Net present value method, present value index, and analysis for a service company Continental Railroad Company is evaluating three capital investment proposals by using the net present value method. Relevant data related to the proposals are summarized as follows: Line Item Description Maintenance Equipment Ramp Facilities Computer Network Amount to be invested $8,000,000 $20,000,000 $9,000,000 Annual net cash flows:          Year 1   4,000,000   12,000,000   6,000,000    Year 2   3,500,000   10,000,000   5,000,000    Year 3   2,500,000   9,000,000   4,000,000   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 20%, 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. Line Item Description Maintenance Equipment Ramp Facilities Computer Network Total present value of net cash flow $fill in the blank 1 $fill in the blank 2 $fill in the blank 3 Less 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. Line Item Description Present Value Index Maintenance Equipment fill in the blank 10 Ramp Facilities fill in the blank 11 Computer Network fill in the blank 12 3.  The fill in the blank 1 of 4    has the largest present value index. Although fill in the blank 2 of 4    has the largest net present value, it returns less present value per dollar invested than does the fill in the blank 3 of 4   , as revealed by the present value indexes. The present value index for the fill in the blank 4 of 4    is less than 1, indicating that it does not meet the minimum rate of return standard.

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Net present value method, present value index, and analysis for a service company

Continental Railroad Company is evaluating three capital investment proposals by using the net present value method. Relevant data related to the proposals are summarized as follows:

Line Item Description Maintenance Equipment Ramp Facilities Computer Network
Amount to be invested $8,000,000 $20,000,000 $9,000,000
Annual net cash flows:      
   Year 1   4,000,000   12,000,000   6,000,000
   Year 2   3,500,000   10,000,000   5,000,000
   Year 3   2,500,000   9,000,000   4,000,000

 

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 20%, 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.

Line Item Description Maintenance Equipment Ramp Facilities Computer Network
Total present value of net cash flow $fill in the blank 1 $fill in the blank 2 $fill in the blank 3
Less 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.

Line Item Description Present Value Index
Maintenance Equipment fill in the blank 10
Ramp Facilities fill in the blank 11
Computer Network fill in the blank 12

3.  The fill in the blank 1 of 4

 

 has the largest present value index. Although fill in the blank 2 of 4

 

 has the largest net present value, it returns less present value per dollar invested than does the fill in the blank 3 of 4

 

, as revealed by the present value indexes. The present value index for the fill in the blank 4 of 4

 

 is less than 1, indicating that it does not meet the minimum rate of return standard.

Expert Solution
Step 1: Meaning of NPV and determine the variables in the question:

NPV  is defined as the sum of the present values of all future cash inflows  less the sum of the present values of all cash outflows  associated with the project.


Variables in the question:

DescriptionMaintenance EquipmentRamp FacilitiesComputer Network
Amount to be invested ($)8000000200000009000000
Annual net cash flow


Year 1 ($)4000000120000006000000
Year 2 ($)3500000100000005000000
Year 3 ($)250000090000004000000

Desired rate of return is 20%

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