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Deriving Weights for Additivity of Chained Volume Measures in the National Accounts

  • Dumagan, Jesus C.

In current practice in all countries, subaggregate chained volume measures (CVMs) are not weighted and, thus, not additive. However, weights are necessary because without them, nonadditivity permits the nonsensical result that a subaggregate CVM could exceed the aggregate CVM. This paper derives weights to make the sum of weighted subaggregates equal the aggregate (i.e., additivity) and avoid this nonsensical result. The weights are ratios of subaggregate to aggregate chained price deflators that exceed, equal, or fall below 1 depending on relative prices. CVMs in current practice are additive only in the special case of constant relative prices when all weights equal 1. Without weights, they are not additive when relative prices change and, in this case, empirical results show that nonadditivity could significantly distort the sectoral composition of GDP.

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Paper provided by Philippine Institute for Development Studies in its series Discussion Papers with number DP 2011-08.

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Length: 8
Date of creation: 2011
Date of revision:
Handle: RePEc:phd:dpaper:dp_2011-08
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  1. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
  2. Dumagan, Jesus C., 2011. "Implementing Weights for Additivity of Chained Volume Measures in the National Accounts," Discussion Papers DP 2011-09, Philippine Institute for Development Studies.
  3. Jesus C. Dumagan, 2010. "Computing Additive Chained Volume Measures of GDP Subaggregates," Macroeconomics Working Papers 23094, East Asian Bureau of Economic Research.
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