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A Newton's Method for Benchmarking Time Series According to a Growth Rates Preservation Principle
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ISBN: 1463901909 1463900333 1283566672 9786613879127 1463900384 Year: 2011 Publisher: Washington, D.C. : International Monetary Fund,

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This work presents a new technique for temporally benchmarking a time series according to the growth rates preservation principle (GRP) by Causey and Trager (1981). A procedure is developed which (i) transforms the original constrained problem into an unconstrained one, and (ii) applies a Newton's method exploiting the analytic Hessian of the GRP objective function. We show that the proposed technique is easy to implement, computationally robust and efficient, all features which make it a plausible competitor of other benchmarking procedures (Denton, 1971; Dagum and Cholette, 2006) also in a data-production process involving a considerable amount of series.


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Optimal Fiscal Adjustment under Uncertainty
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ISBN: 147554765X 1475561385 Year: 2016 Publisher: Washington, D.C. : International Monetary Fund,

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The paper offers a non-probabilistic framework for representation of uncertainty in the context of a simple linear-quadratic model of fiscal adjustment. Instead of treating model disturbances as random variables with known probability distributions, it is only assumed that they belong to some pre-specified compact set. Such an approach is appropriate when the decision maker does not have enough information to form probabilistic beliefs or when considerations for robustness are important. Solution of the model in the minimax sense when disturbance sets are ellipsoids is obtained and the application of the method is illustrated using the example of Portugal.


Book
New Estimates for Direction of Trade Statistics
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ISBN: 1484339142 148433910X Year: 2018 Publisher: Washington, D.C. : International Monetary Fund,

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In March 2017, the IMF published an upgrade of its Direction of Trade Statistics (DOTS) dataset. This paper documents the new methodology that has been developed to estimate missing observations of bilateral trade statistics on a monthly basis. The new estimation procedure is founded on a benchmarking method that produces monthly estimates based on official trade statistics by partner country reported at different times and frequencies. In this paper we describe the new estimation methodology. Additional data sources have also been incorporated. We also assess the impact of the new estimates on trade measurement in DOTS at global, regional, and country-specific levels. Finally, we suggest some developments of DOTS to strenghten its relevance for IMF bilateral and multilateral surveillance.


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Public Debt Sustainability Under Uncertainty : An Invariant Set Approach
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ISSN: 10185941 ISBN: 1475587198 9781475587197 1475587023 1475586256 9781475586251 Year: 2017 Publisher: Washington, D.C. : International Monetary Fund,

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The paper offers an approach to assessing the sustainability of public debt taking into account the effect of fiscal policy on output, as well as uncertainty in the model parameters and system dynamics. Uncertainty is specified in general terms, and the analysis is based on the notion of invariant sets. Examples are provided to illustrate how the method can be applied in practice.


Book
A Dynamic General Equilibrium Framework of Investment with Financing Constraint
Authors: ---
ISBN: 1462357105 1452738173 1281601276 9786613781963 1451893345 Year: 2002 Publisher: Washington, D.C. : International Monetary Fund,

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In this paper, we provide a dynamic general equilibrium framework with an explicit investment-financing constraint. The constraint is intended as a reduced form to capture the balance sheet effects, which have been widely regarded as an important determinant of financial crises. We derive a link between the value of the firm and the social welfare and we find that the value of the firm can be greater with than without the constraint. Our model also sheds light on how the effects of productivity shocks and bubbles may be amplified by the financing constraint.


Book
The Optimal Turnover Threshold and Tax Rate for SMEs
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ISBN: 1498314295 1498314260 Year: 2019 Publisher: Washington, D.C. : International Monetary Fund,

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Presumptive income taxes in the form of a tax on turnover for SMEs are pervasive as a way to reduce the costs of compliance and administration. We analyze a model where entrepreneurs allocate labor to the formal and informal sectors. Formal sector income is subjected either to a corporate income tax or a tax on turnover, depending on whether their turnover exceeds a threshold. We characterize the private sector equilibrium for any given configuration of tax policy parameters (corporate income tax rate, turnover tax rate, and threshold). Given private behavior, social welfare is optimized. We interpret the first-order conditions for welfare maximization to identify the key margins and then simulate a calibrated version of the model.


