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In: Finance

Blossom Inc., management is expecting a new project to start paying off, beginning at the end...

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?

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Expert Solution

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.

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