Gunaratna, Thakshila
(2014):
*Differences in monetary policies between two hypothetical closed economies:one which is concerned with avoiding a large negative output gap and the other which is not.*

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## Abstract

This research is focused on the effect of varying output gap target bounds on monetary policy. Here, a mathematical theory known as the ‘Viability Theory’ is employed to approach this problem in the context of satisficing policies, as discussed by Nobel Prize winning Herbert Simon, [see Simon (1955)]. A closed economy’s monetary policy problem of controlling inflation is considered to be this sort of satisficing policy problem. The viability theory is used to form viability kernels (using VIKAASA), which are a collection of points from which evolutions can start and remain within a certain constraint set K given some restricted controls, [see Krawczyk and Kim(2009)]. Using VIKAASA one can build such kernels for various exogenously defined constraint sets K and policy instruments. This study contributes in filling a gap of knowledge about what the viable economic states are if the output gap is targeted. The main results of this research show that, when smaller than historically acceptable output gaps are targeted, the central banks should avoid high level inflation at extreme positive output gaps, while at lower output gap limits very small inflation should also be avoided. The former prescription should be realised by having higher level interest rates and the latter by having lower level interest rates. Early interest rates adjustments are always recommended for central banks to avoid extreme situations.

Item Type: | MPRA Paper |
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Original Title: | Differences in monetary policies between two hypothetical closed economies:one which is concerned with avoiding a large negative output gap and the other which is not |

Language: | English |

Keywords: | Viability theory; Viability kernels; Monetary policy problem |

Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E58 - Central Banks and Their Policies |

Item ID: | 61826 |

Depositing User: | Miss Thakshila Gunaratna |

Date Deposited: | 05 Feb 2015 08:56 |

Last Modified: | 03 Oct 2019 13:57 |

References: | Aubin, J.-P. (1991). Viability theory. systems & control: Foundations & applications. Birkhäuser, Boston. doi 10 (1007), 978-0. Aubin, J.-P. (1997). Dynamic economic theory: a viability approach, Volume 199. Springer Berlin. Aubin, J.-P., A. M. Bayen, and P. Saint-Pierre (2011). Viability theory: new directions. Springer. Batini, N. and A. Haldane (1999). Monetary policy rules and inflation forecasts.Bank of England quarterly bulletin 39 (1), 60-7. Fuhrer, J. C. (1994). Optimal monetary policy and the sacrifice ratio. In Conference Series;[Proceedings], pp. 43-84. Federal Reserve Bank of Boston. Galí, J. (2009). Monetary Policy, inflation, and the Business Cycle: An introduction to the new Keynesian Framework. Princeton University Press. Krawczyk, J. and K. Kim (2009). Satisficing solutions to a monetary policy problem. Macroeconomic Dynamics 13 (01), 46-80. Krawczyk, J. and A. Pharo (2012). Viability kernel approximation, analysis and simulation application-vikaasa code. URL http://code. google. com/p/vikaasa. Krawczyk, J., A. Pharo, and M. Simpson (2011). Approximations to viability kernels for sustainable macroeconomic policies. Krawczyk, J. and R. Sethi (2007). Dp2007/03. Krawczyk, J. B. and K. Kim (2014). Viable stabilising non-taylor monetary policies for an open economy. Computational Economics 43 (2), 233-268. Krawczyk, J. B. and A. S. Pharo (2011). Manual of vikaasa: An application capable of computing and graphing viability kernels for simple viability problems. McCallum, B. T. (2006). A monetary policy rule for automatic prevention of a liquidity trap. In Monetary Policy under Very Low Inflation in the Pacific Rim, NBER-EASE, Volume 15, pp. 9-42. University of Chicago Press. Quincampoix, M. and V. Veliov (1998). Viability with a target: theory and appli- cations. Applications of Mathematics in Engineering (Sozopol, 1997)(B. Cheshankov and M. Todorov, eds.), Heron Press, Sofia, 47-54. Rudebusch, G. and L. E. Svensson (1999). Policy rules for inflation targeting. In Monetary policy rules, pp. 203-262. University of Chicago Press. Simon, H. A. (1955). A behavioral model of rational choice. The quarterly journal of economics, 99-118. Svensson, L. E. (2000). Open-economy inflation targeting. Journal of international economics 50 (1), 155-183. Taylor, J. B. and J. C. Williams (2010). Simple and robust rules for monetary policy. Technical report, National Bureau of Economic Research. Veliov, V. (1993). Sufficient conditions for viability under imperfect measurement. Set-valued analysis 1 (3), 305-317. Walsh, C. E. (2003). Monetary theory and policy. MIT press. |

URI: | https://mpra.ub.uni-muenchen.de/id/eprint/61826 |