9.1 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

9.4 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

9.6 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?

9.7 Consider another uneven cash flow stream:

a What is the present (Year 0) value of the cash flow stream if the opportunity cost rate is 10

percent?

b What is the value of the cash flow stream at the end of Year 5 if the cash flows are invested in

an account that pays 10 percent annually

9.9 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 beginning immediately. If

the rate of return on securities of similar risk to the lottery earnings (e.g., the

rate on 20-year U.S. Treasury bonds) is 6 percent, what is the present value of

your winnings?

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