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Annual Compounding

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Please answer all questions. Show all your work. Each question has a different point value. PROBLEM 1 (2 points) | | | | | | | Find the following values for a lump sum assuming annual compounding: | | a. The future value of $500 invested at 8 percent for one year | | | b. The future value of $500 invested at 8 percent for five years | | | c. The present value of $500 to be received in one year when the opportunity cost rate is 8 percent | d. The present value of $500 to be received in five years when the opportunity cost rate is 8 percent | | | | | | | | | PROBLEM 2 (2 points) | | | | | Find the following values assuming a regular, or ordinary, annuity: | a. The present value of $400 per year for ten years at 10 percent | b. The future value of $400 per year for ten years at 10 percent | c. The present value of $200 per year for five years at 5 percent | d. The future value of $200 per year for five years at 5 percent | | | | | | | PROBLEM 3 (3 points) | | | | | | | | Consider the following uneven cash flow stream: | | | | | | | | | | | | | | | Year | Cash Flow | | | | | | | | 0 | $0 | | | | | | | | 1 | $250 | | | | | | | | 2 | $400 | | | | | | | | 3 | $500 | | | | | | | | 4 | $600 | | | | | | | | 5 | $600 | | | | | | | | | | | | | | | | a. What is the present (Year 0) value if the opportunity cost (discount) rate is 10 percent? (4 points) | | b. Add an ouflow (or cost) of $1,000 at Year 0. What is the present value (or net present value) of the | stream? (2 points) | | | | | | | | | | | | | | | | | | PROBLEM 4 (1 points) | | | | | | | Assume that you just won $35 million in the Florida lottery, and hence the state will pay you 20 | annual payments of $1.75 million each

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