 60(3):631-649, July 1993. Ravi Bansal and Amir Yaron. Risks for the long run: A potential resolution of asset pricing puzzles. Journal of Finance, 59(4):1481-1509, August 2004. Paul Beaudry and Eric van Wincoop. The intertemporal elasticity of substitution: An exploration using a US panel of state data. Economica, 63(251):495-512, August 1996. Jason Beeler and John Y. Campbell. The long-run risks model and aggregate asset prices: An empirical assessment. Critical Finance Review, 1(1):141-182, 2012. Michael Carlos Best, James Cloyne, Ethan Ilzetzki, and Henrik Jacobsen Kleven. Interest rates, debt and intertemporal allocation: Evidence from notched mortgage contracts in the United Kingdom. Staff Working Paper 543, Bank of England, 2015. John Y. Campbell. Consumption-based asset pricing. In George M. Constantinides, Milton Harris, and Ren\'e M. Stultz, editors, Handbook of the Economics of Finance, volume 1B, chapter 13, pages 803-887. Elsevier, Amsterdam, 2003. John Y. Campbell and N. Gregory Mankiw. Consumption, income, and interest rates: Reinterpreting the time series evidence. In Olivier Blanchard and Stanley Fischer, editors, NBER Macroeconomics Annual, volume 4, pages 185-246. MIT Press, Cambridge, MA, 1989. Christopher Dixon Carroll. Death to the log-linearized consumption Euler equation! (and very poor health to the second-order approximation). Advances in Macroeconomics, 1(1), 2001. David Cashin and Takashi Ueyama. Measuring intertemporal substitution in consumption: Evidence from a VAT increase in Japan. Review of Economics and Statistics, 98(2):285-297, May 2016. Mariano Massimiliano Croce. Long-run productivity risk: A new hope for production-based asset pricing? Journal of Monetary Economics, 66:13-31, September 2014. Itamar Drechsler and Amir Yaron. What's vol got to do with it. Review of Financial Studies, 24(1):1-45, 2011. Larry G. Epstein and Martin Schneider. Recursive multiple-priors. Journal of Economic Theory, 113(1):1-31, November 2003. Larry G. Epstein and Stanley E. Zin. Substitution, risk aversion, and the temporal behavior of consumption and asset returns: A theoretical framework. Econometrica, 57(4):937-969, July 1989. Nicolae Garleanu and Stavros Panageas. Young, old, conservative, and bold: The implications of heterogeneity and finite lives for asset pricing. Journal of Political Economy, 123(3):670-685, June 2015. Itzhak Gilboa and David Schmeidler. Maxmin expected utility with non-unique prior. Journal of Mathematical Economics, 18(2):141-153, 1989. Jonathan Gruber. A tax-based estimate of the elasticity of intertemporal substitution. Quarterly Journal of Finance, 3(1):1350001, 2013. Fatih Guvenen. Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective. Journal of Monetary Economics, 53(7):1451-1472, October 2006. Nils H. Hakansson. Optimal investment and consumption strategies under risk for a class of utility functions. Econometrica, 38(5):587-607, September 1970. Nils H. Hakansson. Optimal entrepreneurial decisions in a completely stochastic environment. Management Science, 17(7):427-449, March 1971. Robert E. Hall. Intertemporal substitution in consumption. Journal of Political Economy, 96(2):339-357, April 1988. Lars Peter Hansen and Kenneth J. Singleton. Stochastic consumption, risk aversion, and the temporal behavior of asset returns. Journal of Political Economy, 91(2):249-265, April 1983. Tomas Havranek, Roman Horvath, Zuzana Irsova, and Marek Rusnak. Cross-country heterogeneity in intertemporal substitution. Journal of International Economics, 96(1):100-118, May 2015. Tomas Havranek. Measuring intertemporal substitution: The importance of method choices and selective reporting. Journal of the European Economic Association, 13(6):1180-1204, December 2015. Takashi Hayashi. Intertemporal substitution, risk aversion, and ambiguity aversion. Economic Theory, 25(4):933-956, 2005. Takashi Hayashi and Jianjun Miao. Intertemporal substitution and recursive smooth ambiguity preferences. Theoretical Economics, 6(3):423-472, September 2011. Nengjiu Ju and Jianjun Miao. Ambiguity, learning, and asset returns. Econometrica, 80(2):559-591, March 2012. Georg Kaltenbrunner and Lars A. Lochstoer. Long-run risk through consumption smoothing. Review of Financial Studies, 23(8):3190-3224, 2010. David M. Kreps and Evan L. Porteus. Temporal resolution of uncertainty and dynamic choice theory. Econometrica, 46(1):185-200, January 1978. David Levhari and T. N. Srinivasan. Optimal savings under uncertainty. Review of Economic Studies, 36(2):153-163, April 1969. Sydney C. Ludvigson and Christina Paxson. Approximation bias in linearized Euler equations. Review of Economics and Statistics, 83(2):242-256, 2001. N. Gregory Mankiw and Stephen P. Zeldes. The consumption of stockholders and nonstockholders. Journal of Financial Economics, 29(1):97-112, March 1991. Robert C. Merton. Lifetime portfolio selection under uncertainty: The continuous-time case. Review of Economics and Statistics, 51(3):247-257, August 1969. Casey B Mulligan. Capital, interest, and aggregate intertemporal substitution. NBER Working Paper, 2002. Edmund S. Phelps. The accumulation of risky capital: A sequential utility analysis. Econometrica, 30(4):729-743, October 1962. John W. Pratt. Risk aversion in the small and in the large. Econometrica, 32(1-2):122-136, January-April 1964. Michael Rothschild and Joseph E. Stiglitz. Increasing risk II: Its economic consequences. Journal of Economic Theory, 3(1):66-84, March 1971. Paul A. Samuelson. Lifetime portfolio selection by dynamic stochastic programming. Review of Economics and Statistics, 51(3):239-246, August 1969. Agnar Sandmo. The effect of uncertainty on saving decisions. Review of Economic Studies, 37(3):353-360, July 1970. Lawrence D. W. Schmidt. Climbing and falling off the ladder: Asset pricing implications of labor market event risk. 2014. Alexis Akira Toda. Incomplete market dynamics and cross-sectional distributions. Journal of Economic Theory, 154:310-348, November 2014. Annette Vissing-Jorgensen. Limited asset market participation and the elasticity of intertemporal substitution. Journal of Political Economy, 110(4):825-853, August 2002. Philippe Weil. The equity premium puzzle and the risk-free rate puzzle. Journal of Monetary Economics, 24(3):401-421, November 1989. Motohiro Yogo. Estimating the elasticity of intertemporal substitution when instruments are weak. Review of Economics and Statistics, 86(3):797-810, August 2004. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/78983 |