Gce Model Questions Vol1 2025 Economics Question 40

The Human Development Index (HDI) is the geometric mean of three dimension indices: health, education and income. - Health index: \(I_{h} = \dfrac{LE - 20}{85 - 20}\) where \(LE\) is life expectancy (years). - Education index: \(I_{e} = \dfrac{\dfrac{MYS}{15} + \dfrac{EYS}{18}}{2}\) with mean years of schooling \(MYS = 6\) and expected years \(EYS = 12\). - Income index: \(I_{i} = \dfrac{\ln(GNI) - \ln(100)}{\ln(75\,000) - \ln(100)}\) where \(GNI = 30\,000\) naira. The country's current HDI is 0.620. The government aims to raise HDI to 0.700 within ten years, assuming the education and income indices remain unchanged. What minimum life expectancy (in years, to one decimal place) must be achieved to meet the target?