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A payment stream that pays a continuous rate of 1000 + 50t at time t is received from time 5 to 10 years. The force

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A payment stream that pays a continuous rate of 1000 + 50t at time t is received from time 5 to 10 years. The force of interest from time 0 to time 5 is 0.06 and the force of interest from time 5 to 10 years is 0.04. Calculate the present value of the payment stream. Answer: $ 4602.16

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