Question

In: Accounting

Decision-Making Across the Organization CT25.1 Luang Company is considering the purchase of a new machine. Its...

Decision-Making Across the Organization CT25.1 Luang Company is considering the purchase of a new machine. Its invoice price is $122,000, freight charges are estimated to be $3,000, and installation costs are expected to be $5,000. Salvage value of the new machine is expected to be zero after a useful life of 4 years. Existing equipment could be retained and used for an additional 4 years if the new machine is not purchased. At that time, the salvage value of the equipment would be zero. If the new machine is purchased now, the existing machine would be scrapped. Luang's accountant, Lisa Hsung, has accumulated the following data regarding annual sales and expenses with and without the new machine.

1. Without the new machine, Luang can sell 10,000 units of product annually at a per unit selling price of $100. If the new unit is purchased, the number of units produced and sold would increase by 25%, and the selling price would remain the same.

2. The new machine is faster than the old machine, and it is more efficient in its usage of materials. With the old machine the gross profit rate will be 28.5% of sales, whereas the rate will be 30% of sales with the new machine. (Note: These gross profit rates do not include depreciation on the machines. For purposes of determining net income, treat depreciation expense as a separate line item.)

3. Annual selling expenses are $160,000 with the current equipment. Because the new equipment would produce a greater number of units to be sold, annual selling expenses are expected to increase by 10% if it is purchased.

4. Annual administrative expenses are expected to be $100,000 with the old machine, and $112,000 with the new machine.

5. The current book value of the existing machine is $40,000. Luang uses straight-line depreciation.

6. Luang's management has a required rate of return of 15% on its investment and a cash payback period of no more than 3 years.

a. Calculate the annual rate of return for the new machine. (Round to two decimals.)

b. Compute the cash payback period for the new machine. (Round to two decimals.)

c. Compute the net present value of the new machine. (Round to the nearest dollar.)

d. On the basis of the foregoing data, would you recommend that Luang buy the machine?

Solutions

Expert Solution

ANSWER

a
Annual rate of return Operating income/Investment
Annual rate of return 54500/90000
Annual rate of return 61%

Please note that in absence of information regarding sale price of Old assets, it is assumed that the Scrap price is equal to the book value of old assets.

b
Payback period Investment/Cash Flow
Payback period 90000/87000
Payback period 1.03 Years
c
PV of Inflows 87000*2.85498    248,383
Investment      90,000
Net Present value    158,383

d.

Yes, as it will earn us incremental Cash flow of 62,000 per Year with Net present value of 158,383 and the payback period of Initial investment is 1. 03 years.  

Workings:

New Machine Old Machine
Sale Units                   12,500                 10,000
Sales             1,250,000           1,000,000
Gross Profit(30% and 28.5%)                 375,000               285,000
Selling Expenses                 176,000               160,000
Admin Expesnes                 112,000               100,000
Annual cash Flow                   87,000                 25,000
Depreciation                   32,500           10,000.00
Net Operating Income                   54,500                 15,000
Purchase of a new machine          122,000
Freight              3,000
installation costs              5,000
Initial Investment          130,000
Scrap value of Old Machine            40,000
Relevant Investment            90,000
Depreciation            32,500
Year PV Factor
1 0.86957
2 0.75614
3 0.65752
4 0.57175
Annuity Factor 2.85498

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