In: Finance
The following table presents sales forecasts for Golden Gelt Giftware. The unit price is $30. The unit cost of the giftware is $20.
Year Unit Sales
1 27,000
2 35,000
3 19,000
4 10,000
Thereafter 0
It is expected that net working capital will amount to 20% of sales in the following year. For example, the store will need an initial (Year 0) investment in working capital of .20 × 27,000 × $30 = $162,000. Plant and equipment necessary to establish the giftware business will require an additional investment of $205,000. This investment will be depreciated using MACRS and a 3-year life. After 4 years, the equipment will have an economic and book value of zero. The firm’s tax rate is 30%. What is the net present value of the project? The discount rate is 16%. Use the MACRS depreciation schedule. (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.)
NPV =
Tax rate | 30% | ||||||
Year-1 | Year-2 | Year-3 | Year-4 | ||||
Tons | 27,000 | 35,000 | 19,000 | 10,000 | |||
Sale @ 30 | 810,000 | 1,050,000 | 570,000 | 300,000 | |||
Less: Operating Cost @ 20 | 540,000 | 700,000 | 380,000 | 200,000 | |||
Contribution | 270,000 | 350,000 | 190,000 | 100,000 | |||
Less: Depreciation as per table given below | 68,327 | 91,123 | 30,361 | 15,191 | |||
Profit before tax | 201,674 | 258,878 | 159,640 | 84,810 | |||
Tax | 60,502 | 77,663 | 47,892 | 25,443 | |||
Profit After Tax | 141,171 | 181,214 | 111,748 | 59,367 | |||
Add Depreciation | 68,327 | 91,123 | 30,361 | 15,191 | |||
Cash Profit After tax | 209,498 | 272,337 | 142,108 | 74,557 | |||
Working capital | Year-0 | Year-1 | Year-2 | Year-3 | |||
Opening | - | (162,000) | (210,000) | (114,000) | |||
Required | (162,000) | (210,000) | (114,000) | (60,000) | |||
Change | (162,000) | (48,000) | 96,000 | 54,000 | |||
Cost of macine | 205,000 | ||||||
Depreciation for 5 years | 205,000 | ||||||
WDV | - | ||||||
Sale price | - | ||||||
Profit/(Loss) | - | ||||||
Tax | - | ||||||
Sale price after tax | - | ||||||
Depreciation | Year-1 | Year-2 | Year-3 | Year-4 | Total | ||
Cost | 205,000 | 205,000 | 205,000 | 205,000 | |||
Dep Rate | 33.33% | 44.45% | 14.81% | 7.41% | |||
Deprecaition | 68,327 | 91,123 | 30,361 | 15,191 | 205,000 | ||
Calculation of NPV | |||||||
Year | Captial | Working captial | Operating cash | Annual Cash flow | PV factor @ 16% | Present values | |
0 | (205,000) | (162,000) | (367,000) | 1.000 | (367,000) | ||
1 | (48,000) | 209,498 | 161,498 | 0.862 | 139,222 | ||
2 | 96,000 | 272,337 | 368,337 | 0.743 | 273,734 | ||
3 | 54,000 | 142,108 | 196,108 | 0.641 | 125,638 | ||
4 | - | 60,000 | 74,557 | 134,557 | 0.552 | 74,315 | |
Net Present Value | 245,909 |