The Money Metric, Price and Quantity Aggregation and Welfare Measurement
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Claude Hillinger
The paper presents a general theory of the aggregation of prices and quantities that unifies the field and relates topics that in the past have been treated separately and unsatisfactorily, or not at all. The theory does without the common but unrealistic assumptions of homotheticity, or representative agents and is valid with or without an explicit utility maximization assumption. Two different derivations are given, one in continuous time, using Divisia integrals, and one employing more traditional discrete arguments. The unifying concept is the money metric, which is interpreted as a partial welfare indicator, rather than as a comprehensive welfare measure. On this basis, a consistent set of chained price and quantity indexes for a set of additive time series, such as those in the national income and product accounts, is derived. All variants of the theory lead to Törnqvist indexes defined on the appropriate data set. A numerical example confirms that in the non-homothetic case, these indexes are superior both to Fisher’s ‘ideal’ index and to the consumer surplus approximation.
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Articles in the same Issue
- Topics Article
- Balance of Payments Constrained Non-Scale Growth and the Population Puzzle
- The Human Capital Constraint: Of Increasing Returns, Education Choice and Coordination Failure
- ``To Furnish an Elastic Currency'': Banking, Aggregate Risk, and Welfare
- How Prudent are Community Representative Consumers?
- Price Distribution in a Symmetric Economy
- The Role of Stock Markets in Current Account Dynamics: a Time Series Approach
- Shiftwork, Adjustment Costs and Uncertainty
- How Do Future Constraints Affect Current Investment?
- The Politics of Endogenous Growth
- Sticky Prices, Coordination and Enforcement
- Fractional Integration with Bloomfield Disturbances in the Specification of Real Output in the G7 Countries
- Monetary Policy When the Nominal Short-Term Interest Rate is Zero
- High-Tech Human Capital: Do the Richest Countries Invest the Most?
- Substitution Elasticities and Investment Dynamics in Two-Country Business Cycle Models
- Contributions Article
- On Modeling the Effects of Inflation Shocks: Comments and Some Further Evidence
- Optimal Monetary Policy and the Correlation between Prices and Output
- Are Banking Supervisory Data Useful for Macroeconomic Forecasts?
- An Analytical Approach to the Welfare Cost of Business Cycles and the Benefit from Activist Monetary Policy
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- Idle Capital and Long-Run Productivity
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- On the Friedman Rule in Search Models with Divisible Money
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- Advances Article
- Where Is the Natural Rate? Rational Policy Mistakes and Persistent Deviations of Inflation from Target
- Downward Nominal Wage Rigidity: Evidence from the Employment Cost Index
