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Using the method of equated time, a payment of 100 at time t = 1 plus a payment of X at time t = 10

Using the method of equated time, a payment of 100 at time t = 1 plus a payment of X at time t = 10 is equivalent to a payment of 100 + X at time t = 4. The above two payments of 100 and X are equivalent to a payment of 100 + X at time t = T using the exact method. Calculate T if the force of interest is delta = 0.07.

(A) 3.2 (B) 3.4 (C) 3.6 (D) 3.8 (E) 4.0

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