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One year ago, your company purchased a machine used in manufacturing for $110,000. You have learned that a new machine is ava
Benchmark Metrics Inc. (BMI), an all-equity financed firm, reported EPS of $5.67 in 2013. Despite the economic downturn, BMI
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Tax rate 45.00%
Old equipment
Cost $              110,000
Dep-year 1 (110000/11) $                10,000
WDV $              100,000
Sale price $                50,000
Gain/(Loss), (50000-100000) $               (50,000)
Tax benefit $               (22,500) =-50000*45%
Sale price after tax $                72,500 =50000--22500
Cost of new equipment $              150,000
Less sale proceed of old equipment $               (72,500)
Net investment $                77,500
Depreciation on new equipment
Year Cost Dep rate Depreciation Depreciation
1-10 $              150,000 10.00% =150000*10% $            15,000
Depreciation on old equipment
Year Cost Dep rate Depreciation Depreciation
1-10 $              110,000 9.09% =110000*9.09% $            10,000
Incremental depreciation
Year New Depreciation Old Depreciation Additional depreciation
1-10 $                15,000 $             10,000 $                        5,000
After tax value of operating profits
Year EBITDA-new EBITDA-old Cost saving Dep rate After tax saving
1-10 $                40,000 $             20,000 $                      20,000 =20000*(1-45%) $         11,000
Tax shield
Year Aditional depreciation Tax shield Tax shield
1-10 $                  5,000 =5000*45% $                        2,250
Calculation of NPV 10%
Year Capital commitment Annual benefit Dep tax shield Annual free cashflow PV factor, 1/(1+r)^time Total * PV factor
0 $               (77,500) $                              -   $                    -   $        (77,500)                1.00000 $ (77,500)
1 $                      11,000 $              2,250 $         13,250                0.90909 $ 12,045
2 $                      11,000 $              2,250 $         13,250                0.82645 $ 10,950
3 $                      11,000 $              2,250 $         13,250                0.75131 $    9,955
4 $                      11,000 $              2,250 $         13,250                0.68301 $    9,050
5 $                      11,000 $              2,250 $         13,250                0.62092 $    8,227
6 $                      11,000 $              2,250 $         13,250                0.56447 $    7,479
7 $                      11,000 $              2,250 $         13,250                0.51316 $    6,799
8 $                      11,000 $              2,250 $         13,250                0.46651 $    6,181
9 $                      11,000 $              2,250 $         13,250                0.42410 $    5,619
10 $                        -   $                      11,000 $              2,250 $         13,250                0.38554 $    5,108
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