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DPSL

Economics, Finance, Business & Industry

The Price Index and its Extension -A chapter in economic measurement

Author: Sydney Afriat

Master eBook ISBN10 : 0-203-35651-9

Master eBook ISBN13 : 978-0-203-35651-7

No of pages : 456

eBook Price : $260

Originally Published : 24 Nov 2004

A theft amounting to £1 was a capital offence in 1260, and a judge in 1610 affirmed the law could not then be applied since £1 was no longer what it was. Such association of money with a date is well recognized for its importance in very many different connections. Thus arises the need to know how to convert an amount at one date into an equivalent amount at another date. In other words, a price index.
The ordinary consumer price index or CPI represents a practical response to the need. A sense for the equivalence that should give it some legitimacy, and the faithfulness, or truth, of a price index to that sense, becomes an issue giving rise to extensive thought and theory about price indices, to which over the decades a remarkable number of economists have each contributed a word, or volume. However, there have been hold-ups at a most basic level, cleared in this book. Beside the classical part of the subject that should command most attention, this volume ventures into further topics.
Afriat is rightly famous for his work in the field of the price index, and this latest book will interest economists of an academic and professional nature the world over.



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Table of contents : Part I: Paasche, Laspeyres and Fisher
Introduction - Theory and Practice
1. Comparisons
2. Fleetwood's student
3. What is a price index?
I - Three Problems
1. The 'Index Number Problem'
2. Formulae and tests
3. Utility-cost
4. Cost efficiency and effectiveness
5. The price index
6. Problems
II - The General Probem of Limits
1. Consistency of demands
2. Revealed choice and preference
3. Preference-nonpreference contradiction
4. Cost-efficiency and nonsatiation
5. Critical costs
6. Revealed bounds and classical limits
III - The Homogeneous Problem - Laspeyres and Paasche
1. Conical utility and expansion loci
2. Homogeneous consistency
3. Revealed homogeneous preference
4. Range of the price index
5. Revealed bounds
6. Classical limits
IV - Fisher and quadratics
1. Byushgens on Fisher
2. Question about Byushgens
3. Gradients and quadratics
4. Conditions for compatibility
5. Theorem on quadratic consistency

Part II - The Cost of Living

I - Price and quantity levels
1. Price-quantity duality
2. Dual function examples
3. Price and quantity levels
4. Limits of Indeterminacy
II - The True Index
1. The cost of living
2. The price index
3. Formulae, and Fisher's Tests
4. The Paasche-Laspeyres interval
5. Existence test
6. Theory and practice
7. Many periods
8. Price levels
9. Fisher's formula
III - Fisher and Byushgens
1. Byushgens' theorem
2. The existence question
3. Purchasing power correspondence
4. Many-period generalization
IV - The Four Point Formula
1. Median multipliers and levels
2. Centre locus
3. Linear purchasing power
4. Critical locations
5. Elliptical case
V - Wald's "New Formula"
1. Linear expansions
2. Revealed purchasing power
3. The critical points
4. Marginal price indices, and limits


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