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At time 0, 100 is deposited into Fund X and also into Fund Y . Fund X accumulates at a force of interest t =

At time 0, 100 is deposited into Fund X and also into Fund Y . Fund X accumulates at a force of interest t = 0.5(1 + t)^2 . Fund Y accumulates at an annual effective interest rate of i. At the end of 9 years, the accumulated value of Fund X equals the accumulated value of Fund Y . Determine i.

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