On the estimation of returns to scale, technical progress and monopolistic markups

A number of theoretical results on estimating returns to scale, technical progress and monopolistic markups are derived when there are multiple outputs and inputs. The choice of value added versus gross output and problems that arise in aggregation across sectors of an economy are also considered. Using US data on manufacturing, evidence is found of increasing returns to scale across all levels of aggregation. Technical progress is typically found to be insignificant implying that economic growth has been driven by increasing returns to scale rather than technical progress. Such findings have important implications for the macroeconomic modeling of economic fluctuations.     

A decomposition of US business sector TFP growth into technical progress and cost efficiency components

A problem with index number methods for computing TFP growth is that during recessions these methods show declines in TFP. This is rather implausible since it implies technological regress. We develop a new method to decompose TFP growth into technical progress and inefficiency arising from the short run fixity of capital and labour, and apply this to new data on the US corporate nonfinancial sector and the noncorporate nonfinancial sector. The analysis sheds light on sources of the productivity growth slowdowns over the period 1960–2014.     

The aggregation of capital over vintages in a model of embodied technical progress

The paper considers how to measure capital in a model where technical progress is embodied in new units of capital. This embodiment model also assumes that once new units of capital are installed, it cannot be “unbolted” and sold on the second hand market. A significant difference between this Solow–Harper model and the traditional capital services model due to Jorgenson and his coworkers is that rising real wage rates will generally induce early retirement of assets; i.e., this model can provide an explanation for obsolescence. The paper studies how to aggregate over vintages and how to measure depreciation in the context of this embodiment model. These problems are more complicated than the corresponding problems in the traditional capital services model because the age of retirement of an asset is endogenous in the embodiment model. The paper uses duality theory to simplify the exposition.

Scanner data, time aggregation and the construction of price indexes

We examine the impact of time aggregation on price change estimates for 19 supermarket item categories using scanner data. Time aggregation choices lead to a difference in price change estimates for chained indexes which ranged from 0.28% to 29.73% for a superlative index and an incredible 14.88%-46,463.71% for a non-superlative index. Traditional index number theory appears to break down with weekly data, even for superlative indexes. Monthly and (in some cases) quarterly time aggregation were insufficient to eliminate downward drift in superlative indexes. To eliminate drift, a novel adaptation of a multilateral index number method is proposed.     

Alternative Approaches to Commercial Property Price Indexes for Tokyo

The paper studies the problems associated with the construction of price indexes for commercial properties that could be used in the System of National Accounts. Property price indexes are required for the stocks of commercial properties in the balance sheets and related price indexes for the land and structure components of a commercial property are required in the balance sheet accounts for the calculation of the Multifactor Productivity of the Commercial Property Industry. The paper uses a variant of the builder's model that has been used to construct Residential Property Price Indexes. Geometric depreciation rates are estimated for commercial offices in Tokyo using assessment data for REIT. The problems associated with the decomposition of property value into land and structure components are addressed. The problems associated with depreciating capital expenditures on buildings and with measuring the loss of asset value due to early retirement of the structure are also addressed.     

Natural Resources and Missing Inputs in International Productivity Comparisons*

Standard theory for cross-country productivity comparisons assumes all countries use the same factor inputs in production. This assumption is violated when including natural resources, such as oil, gas and gold, because countries do not extract the full set of resources. In this paper we propose a solution by viewing it as a “missing goods” problem and assigning missing inputs a reservation price equal to the world resource price. We show that this has a substantial impact on relative productivity levels for countries heavily reliant on natural resources for generating their income. Under our new productivity measure, resource-rich countries are no longer uncommonly productive.