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Net Present Value Method, Present Value Index, and Analysis for a Service Compan

ID: 2779137 • Letter: N

Question

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:

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.

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

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

Explanation / Answer

Present value of Net Cash Inflow:

Year

Discounting @20%

Maintenance Equipment

Ramp Facilities

Computer Network

Cash Flow

NPV

Cash Flow

NPV

Cash Flow

NPV

1

0.833

$            4,000,000

$    3,332,000

$        12,000,000

$       9,996,000

$          6,000,000

$       4,998,000

2

0.694

$            3,500,000

$    2,429,000

$        10,000,000

$       6,940,000

$          5,000,000

$       3,470,000

3

0.579

$            2,500,000

$    1,447,500

$          9,000,000

$       5,211,000

$          4,000,000

$       2,316,000

Total

$      10,000,000

$    7,208,500

$    31,000,000

$    22,147,000

$   15,000,000

$    10,784,000

Maintenance Equipment

Ramp Facilities

Computer Network

Present value of net cash flow total

$    7,208,500

$    22,147,000

$    10,784,000

Less amount to be invested

$       8,000,000

$        20,000,000

$          9,000,000

Net present value

$         -791,500

$          2,147,000

$          1,784,000

Present Value Index

Maintenance Equipment

0.90

Ramp Facilities

1.11

Computer Network

1.20

Year

Discounting @20%

Maintenance Equipment

Ramp Facilities

Computer Network

Cash Flow

NPV

Cash Flow

NPV

Cash Flow

NPV

1

0.833

$            4,000,000

$    3,332,000

$        12,000,000

$       9,996,000

$          6,000,000

$       4,998,000

2

0.694

$            3,500,000

$    2,429,000

$        10,000,000

$       6,940,000

$          5,000,000

$       3,470,000

3

0.579

$            2,500,000

$    1,447,500

$          9,000,000

$       5,211,000

$          4,000,000

$       2,316,000

Total

$      10,000,000

$    7,208,500

$    31,000,000

$    22,147,000

$   15,000,000

$    10,784,000