Question

Gilbert is considering purchasing the Side Steamer 3000, a higher-end steamer, which costs $12,000, and has an estimated useful life of 6 years with an estimated salvage value of $1,200. This steamer falls into the MACRS 5-years class, so the applicable depreciation rates are 20.00%, 32.00%, 19.20%, 11.52%, 11.52%, and 5.76%. The new steamer is faster and would allow for an output expansion, so sales would rise by $2,000 per year; even so, the new machine's much greater efficiency would reduce operating expenses by $1,400 per year. To support the greater sales, the new machine would require that inventories increase by $2,900, but accounts payable would simultaneously increase by $700. Gilbert's marginal federal-plus-state tax rate is 40%, and its WACC is 12%.

a. Should it replace the old steamer?b. NPV of replace = $2,083.51
SHOW WORK HOW TO GET THIS ANSWER

Answer 1

Step-by-step explanation:

initial outlay $12,000 + ($2,900 - $700) = $14,200

depreciable value = $10,800

depreciation per year:

1. $2,160
2. $3,456
3. $2,073.60
4. $1,244.16
5. $1,244.16
6. $622.08

incremental revenues = $2,000 + $1,400 = $3,400

CF year 0 = -$14,200

CF year 1 = [($3,400 - $2,160) x 0.6] + $2,160 = $2,904

CF year 2 = [($3,400 - $3,456) x 0.6] + $3,456 = $3,422.40

CF year 3 = [($3,400 - $2,073.60) x 0.6] + $2,073.60 = $2,869.44

CF year 4 = [($3,400 - $1,244.16) x 0.6] + $1,244.16 = $2,537.66

CF year 5 = [($3,400 - $1,244.16) x 0.6] + $1,244.16 = $2,537.66

CF year 6 = [($3,400 - $622.08) x 0.6] + $622.08 + $1,200 + $2,200 = $5,688.83

WACC = 12%

a) the steamer should not be replaced, since the NPV is negative.

b) Using a financial calculator, NPV = -$14,200 + $13,298.29 = -$901.71