Question: Net Present Value Method, Present Value Index, and Analysis First United Bank Inc. is evaluating three capital investment projects using the net present value method.

Net Present Value Method, Present Value Index, and Analysis

First United Bank Inc. is evaluating three capital investment projects using the net present value method. Relevant data related to the projects are summarized as follows:

Branch Office Expansion Computer System Upgrade ATM Kiosk Expansion
Amount to be invested $754,749 $499,898 $249,409
Annual net cash flows:
Year 1 316,000 224,000 149,000
Year 2 294,000 202,000 103,000
Year 3 269,000 179,000 75,000

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 10%, 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 ATM Kiosk Expansion
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?

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