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The following table presents sales forecasts for Golden Gelt Giftware. The unit price is $30. The...

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 =

Solutions

Expert Solution

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

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