asquare
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There is some debate about this outside of China, but inside of China we don't recognize PPP as a measure of GDP.
The focus on nominal GDP is because currency matters. Much of America's economic hegemony in this world is based on the US dollar as the global reserve currency.
I agree with you as far as currency matters in terms of a nation's influence or power (not the nominal value of the currency, but it's stability and therefore it's use in denominating transactions and reserves— and you could argue, reversing causality, that the use of a currency in denominating transactions and reserves depends on the issuing nation's influence and not just the stability of the currency). The argument here was about the value of GDP PPP vs nominal GDP as a measure of economic progress.
I am not familiar with China's objection to PPP as a comparison tool. Is it because China doesn't agree with the commodity basket used? Does China have it's own equivalent of PPP using an alternate commodity basket?