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. 2016 Nov 14;18(8):987–1000. doi: 10.1007/s10198-016-0843-9

Table 4.

The CCI under a doughnut hole with deductible amount d €1000 with various starting points s for the full sample

s P(Y < s)a P(Y < s + d)b E(Y|Y < s)c E(Y|Y < s + d)d CCI
0e 0 0.57 0 302 171
500 0.43 0.66 158 433 215
1000 0.57 0.73 302 551 222
2000 0.73 0.81 551 755 204
2257 0.75 0.82 607 801 197
3000 0.81 0.86 755 921 175
4000 0.86 0.89 921 1059 147
5000 0.89 0.92 1058 1173 123

aThe probability that healthcare expenses remain below the starting point of the deductible

bThe probability that healthcare expenses remain below the endpoint of the deductible

cThe expected expenses given that they end up in the interval [0, s]

dThe expected expenses given that they end up in the interval [0, s + d]

eA doughnut hole with a starting point of €0 is effectively a first-euro deductible; the CCI and related probabilities and expected expenses are identical (see Table 3)