A Theory of Inflation: The Law of Motion for Inflation under the MDC-based Procedure

Harashima, Taiji (2019): A Theory of Inflation: The Law of Motion for Inflation under the MDC-based Procedure.

Abstract

In this paper, I construct an inflation model in an economy where the government and households behave under a procedure based on the maximum degree of comfortability (MDC) to reach steady state. MDC indicates the state at which the combination of revenues and assets is felt most comfortable. I show that, if MDCs of the government and households are not consistent, inflation accelerates (or decelerates) because the government behaves to match the rate of increase of its real obligations with its MDC, but households and firms behave to match the real interest rate with household’s MDC. This inconsistency or contradiction must be resolved by acceleration (or deceleration) of inflation. To control inflation, therefore, a truly independent central bank is needed because MDC is a type of preference. The central bank can control the government’s MDC by forcing the government to increase its real obligations and thereby control inflation.

• Item Type: MPRA Paper
• Language: English
• Keywords: Capital-wage ratio; Deflation; Inflation acceleration; Law of motion for inflation; Monetary policies
• Subjects: E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E31 - Price Level ; Inflation ; Deflation; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E50 - General

References

Becker, Robert A. (1980) “On the Long-run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households,” The Quarterly Journal of Economics, Vol. 95, No. 2, pp. 375–382.

Buiter, Willem H. (2002) “The Fiscal Theory of the Price Level: A Critique,” Economic Journal, Vol. 122, pp. 459–480.

Buiter, Willem H. (2004) “A Small Corner of Intertemporal Public Finance–New Developments in Monetary Economics: Two Ghosts, Two Eccentricities, A Fallacy, A Mirage and A Mythos,” NBER Working Paper No. 10524.

Cochrane, John H. (1998a) “A Frictionless View of US Inflation,” NBER Macroeconomics Annual, Cambridge MA, MIT Press, pp. 323–384.

Cochrane, John H. (1998b) “Long-term Debt and Optimal Policy in the Fiscal Theory of the Price Level,” NBER Working Paper No. 6771.

Cochrane, John H. (2005) “Money as Stock: Price Level Determination with No Money Demand,” Journal of Monetary Economics. Vol. 52, No. 3, pp. 501–528.

Ellison, Martin and Joseph Pearlman (2011) “Saddlepath Learning,” Journal of Economic Theory, Vol. 146, No. 4, pp. 1500-1519.

Evans, George W. and Honkapohja, Seppo (2001) Learning and Expectations in Macroeconomics, Princeton and Oxford, Princeton University Press.

Fuhrer, Jeff (2006) “Intrinsic and Inherited Inflation Persistence,” International Journal of Central Banking, Vol. 2, No. 3, pp. 49-86.

Fuhrer, Jeff and George Moore (1995) “Inflation Persistence,” Quarterly Journal of Economics, Vol. 110, No. 1, pp. 127-159.

Galí, Jordi and Mark Gertler (1999) “Inflation Dynamics: A Structural Econometric Analysis,” Journal of Monetary Economics, Vo. 44, No. 2, pp. 195–222.

Galí, Jordi, Mark Gertler, and David López-Salido (2005) “Robustness of the estimates of the hybrid New Keynesian Phillips curve,” Journal of Monetary Economics, Vol. 52, No. 6, pp. 1107-1118.

Harashima, Taiji (2004)“The Ultimate Source of Inflation: A Microfoundation of the Fiscal Theory of the Price Level,” EconWPA Working Papers, ewp-mac/ 0409018.

Harashima, Taiji (2005) “The Cause of the Great Inflation: Interactions between Government and Monetary Policymakers,” EconWPA Working Papers, ewp-mac/0510026.

Harashima, Taiji. (2006) “The Sustainability of Budget Deficits in an Inflationary Economy,” MPRA (The Munich Personal RePEc Archive) Paper No. 1088.

Harashima, Taiji (2007a) “Why should central banks be independent?” MPRA (The Munich Personal RePEc Archive) Paper No. 1838.

Harashima, Taiji (2007b) “The Optimal Quantity of Money Consistent with Positive Nominal Interest Rates,” MPRA (The Munich Personal RePEc Archive) Paper No. 1839.

Harashima, Taiji. (2007c) “Hyperinflation, Disinflation, Deflation, etc.: A Unified and Micro-founded Explanation for Inflation,” MPRA (The Munich Personal RePEc Archive) Paper No. 3836.

Harashima, Taiji (2008) “A Microfounded Mechanism of Observed Substantial Inflation Persistence,” MPRA (The Munich Personal RePEc Archive) Paper No. 10668.

Harashima, Taiji (2010) “Sustainable Heterogeneity: Inequality, Growth, and Social Welfare in a Heterogeneous Population,” MPRA (The Munich Personal RePEc Archive) Paper No. 24233.

Harashima, Taiji (2012) “Sustainable Heterogeneity as the Unique Socially Optimal Allocation for Almost All Social Welfare Functions,” MPRA (The Munich Personal RePEc Archive) Paper No. 40938.

