Question #236820

A worldwide cosmetics company can upgrade the quality of one of its products by

purchasing new equipment at a cost of K155,000. The new equipment would replace

old equipment that has a current market value of K23,000. The old equipment originally

cost K180,000 and was three quarters depreciated. If the old equipment was used for

an additional 12 years, its salvage value at that time would be K5,000. The new

equipment has an expected life of 12 years. Its salvage value is estimated at K30,000.

By upgrading the quality of this product, the company would be able to increase the sale

price. As a result, the operating income before tax will increase by K20,000 per year for

the first 3 years, and by K25,000 per year during the last 9 years.

The company’s tax rate is 40% and its cost of capital after tax is 15%. Depreciation is

on straight line basis.

Required

Compute the net present value (NPV) and the internal rate of return (IRR)

Expert's answer

Irr of New equipment=4.06%

Old equipment NPV:

"\\frac{-5000}{1.15^{12}}=-934.5"

New equipment NPV:

"-155000+23000+\\frac{20000\\times 0.6}{1.15}+\\frac{20000\\times 0.6}{1.15^2}+\\frac{20000\\times 0.6}{1.15^3}+25000\\times 0.6\\times \\frac{\\frac{1}{1.15^4}\\times (1-\\frac{1}{1.15^9})}{1-\\frac{1}{1.15}}-\\frac{30000}{1.15^{12}}=-63147. 6"

The company should not proceed with the investment

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