In: Finance
A juice manufacturer conducted a marketing study three years ago to determine the consumers’ preferences for different type of juices including organic juices. This study was very extensive and detrimental in their decision to start a new organic juice division today. It cost them $1,000,000 to perform this study.
The company is considering introducing organic juices. The company will add a new assembly line in order to produce the organic juices separate from their existing assembly line for regular non-organic juices.
The project has an anticipated life of 4 years.
The new assembly line has a cost of $1,500,000. It will require $500,000 to customize it to the new specifications for organic juice production, and $100,000 for transportation and shipping to the company’s plant.
The new machine falls into 5-years MACRS category (20%, 32%, 19.2%, 11.52%, 11.52% and 5.76%).
The organic juice production will require inventories to increase by $1,000,000 at time 0; in addition, accounts payables and accruals will increase by $450,000 and $150,000 respectively.
The organic juice is expected to generate sales revenue of $700,000 million the first year. The revenue is expected to increase by $300,000 every year. Each year the operating costs (excluding depreciation) are expected to equal 50 percent of sales revenue.
In order to do this expansion, the company will borrow $3 million. The annual interest expense on this borrowing $400,000.
The organic juice is expected to decrease the company’s existing non-organic juice sale by $350,000 per year before tax basis.
The company can sell the new machine at the end of 4 years for $50,000 in the market. The company’s cost of capital is 12 percent. The company’s tax rate is 40 percent.
What is the initial investment CF0?
What is the CF1 to be used in NPV calculations?
What is the non-operating cash flow for year 4?
What is cash flow 4 to be used in NPV calculations?
What is the NPV of the project?
Answer 1 | Working | |||||||||
Calculation of initial investment CF0 | Depreciation calculation | |||||||||
CF0 | Year | Depreciable value of assembly line | Depreciation rate | Depreciation | Book value | |||||
Cost of new assembly line | -$1,500,000.00 | 1 | 2100000 | 20% | 420000 | 1680000 | ||||
Assembly line customization cost | -$500,000.00 | 2 | 2100000 | 32% | 672000 | 1008000 | ||||
Transportation and shipping cost | -$100,000.00 | 3 | 2100000 | 19.20% | 403200 | 604800 | ||||
Increase in Inventories | -$1,000,000.00 | 4 | 2100000 | 11.52% | 241920 | 362880 | ||||
Increase in accounts payable | $450,000.00 | 5 | 2100000 | 11.52% | 241920 | 120960 | ||||
Increase in accruals | $150,000.00 | 6 | 2100000 | 5.76% | 120960 | 0 | ||||
Initial Investment | -$2,500,000.00 | |||||||||
Answer 2 | ||||||||||
Calculation of cash flow for Year 1 CF1 | ||||||||||
CF1 | ||||||||||
Sales revenue (less decrease in non organic juice sale ) | 350000 | |||||||||
Less : Operating cost | 350000 | |||||||||
less : Interest expense | 400000 | |||||||||
less : Depreciation | 420000 | |||||||||
Profit before tax | -820000 | |||||||||
Less : Tax @ 40% | -328000 | |||||||||
Profit after tax | -492000 | |||||||||
Add : Depreciation | 420000 | |||||||||
Cash flow For Year 1 | -72000 | |||||||||
Answer 3 | ||||||||||
Non operating cash flow for Year 4 | ||||||||||
Sale value of plant | 50000 | |||||||||
Less : Book value of plant at the end of 4th year | 362880 | |||||||||
Loss on sale | -312880 | |||||||||
Tax shield on Loss @ 40% | 125152 | |||||||||
Non operating cash flow for Year 4 (Sale value + Tax shield) | 175152 | |||||||||
Answer 4 | ||||||||||
Calculation of cash flow for Year 4 CF4 | ||||||||||
CF4 | ||||||||||
Sales revenue | 1250000 | |||||||||
Less : Operating cost | 800000 | |||||||||
less : Interest expense | 400000 | |||||||||
less : Depreciation | 241920 | |||||||||
Profit before tax | -191920 | |||||||||
Less : Tax @ 40% | -76768 | |||||||||
Profit after tax | -115152 | |||||||||
Add : Depreciation | 241920 | |||||||||
Add : Non operating cash flow | 175152 | |||||||||
Add : Recovery of net working capital | 400000 | |||||||||
Cash flow For Year 4 | 701920 | |||||||||
Answer 5 | ||||||||||
Calculation of NPV | ||||||||||
Year | Discount factor @ 12% | Cash flow | Present Value | |||||||
0 | 1 | -$2,500,000.00 | -$2,500,000.00 | |||||||
1 | 0.892857143 | -$72,000.00 | -$64,285.71 | |||||||
2 | 0.797193878 | $118,800.00 | $94,706.63 | |||||||
3 | 0.711780248 | $101,280.00 | $72,089.10 | |||||||
4 | 0.635518078 | $701,920.00 | $446,082.85 | |||||||
NPV | -$1,951,407.13 | |||||||||
Working | ||||||||||
Calculation of cash flow for Year 2 & 3 | ||||||||||
CF2 | CF3 | |||||||||
Sales revenue (less decrease in non organic juice sale ) | 650000 | 950000 | ||||||||
Less : Operating cost | 500000 | 650000 | ||||||||
less : Interest expense | 400000 | 400000 | ||||||||
less : Depreciation | 672000 | 403200 | ||||||||
Profit before tax | -922000 | -503200 | ||||||||
Less : Tax @ 40% | -368800 | -201280 | ||||||||
Profit after tax | -553200 | -301920 | ||||||||
Add : Depreciation | 672000 | 403200 | ||||||||
Cash flow For Year 1 | 118800 | 101280 | ||||||||