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Healthcare plan payoff curve
data = [
[0, premium, "Premium"],
[deductible, deductible + premium, "Deductible"],
[maxCosts, oopMax + premium, "Out-of-pocket max"],
]
dataPadded = [
...data,
[xDomain[1], data[data.length - 1][1]]
]
xDomain = d3.extent([...data.map(d => d[0]), 0, 15000])
yDomain = d3.extent([...data.map(d => d[1]), 0, 6000])
// deductible + coinsurance * (maxCosts - deductible) = oopMax
maxCosts = ((coinsurance - 1) * deductible + oopMax) / coinsurance
fn = x => {
let y = premium;
y += Math.min(x, deductible);
x = Math.max(0, x - deductible);
if (x === 0) return y;
y += x * coinsurance;
return Math.min(y, oopMax + premium);
}
randomCosts = d3.range(1000).map(d3.randomExponential(.001))
histogramThresholds = d3.range(0, 6000, 500)
histogramDomain = [0, 5000]
arrows = {
const aBins = d3.bin().domain(histogramDomain).thresholds(histogramThresholds)(randomCosts)
const bBins = d3.bin().domain(histogramDomain).thresholds(histogramThresholds)(randomCosts.map(fn))
const arrows = [];
for (let i = 0; i < aBins.length; i++) {
const {x0, x1} = aBins[i];
const y1 = aBins[i].length;
const y2 = bBins[i].length;
arrows.push({x: (x0 + x1) / 2, y1, y2});
}
return arrows;
}
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