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A payment stream pays continuously at rate t = t2 + 3t at time t and is received from time 0 to time 10 years.

A payment stream pays continuously at rate t = t2 + 3t at time t and is received from time 0 to time 10 years. If the force of interest is given by t = 0.01 + 0.001t, what is the present value at time 0 of the payment stream?

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