In: Finance
Using an excel document and formula: Cannonier, Inc., has identified an investment project with the following cash flows. If the discount rate is 8 percent, what is the future value of these cash flows in Year 4? What is the future value at a discount rate of 11 percent? At 24 percent?
Year Cash Flow 1 $1,225
Year 2 1,345
Year 3 1,460
Year 4 1,590
Future Value = Present Value*((1+r)^t) | ||||||
1) | where r is the interest rate that is .08 and t is the time period in years. | |||||
Future value of these cash flows in year 4 = sum of the future values | ||||||
t | 3 | 2 | 1 | 0 | ||
Year | 1 | 2 | 3 | 4 | ||
cash flow | 1225 | 1345 | 1460 | 1590 | ||
future value | 1543.147 | 1568.808 | 1576.8 | 1590 | ||
Future value of these cash flows in year 4 | 6278.755 | |||||
If the discount rate is 8 percent, the future value of these cash flows in Year 4 is $6278.76. | ||||||
2) | where r is the interest rate that is .11 and t is the time period in years. | |||||
Future value of these cash flows in year 4 = sum of the future values | ||||||
t | 3 | 2 | 1 | 0 | ||
Year | 1 | 2 | 3 | 4 | ||
cash flow | 1225 | 1345 | 1460 | 1590 | ||
future value | 1675.348 | 1657.175 | 1620.6 | 1590 | ||
Future value of these cash flows in year 4 | 6543.122 | |||||
If the discount rate is 11 percent, the future value of these cash flows in Year 4 is $6543.12. | ||||||
3) | where r is the interest rate that is .24 and t is the time period in years. | |||||
Future value of these cash flows in year 4 = sum of the future values | ||||||
t | 3 | 2 | 1 | 0 | ||
Year | 1 | 2 | 3 | 4 | ||
cash flow | 1225 | 1345 | 1460 | 1590 | ||
future value | 2335.614 | 2068.072 | 1810.4 | 1590 | ||
Future value of these cash flows in year 4 | 7804.086 | |||||
If the discount rate is 24 percent, the future value of these cash flows in Year 4 is $7804.09. |