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Estimating regional Gdp in Italy (1871-2001): sources, methodology, and results (Felice, E)

This article has Italian historical regional GDP figures, but they are in constant 2001 euros not in 1990 Geary–Khamis dollars where I can compare them more easily with other GDP figures. Would someone show me how you go about converting 2001 euros to 1990 Geary–Khamis dollars?

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In general, real output is calculated like this: $$RGDP_{t, b} = NGDP_t \cdot p_{base} / p_t$$ Where $NGDP_t$ is nominal GDP at time t, $p_t$ is the price level in time $t$ and $p_{base}$ is the price level in the base period.

To covert RGDP between base periods, note that the ratio to a common year's $RGDP_t$ in two different base years is: $$RGDP_{t, b1} / RGDP_{t, b2} = p_{base1} / p_{base2}$$

You can rearrange this equality to solve for what you want: $$RGDP_{t, b2} =RGDP_{t, b1} \cdot p_{base1} / p_{base2}$$

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