Exam 3 Sp10 Solved

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The Supreme Shoe Company is considering the purchase of a new, fully-automated machine to replace a manually operated one. The machine
being replaced, now 1 year old, originally had an expected life of 4 years, is being depreciated as a 5-year MACRS asset from its purchase price of
$32,500. It can be sold now for $7,500. If the old machine is used for 3 more years instead of being replaced now, it is expected to have a $1,500
before-tax residual value at that time.

The annual costs of maintenance and defects on the old machine are $4,000 and $2,000 respectively. The replacement machine being considered
has a purchase price of $35,000 and an expected salvage value of $20,000 at the end of its 3-year life. There will also be shipping and installation
expenses of $3,000. Because the new machine would be more efficient, the constant investment in raw materials would decrease by a total of                              MACRS Percentages
$5,000 from the current level with the old machine. The company expects that annual maintenance costs on the new machine will be $7,500                       Year     3-year     5-year    7-year    10-year
while defects will cost $1,500. The new machine will also result in additional productive capacity so sales will increase by $9,000 per year due to
                                                                                                                                                               1         33.33%    20.00%    14.29%    10.00%
increased output. The new machine will be depreciated as a 5-year MACRS-class asset.
                                                                                                                                                               2         44.45%    32.00%    24.49%    18.00%
Before considering this project, the company undertook an engineering analysis of current facilities to determine if other changes would be                    3         14.81%    19.20%    17.49%    14.40%
necessitated by the purchase of the machine. The study cost the company $12,500 and determined that existing facilities could support this new                 4          7.41%    11.52%    12.49%    11.52%
machine with no other changes. In order to purchase the new machine, the company would have to take on new debt of $30,000 at 10% interest,                    5                   11.52%     8.93%     9.22%
resulting in increased interest expense of 12,000 per year. The required rate of return for this project is 9% and the company's marginal tax rate is          6                    5.76%     8.92%     7.37%
34%.                                                                                                                                                           7                              8.93%     6.55%
                                                                                                                                                               8                              4.46%     6.55%
Use the space below to compute the initial outlay, the annual cash flows, and the terminal cash flows for this project. The only inputs that need              9                                        6.56%
to be linked to your computations are the ones shown. All other numbers can be entered straight into your formulas but all calculations need                   10                                       6.55%
to done in the formulas. The MACRS depreciation percentages are in the table to the right. You do not need to do any lookup functions, and the                 11                                       3.28%
model only needs to work for this time period and for this depreciation type. Show all computations. Label all entries appropriately. THE
NUMBER RESULTS ARE WHAT IS IMPORTANT, NOT THE FORMATTING. YOU CAN SET THIS UP ANY WAY THAT YOU WANT AS LONG AS THE 4
TOTAL CASH FLOWS GET COMPUTED CORRECTLY AND THEY ADJUST CORRECTLY TO THE INPUTS SHOWN.




                                                                         INPUTS
  Old Machine:                                          New Machine:                                            General:
     Original Price                            32,500     Original Price                              35,000      Tax Rate                              34%
     Current Value                              7,500     Installation Expenses                        3,000      Req'd Return                           9%
     Expected value in 3 years                  1,500     Expected value in 3 years                   20,000
     Annual Cash Expenses                       6,000     Annual Cash Expenses                         9,000
                                                          Increased Sales                              9,000

                                                                    CASH FLOWS

                  CASH FLOWS AT t=0                                                       CASH FLOWS FOR YEARS 1 to 3
                                                                                                Year 1      Year 2                Year 3


  Purchase Price                                       (35,000.00) New Depreciation                7,000.00       11,200.00          6,720.00
  Installation                                          (3,000.00) Depreciation Old               10,400.00        6,240.00          3,744.00
  Chg in Net Working Capital                             5,000.00 Difference                      (3,400.00)       4,960.00          2,976.00                        $12,063.44
  BTSV Old Asset                                         7,500.00
  BV Old Asset                              26,000.00              Revenue                          9,000.00       9,000.00          9,000.00
  Gain or Loss on Sale                     (18,500.00)             Operating Expenses              (3,000.00)     (3,000.00)        (3,000.00)
  Tax Effect on Sale of Old Asset                            6290 Depreciation                      3,400.00      (4,960.00)        (2,976.00)
   Net Initial Outlay                                    (19,210.00) Chg in Taxable Inc             9,400.00          1,040.00       3,024.00
                                                                     Tax                           (3,196.00)          (353.60)     (1,028.16)
                                                                       Chg in Net Income            6,204.00            686.40       1,995.84
                                                                       Reverse Depn                (3,400.00)         4,960.00       2,976.00
                                                                       Net Operating CF             2,804.00          5,646.40       4,971.84
                                                                       Reverse NWC                                                  (5,000.00)
                                                                       Chg in ATSV                                                  13,727.76
                                                                       Net Cash Flow                                                13,699.60

                                                                                                                Old               New          Diff
                                                                       BTSV                                        1,500.00         20,000.00
                                                                       Book Value                                  5,616.00         10,080.00
                                                                       Gain(Loss) on Sale                         (4,116.00)         9,920.00
                                                                       Tax Effect                                  1,399.44         (3,372.80)
                                                                       ATSV                                        2,899.44         16,627.20     13,727.76
Problem 2:
 The MACRS depreciation rates are given in the table                      MACRS Percentag
 to the right. Using the inputs provided below, create            Year   3-year
 whatever formulas are needed to compute the book value            1      33.33%
 of the asset at the end of the year shown in the input.           2      44.45%
 Your method must work for any allowed values of the inputs.       3      14.81%
                                                                   4       7.41%
      Depreciation Class                    7-Year                 5
      Purchase Price                           $50,000             6
      Years owned (Max of 10)                 2                    7
                                                                   8
      Book Value of the asset                  $30,610             9
                                                                   10
                                                                   11



