Question: 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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