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P5 Relationship between future value and present value: Mixed stream. Using the information in the accompanying table, answer the questions that follow. Year Cash flow
P5 Relationship between future value and present value: Mixed stream. Using the information in the accompanying table, answer the questions that follow. | |||||||||
Year | Cash flow | ||||||||
0 | $0 | ||||||||
1 | 800 | ||||||||
2 | 900 | ||||||||
3 | 1,000 | ||||||||
4 | 1,500 | ||||||||
5 | 2,000 | ||||||||
a. | Determine the present value of the mixed stream of cash flows, using a 5% discount rate. | ||||||||
b. | Suppose you had a lump sum equal to your answer in part a on hand today. If you invested this sum for 5 years and earned a 5% return each year, how much would you have after 5 years? | ||||||||
c. | Determine the future value 5 years from now of the mixed stream, using a 5% interest rate. Compare your answer here to your answers in part b. | ||||||||
d. | How much would you be willing to pay for this stream, assuming that you can at best earn 5% on your investments? | ||||||||
Answer - fill in the blue boxes below. | |||||||||
a. | Determine the present value of the mixed stream of cash flows, using a 5% discount rate. | ||||||||
Year | Cash Flow | ||||||||
1 | $800 | ||||||||
2 | $900 | ||||||||
3 | $1,000 | ||||||||
4 | $1,500 | ||||||||
5 | $2,000 | ||||||||
Annual rate of interest | 5% | ||||||||
Present value | |||||||||
b. | Suppose you had a lump sum equal to your answer in part a on hand today. If you invested this sum for 5 years and earned a 5% return each year, how much would you have after 5 years? | ||||||||
Return each year | Return after 5 years | Total Sum | |||||||
c. | Determine the future value 5 years from now of the mixed stream, using a 5% interest rate. Compare your answer here to your answers in part b. | ||||||||
Present value | $5,243 | ||||||||
Annual rate of interest | 5% | ||||||||
Number of years | 5.00 | ||||||||
Future value | |||||||||
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