Relative Price Effects on Decompositions of Change in Aggregate Labor Productivity

Arbeitspapier

This paper shows that the decomposition of log-change in aggregate labor productivity (ALP) devised by Balk (2013) based on Sato-Vartia indexes is inexact when applied to gross domestic product (GDP) in chained or in constant prices so that sectoral contributions do not necessarily add up to "actual" log-change in ALP. However, this paper adjusts Balk's decomposition by incorporating "relative prices" - from the "generalized exactly additive" (GEAD) decomposition of "arithmetic change" in ALP (Dumagan 2013) - and shows that the adjusted Balk decomposition is exact for GDP in chained or in constant prices like GEAD. An important finding is that relative prices could reverse the signs of sectoral contributions from Balk's inexact decomposition. Hence, results from related decompositions of log-change in ALP, e.g., those based on the Tornqvist framework, that do not explicitly recognize relative prices could be misleading and, therefore, may need reconsideration.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: PIDS Discussion Paper Series ; No. 2013-44

Classification and Topics

• Classification: Wirtschaft ; Index Numbers and Aggregation; Leading indicators ; Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence
• Subject: relative prices ; productivity change decomposition ; index number theory

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Dumagan, Jesus C.
• Event: Veröffentlichung
• (who): Philippine Institute for Development Studies (PIDS)
• (where): Makati City
• (when): 2013

Further information

• Handle: http://hdl.handle.net/10419/126955
• Last update: 10.03.2025, 11:41 AM CET