Solution
Aarti J answered on
Dec 26 2020
Task 2 base case
Case study 2, Task 2
Base case
General assumptions
Initial (depreciable) investment $15,000,000
Asset life in years 5
Straight line depr'n per year $3,000,000
Industry total unit sales year 1 200,000
Growth in sales volume years 2 and 3 50%
Growth in sales volume years 4 and 5 -50%
Selling price year 1 $75
Growth in selling price per year from year 2 3%
Production costs as % of selling price 60%
Growth in SG&A per year from year 2 5%
Income tax rate 30%
Discount rate 10%
Sales data 0 1 2 3 4 5
Sales price per unit $75.00 $77.25 $79.57 $81.95 $84.41
Sales volume in units 200,000 300,000 450,000 225,000 112,500
Net income 0 1 2 3 4 5
Revenues $15,000,000 $23,175,000 $35,805,375 $18,439,768 $9,496,481
– Cost of goods sold $9,000,000 $13,905,000 $21,483,225 $11,063,861 $5,697,888
– SG&A expenses $1,000,000 $1,050,000 $1,102,500 $1,157,625 $1,215,506
– Depreciation expense $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000
Taxable income $2,000,000 $5,220,000 $10,219,650 $3,218,282 -$416,914
– Taxes $600,000 $1,566,000 $3,065,895 $965,485 -$125,074
After-tax income $1,400,000 $3,654,000 $7,153,755 $2,252,798 -$291,840
Working Capital 0 1 2 3 4 5
Net working capital $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $0
Annual Net Cash Flow Estimates 0 1 2 3 4 5
Investment in fixed assets -$15,000,000 $0 $0 $0 $0 $0
CF due to change in net working capital -$1,500,000 $0 $0 $0 $0 $1,500,000
Opportunity cost of lost rental (after tax) -$175,000 -$175,000 -$175,000 -$175,000 -$175,000
Net income $0 $1,400,000 $3,654,000 $7,153,755 $2,252,798 -$291,840
Add back depreciation (non-cash expense) $0 $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000
Net cash flows during forecast period -$16,500,000 $4,225,000 $6,479,000 $9,978,755 $5,077,798 $4,033,160
NPV $6,165,120
Cumulative cash flows ($16,500,000) ($12,275,000) ($5,796,000) $4,182,755 $9,260,553 $13,293,713
Discounted cash flow (PV) ($16,500,000) $3,840,909 $5,354,545 $7,497,186 $3,468,204 $2,504,275
Cumulative discounted cash flow ($16,500,000) ($12,659,091) ($7,304,545) $192,641 $3,660,845 $6,165,120
Payback period 3.23 years
Discounted payback period 2.97 years
Profitability index 1.37
IRR 23.7%
Sensitivity 1
Case study 2, Task 2
Best case, increase in 10% of first year sales from the base case
General assumptions
Initial (depreciable) investment $15,000,000
Asset life in years 5
Straight line depr'n per year $3,000,000
Industry total unit sales year 1 220,000
Growth in sales volume years 2 and 3 50%
Growth in sales volume years 4 and 5 -50%
Selling price year 1 $75
Growth in selling price per year from year 2 3%
Production costs as % of selling price 60%
Growth in SG&A per year from year 2 5%
Income tax rate 30%
Discount rate 10%
Sales data 0 1 2 3 4 5
Sales price per unit $75.00 $77.25 $79.57 $81.95 $84.41
Sales volume in units 220,000 330,000 495,000 247,500 123,750
Net income 0 1 2 3 4 5
Revenues $16,500,000 $25,492,500 $39,385,913 $20,283,745 $10,446,129
– Cost of goods sold $9,900,000 $15,295,500 $23,631,548 $12,170,247 $6,267,677
– SG&A expenses $1,000,000 $1,050,000 $1,102,500 $1,157,625 $1,215,506
– Depreciation expense $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000
Taxable income $2,600,000 $6,147,000 $11,651,865 $3,955,873 -$37,055
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