Table A1.

HDI and its components through the years

	LE index (x = LE)	Education index	Income index (y = income)	Income variable	HDI index mean
2005	$\frac{x-25}{85-25}$	$\frac{2}{3}\frac{alr}{100}+\frac{1}{3}\frac{ger}{100}$	$\frac{\ln (\mathrm{y})-\ln (100)}{ln(40,000)-\ln (100)}$	GDP per capita	Arithmetic
2010	$\frac{x-20}{83.2-20}$	$\frac{1}{2}(\frac{mys}{15}+\frac{eys}{18})$	$\frac{\ln (\mathrm{y})-\ln (163)}{ln(108,211)-\ln (163)}$	GNI per capita	Geometric
2014	$\frac{x-20}{85-20}$	$\frac{1}{2}(\frac{mys}{15}+\frac{eys}{18})$	$\frac{\ln (\mathrm{y})-\ln (100)}{ln(75,000)-\ln (100)}$	GNI per capita	Geometric

NOTES: Formulas and parameters are taken from the Human Development Reports of the corresponding years. alr = Adult Literacy Rate; ger = Gross Education Rate; mys = Mean Years of Schooling; eys = Expected Years of Schooling. HDI = Human Development Index. LE = Life Expectancy.