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say rate = 10%

50/1.1 = 45.45
50/1.1^2 =41.32

total covered = 86.77

50/1.1^3 = 37.56 --> total covered = 124.33 > 100

so DPB = 2 + (100-86.77)/ (124.33-86.77) = 2.352

(Linear interpolation for approximation).

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