Measuring real value and inflation

The most important economic measures are monetary. They have many different names, are derived in different theories and employ different formulas. Yet, they all attempt to do basically the same thing: to separate a change in nominal value into a ‘real part’ due to the changes in quantities and an inflation due to the changes of prices. Examples are: real national product and its components, the GNP deflator, the CPI, various measures related to consumer surplus, as well as the large number of formulas for price and quantity indexes that have been proposed. The theories that have been developed to derive these measures are largely unsatisfactory. The axiomatic theory of indexes does not make clear which economic problem a particular formula can be used to solve. The economic theories are for the most part based on unrealistic assumption. For example, the theory of the CPI is usually developed for a single consumer with homothetic preferences and then applied to a large aggregate of diverse consumers with non-homothetic preferences. In this paper I develop a unitary theory that can be used in all situations in which monetary measures have been used. The theory implies a uniquely optimal measure which turns out to be the Törnqvist index. I review, and partly re-interpret the derivations of this index in the literature and provide several new derivations. The paper also covers several related topics, particularly the presently unsatisfactory determination of the components of real GDP

Measurement in Economics and Social Science

The paper discusses measurement, primarily in economics, from both analytical and historical perspectives. The historical section traces the commitment to ordinalism on the part of economic theorists from the doctrinal disputes between classical economics and marginalism, through the struggle of orthodox economics against socialism down to the cold-war alliance between mathematical social science and anti-communist ideology. In economics the commitment to ordinalism led to the separation of theory from the quantitative measures that are computed in practice: price and quantity indexes, consumer surplus and real national product. The commitment to ordinality entered political science, via Arrow’s ‘impossibility theorem’, effectively merging it with economics, and ensuring its sterility. How can a field that has as its central result the impossibility of democracy contribute to the design of democratic institutions? The analytical part of the paper deals with the quantitative measures mentioned above. I begin with the conceptual clarification that what these measures try to achieve is a restoration of the money metric that is lost when prices are variable. I conclude that there is only one measure that can be embedded in a satisfactory economic theory, free from unreasonable restrictions. It is the Törnqvist index as an approximation to its theoretical counterpart the Divisia index. The statistical agencies have at various times produced different measures for real national product and its components, as well as related concepts. I argue that all of these are flawed and that a single deflator should be used for the aggregate and the components. Ideally this should be a chained Törnqvist price index defined on aggregate consumption. The social sciences are split. The economic approach is abstract, focused on the assumption of rational and informed behavior, and tends to the political right. The sociological approach is empirical, stresses the non-rational aspects of human behavior and tends to the political left. I argue that the split is due to the fact that the empirical and theoretical traditions were never joined in the social sciences as they were in the natural sciences. I also argue that measurement can potentially help in healing this split

Asymmetric Shocks and Co-movement of Price Indices

This paper is an attempt to gauge the relationship between the long run paths of consumer price index and wholesale price index of Pakistan. For the empirical analysis the Johansen co-integration technique has been applied on monthly data (1978 to 2010) of WPI and CPI. This paper found that both the indices are co-integrated in the long run. Thus the deviations in movements of WPI and CPI in the short run are transitory and both the indices will converge to their coherent path in the long run. Therefore, inflation computed from CPI can be used as official measure of inflation without worrying for short run movements of WPI.Price Level, Time Series Models, Monetary Policy

Measurement in Economics and Social Science

The paper discusses measurement, primarily in economics, from both analytical and historical perspectives. The historical section traces the commitment to ordinalism on the part of economic theorists from the doctrinal disputes between classical economics and marginalism, through the struggle of orthodox economics against socialism down to the cold-war alliance between mathematical social science and anti-communist ideology. In economics the commitment to ordinalism led to the separation of theory from the quantitative measures that are computed in practice: price and quantity indexes, consumer surplus and real national product. The commitment to ordinality entered political science, via Arrow’s ‘impossibility theorem’, effectively merging it with economics, and ensuring its sterility. How can a field that has as its central result the impossibility of democracy contribute to the design of democratic institutions? The analytical part of the paper deals with the quantitative measures mentioned above. I begin with the conceptual clarification that what these measures try to achieve is a restoration of the money metric that is lost when prices are variable. I conclude that there is only one measure that can be embedded in a satisfactory economic theory, free from unreasonable restrictions. It is the Törnqvist index as an approximation to its theoretical counterpart the Divisia index. The statistical agencies have at various times produced different measures for real national product and its components, as well as related concepts. I argue that all of these are flawed and that a single deflator should be used for the aggregate and the components. Ideally this should be a chained Törnqvist price index defined on aggregate consumption. The social sciences are split. The economic approach is abstract, focused on the assumption of rational and informed behavior, and tends to the political right. The sociological approach is empirical, stresses the non-rational aspects of human behavior and tends to the political left. I argue that the split is due to the fact that the empirical and theoretical traditions were never joined in the social sciences as they were in the natural sciences. I also argue that measurement can potentially help in healing this split.collective choice; consumer surplus; money metric; price and quantity indexes; welfare measurement

