In: Accounting
Ink Enterprises provided the below two alternative investments being considered. Ink Enterprises requires a 7% return from its investments. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided.)
Project X1 Project X2 Initial investment $ (106,000 ) $ (172,000 ) Expected net cash flows in year: 1 38,000 79,500 2 48,500 69,500 3 73,500 59,500
a. Compute each project’s net present value.Compute each project’s net present value. (Round your final answers to the nearest dollar.)
b. Compute each project’s profitability index. If the company can choose only one project, which should it choose?Compute each project’s profitability index. If the company can choose only one project, which should it choose?
Answer- Net Present value - X1 Project = $31843
X2 Project = 11572
Explanation-
Calculation of Net Present Value (Project X1) | |||
Net Cash Flows $ (a) | Present Value of 1 at 7% (b) | Present Value of cash flows (c=a*b) $ | |
Year 1 | 38000 | 0.9346 | 35515 |
Year 2 | 48500 | 0.8734 | 42360 |
Year 3 | 73500 | 0.8163 | 59998 |
Totals | |||
Total present value of cash inflow (a) | 137873 | ||
Total cash outflow (b) | 106000 | 1 | 106000 |
Net Present Value $ (c=a-b) | 31873 | ||
Calculation of Net Present Value (Project X2) | |||
Net Cash Flows $ (a) | Present Value of 1 at 7% (b) | Present Value of cash flows (c=a*b) $ | |
Year 1 | 79500 | 0.9346 | 74301 |
Year 2 | 69500 | 0.8734 | 60701 |
Year 3 | 59500 | 0.8163 | 48570 |
Totals | |||
Total present value of cash inflow (a) | 183572 | ||
Total cash outflow (b) | 172000 | 1 | 172000 |
Net Present Value $ (c=a-b) | 11572 |
b)-
Calculation of Project Profitability Index | ||
Particulars | Project Number | |
X1 | X2 | |
Net Present Value $ (A) | 31843 | 11572 |
Investment required $ (B) | 106000 | 172000 |
Profitability Index C=A/B | 0.30 | 0.07 |
If the company can choose only one project, project X1 should be selected by company due to higher net present value & profitability index.