Luo, Yulei and Young, Eric (2014): Induced Uncertainty, Market Price of Risk, and the Dynamics of Consumption and Wealth.
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Abstract
In this paper we examine implications of model uncertainty due to robustness (RB) for consumption and saving and the market price of uncertainty under limited information-processing capacity (rational inattention or RI). We first solve the robust permanent income models with inattentive consumers and show that RI by itself creates an additional demand for robustness that leads to higher "induced uncertainty" facing consumers. Second, we explore how the induced uncertainty composed of (i) model uncertainty due to RB and (ii) state uncertainty due to RI, affects consumption-saving decisions and the market price of uncertainty. We find that induced uncertainty can better explain the observed market price of uncertainty -- low attention increases the effect of model mis-specification. We also show the observational equivalence between RB and risk-sensitivity (RS) in environment.
Item Type: | MPRA Paper |
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Original Title: | Induced Uncertainty, Market Price of Risk, and the Dynamics of Consumption and Wealth |
Language: | English |
Keywords: | Robust Control and Filtering, Rational Inattention, Induced Uncertainty, Market Prices of Uncertainty. |
Subjects: | D - Microeconomics > D8 - Information, Knowledge, and Uncertainty D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E21 - Consumption ; Saving ; Wealth |
Item ID: | 57111 |
Depositing User: | Yulei Luo |
Date Deposited: | 05 Jul 2014 06:16 |
Last Modified: | 02 Oct 2019 07:35 |
References: | [1] Aguiar, Mark and Gita Gopinath (2007), "Emerging Market Business Cycles: The Cycle Is the Trend," Journal of Political Economy 115(1), 69-102. [2] Anderson, Evan W., Lars Peter Hansen, and Thomas J. Sargent (2003), "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection." Journal of the European Economic Association 1(1), 68-123. [3]Backus, David K., Bryan R. Routledge, and Stanley E. Zin (2004), "Exotic Preferences for Macroeconomists," NBER Macroeconomics Annual 2004, 319-414. [4] Blundell Richard, Luigi Pistaferri, and Ian Preston (2008), "Consumption Inequality and Partial Insurance," American Economic Review 98(5), 1887-1921. [5] Caballero, Ricardo (1990), "Consumption Puzzles and Precautionary Savings," Journal of Monetary Economics 25(1), 113-136. [6] Cagetti, Marco, Lars Peter Hansen, Thomas J. Sargent, and Noah Williams (2002), "Robustness and Pricing with Uncertain Growth," Review of Financial Studies 15, 363-404. [7] Campbell, John (2003), "Consumption-Based Asset Pricing," in George Constantinides, Milton Harris, and Rene Stultz (eds.), Handbook of the Economics of Finance Volume 1B, Amsterdam: North-Holland, 803-887. [8] Campbell, John and Angus Deaton (1989), "Why is Consumption So Smooth?" Review of Economic Studies 56(3), 357-374. [9] Chen, Zengjing and Larry Epstein (2002), "Ambiguity, Risk, and Asset Returns in Continuous Time, " Econometrica 70(4), 1403-1443. [10] Epstein, Larry G. and Tan Wang (1994), "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica 62(2), 283-322. [11] Epstein, Larry G. and Stanley E. Zin (1989), "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica 57(4), 937-969. [12] Hall, Robert E (1978), "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy 86(6), 971-987. [13] Hansen, Lars Peter (1987), "Calculating Asset Prices in Three Example Economies," in Bewley, Truman F. (ed.), Advances in Econometrics, Fifth World Congress, Cambridge University Press. [14] Hansen, Lars Peter and Thomas J. Sargent (1995), "Discounted Linear Exponential Quadratic Gaussian Control," IEEE Transactions on Automatic Control 40, 968-971. [15] Hansen, Lars Peter and Thomas J. Sargent (2005), "Robust Estimation and Control under Commitment," Journal of Economic Theory 124(9), 258-301. [16] Hansen, Lars Peter and Thomas J. Sargent (2007), Robustness, Princeton University Press. [17] Hansen, Lars Peter, Thomas J. Sargent, and Thomas D. Tallarini, Jr. (1999), "Robust Permanent Income and Pricing," Review of Economic Studies 66(4), 873-907. [18] Hansen, Lars Peter, Thomas J. Sargent, and Neng Wang (2002) "Robust Permanent Income and Pricing with Filtering," Macroeconomic Dynamics 6(1), 40-84. [19] Jacobson, David H. (1973), "Optimal Stochastic Linear Systems with Exponential Performance Criteria and Their Relation to Deterministic Differential Games," IEEE Transactions on Automatic Control 18, 124-131. [20] Ju, Nengjiu and Jianjun Miao (2012), "Ambiguity, Learning, and Asset Returns," Econometrica 80(2), 559--591. [21] Kasa, Kenneth (2006), "Robustness and Information Processing," Review of Economic Dynamics 9(1), 1-33. [22] Luo, Yulei (2008), "Consumption Dynamics under Information Processing Constraints," Review of Economic Dynamics 11(2), 366-385. [23] Luo, Yulei and Eric R. Young (2010), "Risk-Sensitive Consumption and Savings under Rational Inattention," American Economic Journal: Macroeconomics 2(4), 281-325. [24] Luo, Yulei, Jun Nie, and Eric R. Young (2012), "Robustness, Information-Processing Constraints, and the Current Account in Small Open Economies," Journal of International Economics 88(1), 104-120. [25] Maccheroni, Fabio, Massimo Marinacci, and Aldo Rustichini (2006), "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica 74(6), 1447-1498. [26] Maenhout, Pascal J. (2004), "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies 17(4), 951-983. [27] Moore, John B., Robert J. Elliott, and Subhrakanti Dey (1997), "Risk-Sensitive Generalizations of Minimum Variance Estimation and Control," Journal of Mathematical Systems, Estimation, and Control 7(1), 1-15. [28] Sargent, Thomas J. (1978), "Rational Expectations, Econometric Exogeneity, and Consumption," Journal of Political Economy 86(4), 673-700. [29] Shafieepoorfard, Ehsan and Maxim Raginsky (2013), "Rational Inattention in Scalar LQG Control," Proceedings of the IEEE Conference on Decision and Control 52, 5733-5739. [30] Sims, Christopher A. (2003), "Implications of Rational Inattention," Journal of Monetary Economics 50(3), 665-690. [31] Sims, Christopher A. (2010), "Rational Inattention and Monetary Economics," in Friedman, Benjamin J. and Michael Woodford (eds.), Handbook of Monetary Economics, 155-181. [32] Strzalecki, Tomasz (2011), "Axiomatic Foundations of Multiplier Preferences," Econometrica 79, 47-73. [33] Sun, Yeneng (2006), "The Exact Law of Large Numbers via Fubini Extension and Characterization of Insurable Risks," Journal of Economic Theory 126(1), 31-69. [34] Wang, Neng (2003), "Caballero Meets Bewley: The Permanent-Income Hypothesis in General Equilibrium," American Economic Review 93(3), 927-936. [35] Whittle, Peter (1990), Risk-Sensitive Optimal Control, John Wiley and Sons. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/57111 |