compute the p1 statistic for project z and advise the firm whether to accept or
ID: 2723704 • Letter: C
Question
compute the p1 statistic for project z and advise the firm whether to accept or reject the project with the cash flows shown as follows if the appropriate cost of capitals is 10 percent. Project Z Time 0 to -$1,000 Time 1 to $350 Time 2 to $380 Time 3 to $420 Time 4 to $300 Time 5 to $100 a. project's p1 is 8.48 % and the project should be accepted b. project's p1 is 8.48% and should be rejected c. project's p1 is 16.48% and the project should be accepted d. project's p1 is 21.48% and should be accepted
Explanation / Answer
Year
Cash flow
Present value factor @ 10%
Present value of cash flows
0
-$ 1,000.00
1
-$ 1,000.00
1
$ 350.00
1.1000
$ 318.18
2
$ 380.00
1.2100
$ 314.05
3
$ 420.00
1.3310
$ 315.55
4
$ 300.00
1.4641
$ 204.90
5
$ 100.00
1.6105
$ 62.09
$ 214.77
Net present value = $214.77
P1 Statistic = Net present value/Initial cash flow = $214.77/$1000 = 0.21477 = 21.48%
Hence answer is d. project's p1 is 21.48% and should be accepted.
Year
Cash flow
Present value factor @ 10%
Present value of cash flows
0
-$ 1,000.00
1
-$ 1,000.00
1
$ 350.00
1.1000
$ 318.18
2
$ 380.00
1.2100
$ 314.05
3
$ 420.00
1.3310
$ 315.55
4
$ 300.00
1.4641
$ 204.90
5
$ 100.00
1.6105
$ 62.09
$ 214.77
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