I need to calculate the present value of a level continuous annuity which pays $1000/mo. for 10 years. The force of interest is 5/(3+2t). I tried taking the integral of e^(integral of force of interest from 0 to t) but I couldn't seem to come up with the correct answer. The answer in the back of the book is 11434.71, but I don't see how this is possible. Any help would be greatly appreciated
2026-03-31 23:46:56.1775000816
Continuous Annuity Question
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Hint:
Try integrating:
$$12000\int^{10}_0e^{-\int^t_05/(3+2r)dr}dt$$