What GDP per capita do today's LMICs need to enable prosperous households?
An affordability test for the appliances and energy that define a modern household.
The setup
Three ingredients, one closed-form answer.
We define a bundle of household appliances, electrified mobility, and the power to run them — the basics of what a prosperous family would expect to own and use.
We model a typical household as the 20th household income percentile of a lognormal distribution shaped by the country's Gini coefficient.
We back-solve for the average GDP per capita at which the bundle's annual cost equals 12% of that household's income — the affordability threshold.
Line up 20 households from poorest to richest. The 4th from the left sits at the 20th household income percentile — the household we test.
The smoothed math behind the lineup — a lognormal income distribution. Amber shaded region = bottom 20%.
k = income-percentile multiplier — the ratio of the chosen-percentile household's income to the population mean. Derived from the Gini coefficient and the chosen percentile.
At default assumptions, the model implies
$0
GDP per capita to make the bundle affordable for the household at the 20th income percentile, at a 12% affordability threshold.
What is the affordability threshold?
The maximum share of monthly household disposable income (after taxes and net of transfers) that the appliance bundle — capital amortization + electricity — is allowed to consume. At 12%, the test household spends roughly $1 of every $8 of take-home pay on these line items, leaving the other 88% for housing, food, transport operating costs (fuel, maintenance, insurance), healthcare, education, savings, and everything else.
Default scenario. Sensitivities below.
Which assumptions matter most?
Below are seven assumptions tested across defensible low / high ranges. Bars show how the Required GDP per capita moves when that single input shifts, with all others held at default.
The two biggest levers: affordability threshold and how deeply prosperity reaches.
Each cell shows the average GDP per capita required at a given affordability threshold (rows) and household income percentile (columns).
Distribution shape stress test.
How does the answer move as the country's income inequality (Gini) and the chosen household income percentile vary?
Stress-test the model yourself.
Adjust any assumption on the left. Headline output and the tornado chart on the right update live.
Distribution & demographics
Economic environment
Affordability rule
E-mobility
Bundle composition
Required GDP per capita
$0
Bundle cost: $— /month at —% of HH income.
Live tornado