Help with Actuarial Science Problem

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$Old$ October 24th, 2009, 08:59 AM

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$Default$ Help with Actuarial Science Problem

The force of interest is : δ(t) = 0.05 + 0.001t + 0.0001t²
We were asked to calculate the total at time 10 of the accumulate proceeds of an investment of R100 at time 0 plus an investment of R100 at time 5.
This I correctly calculated to be R316.45.
However now it asks for the equivalent constant force of interest earned on the transaction. The answer is 5.97%... Please can somebody help me or give me some tips on how to get to this answer...

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