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Alex
3 years ago
8

Your firm is contemplating the purchase of a new $684,500 computer-based order entry system. The system will be depreciated stra

ight-line to zero over its 5-year life. It will be worth $66,600 at the end of that time. You will be able to reduce working capital by $92,500 (this is a one-time reduction). The tax rate is 21 percent and your required return on the project is 21 percent and your pretax cost savings are $203,750 per year. At what level of pretax cost savings would you be indifferent between accepting the project and not accepting it?
Business
1 answer:
liraira [26]3 years ago
3 0

Answer:

total pretax annual savings = $210,941.06

Explanation:

initial outlay (year 0) = -$684,500 (cost of computer system) + $92,500 (reduction of net working capital) = -$592,000

depreciation expense per year = $684,500 / 5 = $136,900

net after tax cash value = $66,600 x (1 - 21%) = $52,614

net cash flows years 1 - 4 = [($203,750 - $136,900) x 79%] + $136,900 = $189,711.50

net cash flow year 5 = $189,711.50 + $52,614 = $242,325.50

using a 21% discount rate, the NPV = -$16,622.15

Since the NPV is negative, that means that the annual cost savings are not high enough to accept the project.

the point where the company would be indifferent between accepting or rejecting the project is when NPV = 0

this means that net cash flows must increase by $16,622.15 / 2.92595 (PV annuity factor, 21%, 5 periods) = $5,680.94

this is an after tax number, but a pretax annual cost saving = $5,608.94 / 0.79 = $7,191.06

total pretax annual savings = $203,750 + $7,191.06 = $210,941.06

net cash flows years 1 - 4 = [($210,941.06 - $136,900) x 79%] + $136,900 = $195,392.44

net cash flow year 5 = $195,392.44 + $52,614 = $248,006.44

NPV = 0

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Explanation:

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Answer:

Pro Forma Income Statement                                     30,000 units

Sales($90 * 30,000)                                                     $2,700,000

Minus Variable Costs                                                   $1,620,000

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 - Direct Labor ($9*30,000) =270,000

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Contribution                                                                  $1,080,000

minus Fixed Costs                                                        $378,000

- Manufacturing costs = 270,000

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Net Income                                                                   $702,000

FLEXIBLE BUDGET INCOME STATEMENT

                                                        29,000 UNITS          31,000 UNITS

Sales                                             $2,610,000                 $2,790,000

Minus Variable costs                   $1,566,000                 $1,674,000

Direct Material                             $522,000                    $558,000          

Direct labor                                  $261,000                     $279,000

Overhead cost                             $365,400                    $390,600

Selling and Admin cost               $417,600                     $446,400

Contribution                                 $1,044,000                 $1,116,000

Minus Fixed Cost                         $378,000                      $378,000

 - Manufacturing cost                  $270,000                      $270,000

 - Selling and Admin cost            $108,000                      $108,000

Net Income                                   $666,000                     $738,000

Details                                 30,000 Units              31,000 Units  Variance

Sales                                   $2,700,000                $2,790,000   $90,000 F

Direct Material                    $540,000                  $558,000      $18,000 U

Direct Labor                        $270,000                  $279,000      $9,000 U

Overhead cost                   $378,000                   $390,600      $12,000 U

Selling and Admin             $432,000                   $446,400      $14,400 U

Total                                                                                              $36,600 F

Explanation:

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