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)