Question

In: Finance

Consider a project to supply 100 million postage stamps per year to the USPS for the...

Consider a project to supply 100 million postage stamps per year to the USPS for the next five

years. To pursue the project, you will need to install $4.1 million in new manufacturing plant

and equipment. This will be depreciated straight-line to zero over the project’s five years. The

equipment can be sold for $540,000 at the end of the project. You will also need $600,000 in

initial net working capital for the project and an additional investment of $50,000 in every year

thereafter. All net working capital will be recouped at the end of the project. Your production

costs are $.005 per stamp and you have fixed costs of $950,000 per year. If your tax rate is 34%

and your required return is 12%, what bid price should you submit on the contract?

Solutions

Expert Solution

Tax rate 34%
Calculation of annual depreciation
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Total
Cost $         4,100,000 $         4,100,000 $         4,100,000 $         4,100,000 $         4,100,000
Dep Rate (1/5=20%) 20.00% 20.00% 20.00% 20.00% 20.00%
Depreciation Cost * Dep rate $            820,000 $            820,000 $            820,000 $            820,000 $            820,000 $        4,100,000
Calculation of after-tax salvage value
Cost of machine $         4,100,000
Depreciation $         4,100,000
WDV Cost less accumulated depreciation $                       -  
Sale price $            540,000
Profit/(Loss) Sale price less WDV $            540,000
Tax Profit/(Loss)*tax rate $            183,600
Sale price after-tax Sale price less tax $            356,400
Calculation of annual operating cash flow
Year-1 Year-2 Year-3 Year-4 Year-5
No of units         100,000,000         100,000,000         100,000,000         100,000,000         100,000,000
Selling price $                       -   $                       -   $                       -   $                       -   $                       -  
Operating ost $                 0.005 $                0.005 $                0.005 $                0.005 $                0.005
Sale $                       -   $                       -   $                       -   $                       -   $                       -  
Less: Operating Cost $            500,000 $            500,000 $            500,000 $            500,000 $            500,000
Contribution $          (500,000) $          (500,000) $          (500,000) $          (500,000) $          (500,000)
Less: Fixed cost $            950,000 $            950,000 $            950,000 $            950,000 $            950,000
Less: Depreciation $            820,000 $            820,000 $            820,000 $            820,000 $            820,000
Profit before tax (PBT) $       (2,270,000) $      (2,270,000) $      (2,270,000) $      (2,270,000) $      (2,270,000)
Tax@34% PBT*Tax rate $           (771,800) $           (771,800) $           (771,800) $           (771,800) $           (771,800)
Profit After Tax (PAT) PBT - Tax $       (1,498,200) $      (1,498,200) $      (1,498,200) $      (1,498,200) $      (1,498,200)
Add Depreciation PAT + Dep $            820,000 $            820,000 $            820,000 $            820,000 $            820,000
Cash Profit after-tax $          (678,200) $          (678,200) $          (678,200) $          (678,200) $          (678,200)
Calculation of NPV
12.00%
Year Capital Working capital Operating cash Annual Cash flow PV factor, 1/(1+r)^time Present values
0 $        (4,100,000) $           (600,000) $       (4,700,000)                  1.0000 $      (4,700,000)
1 $             (50,000) $           (678,200) $           (728,200)                  0.8929 $          (650,179)
2 $             (50,000) $           (678,200) $           (728,200)                  0.7972 $          (580,517)
3 $             (50,000) $           (678,200) $           (728,200)                  0.7118 $          (518,318)
4 $             (50,000) $           (678,200) $           (728,200)                  0.6355 $          (462,784)
5 $            356,400 $            800,000 $           (678,200) $            478,200                  0.5674 $           271,344
Net Present Value $     (6,640,454)
So the present value of after tax revenue for 5 years should be $ 6,640,454

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