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 | ||||||
Feel free to ask any clarification, if required. Kindly
provide feedback by thumbs up, if satisfied. It will be highly
appreciated.
Thank you.