1. You decide to give SCU an endowment that will pay out $50 K per year forever,with a continuously compounded annual increase of 3%. Assuming that you canlock in an interest rate of 5%, gure out how much this endowment would cost.What is the total value of this income stream? 2.Suppose Aunt Grace wanted to give annual increases of $2,000 per year. How would this change the computations above? Give values for the amount Aunt Grace would have to pay to fund the income stream for 25 years, 50 years, 100years, 200 years, and forever. (Hint: You need only integrate by parts once.) 3. In addition to the $1 M already deposited there by Aunt Grace, how much would Aunt Margaret have to add to the fund to enableit to pay out an income stream ofR(t) = 60 +t forever
1. You decide to give SCU an endowment that will pay out $50 K per year forever,with a continuously compounded annual increase of 3%. Assuming that you canlock in an interest rate of 5%, gure out how much this endowment would cost.What is the total value of this income stream?
2.Suppose Aunt Grace wanted to give annual increases of $2,000 per year. How would this change the computations above? Give values for the amount Aunt Grace would have to pay to fund the income stream for 25 years, 50 years, 100years, 200 years, and forever. (Hint: You need only integrate by parts once.)
3. In addition to the $1 M already deposited there by Aunt Grace, how much would Aunt Margaret have to add to the fund to enableit to pay out an income stream ofR(t) = 60 +t forever?
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