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Geary Machine Shop is considering a four-year project to improve its production

ID: 2770127 • Letter: G

Question

Geary Machine Shop is considering a four-year project to improve its production eciency. Buying a new machine press for $902,400 is estimated to result in $300,800 in annual pretax cost savings. The press falls in the MACRS ve-year class (MACRS Table), and it will have a salvage value at the end of the project of $131,600. The press also requires an initial investment in spare parts inventory of $37,600, along with an additional $5,640 in inventory for each succeeding year of the project.    Required : If the shop's tax rate is 32 percent and its discount rate is 18 percent, what is the NPV for this project? Show calculator work.

Explanation / Answer

Particulars

                      -  

                      1

                         2

                           3

                           4

                           5

                         6

Total

Pre cost saving

3,00,800.00

    3,00,800.00

       3,00,800.00

       3,00,800.00

                          -  

                       -  

(-)Depre on Plant

   1,80,480.00

     2,88,768.00

        1,73,260.80

        1,03,956.48

        1,03,956.48

         51,978.24

902,400 *0.2

902,400 *0.32

902,400* 0.192

902,400 *11.52

902,400 *11.52

902,400 *5.76

Earning before tax

   1,20,320.00

         12,032.00

        1,27,539.20

        1,96,843.52

       -1,03,956.48

       -51,978.24

(-)Tax @32%

      38,502.40

           3,850.24

           40,812.54

           62,989.93

          -33,266.07

       -16,633.04

EAT

      81,817.60

           8,181.76

           86,726.66

        1,33,853.59

          -70,690.41

       -35,345.20

(+)Depre on Plant

   1,80,480.00

     2,88,768.00

        1,73,260.80

        1,03,956.48

        1,03,956.48

         51,978.24

Free cash flow

   2,62,297.60

     2,96,949.76

        2,59,987.46

        2,37,810.07

           33,266.07

         16,633.04

(-)Working capital

     -37,600.00

      -5,640.00

         -5,640.00

           -5,640.00

           -5,640.00

                          -  

(+)Working capital

           60,160.00

                         -  

(+) Salvage value

           89,488.00

                          -  

131,600*(1-0.32)

(-)Initial Investment

-9,02,400.00

Total cash flow

   -9,40,000.00

   2,56,657.60

     2,91,309.76

      2,54,347.46

        2,32,170.07

           33,266.07

         16,633.04

PVF @18%

                  1.00

                 0.85

                   0.72

                      0.61

                      0.52

                      0.44

                   0.37

Net Present value

   -9,40,000.00

   2,17,506.44

     2,09,214.13

        1,54,803.71

        1,19,750.74

           14,540.91

           6,161.40

-2,18,022.66

NPV of the project = -218022.66


Particulars

                      -  

                      1

                         2

                           3

                           4

                           5

                         6

Total

Pre cost saving

3,00,800.00

    3,00,800.00

       3,00,800.00

       3,00,800.00

                          -  

                       -  

(-)Depre on Plant

   1,80,480.00

     2,88,768.00

        1,73,260.80

        1,03,956.48

        1,03,956.48

         51,978.24

902,400 *0.2

902,400 *0.32

902,400* 0.192

902,400 *11.52

902,400 *11.52

902,400 *5.76

Earning before tax

   1,20,320.00

         12,032.00

        1,27,539.20

        1,96,843.52

       -1,03,956.48

       -51,978.24

(-)Tax @32%

      38,502.40

           3,850.24

           40,812.54

           62,989.93

          -33,266.07

       -16,633.04

EAT

      81,817.60

           8,181.76

           86,726.66

        1,33,853.59

          -70,690.41

       -35,345.20

(+)Depre on Plant

   1,80,480.00

     2,88,768.00

        1,73,260.80

        1,03,956.48

        1,03,956.48

         51,978.24

Free cash flow

   2,62,297.60

     2,96,949.76

        2,59,987.46

        2,37,810.07

           33,266.07

         16,633.04

(-)Working capital

     -37,600.00

      -5,640.00

         -5,640.00

           -5,640.00

           -5,640.00

                          -  

(+)Working capital

           60,160.00

                         -  

(+) Salvage value

           89,488.00

                          -  

131,600*(1-0.32)

(-)Initial Investment

-9,02,400.00

Total cash flow

   -9,40,000.00

   2,56,657.60

     2,91,309.76

      2,54,347.46

        2,32,170.07

           33,266.07

         16,633.04

PVF @18%

                  1.00

                 0.85

                   0.72

                      0.61

                      0.52

                      0.44

                   0.37

Net Present value

   -9,40,000.00

   2,17,506.44

     2,09,214.13

        1,54,803.71

        1,19,750.74

           14,540.91

           6,161.40

-2,18,022.66