Book
Central Bank Independence and Macro-Prudential Regulation
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ISBN: 1475549687 1475502915 1475511639 1475581173 Year: 2012 Volume: WP/12/101 Publisher: Washington, D.C. : International Monetary Fund,

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We consider the optimality of various institutional arrangements for agencies that conduct macro-prudential regulation and monetary policy. When a central bank is in charge of price and financial stability, a new time inconsistency problem may arise. Ex-ante, the central bank chooses the socially optimal level of inflation. Ex-post, however, the central bank chooses inflation above the social optimum to reduce the real value of private debt. This inefficient outcome arises when macro-prudential policies cannot be adjusted as frequently as monetary. Importantly, this result arises even when the central bank is politically independent. We then consider the role of political pressures in the spirit of Barro and Gordon (1983). We show that if either the macro-prudential regulator or the central bank (or both) are not politically independent, separation of price and financial stability objectives does not deliver the social optimum.


Book
On the Extrapolation with the Denton Proportional Benchmarking Method
Authors: ---
ISBN: 1475591055 1475505175 1475558910 1475534647 9781475591057 9781475505177 9781475534641 9781475505177 9781475534641 9781475558913 Year: 2012 Publisher: Washington, D.C. : International Monetary Fund,

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Statistical offices have often recourse to benchmarking methods for compiling quarterly national accounts (QNA). Benchmarking methods employ quarterly indicator series (i) to distribute annual, more reliable series of national accounts and (ii) to extrapolate the most recent quarters not yet covered by annual benchmarks. The Proportional First Differences (PFD) benchmarking method proposed by Denton (1971) is a widely used solution for distribution, but in extrapolation it may suffer when the movements in the indicator series do not match consistently the movements in the target annual benchmarks. For this reason, an enhanced formula for extrapolation was recommended by the IMF’s Quarterly National Accounts Manual: Concepts, Data Sources, and Compilation (2001). We discuss the rationale behind this technique, and propose a matrix formulation of it. In addition, we present applications of the enhanced formula to artificial and real-life benchmarking examples showing how the extrapolations for the most recent quarters can be improved.


Book
Optimal Oil Production and the World Supply of Oil
Authors: --- --- ---
ISBN: 1589065700 1475568479 1299264492 1616359749 9781616359744 9781475568479 9781616354831 Year: 2012 Publisher: Washington, D.C. : International Monetary Fund,

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We study the optimal oil extraction strategy and the value of an oil field using a multiple real option approach. The numerical method is flexible enough to solve a model with several state variables, to discuss the effect of risk aversion, and to take into account uncertainty in the size of reserves. Optimal extraction in the baseline model is found to be volatile. If the oil producer is risk averse, production is more stable, but spare capacity is much higher than what is typically observed. We show that decisions are very sensitive to expectations on the equilibrium oil price using a mean reverting model of the oil price where the equilibrium price is also a random variable. Oil production was cut during the 2008–2009 crisis, and we find that the cut in production was larger for OPEC, for countries facing a lower discount rate, as predicted by the model, and for countries whose governments’ finances are less dependent on oil revenues. However, the net present value of a country’s oil reserves would be increased significantly (by 100 percent, in the most extreme case) if production was cut completely when prices fall below the country's threshold price. If several producers were to adopt such strategies, world oil prices would be higher but more stable.


Book
Fiscal Revenue, Inflationary Finance and Growth
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ISBN: 1462348068 1455226246 Year: 1992 Publisher: Washington, D.C. : International Monetary Fund,

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This paper analyzes the optimal rate of monetary expansion when government resorts to inflationary finance to generate additional investment for enhancing growth. If there are lags in tax collection, an increase in inflation erodes real fiscal revenue, thereby worsening the current balance while reducing government investment. This impedes capital accumulation as well as increases the welfare cost of inflation. As such, the optimal rate of monetary expansion, equilibrium capital-labor ratio and output are lower while the marginal cost of inflationary finance is higher than they would be without collection lags. Simulations are performed to highlight empirical implications.

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