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5. (7 points) Suppose you want to set up an inheritance for your children that pays out 30000+1000t dollars per year after t years, and

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5. (7 points) Suppose you want to set up an inheritance for your children that pays out 30000+1000t dollars per year after t years, and you want this inheritance to last in perpetuity. If the prevailing continuous interest rate is 5%, then how much money must you put in the inheritance in order to match this income stream in perpetuity

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