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. Luangs 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. Luangs management has a required rate of return of 15% on its investment and a cash payback period of no more than 3 years.
Instructions: (Ignore income tax effects.)
(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? Why?