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Financial Aggregation and Index Number Theory.
Title:
Financial Aggregation and Index Number Theory.
Author:
Barnett, William A.
ISBN:
9789814293105
Personal Author:
Physical Description:
1 online resource (278 pages)
Series:
Surveys on Theories in Economics and Business Administration
Contents:
Contents -- Introduction -- 1 International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview -- 1.1. Introduction -- 1.2. Monetary Aggregation Theory -- 1.2.1. Monetary Aggregation -- 1.2.2. Aggregation Theory versus Index Number Theory -- 1.2.3. The Economic Decision -- 1.2.4. The Divisia Index -- 1.2.5. Risk Adjustment -- 1.2.6. Dual Space -- 1.2.7. Aggregation Error and Policy Slackness -- 1.3. The History of Thought on Monetary Aggregation -- 1.4. The 1960s and 1970s -- 1.5. The Monetarist Experiment: November 1979-November 1982 -- 1.6. End of the Monetarist Experiment: 1983-1984 -- 1.7. The Rise of Risk Adjustment Concerns: 1984-1993 -- 1.8. The Y2K Computer Bug: 1999-2000 -- 1.9. The Supply Side -- 1.10. European ECB Data -- 1.11. The Most Recent Data: Would You Believe This? -- 1.12. Conclusion -- Appendix -- 2 The Exact Theoretical Rational Expectations Monetary Aggregate -- 2.1. Introduction -- 2.2. Consumer Demand for Monetary Assets -- 2.3. Existence of a Monetary Aggregate for the consumer -- 2.4. The Solution Procedure -- 2.5. Monetary Policy -- 2.6. The Risk Neutral Case -- 2.7. A Generalization -- 2.8. Data and Specification -- 2.9. Estimation -- 2.10. Frequency Domain Tests -- 2.11. Frequency Domain Results -- 2.12. Conclusions -- 3 On User Costs of Risky Monetary Assets -- 3.1. Introduction -- 3.2. Consumer's Optimization Problem -- 3.3. Risk-adjusted User Cost of Monetary Assets -- 3.3.1. The Theory -- 3.3.2. Approximation to the Theory -- 3.4. Concluding Remarks -- 4 The Discounted Economic Stock of Money with VAR Forecasting -- 4.1. Introduction -- 4.2. Microfoundations of Consumer Demand for Money -- 4.2.1. Overview -- 4.2.2. User Cost of Money -- 4.3. Economic Aggregation and Index Number Theory -- 4.3.1. Definition of the Economic Stock of Money under Perfect Foresight.

4.3.2. Extension to Risk -- 4.3.3. CE and Simple Sum Indexes as Special Cases of the ESM -- 4.4. Measurement of the Economic Stock of Money -- 4.4.1. Method 1: Linearizing Around Current Values -- 4.4.2. Method 2: Martingale Expectations for only the Benchmark Rate -- 4.4.3. Method 3: Setting Covariances to Zero -- 4.5. Forecasting Models -- 4.5.1. Unrestricted VARs -- 4.5.2. Asymmetric VARs -- 4.5.3. Bayesian VARs -- 4.6. Model Specification -- 4.6.1. Data Description -- 4.6.2. Nonstationarity and Data Transformation -- 4.6.3. Selection of Lag Length -- 4.6.4. Criterion for Evaluation of Forecasting performance -- 4.6.5. Specification of Priors -- 4.7. Empirical Results: Forecasting Performance and Evaluation -- 4.8. Empirical Results: Estimation of Money Stock -- 4.8.1. Economic Stock of Money Computed using Actual Data -- 4.8.2. Economic Stock of Money Based on BVAR Forecasts -- 4.9. Discussion and Conclusion -- APPENDIX -- 5 Exchange Rate Determination from Monetary Fundamentals: An Aggregation Theoretic Approach -- 5.1. Introduction -- 5.2. The Role of Money Supply and Demand in Exchange Rate Models -- 5.3. Aggregation and Index Number Theory -- 5.4. Exchange Rate Forecasting with Divisia Money and User Cost Prices -- 5.4.1. Model Specification -- 5.4.2. Data Specification and Transformation -- 5.4.3. Estimation and Forecasting -- 5.4.4. Forecast Comparisons -- 5.5. The Empirical Results -- 5.5.1. The MSE and DM Comparisons -- 5.5.2. The DOC Results -- 5.6. Conclusion -- 6 Multilateral Aggregation-Theoretic Monetary Aggregation over Heterogeneous Countries -- 6.1. Introduction -- 6.2. Definition of Variables -- 6.3. Aggregation within Countries -- 6.4. Aggregation Over Countries -- 6.5. Special Cases -- 6.5.1. Purchasing Power Parity -- 6.5.2. Multilateral Representative Agent over the Economic Union.

6.5.3. Existence of a Unilateral Representative Agent over the Economic Union -- 6.6. Interest Rate Aggregation -- 6.7. Divisia Second Moments -- 6.8. Conclusions -- 7 Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach -- 7.1. Introduction -- 7.2. Monetary Aggregation Theory -- 7.2.1. Monetary Aggregation -- 7.2.2. Aggregation Theory versus Index Number Theory -- 7.2.3. The Economic Decision -- 7.2.4. The Divisia Index -- 7.2.5. Risk Adjustment -- 7.2.6. Dual Space -- 7.3. The State Space Model -- 7.4. Empirical Results -- 7.4.1. Data -- 7.4.2. Specification Tests -- 7.4.3. High and Low Inflation and Interest Rate Phases -- 7.4.4. Estimates -- 7.4.5. Simple M1 Aggregate and Divisia M1 -- 7.4.6. Simple M2 Aggregate and Divisia M2 -- 7.4.7. Simple M3 Aggregate and Divisia M3 -- 7.5. Summary of Findings -- 7.6. Conclusions -- References -- Author Index.
Abstract:
The book surveys modern literature on financial aggregation and index number theory, with special emphasis on the contributions of the book's two coauthors. In addition to a systematic survey chapter unifying the rest of the book, this publication contains reprints of published articles that are central to the survey chapter. "Financial Aggregation and Index Number Theory" provides a reference work for financial data researchers and users of central bank data, placing emphasis on possible improvements in such data from use of the microeconomic index number and aggregation theory.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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