In: Accounting
Net Present Value Method, Present Value Index, and Analysis
Donahue Industries Inc. wishes to evaluate three capital investment projects by using the net present value method. Relevant data related to the projects are summarized as follows:
Product Line Expansion |
Distribution Facilities |
Computer Network |
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Amount to be invested | $735,596 | $447,586 | $274,176 | ||||
Annual net cash flows: | |||||||
Year 1 | 362,000 | 250,000 | 156,000 | ||||
Year 2 | 337,000 | 225,000 | 108,000 | ||||
Year 3 | 308,000 | 200,000 | 78,000 |
Present Value of $1 at Compound Interest | |||||
Year | 6% | 10% | 12% | 15% | 20% |
1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |
2 | 0.890 | 0.826 | 0.797 | 0.756 | 0.694 |
3 | 0.840 | 0.751 | 0.712 | 0.658 | 0.579 |
4 | 0.792 | 0.683 | 0.636 | 0.572 | 0.482 |
5 | 0.747 | 0.621 | 0.567 | 0.497 | 0.402 |
6 | 0.705 | 0.564 | 0.507 | 0.432 | 0.335 |
7 | 0.665 | 0.513 | 0.452 | 0.376 | 0.279 |
8 | 0.627 | 0.467 | 0.404 | 0.327 | 0.233 |
9 | 0.592 | 0.424 | 0.361 | 0.284 | 0.194 |
10 | 0.558 | 0.386 | 0.322 | 0.247 | 0.162 |
Required:
1. Assuming that the desired rate of return is 15%, prepare a net present value analysis for each project. Use the present value of $1 table presented above in your computations. If the net present value is negative, enter a negative amount.
Product Line Expansion | Distribution Facilities | Computer Network | ||||
Present value of net cash flow total | $ | $ | $ | |||
Amount to be invested | ||||||
Net present value | $ | $ | $ |
2. Determine a present value index for each proposal. Round your answers to two decimal places.
Present Value Index (Rounded) | |
Product Line Expansion | |
Distribution Facilities | |
Computer Network |
3. The has the largest present value index. The has the lowest net present value and it returns present value per dollar invested than , as revealed by the present value indexes. The present value index for the is less than 1, indicating that it does not meet the minimum rate of return standard.
Product Line | Distribution | Computer Network | ||||||||
Year | PVF at 15% | Cashflow | PV of CF | Cashflows | PV of CF | Cashflows | PV at CF | |||
1 | 0.87 | 362000 | 314940 | 250000 | 217500 | 156000 | 135720 | |||
2 | 0.756 | 337000 | 254772 | 225000 | 170100 | 108000 | 81648 | |||
3 | 0.658 | 308000 | 202664 | 200000 | 131600 | 78000 | 51324 | |||
Present value of inflows | 772376 | 519200 | 268692 | |||||||
Less: Initial investment | 735596 | 447586 | 274176 | |||||||
NPV | 36780 | 71614 | -5484 | |||||||
Req 2. | ||||||||||
Profitability Index = Present value of inflows/ Initial investment | ||||||||||
PV of inflows | Investment | PI | ||||||||
Product Line | 772376 | 735596 | 1.05 | |||||||
Diistribution | 519200 | 447586 | 1.16 | |||||||
Computer network | 268692 | 274176 | 0.98 | |||||||
Req 3. | ||||||||||
the Distribution has the largest present value index. | ||||||||||
The product line has lowest NPV than Distribution | ||||||||||
The present value index for Computer network is less than 1, indicating it does not meet the minimum rate of return | ||||||||||