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Average Rate of Return Method, Net Present Value Method, and Analysis The capital investment committee of...

  1. Average Rate of Return Method, Net Present Value Method, and Analysis

    The capital investment committee of Ellis Transport and Storage Inc. is considering two investment projects. The estimated income from operations and net cash flows from each investment are as follows:

    Warehouse Tracking Technology
    Year Income from
    Operations
    Net Cash
    Flow
    Income from
    Operations
    Net Cash
    Flow
    1 $42,500 $139,000 $89,000 $222,000
    2 42,500 139,000 68,000 188,000
    3 42,500 139,000 34,000 132,000
    4 42,500 139,000 15,000 90,000
    5 42,500 139,000 6,500 63,000
    Total $212,500 $695,000 $212,500 $695,000

    Each project requires an investment of $500,000. Straight-line depreciation will be used, and no residual value is expected. The committee has selected a rate of 10% for purposes of 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 average rate of return for each investment. If required, round your answer to one decimal place.

    Average Rate of Return
    Warehouse %
    Tracking Technology %

    1b. Compute the net present value for each investment. Use the present value of $1 table above. If required, use the minus sign to indicate a negative net present value.

    Warehouse Tracking Technology
    Present value of net cash flow total $ $
    Less amount to be invested $ $
    Net present value $ $

    2. The warehouse has a   net present value as tracking technology cash flows occur   in time. Thus, if only one of the two projects can be accepted, the   would be the more attractive.

Solutions

Expert Solution

1a
Average net income 42500 =212500/5
Average investment 250000 =500000/2
Average Rate of Return
Warehouse 17% =42500/250000
Tracking Technology 17% =42500/250000
1b
Warehouse Tracking Technology
Present value of net cash flow total 526810 556811
Less amount to be invested 500000 500000
Net present value 26810 56811
2
The warehouse has a less net present value as tracking technology cash flows occur earlier in time. Thus, if only one of the two projects can be accepted, the tracking technology would be the more attractive.
Workings:
Warehouse:
Net cash flow PV factor Present value
1 139000 0.909 126351
2 139000 0.826 114814
3 139000 0.751 104389
4 139000 0.683 94937
5 139000 0.621 86319
Total 526810
Tracking Technology:
Net cash flow PV factor Present value
1 222000 0.909 201798
2 188000 0.826 155288
3 132000 0.751 99132
4 90000 0.683 61470
5 63000 0.621 39123
Total 556811

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