2. Let the force of interest be 8(t) = 0.06 when t is between 0 and 10 and 8(t) = 0.06+.01(t-10) for t>10 a. Calculate the present value of $1 paid at time 15 b. Calculate the annual effective rate of discount that would produce an equivalent present value. c. Calculate the present value at time 0 of an income stream of size e-0.071 paid between time 1 and time 4.

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