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A&Y Inc. considers a 7-year project that requires $500,000 of investment in new machinery and $40,000...

A&Y Inc. considers a 7-year project that requires $500,000 of investment in new machinery and $40,000 in NWC (that will stay constant for the entire life of the project). At the end of the project the equipment will be sold for a salvage value of $70,000. The cost of capital is 10%, the equipment belongs to a CCA class with d=40%, and the corporate tax rate is 30%

Problem 20: Prof Reynolds was able to use his industry connections to get a 3% discount on the equipment (i.e., it can be purchased for $485,000 instead of $500,000). By how much will this increase the project’s NPV?

Solutions

Expert Solution

Tax rate 30%
Calculation of annual depreciation
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Year-6 Year-7 Total
Cost $           500,000 $          300,000 $           180,000 $               108,000 $             64,800 $             38,880 $        23,328
Dep Rate 40.00% 40.00% 40.00% 40.00% 40.00% 40.00% 40.00%
Depreciation Cost * Dep rate $           200,000 $          120,000 $             72,000 $                 43,200 $             25,920 $             15,552 $           9,331 $ 486,003
Closing WDV $           300,000 $          180,000 $           108,000 $                 64,800 $             38,880 $             23,328 $        13,997
Calculation of annual depreciation after discount
Depreciation Year-1 Year-2 Year-3 Year-4 Year-5 Year-6 Year-7 Total
Cost $           485,000 $          291,000 $           174,600 $               104,760 $             62,856 $             37,714 $        22,628
Dep Rate 40.00% 40.00% 40.00% 40.00% 40.00% 40.00% 40.00%
Depreciation Cost * Dep rate $           194,000 $          116,400 $             69,840 $                 41,904 $             25,142 $             15,085 $           9,051 $ 471,423
Closing WDV $           291,000 $          174,600 $           104,760 $                 62,856 $             37,714 $             22,628 $        13,577
Differential depreciation $                6,000 $               3,600 $                2,160 $                   1,296 $                  778 $                   467 $              280
Tax benefit   $                1,800 $               1,080 $                   648 $                      389 $                  233 $                   140 $                84
Calculation of after-tax salvage value Without discount With discount
Cost of machine $          500,000 $           485,000
Depreciation $          486,003 $           471,423
WDV Cost less accumulated depreciation $             13,997 $             13,577
Sale price $             70,000 $             70,000
Profit/(Loss) Sale price less WDV $             56,003 $             56,423
Tax Profit/(Loss)*tax rate $             16,801 $             16,927
Sale price after-tax Sale price less tax $             53,199 $             53,073
Differential salvage value $                  126
Calculation of differential NPV
                         (1) 10.00%
Year Capital Operating cash Annual Cash flow PV factor, 1/(1+r)^time Present values
0 $             15,000 $                 15,000                 1.0000 $        15,000.00
1 $        (1,800.00) $                  (1,800)                 0.9091 $        (1,636.36)
2 $        (1,080.00) $                  (1,080)                 0.8264 $            (892.56)
3 $            (648.00) $                     (648)                 0.7513 $  &nb

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