Harashima, Taiji (2013a) “The Optimal Quantity of Money Consistent with Positive Nominal Interest Rates,” in Japanese, Journal of Kanazawa Seiryo University, Vol. 46, No. 2, pp. 27-36. （原嶋　耐治「正の名目金利と整合的な最適貨幣量」、『金沢星稜大学論集』第46巻第2号27-36頁）.

Harashima, Taiji (2013b) “The Phillips Curve and a Micro-foundation of Trend Inflation,” Theoretical and Practical Research in Economic Fields, Vol. 4, No. 2, pp. 153-182.

Harashima, Taiji (2016a) “The Sustainability of Budget Deficits in an Inflationary Economy,” in Japanese, Journal of Kanazawa Seiryo University, Vol. 49, No. 2, pp. 107-115 （原嶋　耐治「「インフレ環境下における財政の持続可能性」、『金沢星稜大学論集』第49巻第2号107-115頁）.

Harashima, Taiji (2016b) “A Theory of Deflation: Can Expectations Be Influenced by a Central Bank?” Theoretical and Practical Research in Economic Fields, Vol. 7, No. 2, pp. 98-144.

Harashima, Taiji (2017) “Sustainable Heterogeneity: Inequality, Growth, and Social Welfare in a Heterogeneous Population,” in Japanese, Journal of Kanazawa Seiryo University, Vol. 51, No.1, pp. 31-80.（原嶋　耐治 「持続可能な非均質性―均質ではない構成員からなる経済における不平等、経済成長及び社会的厚生―」、『金沢星稜大学論集』第51巻第1号、31～80頁）

Harashima, Taiji. (2018a) “Do Households Actually Generate Rational Expectations? “Invisible Hand” for Steady State,” MPRA (The Munich Personal RePEc Archive) Paper No. 88822.

Harashima, Taiji (2018b) “Why Are Inflation and Real Interest Rates So Low? A Mechanism of Low and Floating Real Interest and Inflation Rates,” MPRA (The Munich Personal RePEc Archive) Paper No. 84311.

Harashima, Taiji (2018c) “Hyperinflation, Disinflation, Deflation, etc.: A Unified and Micro-founded Explanation for Inflation,” in Japanese, Journal of Kanazawa Seiryo University, Vol. 52, No. 1, pp. 41-68. （原嶋　耐治「ミクロ的基礎に立つインフレーションの統一的説明―超インフレーション、ディスインフレーション、デフレーション等―」、『金沢星稜大学論集』第52巻第1号41～68頁）.

Harashima, Taiji. (2019) “Do Households Actually Generate Rational Expectations? “Invisible Hand” for Steady State,” in Japanese, Journal of Kanazawa Seiryo University, Vol. 52, No. 2, pp. 49 - 70. （原嶋　耐治「家計は実際に合理的期待を形成して行動しているのか―定常状態への「見えざる手」―」、『金沢星稜大学論集』第52巻第2号 49～70頁）.

Kocherlakota, Narayana and Christopher Phelan (1999) “Explaining the fiscal theory of the price level,” Federal Reserve Bank of Minneapolis Quarterly Review, Vol. 23, No. 4, pp. 14–23.

Leeper, Eric (1991) “Equilibria under Active and Passive Monetary and Fiscal Policies,” Journal of Monetary Economics, Vol. 27, pp. 129–147.

Mankiw, Gregory (2001) “The Inexorable and Mysterious Tradeoff between Inflation and Unemployment,” The Economic Journal, Vol. 111, No. 471, pp. C45-C61

Marcet, Albert and Thomas J. Sargent (1989) “Convergence of Least Squares Learning Mechanisms in Self-referential Linear Stochastic Models,” Journal of Economic Theory, Vol. 48, No. 2, pp. 337-368.

McCallum, Bennett T. (2001) “Indeterminacy, Bubbles, and the Fiscal Theory of Price Level Determination,” Journal of Monetary Economics, Vol. 47, pp. 19–30.

McCallum, Bennett T. (2003) “Is The Fiscal Theory of the Price Level Learnable?” Scottish Journal of Political Economy, Vol. 50, pp. 634-49.

Niepelt, Dirk (2004) “The Fiscal Myth of the Price Level,” The Quarterly Journal of Economics, Vol. 119, pp. 276-99.

Sargent, Thomas J. and Neil Wallace (1981) "Some Unpleasant Monetarist Arithmetic", Federal Reserve Bank. of Minneapolis Quarterly Review, Vol. 5 No. 3.

Sims, Christopher A. (1994) “A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy,” Economic Theory, Vol.4, pp. 381–399.

Sims, Christopher A. (1998) “Econometric implications of the government budget constraint,” Journal of Econometrics, Vol. 83, pp. 9–19.

Sims, Christopher A. (2001) “Fiscal Consequence for Mexico Adopting the Dollar,” Journal of Money, Credit and Banking, Vol. 23, pp. 597–625.

Woodford, Michael. (1995) “Price Level Determinacy without Control of a Monetary Aggregate,” Carnegie-Rochester Conference Series on Public Policy, Vol. 43, pp. 1–46.

Woodford, Michael (2001) “Fiscal Requirements for Price Stability,” Journal of Money, Credit and Banking, Vol. 33, pp. 669–728.