In: Finance
Blossom Inc., management is expecting a new project to start paying off, beginning at the end of next year. Cash flows are expected to be as follows: 0 1 2 3 4 5 $439,676 $488,452 $465,455 $467,326 $546,444 If Blossom can reinvest these cash flows to earn a return of 8.7 percent, what is the future value of this cash flow stream at the end of 5 years? What is its present value?
1] | FUTURE VALUE OF THE CASH FLOW STREAM: | |||
Year | Cash flows | FVIF at 8.7% | FV at 8.7% | |
0 | ||||
1 | $ 4,39,676 | 1.39611 | $ 6,13,834 | |
[1.087^4] | ||||
2 | $ 4,88,452 | 1.28437 | $ 6,27,351 | |
[1.087^3] | ||||
3 | $ 4,65,455 | 1.18157 | $ 5,49,967 | |
4 | $ 4,67,326 | 1.08700 | $ 5,07,983 | |
5 | $ 5,46,444 | 1.00000 | $ 5,46,444 | |
Future value of the cash flow stream | $ 28,45,579 | |||
FVIF = 1.087^t, where t = 4, 3, 2, 1 and 0 | ||||
2] | PRESENT VALUE OF THE CASH FLOW STREAM: | |||
Year | Cash flows | PVIF at 8.7% | PV at 8.7% | |
0 | ||||
1 | $ 4,39,676 | 0.91996 | $ 4,04,486 | |
[1/1.087] | ||||
2 | $ 4,88,452 | 0.84633 | $ 4,13,393 | |
[1/1.087^2] | ||||
3 | $ 4,65,455 | 0.77859 | $ 3,62,401 | |
4 | $ 4,67,326 | 0.71628 | $ 3,34,735 | |
5 | $ 5,46,444 | 0.65895 | $ 3,60,079 | |
Present value of the cash flow stream | $ 18,75,094 | |||
PVIF = 1/1.087^t, where t = 1, 2, 3, 4 and 5. |