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1) At time t=0, 1 is deposited into each of Fund X and Fund Y. Fund X accumulates at a force of interest delta(t)=t2/k. Fund

1) At time t=0, 1 is deposited into each of Fund X and Fund Y. Fund X accumulates at a force of interest delta(t)=t2/k. Fund Y accumulates at a nominal rate of discount of 8% per annum, convertible semiannually. At time t=5, the accumulated value of Fund X equals the accumulated value of Fund Y. Determine k.

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