Ding, Qiushuo and Luo, Yulei and Wang, Gaowang (2026): Optimal Monetary Policy with Confounding Information.
Preview |
PDF
MPRA_paper_128146.pdf Download (535kB) | Preview |
Abstract
We develop a model of optimal monetary policy in an economy where firms' price-setting decisions are distorted by a signal-extraction problem: they cannot perfectly distinguish aggregate from idiosyncratic shocks based on noisy local information. This systematic misattribution of aggregate nominal disturbances to firm-specific factors generates an additional indirect price response, implying that strict price stability is no longer optimal. Instead, the optimal policy fully stabilizes the output gap, which necessarily requires accommodating fluctuations in the price level. The cyclicality of the optimal price level depends critically on the source of firms' incomplete information: learning from local demand signals implies a procyclical price level, whereas learning from local productivity signals yields a countercyclical one. We show that these results are robust to extensions featuring elastic attention and sentiment shocks.
| Item Type: | MPRA Paper |
|---|---|
| Original Title: | Optimal Monetary Policy with Confounding Information |
| Language: | English |
| Keywords: | Optimal monetary policy, Idiosyncratic shock, Confounding information, Price stability |
| Subjects: | D - Microeconomics > D8 - Information, Knowledge, and Uncertainty E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit |
| Item ID: | 128146 |
| Depositing User: | Gaowang Wang |
| Date Deposited: | 15 Apr 2026 07:10 |
| Last Modified: | 15 Apr 2026 07:11 |
| References: | Adam, Klaus (2007) “Optimal Monetary Policy with Imperfect Common Knowledge,” Journal of Monetary Economics, 54 (2), 267–301. Amador, Manuel and Pierre-Olivier Weill (2010) “Learning from Prices: Public Communication and Welfare,” Journal of Political Economy, 118 (5), 866–907. Andrade, Philippe, Olivier Coibion, Erwan Gautier, and Yuriy Gorodnichenko (2022) “No Firm Is an Island? How Industry Conditions Shape Firms’ Expectations,” Journal of Monetary Economics, 125, 40–56. Angeletos, George-Marios, Luigi Iovino, and Jennifer La’O (2016) “Real Rigidity, Nominal Rigidity, and the Social Value of Information,” American Economic Review, 106 (1), 200–227. Angeletos, George-Marios, Luigi Iovino, and Jennifer La’O (2020) “Learning over the Business Cycle: Policy Implications,” Journal of Economic Theory, 190, 105115. Angeletos, George-Marios and Jennifer La’O (2010) “Noisy Business Cycles,” NBER Macroeconomics Annual, 24, 319–378. Angeletos, George-Marios and Jennifer La’O (2013) "Sentiments,” Econometrica, 81 (2), 739–779. Angeletos, George-Marios and Jennifer La’O (2020) “Optimal Monetary Policy with Informational Frictions,” Journal of Political Economy, 128 (3), 1027–1064. Angeletos, George-Marios and Alessandro Pavan (2009) “Policy with Dispersed Information,” Journal of the European Economic Association, 7 (1), 11–60. Ball, Laurence, N. Gregory Mankiw, and Ricardo Reis (2005) “Monetary Policy for Inattentive Economies,” Journal of Monetary Economics, 52 (4), 703–725. Benhabib, Jess, Xuewen Liu, and Pengfei Wang (2016) “Endogenous Information Acquisition and Countercyclical Uncertainty,” Journal of Economic Theory, 165, 601–642. Benhabib, Jess, Pengfei Wang, and Yi Wen (2015) “Sentiments and Aggregate Demand Fluctuations,” Econometrica, 83 (2), 549–585. Benhabib, Jess, Pengfei Wang, and Yi Wen (2017) “Uncertainty and Sentiment-Driven Equilibria,” in Kazuo Nishimura, Alain Venditti, and Nicholas C. Yannelis eds. Sunspots and Non-Linear Dynamics: Essays in Honor 32 of Jean-Michel Grandmont, 281–304, Cham: Springer International Publishing Benhima, Kenza and Isabella Blengini (2020) “Optimal Monetary Policy When Information Is Market-Generated,” The Economic Journal, 130 (628), 956–975. Bergemann, Dirk, Tibor Heumann, and Stephen Morris (2015) “Information and Volatility,” Journal of Economic Theory, 158, 427–465. Blanchard, Olivier and Jordi Galí (2007) “Real Wage Rigidities and the New Keynesian Model,”Journal of Money, Credit and Banking, 39 (s1), 35–65. Candia, Bernardo, Olivier Coibion, and Yuriy Gorodnichenko (2024) “The Inflation Expectations of U.S. Firms: Evidence from a New Survey,” Journal of Monetary Economics, 145, 103569. Chahrour, Ryan and Gaetano Gaballo (2021) “Learning from House Prices: Amplification and Business Fluctuations,” The Review of Economic Studies, 88 (4), 1720–1759. Chahrour, Ryan and Robert Ulbricht (2023) “Robust Predictions for DSGE Models with Incomplete Information,” American Economic