United Bankshores, Inc. wishes to evaluate three capital investment proposals by using the net present value method. Relevant data related to the proposals are summarized as follows:
Branch Office Expansion |
Computer System Upgrade |
Install Internet Bill-Pay |
|||||
Amount to be invested | $1,111,121 | $656,453 | $354,891 | ||||
Annual net cash flows: | |||||||
Year 1 | 425,000 | 315,000 | 183,000 | ||||
Year 2 | 395,000 | 284,000 | 126,000 | ||||
Year 3 | 361,000 | 252,000 | 92,000 |
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 6%, prepare a net present value analysis for each proposal. Use the present value of $1 table above. If required, use the minus sign to indicate a negative net present value. If required, round to the nearest dollar.
Branch Office Expansion | Computer System Upgrade | Install Internet Bill-Pay | |
Present value of net cash flow total | $ | $ | $ |
Amount to be invested | $ | $ | $ |
Net present value | $ | $ | $ |
2. Determine a present value index for each proposal. If required, round your answers to two decimal places.
Present Value Index | |
Branch Office Expansion | |
Computer System Upgrade | |
Install Internet Bill-Pay |
3. Which proposal offers the largest amount of present value per dollar of investment?
1) Net present value
Branch Office Expansion | Computer System Upgrad | Install Internet Bill-Pay | |
Present value of net cash flow total | 1055565 | 761485 | 361989 |
Amount to be invested | -$1,111,121 | -656453 | -354891 |
Net present value | -55556 | 105032 | 7098 |
Present value index6
Present value index | |
Branch Office Expansion | 1055565/1111121 =0.95 |
Computer System Upgrade | 761485/656453 = 1.16 |
Install Internet Bill-Pay | 361989/354891 = 1.02 |
3) Computer System Upgrade has the largest amount of present value per dollar of investment
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