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CPS2118 Yang Wang
               of trade is treated by the national accounts as a price phenomenon, rather
               than as a real effect. Consequently, the beneficial effect of an improvement in
               the terms of trade is not taken into account by real GDP (Kohli, 2006).
                   SNA (1993) first introduce the concept of real GDP based on production
               approach and expenditure approach to take into account the terms of trade.
               There are two main approaches to measuring the Real GDP on output-side
               and expenditure-side and the terms of trade. The first approach is to focus on
               temporal  changes  in  the  terms  of  trade  from  the  perspective  of  national
               accounts.  However,  it  is  difficult  to  measure  the  total  effect  made  by  the
               international trade and the consequent price movement on production and
               consumption  based  only  on  an  economy’s  national  accounting  data.  The
               second approach is to investigate the changes in the terms of trade across
               time  and  space  from  the  perspective  of  international  comparison.  Latest
               version of PWT uses two sets of indexes called CGDP and RGDP to measure
               the real GDP on output-side and expenditure-side, but there are still questions
               to  ask:  (1)  The  implicit  PPP  based  on  Fisher  quantity  index  may  not  be
               transitive. (2) We can’t decompose the Fisher quantity index into meaningful
               parts to directly measure the effect of terms of trade. In this paper we are
               trying to measure the real GDP on both output-side and expenditure-side and
               the contribution of terms of trade to the real GDP growth across space and
               time in a more consistent way. Based on production theory and translog GDP
               methodology introduced by Diewert and Morrison (1986), we further extend
               Inklaar and Diewert (2016)’s framework to simultaneously calculate real GDP
               on expenditure-side and output-side and isolate the effect of terms of trade
               on real GDP.

               2.  Literature Review
               2.1 National practice
                   Since 1981, the U.S. Bureau of Economic Analysis publishes series of what
               has become known as ‘‘Command-Basis’’ GNP. Command-Basis GNP (GDP) is
               a measure of real GNP (GDP) that tries to take into account the effects of
               changes in the terms of trade on the purchasing power of a nation.
               BEA use import price index to deflate the trade account. Canada and Swiss
               National Bank  use Gross  Domestic  Final  Expenditure  (GDFE)  to  deflate  the
               trade account.
               2.2 The SNA approach
                   SNA (1993) first introduce the concept of real GDP based on production
               approach and expenditure approach to take into account the terms of trade.
               According to SNA, the production approach measures the real GDP in a way
               to measure an economy’s production capability and its production possibility
               frontier; The expenditure approach measures the real GDP in a way to measure
               an economy’s real purchasing power and living standard (SNA, 1993).

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