                                                                   1       7145
                                                                   2      12245
                                                                   3
                                                                   4
                                                                   5
                                                                   6
                                                                   7
                                                                   8
                                                                   9
                                                                   10

                                                               Total      19390
MACRS Percentages
      5-year    7-year  10-year
       20.00%    14.29%  10.00%    3-Year    2
       32.00%    24.49%  18.00%    5-Year    3
       19.20%    17.49%  14.40%    7-Year    4
       11.52%    12.49%  11.52%    10-Year   5
       11.52%     8.93%    9.22%
        5.76%     8.92%    7.37%             4
                  8.93%    6.55%
                  4.46%    6.55%
                           6.56%
                           6.55%
                           3.28%
Problem 3:
  Using the inputs in the table below, create whatever formulas are needed to compute the DISCOUNTED PAYBACK
  set of inputs within the 10-year time frame. Put the result in the yellow cell below the table. The result should sh
  cell where X is the discounted payback period in years. If the inputs are set to produce a project that does not ach
  payback within the 10 years, your result should return the word NEVER.



                                Cash
           Time                 Flow
             0            $         (5,000)                                       $   (5,000)
             1            $          1,000                            $892.86     $   (3,804)
             2            $          1,500                           $1,195.79    $   (1,669)
             3            $          3,000                           $2,135.34    $      555
             4            $          3,500                           $2,224.31    $    2,258
             5            $          3,000                           $1,702.28    $    3,615
             7            $          3,000                           $1,357.05    $    3,615
             8            $              -                               $0.00    $    3,615
             9            $              -                               $0.00    $    3,615
            10            $              -                               $0.00    $    3,615

  Discount Rate                         12%

   Payback Period                    3 Years
compute the DISCOUNTED PAYBACK PERIOD years for any
elow the table. The result should show "X Years" in the
 produce a project that does not achieve discounted




                                                     3
                                                     4
                                                     5
                                                     7
                                                     8
                                                     9
                                                    10
     Problem 4:
                                Cash                    Disount
                    Time        Flow                     Rate
                      0     $    (20,000)                  9.00%
                      1     $      2,500
                      2     $      4,000
                      3     $      5,000
                      4     $      6,000
                      5     $      3,800
                      6     $      3,500

A.   Using the inputs above, create one formula that computes the Net Present Value of the project. [5 Points]

     Answer:    $               (1,671.56)

B.   Using the inputs above, create one formula that computes the Modified Internal Rate of Return for the project. [5 Poin

     Answer:                        7.43%

C.   Using the inputs and outputs above, create one formula that gives the equivalent annual annuity for the project. [5 Poi

     Answer:                    ($372.62)

D.   Using the inputs and outputs above and the setup space below, create a data table
     that automatically calculates the NPV for the project (in Column D) for the discount rates
     given in Column C in the table. Then use the data table to create an NPV profile graph.
     Place your graph below the data table and format it appropriately with
     titles, axis lables, and other appropriate formating elements as appropriate.

                        Data Table
                            $      (1,672)             Column C contains the rates that need be substituted
                    0%      $       4,800              for the discount rate.
                    2%      $       3,100
                    4%      $       1,565              Column D should contain the resulting NPV's for the
                    6%      $         176              various disount rates.
                    8%      $      (1,085)
                    10%     $      (2,232)
                    12%     $      (3,278)
                    14%     $      (4,234)                                                        NPV Profile
                    18%     $      (5,913)                $6,000
                    20%     $      (6,653)
                    22%     $      (7,334)                $4,000
                    24%     $      (7,963)
                                                          $2,000
                            $2,000
26%   $   (8,545)
28%   $   (9,084)               $-
30%   $   (9,585)                     0%   5%   10%   15%
                           $(2,000)




                    NPV
                           $(4,000)

                           $(6,000)

                           $(8,000)

                          $(10,000)

                          $(12,000)
                                                       Discount Rate
t. [5 Points]




n for the project. [5 Points]




ty for the project. [5 Points]




V Profile
          20%   25%   30%   35%




Discount Rate
                                                     In the yellow cell below, create a formula that creates
 Problem 5:                                          a sentence that looks like the example below it. The
                                                     numbers for NPV and the discount rate must change
         Year                   CF                   to be correct for any cash flows that are entered in
          0             $        (6,500.00)          cells C5:C10 and the last word in the sentence must
          1             $         1,000.00           change to be either ACCEPTED or REJECTED
          2             $         1,500.00           depending on whether the NPV is positive or negative.
          3             $         1,200.00           You can create any intermediate formulas that you
          4             $         3,000.00           need to compute the results that are used in the
          5             $         3,500.00           sentence.


Discount Rate:                       9.65%

The project has an NPV of $853.29 using a discount rate of 9.65% and it should be ACCEPTED.

The project has an NPV of $6,000.00 using a discount rate of 10.00% and it should be ACCEPTED.

NPV                     $        853.29
ACCEPR OR REJECT        ACCEPTED
 create a formula that creates
e the example below it. The
e discount rate must change
 h flows that are entered in
 word in the sentence must
EPTED or REJECTED
he NPV is positive or negative.
 mediate formulas that you
sults that are used in the




be ACCEPTED.

uld be ACCEPTED.

						
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