Year |
Cash Flow |
0 |
−$7,600 |
1 |
3,200 |
2 |
4,300 |
3 |
2,400 |
a. What is the profitability index for the cash flows if the relevant discount rate is 11 percent? |
b. What is the profitability index for the cash flows if the relevant discount rate is 16 percent? |
c. What is the profitability index for the cash flows if the relevant discount rate is 22 percent? |
a)
Present value = 3,200 / (1 + 0.11)1 + 4,300 / (1 + 0.11)2 + 2,400 / (1 + 0.11)3
Present value = $8,127.7187
Profitability index = Present value / initial investment
Profitability index = 8,127.7187 / 7,600
Profitability index = 1.069
b)
Present value = 3,200 / (1 + 0.16)1 + 4,300 / (1 + 0.16)2 + 2,400 / (1 + 0.16)3
Present value = $7,491.7996
Profitability index = Present value / initial investment
Profitability index = 7,491.7996 / 7,600
Profitability index = 0.986
c)
Present value = 3,200 / (1 + 0.22)1 + 4,300 / (1 + 0.22)2 + 2,400 / (1 + 0.22)3
Present value = $6,833.6557
Profitability index = Present value / initial investment
Profitability index = 6,833.6557 / 7,600
Profitability index = 0.899
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