Below you'll find two insurance charts that show the difference between
algebraic indices and exact indices. One chart is for Hi-Lo and the other
for K-O / TKO. Exact, floored, rounded and RC indices are all depth dependent
and their calculations involve a precise combinatorial analysis.
1) Hi-Lo
+--------------------------+-----------+-----------+-----------+-----------+-----------+
| I N S U R A N C E | 100% | 83.3% | 75% | 66.6% | 50% |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 1.416667 | 1.416667 | 1.416667 | 1.416667 | 1.416667 |
| | Exact TC Index | 1.368421 | 1.368421 | 1.368421 | 1.368421 | 1.368421 |
| 1D | Exact Floored Index | 2 | 2 | 2 | 2 | 2 |
| | Exact Rounded Index | 2 | 2 | 2 | 2 | 2 |
| | Exact RC Index | 1 | 1 | 1 | 1 | 2 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 2.375000 | 2.375000 | 2.375000 | 2.375000 | 2.375000 |
| | Exact TC Index | 2.400000 | 2.400000 | 2.400000 | 2.400000 | 2.400000 |
| 2D | Exact Floored Index | 2 | 2 | 2 | 2 | 2 |
| | Exact Rounded Index | 3 | 3 | 3 | 3 | 3 |
| | Exact RC Index | 1 | 3 | 3 | 3 | 4 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 2.694444 | 2.694444 | 2.694444 | 2.694444 | 2.694444 |
| | Exact TC Index | 2.761062 | 2.736842 | 2.736842 | 2.736842 | 2.736842 |
| 3D | Exact Floored Index | 3 | 3 | 3 | 3 | 3 |
| | Exact Rounded Index | 3 | 3 | 3 | 3 | 3 |
| | Exact RC Index | 1 | 4 | 5 | 5 | 6 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 2.854167 | 2.854167 | 2.854167 | 2.854167 | 2.854167 |
| | Exact TC Index | 2.906832 | 2.888889 | 2.888889 | 2.888889 | 2.888889 |
| 4D | Exact Floored Index | 3 | 3 | 3 | 3 | 3 |
| | Exact Rounded Index | 3 | 3 | 3 | 3 | 3 |
| | Exact RC Index | 1 | 6 | 6 | 7 | 8 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 2.950000 | 2.950000 | 2.950000 | 2.950000 | 2.950000 |
| | Exact TC Index | 2.980892 | 2.971429 | 2.971429 | 2.971429 | 2.971429 |
| 5D | Exact Floored Index | 3 | 3 | 3 | 3 | 3 |
| | Exact Rounded Index | 4 | 4 | 4 | 4 | 4 |
| | Exact RC Index | 2 | 7 | 8 | 9 | 10 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 3.013889 | 3.013889 | 3.013889 | 3.013889 | 3.013889 |
| | Exact TC Index | 3.071730 | 3.026455 | 3.026455 | 3.033333 | 3.040936 |
| 6D | Exact Floored Index | 3 | 3 | 3 | 3 | 3 |
| | Exact Rounded Index | 4 | 4 | 4 | 4 | 4 |
| | Exact RC Index | 4 | 8 | 9 | 10 | 12 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 3.059524 | 3.059524 | 3.059524 | 3.059524 | 3.059524 |
| | Exact TC Index | 3.072727 | 3.072727 | 3.072727 | 3.072727 | 3.072727 |
| 7D | Exact Floored Index | 3 | 3 | 3 | 3 | 3 |
| | Exact Rounded Index | 4 | 4 | 4 | 4 | 4 |
| | Exact RC Index | 6 | 10 | 11 | 12 | 14 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | 3.093750 | 3.093750 | 3.093750 | 3.093750 | 3.093750 |
| | Exact TC Index | 3.107570 | 3.099338 | 3.099338 | 3.099338 | 3.111111 |
| 8D | Exact Floored Index | 3 | 3 | 3 | 3 | 3 |
| | Exact Rounded Index | 4 | 4 | 4 | 4 | 4 |
| | Exact RC Index | 7 | 11 | 13 | 14 | 16 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
2) KO / TKO
+--------------------------+-----------+-----------+-----------+-----------+-----------+
