let me give you another interesting scenario for a 2x inverse etf
suppose both A and B start from 100, and A goes down 10 days in a row, 10 percent each day, B will be up 20% for each day, at the end of 10 days you will have A approximately at 34.5, B approximately at 622, from long term point A is down 65.5% but B is up 6 fold
now from here suppose A went up 25% 3 days in a row, B will bedown 50% for each of those days, we will have A approximately 67.5 and B at 78
during the first 25% up day a small 8.5 point up in A will cause 311 point drop in B
so from the starting of our scenario A is down 32.5, and B is DOWN as well, 22%, still fully having given you inverse double performance of A
i haven't double checked the numbers, here is the calculation
100 100
-10 +20
90 120
-10 +20
81 144
-10 +20
72.9 172.8
-10 +20
65.61 207.36
-10 +20
58.5 249
-10 +20
52.65 300
-10 +20
47.4 360
-10 + 20
42.66 432
-10 +20
38.4 518
-10 +20
34.5 621.6
+ 25 - 50
43 311
+ 25 - 50
54 155.5
+25 -50
67.5 78
suppose both A and B start from 100, and A goes down 10 days in a row, 10 percent each day, B will be up 20% for each day, at the end of 10 days you will have A approximately at 34.5, B approximately at 622, from long term point A is down 65.5% but B is up 6 fold
now from here suppose A went up 25% 3 days in a row, B will bedown 50% for each of those days, we will have A approximately 67.5 and B at 78
during the first 25% up day a small 8.5 point up in A will cause 311 point drop in B
so from the starting of our scenario A is down 32.5, and B is DOWN as well, 22%, still fully having given you inverse double performance of A
i haven't double checked the numbers, here is the calculation
100 100
-10 +20
90 120
-10 +20
81 144
-10 +20
72.9 172.8
-10 +20
65.61 207.36
-10 +20
58.5 249
-10 +20
52.65 300
-10 +20
47.4 360
-10 + 20
42.66 432
-10 +20
38.4 518
-10 +20
34.5 621.6
+ 25 - 50
43 311
+ 25 - 50
54 155.5
+25 -50
67.5 78