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In: Finance

AAA Corp. currently has one​ product, high-priced lawn mowers. AAA Corp. has decided to sell a...

AAA Corp. currently has one​ product, high-priced lawn mowers. AAA Corp. has decided to sell a new line of​ medium-priced lawn mowers. The building and machinery for producing this new line is estimated to cost ​$10,000,000 and it will be depreciated down to zero over 20 years using​ straight-line depreciation.​ Also, an investment today on working capital in the amount of ​$4,000,000 is needed. The working capital will be recovered at the end of the project. Sales for the new line of lawn mowers are estimated at ​$29 million a year. Annual variable costs are 60​% of sales. The project is expected to last 10 years. In addition to the production variable​ costs, the fixed costs each year will be ​$3,000,000. The company has spent ​$1,500,000 in a marketing study that determined the company will lose ​$11 million in sales a year of its existing​ high-priced lawn mowers. The production variable cost of these sales is ​$9 million a year. It is expected that at the end of the​ project, the building and machinery can be sold for ​$5,000,000. The tax rate is 20 percent and the cost of capital is 6%.

Solutions

Expert Solution

A) Plant and equipment $   1,00,00,000
Increase in NWC $       40,00,000
Initial outlay for the project $   1,40,00,000
B) Sales $   2,90,00,000
Variable cost 60% $   1,74,00,000
Fixed costs $       30,00,000
Depreciation (10000000/20) $         5,00,000
NOI from new line of medium priced lawn movers $       81,00,000
Less: Loss of contribution margin from existing high priced lawn movers = 11 million - 9 million = $       20,00,000
Incremental NOI $       61,00,000
Tax at 20% $       12,20,000
Incremental NOPAT $       48,80,000
Add: Depreciation $         5,00,000
Operating cash flows for t1 to t10 $       53,80,000
C) After tax salvage value of plant and equipment = 5000000-[5000000-5000000*(1-20%)] = $       50,00,000
Recovery of NWC $       40,00,000
Terminal value cash flows $       90,00,000
D) PV of annual operating cash flows = 5380000*(1.06^10-1)/(0.06*1.06^10) = $   3,95,97,268
PV of terminal cash flows = 9000000/1.06^10 = $       50,25,553
Total PV of cash inflows $   4,46,22,821
Less: Initial investment $   1,40,00,000
NPV $   3,06,22,821

As the NPV of the project is positive, it can be implemented.


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