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1) You are considering partial retirement. To do so you need to use part of your savings to supplement your income for the next five years. Suppose you need an extra $15,000 per year. What lump sum do you have to invest now to supplement your income for five years? Assume that your minumum desired rate of return is 16% compounded annually.

2) You have always dreamed of taking a trip to Machu Pichu. What lump sum do you have to invest today to have the $12,000 needed for the trip in three years? Assume that you can invest the money at 10%.

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