IMF Finances

IMF Quotas -- A Factsheet

External Review of Quota Formulas: Quantification
April 12, 2001

Report to the IMF Executive Board of the Quota Formula Review Group

Report to the IMF Executive Board of the Quota Formula Review Group - Annex

Report to the IMF Executive Board of the Quota Formula Review Group - Statistical Appendix - Part A



Report to the IMF Executive Board of the Quota Formula Review Group

Statistical Appendix — Part B

May 1, 2000

Download the full document (Statistical Appendix, Part B) - 7,195k pdf file

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Contents


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I.   Regression Equations and Resulting Quota Distributions for Members
  • Specification of Regression Equations
  Regressions
168k
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1.   Re-estimated Bretton Woods Formula for the Whole Membership
187k
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2.   Re-estimated Bretton Woods Formula Using PPP-Based GDP Instead of GDP at Market Exchange Rates
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3.   Linear Bretton Woods Formula with PPP-Based GDP Replacing GDP at Market Exchange Rates
190k
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4.   Re-estimated Bretton Woods Formula with a Multiplicative Term, which Includes a Dummy Variable Distinguishing Between Industrial and Developing Countries
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5.   Re-estimated Bretton Woods (BW) Formula for Members with Calculated Quotas Based on the Variants of the BW Formula
127k
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6.   Re-estimated Bretton Woods Formula for Members Representing Developing Countries
154k
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7.   Re-estimated Bretton Woods Formula for Members with Actual Quota Shares Equal to or Less Than 1 Percent
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8.   Re-estimated Bretton Woods Formula for Members who Joined in the Past Twenty Years
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9.   Linear Bretton Woods Formula Without the Multiplicative Factor
180k
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10.   Linear Bretton Woods Formula with Current Receipts
185k
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11.   Linear Bretton Woods Formula with an Openness Index
182k
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12.   Nonlinear Bretton Woods Formula with an Openness Index
180k
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13.   Nonlinear Bretton Woods Formula Without the Reserves Variable
180k
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14.   Nonlinear Bretton Woods Formula with Gold Reserves Valued at Market Prices
182k
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15.   Nonlinear Bretton Woods Formula with a Five Year Average of GDP Replacing the Existing One year GDP
182k
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16.   Nonlinear Bretton Woods Formula with Population
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17.   Nonlinear Bretton Woods Formula with Short Term Debt
181k
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18.   Nonlinear Bretton Woods Formula with the Variability of External Receipts Replacing the Variability of Current Receipts
182k
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19.   Nonlinear Bretton Woods Formula with the Then-Existing Quota as a Multiplicative Explanatory Variable
182k
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20.   Nonlinear Bretton Woods Formula with the Then-Existing Quota as an Additive Explanatory Variable
180k
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21.   Regression of Actual Quotas on Variables Indicative of Ability to Contribute Financial Resources to the Fund
186184k
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22.   Nonlinear Bretton Woods Formula with a Five-Year Average of GDP, where the Conversion Factors are Centered Five-Year Moving Averages of the Annual Exchange Rates, Replacing the Existing One-Year GDP
182k
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23.   Nonlinear Bretton Woods Formula with GNP Converted with the World Bank Atlas Method
182k
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24.   Linear Formula with the Then-Existing Quota, Short-Term Debt, Population, and Trade added, and Reserves and Current Payments dropped
113k
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25.   Nonlinear Bretton Woods Formula with the Then-Existing Quota as an Additive Explanatory Variable for Countries with Calculated Quotas Based on the Variants of the Bretton Woods Formula
183k
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26.   Nested Model where a Regression of Vulnerability Variables (Represented by the Variability of Current Receipts and Population) is Estimated First
178k
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27.   Nested Model where a Regression of Strength Variables is Estimated First
183k
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28.   Linear Estimation of both Strength and Vulnerability Variables
183k
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29.   Re-estimated Bretton Woods Formula with Normal Net Capital Flows as an Additional Variable
1845k
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30.   Re-estimated Bretton Woods Formula with Real Effective Exchange Rate Variability Times Current Receipts as an Additional Variable
184k
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31.   Re-estimated Bretton Woods Formula with Debt as an Additional Variable
160k
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32.   Members with Quota Shares of Equal to or Less Than 1.0 Percent. Re-estimated Bretton Woods Formula with Normal Net Capital Flows as an Additional Variable
162k
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33.   Members with Quota Shares of Equal to or Less Than 1.0 Percent. Re-estimated Bretton Woods Formula with Real Effective Exchange Rate Variability Times Current Receipts as an Additional Variable
163k
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34.   Members with Quota Shares of Equal to or Less Than 1.0 Percent. Re-estimated Bretton Woods Formula with Financial Market Accessibility Times Current Payments as an Additional Variable
160k
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35.   Members with Quota Shares of Equal to or Less Than 1.0 Percent. Re-estimated Bretton Woods Formula with Debt as an Additional Variable
189k
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36.   Re-estimated Bretton Woods Formula with Financial Market Accessibility Times Current Payments as an Additional Variable
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37.   Bretton Woods Formula for Schedule A Members Using 1934-43 Data

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II.   Regression Results for Chow and Wald Tests
  Regressions
  38.   Chow Test. Sixth Quota Review
  39.   Chow Test. Seventh Quota Review
  40.   Chow Test. Eighth Quota Review
  41.   Chow Test. Ninth Quota Review
  42.   Chow Test. Tenth Quota Review
  43.   Chow Test. Eleventh Quota Review
  44.   Chow Test. Sixth and Seventh Quota Reviews
  45.   Chow Test. Seventh and Eighth Quota Reviews
  46.   Chow Test. Eighth and Ninth Quota Reviews
  47.   Chow Test. Ninth and Tenth Quota Reviews
  48.   Chow Test. Tenth and Eleventh Quota Reviews
  49.   Chow Test. Sixth, Seventh and Eighth Quota Reviews
  50.   Chow Test. Sixth, Seventh, Eighth and Ninth Quota Reviews
  51.   Chow Test. Sixth, Seventh, Eighth, Ninth and Tenth Quota Reviews
  52.   Chow Test. Sixth through Eleventh Quota Reviews

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III.   Estimation and Distribution Results from Nested Formulas with Vulnerability and Strength Variables
  Regressions
  53.   Nested Model where a Regression of Vulnerability Variables (Represented by the Variability of Current Receipts and Population) is Estimated First
  54.   Nested Model where a Regression of Strength Variables is Estimated First
  55.   Linear Estimation of both Strength and Vulnerability Variables