Journal: Macroeconomics, 15 (1), 173–208. Choi, Yongok, Giacomo Rondina, and Todd B. Walker (2023) “Information Aggregation Bias and Samuelson’s Dictum,” Journal of Money, Credit and Banking, 55 (5), 1119–1145. Coibion, Olivier and Yuriy Gorodnichenko (2015) “Information Rigidity and the Expectations Formation Process: A Simple Framework and New Facts,” American Economic Review, 105 (8), 2644–2678. Coibion, Olivier, Yuriy Gorodnichenko, and Saten Kumar (2018) “How Do Firms Form Their Expectations? New Survey Evidence,” The American Economic Review, 108 (9), 2671–2713. Dovern, Jonas, Lena Sophia Müller, and Klaus Wohlrabe (2023) “Local Information and Firm Expectations about Aggregates,” Journal of Monetary Economics, 138, 1–13. Flynn, Joel P., Georgios Nikolakoudis, and Karthik Sastry (2024) “A Theory of Supply Function Choice and Aggregate Supply,” SSRN Scholarly Paper4490683, Social Science Research Network, Rochester, NY. Gaballo, Gaetano (2018) “Price Dispersion, Private Uncertainty, and Endogenous Nominal Rigidities,” The Review of Economic Studies, 85 (2), 1070–1110. Gondhi, Naveen (2023) “Rational Inattention, Misallocation, and the Aggregate Economy,” Journal of Monetary Economics, 136, 50–75. Goodfriend, Marvin (1992) “Information-Aggregation Bias,” The American Economic Review, 82 (3), 508–519. Hellwig, Christian and Venky Venkateswaran (2009) “Setting the Right Prices for the Wrong Reasons,” Journal of Monetary Economics, 56, S57–S77. Hellwig, Christian and Venky Venkateswaran (2025) “Dispersed Information, Nominal Rigidities and Monetary Business Cycles: A Hayekian Perspective,” Journal of Monetary Economics, 103843. Jia, Chengcheng (2025) “Forward Guidance under Imperfect Information,” Journal of Money, Credit and Banking, 57 (7), 1765–1791. Klenow, Peter J. and Benjamin A. Malin (2010) “Microeconomic Evidence on Price-Setting,” in Benjamin M. Friedman and Michael Woodford eds. Handbook of Monetary Economics, Vol. 3, 231–284. Llosa, Luis Gonzalo and Venky Venkateswaran (2022) “Efficiency Under Endogenous Information Choice: A Price-Setting Application,” Journal of the European Economic Association, 20 (4), 1619–1646. Lorenzoni, Guido (2009) “A Theory of Demand Shocks,” American Economic Review, 99 (5), 2050–2084. Lorenzoni, Guido (2010) “Optimal Monetary Policy with Uncertain Fundamentals and Dispersed Information,” The Review of Economic Studies, 77 (1), 305–338. Lucas, Robert E (1972) “Expectations and the Neutrality of Money,” Journal of Economic Theory, 4 (2), 103–124. Luo, Yulei, Jun Nie, Gaowang Wang, and Eric R. Young (2017) “Rational Inattention and the Dynamics of Consumption and Wealth in General Equilibrium,” Journal of Economic Theory, 172, 55–87. Maćkowiak, Bartosz and Mirko Wiederholt (2009) “Optimal Sticky Prices under Rational Inattention,” American Economic Review, 99 (3), 769–803. Maćkowiak, Bartosz and Mirko Wiederholt (2015) “Business Cycle Dynamics under Rational Inattention,” The Review of Economic Studies, 82 (4), 1502–1532. Nimark, Kristoffer P. (2014) “Man-Bites-Dog Business Cycles,” The American Economic Review, 104 (8), 2320–2367. Paciello, L. and M. Wiederholt (2014) “Exogenous Information, Endogenous Information, and Optimal Monetary Policy,” The Review of Economic Studies, 81 (1), 356–388. Pasten, Ernesto and Raphael Schoenle (2016) “Rational Inattention, Multi-Product Firms and the Neutrality of Money,” Journal of Monetary Economics, 80, 1–16. Pischke, Jorn-Steffen (1995) “Individual Income, Incomplete Information, and Aggregate Consumption,” Econometrica, 63 (4), 805-840. Powell, Jerome H. (2022) “Monetary Policy and Price Stability. Speech at the Federal Reserve Bank of Kansas City Economic Policy Symposium, Jackson Hole, WY, August 26, 2022.” Rostek, Marzena and Marek Weretka (2012) “Price Inference in Small Markets,” Econometrica, 80 (2), 687–711. Sims, Christopher A. (2010) “Rational Inattention and Monetary Economics,” in Handbook of Monetary Economics, Vol. 3, 155–181. Vives, Xavier (2011) “Strategic Supply Function Competition With Private Information,” Econometrica, 79 (6), 1919–1966. Vives, Xavier (2014) “On the Possibility of Informationally Efficient Markets,” Journal of the European Economic Association, 12 (5), 1200–1239. Woodford, Michael (2003) “Imperfect Common Knowledge and the Effects of Monetary Policy,” in Philippe Aghion, Roman Frydman, Joseph E. Stiglitz, and Michael Woodford eds. Knowledge, Information, and Expectations in Modern Macroeconomics: In Honor of Edmund S. Phelps, 25–58, Princeton: Princeton University Press. |
| URI: | https://mpra.ub.uni-muenchen.de/id/eprint/128146 |

