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Consider a project to supply 60 million postage stamps per year to the U.S. Postal Service...

Consider a project to supply 60 million postage stamps per year to the U.S. Postal Service for the next five years. You have an idle parcel of land available that cost $760,000 five years ago; if the land were sold today, it would give you $912,000 after taxes. Three years ago, you purchased some equipment for $60,000. This equipment has a current book value of $40,000 and a current market value of $30,000. The land and equipment can be used for this project. You will need to install $2,356,000 in new manufacturing plant and equipment to actually produce the stamps; this plant and equipment will be depreciated straight-line to zero over the project’s 5-year life. The equipment can be sold for $456,000 at the end of the project. You will also need $469,000 in initial net working capital for the project, and an additional investment of $38,000 in every year thereafter. All net working capital will be recovered when the project ends. Your production costs are 0.5 cents per stamp, and you have fixed costs of $608,000 per year. Your tax rate is 31 percent and your required return on this project is 11 percent. What bid price per stamp should you submit? Consider a project to supply 60 million postage stamps per year to the U.S. Postal Service for the next five years. You have an idle parcel of land available that cost $760,000 five years ago; if the land were sold today, it would give you $912,000 after taxes. Three years ago, you purchased some equipment for $60,000. This equipment has a current book value of $40,000 and a current market value of $30,000. The land and equipment can be used for this project. You will need to install $2,356,000 in new manufacturing plant and equipment to actually produce the stamps; this plant and equipment will be depreciated straight-line to zero over the project’s 5-year life. The equipment can be sold for $456,000 at the end of the project. You will also need $469,000 in initial net working capital for the project, and an additional investment of $38,000 in every year thereafter. All net working capital will be recovered when the project ends. Your production costs are 0.5 cents per stamp, and you have fixed costs of $608,000 per year. Your tax rate is 31 percent and your required return on this project is 11 percent. What bid price per stamp should you submit?

Solutions

Expert Solution

Tax rate 31%
Calculation of annual depreciation
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Total
Cost $      2,356,000 $      2,356,000 $      2,356,000 $      2,356,000 $      2,356,000
Dep Rate 20.00% 20.00% 20.00% 20.00% 20.00%
Depreciation Cost * Dep rate $         471,200 $         471,200 $         471,200 $         471,200 $         471,200 $      2,356,000
Calculation of after-tax salvage value New equipment Old equipment
Cost of machine $      2,356,000
Depreciation $      2,356,000
WDV Cost less accumulated depreciation $                   -   $           40,000
Sale price $         456,000 $           30,000
Profit/(Loss) Sale price less WDV $         456,000 $         (10,000)
Tax Profit/(Loss)*tax rate $         141,360 $           (3,100)
Sale price after-tax Sale price less tax $         314,640 $           33,100
Initial investment in assets excluding working capital
Cost of Land $            912,000
Cost of old equipment $              33,100
New equipment $         2,356,000
Total $         3,301,100
Calculation of annual operating cash flow
Year-1 Year-2 Year-3 Year-4 Year-5
No of units        60,000,000        60,000,000        60,000,000        60,000,000        60,000,000
Selling price $                   -   $                   -   $                   -   $                   -   $                   -  
Operating ost $               0.05 $               0.05 $               0.05 $               0.05 $               0.05
Sale $                   -   $                   -   $                   -   $                   -   $                   -  
Less: Operating Cost $      3,000,000 $      3,000,000 $      3,000,000 $      3,000,000 $      3,000,000
Contribution $    (3,000,000) $    (3,000,000) $    (3,000,000) $    (3,000,000) $    (3,000,000)
Less: Fixed cost $         608,000 $         608,000 $         608,000 $         608,000 $         608,000
Less: Depreciation $         471,200 $         471,200 $         471,200 $         471,200 $         471,200
Profit before tax (PBT) $    (4,079,200) $    (4,079,200) $    (4,079,200) $    (4,079,200) $    (4,079,200)
Tax@31% PBT*Tax rate $    (1,264,552) $    (1,264,552) $    (1,264,552) $    (1,264,552) $    (1,264,552)
Profit After Tax (PAT) PBT - Tax $    (2,814,648) $    (2,814,648) $    (2,814,648) $    (2,814,648) $    (2,814,648)
Add Depreciation PAT + Dep $         471,200 $         471,200 $         471,200 $         471,200 $         471,200
Cash Profit after-tax $    (2,343,448) $    (2,343,448) $    (2,343,448) $    (2,343,448) $    (2,343,448)
Calculation of NPV
11.00%
Year Capital Working capital Operating cash Annual Cash flow PV factor, 1/(1+r)^time Present values
0 $    (3,301,100) $       (469,000) $    (3,770,100)               1.0000 $     (3,770,100)
1 $         (38,000) $    (2,343,448) $    (2,381,448)               0.9009 $     (2,145,449)
2 $         (38,000) $    (2,343,448) $    (2,381,448)               0.8116 $     (1,932,837)
3 $         (38,000) $    (2,343,448) $    (2,381,448)               0.7312 $     (1,741,294)
4 $         (38,000) $    (2,343,448) $    (2,381,448)               0.6587 $     (1,568,734)
5 $         314,640 $         621,000 $    (2,343,448)

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