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The Fernandez Company has the opportunity to invest in one of two mutually exclu

ID: 2731686 • Letter: T

Question

The Fernandez Company has the opportunity to invest in one of two mutually exclusive machines that will produce a product that the company will need for the next 8 years. Machine A costs $10 million but will provide after-tax inflows of $4 million per year for 4 years. If Machine A is replaced, its cost will be $12 million due to inflation and its cash inflows will increase to $4.2 million due to production efficiencies. Machine B costs $15 million and will provide after-tax inflows of $3.5 million per year for 8 years. If the WACC is 10%, which machine should Fernandez acquire?

Explanation / Answer

Machine A:

PV of Cash outflows = (10000000 x 1) + (12000000 x 0.683) = $18196000

PV of cash inflows = (4000000 x 3.170) + (4200000 x 2.165) = $21773000

NPV = $3577000

Machine B:

PV of cash inflows = 3500000 x 5.335 = $18672500

NPV = 18672500 - 15000000 = $3672500

Machine B should be preferred.

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