Freddy's BBQ, a Washington D.C. area ribs joint which caters to high level politicians, is looking to open a new franchise in Philadelphia. They anticipate that the new restaurant will cost $20.7 M to open today, but will produce cash flows of $6.9 M, $8.5 M, and $7.4 M over the next three years, respectively. What is the profitability index of this investment given a 14.09% required return?
Ans 0.85
Year | Project A (i) | DF@ 14.09% | DF@ 14.09% (ii) | PV of Project A ( (i) * (ii) ) | |
1 | 6.9 | 1/(1+14.09%)^1 | 0.877 | 6.05 | |
2 | 8.5 | 1/(1+14.09%)^2 | 0.768 | 6.53 | |
3 | 7.4 | 1/(1+14.09%)^3 | 0.673 | 4.98 | |
PV | 17.56 | ||||
Total of PV of Cash Inflows | 17.56 | ||||
Cash Outflows | 20.7 | ||||
Profitability Index = | 0.85 | ||||
Present value of cash Inflow / Initial Investment (Cash Outflows) | (17.56 / 20.7) |
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