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Cash Payback Period, A method of analysis of proposed capital investments that focuses on the present...

  1. Cash Payback Period, A method of analysis of proposed capital investments that focuses on the present value of the cash flows expected from the investments.Net Present Value Method, and Analysis

    Elite Apparel Inc. is considering two investment projects. The estimated net cash flows from each project are as follows:

    Year Plant Expansion Retail Store Expansion
    1 $149,000 $125,000
    2 122,000 146,000
    3 105,000 100,000
    4 95,000 70,000
    5 30,000 60,000
    Total $501,000 $501,000

    Each project requires an investment of $271,000. A rate of 15% has been selected for the net present value analysis.

    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:

    1a. Compute the cash payback period for each project.

    Cash Payback Period
    Plant Expansion
    • 1 year
    • 2 years
    • 3 years
    • 4 years
    • 5 years
    Retail Store Expansion
    • 1 year
    • 2 years
    • 3 years
    • 4 years
    • 5 years

    1b. Compute the net present value. Use the present value of $1 table above. If required, round to the nearest dollar.

    Plant Expansion Retail Store Expansion
    Total present value of net cash flow $ $
    Less amount to be invested
    Net present value $ $

    2. Because of the timing of the receipt of the net cash flows, the

    • plant expansion
    • retail store expansion
    offers a higher
    • net present value
    • net cash flow

Solutions

Expert Solution

1a
Cash Payback Period
Plant Expansion 2 years (149000+122000)
Retail Store Expansion 2 years (125000+146000)
1b
Plant Expansion Retail Store Expansion
Total present value of net cash flow 360202 354786
Less amount to be invested 271000 271000
Net present value 89202 83786
2
Because of the timing of the receipt of the net cash flows, the plant expansion offers a higher net present value
Workings:
Plant Expansion Retail Store Expansion
Cash flows PV factor 15% Present value Cash flows PV factor 15% Present value
1 149000 0.870 129630 125000 0.870 108750
2 122000 0.756 92232 146000 0.756 110376
3 105000 0.658 69090 100000 0.658 65800
4 95000 0.572 54340 70000 0.572 40040
5 30000 0.497 14910 60000 0.497 29820
Total 360202 Total 354786

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