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

Table 6.

The CCI under a doughnut hole with deductible amount d €1000 with various starting points s for the low-risk individuals and the high risk individuals

s	P(Y < s)^a	P(Y < s + d)^b	E(Y\|Y < s)^c	E(Y\|Y < s + d)^d	CCI
Low-risk individuals
0^e	0	0.63	0	296	187
500	0.48	0.73	157	420	230
1000	0.63	0.79	296	529	231
2000	0.79	0.88	529	709	199
2257	0.82	0.89	580	748	189
3000	0.88	0.92	709	846	159
4000	0.92	0.95	846	952	123
5000	0.95	0.97	952	1031	94
High-risk individuals
0^e	0	0.41	0	318	130
500	0.30	0.49	162	467	177
1000	0.41	0.55	318	609	200
2000	0.55	0.64	609	875	218
2257	0.57	0.65	680	940	219
3000	0.64	0.70	875	1119	218
4000	0.70	0.75	1119	1341	211
5000	0.75	0.78	1341	1545	200

^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 5)