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UPH provides a retirement plan to its employees that gives out $800 a year forever, with the first payment starting next year. Assume i=8.6%. (a)

UPH provides a retirement plan to its employees that gives out $800 a year forever, with the first payment starting next year. Assume i=8.6%.
(a) Calculate the present value of this retirement plan.
(b) Suppose that the market yield rate decreases by 0.6%, what is the absolute exact change in the present value?
(c) Given your answer in (b), what is the modified duration of this retirement plan?

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