Multifactor Models Do Not Explain Deviations from the CAPM

A number of studies have presented evidence rejecting the validity of the Capital Asset Pricing Model (CAPM). This evidence has spawned research into possible explanations. These explanations can be divided into two main categories - the risk based alternatives and the nonrisk based alternatives. The risk based category includes multifactor asset pricing models developed under the assumptions of investor rationality and perfect capital markets. The nonrisk based category includes biases introduced in the empirical methodology, the existence of market frictions, or explanations arising from the presence of irrational investors. The distinction between the two categories is important for asset pricing applications such as estimation of the cost of capital. This paper proposes to distinguish between the two categories using ex ante analysis. A framework is developed showing that ex ante one should expect that CAPM deviations due to missing risk factors will be very difficult to statistically detect. In contrast, deviations resulting from nonrisk based sources will be easy to detect. Examination of empirical results leads to the conclusion that the risk based alternatives is not the whole story for the CAPM deviations. The implication of this conclusion is that the adoption of empirically developed multifactor asset pricing models may be premature.

Inflation Analysis: An Overview

The purpose of this article is to describe how inflation analysis and forecasting has been carried out in the Bank, with particular emphasis on recent research and the new challenges facing the Bank following the launch of the euro on 1 January 1999. Broadly speaking the approach adopted by the Bank over a number of years has been an eclectic one which combines judgement and a range of formal approaches. The latter include structural models which are strongly influenced by basic macroeconomic theories of the small open economy (SOE), indicator analysis, including a composite leading indicator, and time series methods such as autoregressive integrated moving average (ARIMA), vector autoregressive (VAR) and Bayesian VAR (BVAR) models. The emphasis on particular methodologies has evolved over time but in all cases judgement has played a central role.inflation analysis and forecasting; judgement; small open economy; ARIMA; BVAR

Inflation Analysis: An Overview

The purpose of this article is to describe how inflation analysis and forecasting has been carried out in the Bank, with particular emphasis on recent research and the new challenges facing the Bank following the launch of the euro on 1 January 1999. Broadly speaking the approach adopted by the Bank over a number of years has been an eclectic one which combines judgement and a range of formal approaches. The latter include structural models which are strongly influenced by basic macroeconomic theories of the small open economy (SOE), indicator analysis, including a composite leading indicator, and time series methods such as autoregressive integrated moving average (ARIMA), vector autoregressive (VAR) and Bayesian VAR (BVAR) models. The emphasis on particular methodologies has evolved over time but in all cases judgement has played a central role.

Financial indexation and interest rate policy in Iceland

Iceland´s experience of rapid post-war inflation developments prompted a unique experiment with a near-comprehensive financial indexation that may be worthy of consideration for a number of individual countries as well as for international capital markets. The indexation policy came to its full fruition with such an articulated system as from 1979, while credit terms were still administered in detail by the Central Bank. The following period thus became ripe with experiences of running such a system and reaping its benefits. The problem of measurement of inflation was solved by a composite, weighted index of consumer and construction prices, and later to include wages, while finally the preference was for consumer prices alone. This simplification minimized the problem of time lag from measurement to application that had proved considerable under accelerating inflation into higher doule digits. Prior to indexation the stock of financial savings had seriously deteriorated in real and relative terms, mainly due to accumulated effects of negative real interest. With indexation, followed within a few years by free interest formation, the tide was turned over to rapid accumulation of financial capital that soon brought about internal demand equilibrium and restored the role of interest and demand policies in general, as well as greatly improving the external debt position. Bond issues rose to prominence pari passu with indexation with resulting multiplication of market instruments which developed further through share issues and stock exchange operations. The overall achievement has been one of a highly modernized financial system. While thus aiming at protecting the financial system against the ravages of inflation, no illusions were held as to indexation leading to an easy solution of inflation itself. However, it has obviously eliminated the inflation gains of the public at large, and thus stamped out the inflation mentality and substantially eased the task of disinflation.