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:

Survey of Accounting (Accounting I)
8th Edition
ISBN:9781305961883
Author:Carl Warren
Publisher:Carl Warren
Chapter15: Capital Investment Analysis
Section: Chapter Questions
Problem 15.3.1P
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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 $563,602   $407,841   $234,202  
Annual net cash flows:            
  Year 1 312,000   228,000   147,000  
  Year 2 290,000   205,000   101,000  
  Year 3 265,000   182,000   74,000  

 

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 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 $fill in the blank 1 $fill in the blank 2 $fill in the blank 3
Amount to be invested $fill in the blank 4 $fill in the blank 5 $fill in the blank 6
Net present value $fill in the blank 7 $fill in the blank 8 $fill in the blank 9

 

2.  Determine a present value index for each proposal. If required, round your answers to two decimal places.

  Present Value Index
Branch Office Expansion fill in the blank 10
Computer System Upgrade fill in the blank 11
Install Internet Bill-Pay fill in the blank 12

3.  Which proposal offers the largest amount of present value per dollar of investment?
 

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