Year | Cash Flow |
0 | −$9,700 |
1 | 3,800 |
2 | 4,600 |
3 | 5,000 |
Required : |
(a) | What is the profitability index for the cashflows if the relevant discount rate is 11 percent? |
(b) | What is the profitability index for the cashflows if the relevant discount rate is 16 percent? |
(c) | What is the profitability index for the cashflows if the relevant discount rate is 21 percent? |
The profitability index is defined as the PV of the cash inflows divided by the PV of the cash outflows.
(a) The equation for the profitability index at a required return of 11 percent is:
PI = ($3,800 / 1.11 + $4,600 / 1.112 + $5,000 / 1.113) / $9,700 = 1.115
(b) The equation for the profitability index at a required return of 16 percent is:
PI = ($3,800 / 1.16 + $4,600 / 1.162 + $5,000 / 1.163) / $9,700 = 1.020
(c) The equation for the profitability index at a required return of 21 percent is:
PI = ($3,800 / 1.21 + $4,600 / 1.212 + $5,000 / 1.213) / $9,700 = 0.939
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