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CPS2118 Yang Wang



                           Measuring Real GDP and Changes in the Terms of
                                      Trade across Space and Time
                                                Yan Wang
                                   Dongbei University of Finance and Economics

               Abstract
               Larger  international  transactions and  sharp  changes  in  relative  prices  have
               great effect on the estimates of national income and product. If we define the
               terms of trade as the ratio of export price to import price, an improvement in
               the  terms  of  trade  means  that  the  country  can  get  more  for  less.  This
               phenomenon is similar  to  a  technological progress (Diewert and Morrison,
               1986). Contrary to a technological progress, however, a change in the terms
               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). 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.

               Keywords
               Real GDP; Purchasing Power Parities (PPPs); Terms of trade; Production
               theory

               1.  Introduction
                   Larger international transactions and sharp changes in relative prices have
               great effect on the estimates of national income and product. These estimates
               have been more sensitive to the choice of concepts and methodologies since
               1970’s (Denison, 1981). The economic performance of Switzerland over the
               long  run  is  paradoxical.  In  most  international  comparisons,  Switzerland  is
               found  to  have  a  growth  rate  that  is  significantly  lower  than  that  of  other
               industrialized  nations.  However,  in  terms  of  average  living  standards,
               Switzerland always ranks among the top nations (Kohli, 2004). If we define the
               terms of trade as the ratio of export price to import price, an improvement in
               the  terms  of  trade  means  that  the  country  can  get  more  for  less.  This
               phenomenon is similar  to a  technological progress (Diewert and Morrison,
               1986). Contrary to a technological progress, however, a change in the terms


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