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The rate function for a continuous perpetuity is given by 10t, if 0 < t < 10, 100, if t > 10, where t is

The rate function for a continuous perpetuity is given by

10t, if 0 < t < 10,

100, if t > 10, where t is measured in years.

Calculate the present value of this perpetuity if the effective annual interest rate is 8%

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