| I N S U R A N C E | 100% | 83.3% | 75% | 66.6% | 50% |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -2.630952 | -2.630952 | -2.630952 | -2.630952 | -2.630952 |
| | Exact TC Index | -2.666667 | -2.666667 | -2.666667 | -2.666667 | -2.666667 |
| 1D | Exact Floored Index | -3 | -3 | -3 | -3 | -3 |
| | Exact Rounded Index | -2 | -2 | -2 | -2 | -2 |
| | Exact RC Index | 0 | -1 | -1 | -1 | -1 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -1.625000 | -1.625000 | -1.625000 | -1.625000 | -1.625000 |
| | Exact TC Index | -1.600000 | -1.600000 | -1.600000 | -1.600000 | -1.600000 |
| 2D | Exact Floored Index | -2 | -2 | -2 | -2 | -1 |
| | Exact Rounded Index | -1 | -1 | -1 | -1 | -1 |
| | Exact RC Index | 0 | -1 | -1 | -1 | -2 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -1.289683 | -1.289683 | -1.289683 | -1.289683 | -1.289683 |
| | Exact TC Index | -1.253012 | -1.253012 | -1.253012 | -1.268293 | -1.268293 |
| 3D | Exact Floored Index | -1 | -1 | -1 | -1 | -1 |
| | Exact Rounded Index | -1 | -1 | -1 | -1 | -1 |
| | Exact RC Index | 0 | -1 | -1 | -1 | -2 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -1.122024 | -1.122024 | -1.122024 | -1.122024 | -1.122024 |
| | Exact TC Index | -1.098592 | -1.098592 | -1.106383 | -1.106383 | -1.098592 |
| 4D | Exact Floored Index | -1 | -1 | -1 | -1 | -1 |
| | Exact Rounded Index | -1 | -1 | -1 | -1 | 0 |
| | Exact RC Index | 0 | -1 | -1 | -2 | -2 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -1.021429 | -1.021429 | -1.021429 | -1.021429 | -1.021429 |
| | Exact TC Index | -1.012987 | -1.012987 | -1.012987 | -1.012987 | -1.006452 |
| 5D | Exact Floored Index | -1 | -1 | -1 | -1 | -1 |
| | Exact Rounded Index | 0 | 0 | 0 | 0 | 0 |
| | Exact RC Index | 0 | -1 | -2 | -2 | -3 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -0.954365 | -0.954365 | -0.954365 | -0.954365 | -0.954365 |
| | Exact TC Index | -0.939759 | -0.939759 | -0.945455 | -0.945455 | -0.939759 |
| 6D | Exact Floored Index | -1 | -1 | -1 | -1 | -1 |
| | Exact Rounded Index | 0 | 0 | 0 | 0 | 0 |
| | Exact RC Index | 0 | -1 | -2 | -2 | -3 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -0.906463 | -0.906463 | -0.906463 | -0.906463 | -0.906463 |
| | Exact TC Index | -0.892704 | -0.896552 | -0.896552 | -0.896552 | -0.888889 |
| 7D | Exact Floored Index | -1 | -1 | -1 | -1 | -1 |
| | Exact Rounded Index | 0 | 0 | 0 | 0 | 0 |
| | Exact RC Index | 0 | -1 | -2 | -2 | -3 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
| | Algebraic Index | -0.870536 | -0.870536 | -0.870536 | -0.870536 | -0.870536 |
| | Exact TC Index | -0.863071 | -0.863071 | -0.863071 | -0.863071 | -0.859504 |
| 8D | Exact Floored Index | -1 | -1 | -1 | -1 | -1 |
| | Exact Rounded Index | 0 | 0 | 0 | 0 | 0 |
| | Exact RC Index | 0 | -2 | -2 | -3 | -4 |
+----+---------------------+-----------+-----------+-----------+-----------+-----------+
Enjoy the charts!
Sincerely,
Cacarulo
PS: The value of this post is purely academic. Anyone with the aid of an index generator
could get exact floored, rounded and RC indices. What you can't get by simulation are
the other two indices.
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