Question 8: uppose a certain property is expected to produce net operating cash flows annually as follows, at the end of each of the next five years: $35,000, $37,000, $45,000, $46,000, and $40,000. In addition, at the end of the fifth year we will assume the property will be (or could be) sold for $400,000, what is the highest price you would be willing to pay for this property? (ie. at what price does the net present value equal zero? ie. at what price is the IRR equal to the discount rate?)
A | $400,044 |
B | $400,000 |
C
$400,049 |
D | $375,000 |
year |
cash flow |
|
0 |
-400000 |
|
1 |
35000 |
|
2 |
37000 |
|
3 |
45000 |
|
4 |
46000 |
|
5 |
440000 |
|
IRR = Using IRR function in MS excel =IRR(-400000,35000,37000,45000,47000,440000) |
10.0542% |
|
year |
cash flow |
present value of cash flow = cash flow/(1+r)^n r= 10.0542% |
0 |
||
1 |
35000 |
31802.51 |
2 |
37000 |
30548.4 |
3 |
45000 |
33759.24 |
4 |
46000 |
31356.77 |
5 |
440000 |
272533.3 |
Maxium price for the project at IRR rate |
sum of present value of cash flow |
400000.2 |
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