In: Accounting
(Present
value of an uneven stream of
payments)
You are given three investment alternatives to analyze. The cash flows from these three investments are as follows:
Investment |
|||||||||
End of Year |
A |
B |
C |
||||||
1 |
$ |
1 comma 0001,000 |
$ |
3 comma 0003,000 |
$ |
6 comma 0006,000 |
|||
2 |
|
2 comma 0002,000 |
3 comma 0003,000 |
6 comma 0006,000 |
|||||
3 |
|
3 comma 0003,000 |
3 comma 0003,000 |
( 6 comma 000 )(6,000) |
|||||
4 |
|
( 4 comma 000 )(4,000) |
3 comma 0003,000 |
( 6 comma 000 )(6,000) |
|||||
5 |
|
4 comma 0004,000 |
7 comma 0007,000 |
|
16 comma 00016,000 |
What is the present value of each of these three investments if the appropriate discount rate is
1111
percent?
a. What is the present value of investment A at an annual discount rate of
1111
percent?
$nothing
(Round to the nearest cent.)
Calculation of Present value of each project :- | |||||||
Project A | Project B | Project C | |||||
Year | Cash Flows | Present Value @11% | Cash Flows | Present Value @11% | Cash Flows | Present Value @11% | |
a | b | c = b/1.11^a | d | e = d/1.11^a | f | g = f/1.11^a | |
1 | $ 1,000.00 | $ 900.90 | $ 3,000.00 | $ 2,702.70 | $ 6,000.00 | $ 5,405.41 | |
2 | $ 2,000.00 | $ 1,623.24 | $ 3,000.00 | $ 2,434.87 | $ 6,000.00 | $ 4,869.73 | |
3 | $ 3,000.00 | $ 2,193.57 | $ 3,000.00 | $ 2,193.57 | $ (6,000.00) | $ (4,387.15) | |
4 | $ (4,000.00) | $ (2,634.92) | $ 3,000.00 | $ 1,976.19 | $ (6,000.00) | $ (3,952.39) | |
5 | $ 4,000.00 | $ 2,373.81 | $ 7,000.00 | $ 4,154.16 | $ 16,000.00 | $ 9,495.22 | |
Total | Present value | $ 4,456.60 | $ 13,461.50 | $ 11,430.83 | |||
Present value of investment A at an annual discount rate of 1111 percent? | $ 4,456.60 |
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Thank you.