1. Find the following values for a lump sum assuming annual compounding:
   • The future value of $500 invested at 8 percent for one year
   • The future value of $500 invested at 8 percent for five years
   • The present value of $500 to be received in one year when the opportunity cost rate is 8 percent.
   • The present value of $500 to be received in five years when the opportunity cost rate is 8 percent.
2. Find the following values assuming a regular, or ordinary, annuity:
   • The present value of $400 per year for ten years at 10 percent
   • The future value of $400 per year for ten years at 10 percent
   • The present value of $200 per year for five years at 5 percent
   • The future value of $200 per year for five years at 5 percent
3. Consider an uneven cash flow stream:

Year	Cash Flow
0	$2,000
1	$2,000
2	$0
3	$1,500
4	$2,500
5	$4,000

1. 1. • What is the present (Year 0) value of the cash flow stream if the opportunity cost rate is 10 percent?
      • 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?
      • What cash flow today (Year 0), in lieu of the $2,000 cash flow, would be needed to accumulate $20,000 at the end of Year 5? (Assume that the cash flows for Years 1 through 5 remain the same.)
2. PLEASE SHOW ALL OF YOUR WORK!!!!!!!