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XYZ would like to purchase a new machine. It will cost $50,000. Shipping and ins

ID: 2784526 • Letter: X

Question

XYZ would like to purchase a new machine. It will cost $50,000. Shipping and installation charges for the equipment are expected to total $5,000. This equipment will be depreciated using straight line for its 5 year economic life to an estimated salvage value of zero. In order to use this equipment, XYZ estimates it will have to add $7,000 initially to its net working capital.

If the machine is purchased, it will replace a machine with a book value of $10,000, the old machine can be sold for $25,000.

During the first year of operations, the company expects total revenues to increase by $50,000, and from years 2 to 5 increase by $60,000 per year.

The incremental operating expense is expected to be $10,000 in the first year and increase each year by 5%. The marginal tax rate is 40%.  

Find year 3 net cash flows.

Explanation / Answer

Book Value of old machine = $10,000

Sale value = $25,000

After tax net proceed from sale = $10,000 + ($25,000 - $10,000) × (1 - 40%)

= $10,000 + $9,000

= $19,000

Net proceed from sale of old machine is $19,000.

Total Initial Cost = $50,000 + $5,000

= $55,000

Project Life = 5 year

Annal Depreciation = $55,000 / 5

= $11,000

Revenue in year 3 = $60,000

Cost in year 3 = $10,000 × (1 + 5%) ^ 2

= $10,000 × 1.1025

= $11,025

Cost in year 3 is $11,025.

Profit before tax in year 3 = $60,000 - $11,025 - $11,000

= $37,975

Profit before tax is $37,975.

Net profit in year 3 = $37,975 × (1 - 40%)

= $22,785

Net profit in year 3 is $22,785.

Net cash flow in year 3 = $22,785 + $11,000

= $33,785

Net cash flow in year 3 is $33,785.