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At time 0, $20,000 is deposited into Fund X, which accumulates at a varying force of interest of 0.09 -0.004t. At time 0, $15
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Answer. b) 10.32%
We will equate the accumulated value of fund X and accumulated value of fund Y.

Accumulated amount of Fundx = 20000 x enh (0.09-0.04t dt = 20000 x exh(0.091-0.004th] 20000 x exh [ 0.9 -0.2-o] 2 = 2000 e $

Let S be the force of interest for last 5 years, Accumulated Value of Fund y = 15000x (to 0989) x exh sdt lo 5 58 = 24037. Le

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