Question

In: Finance

Consider a project to supply 70 million postage stamps annually for the next five years. You...

Consider a project to supply 70 million postage stamps annually for the next five years. You have an idle parcel of land available that cost $279,000 five years ago; if the land were sold today, it would net you $310,000, aftertax. You estimate the land can be sold for $400,000 after taxes in five years. You will need to install $1,867,000 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 five-year life. Ignore bonus depreciation. The equipment can be sold for $950,000 at the end of the project. You will also need $32,000 in initial net working capital for the project, and an additional investment of $5,000 every year starting with Year 1. All net working capital will be recovered when the project ends. Your production costs are .21 cents per stamp, and you have fixed costs of $440,000 per year. Assume the tax rates are suddenly increased such that a tax rate of 35 percent is once again applicable, and your required return on this project is 14 percent. What bid price per stamp should you submit?

MUST be one of these answers:

$.02264

$.01619

$.02192

$.01667

$.01992

Solutions

Expert Solution

Tax rate 35%
Calculation of annual depreciation
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Total
Cost $    1,867,000 $   1,867,000 $    1,867,000 $    1,867,000 $   1,867,000
Dep Rate 20.00% 20.00% 20.00% 20.00% 20.00%
Depreciation Cost * Dep rate $       373,400 $      373,400 $       373,400 $       373,400 $      373,400 $    1,867,000
Calculation of after-tax salvage value
Cost of machine $   1,867,000
Depreciation $   1,867,000
WDV Cost less accumulated depreciation $                -  
Sale price $      950,000
Profit/(Loss) Sale price less WDV $      950,000
Tax Profit/(Loss)*tax rate $      332,500
Sale price after-tax Sale price less tax $      617,500
Calculation of annual operating cash flow
Year-1 Year-2 Year-3 Year-4 Year-5
No of units      70,000,000     70,000,000      70,000,000      70,000,000     70,000,000
Selling price $                 -   $                -   $                 -   $                 -   $                -  
Operating cost $             0.21 $            0.21 $             0.21 $             0.21 $            0.21
Sale $                 -   $                -   $                 -   $                 -   $                -  
Less: Operating Cost $ 14,700,000 $ 14,700,000 $ 14,700,000 $ 14,700,000 $ 14,700,000
Contribution $(14,700,000) $(14,700,000) $(14,700,000) $(14,700,000) $(14,700,000)
Less: Fixed cost $       440,000 $      440,000 $       440,000 $       440,000 $      440,000
Less: Depreciation $       373,400 $      373,400 $       373,400 $       373,400 $      373,400
Profit before tax (PBT) $(15,513,400) $(15,513,400) $(15,513,400) $(15,513,400) $(15,513,400)
Tax@35% PBT*Tax rate $ (5,429,690) $ (5,429,690) $ (5,429,690) $ (5,429,690) $ (5,429,690)
Profit After Tax (PAT) PBT - Tax $(10,083,710) $(10,083,710) $(10,083,710) $(10,083,710) $(10,083,710)
Add Depreciation PAT + Dep $       373,400 $      373,400 $       373,400 $       373,400 $      373,400
Cash Profit after-tax $ (9,710,310) $ (9,710,310) $ (9,710,310) $ (9,710,310) $ (9,710,310)
Calculation of NPV
14.00%
Year Land Capital Working capital Operating cash Annual Cash flow PV factor, 1/(1+r)^time Present values
0 $           (310,000) $ (1,867,000) $       (32,000) $ (2,209,000)            1.0000 $ (2,209,000)
1 $         (5,000) $ (9,710,310) $ (9,715,310)            0.8772 $ (8,522,202)
2 $         (5,000) $ (9,710,310) $ (9,715,310)            0.7695 $ (7,475,616)
3 $         (5,000) $ (9,710,310) $ (9,715,310)            0.6750 $ (6,557,558)
4 $         (5,000) $ (9,710,310) $ (9,715,310)            0.5921 $ (5,752,243)
5 $            400,000 $       617,500 $        52,000 $ (9,710,310) $ (8,640,810)            0.5194 $ (4,487,766)
Net Present Value $(35,004,384)
After tax revenue for 70000000 70000000*P*(1-35%)
Sum of PV factor for years 1-5                  3.4331
70000000*P*(1-35%)*3.4331= $       35,004,384
156205184.08306*P= $       35,004,384
P= 35004384.2377057/156205184.08306
P= $              0.2241

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