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anastassius [24]
2 years ago
6

A firm is considering a project that will yield $10,000 per year for 10 years. The required return on this project is 12.05%, co

mpounded monthly. What is the maximum amount that the firm should be willing to invest in the project to accept this project
Business
2 answers:
xenn [34]2 years ago
6 0

Answer:

$695,603.10

Explanation:

The maximum amount that the firm would be willing to invest in the project to accept it can be calculated using the present value (PV) of an ordinary annuity stated as follows:

PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (1)

Where;

PV = Present value or the maximum amount to invest?

P = yearly yield = $10,000

r = required return rate = 12.05% annually = (12.05% ÷ 12) monthly = 1.0041667% monthly or 0.010041667

n = number of period = 10 years = 10 × 12 months = 120 months

Substituting the values into equation (1), we have:

PV = 10,000 × [{1 - [1 ÷ (1+0.010041667)]^120} ÷ 0.010041667]

     = 10,000 × [{1 - [1 ÷ 1.010041667]^120} ÷ 0.010041667]

     = 10,000 × [{1 - [0.990058165590509]^120} ÷ 0.010041667]

      = 10,000 × [{1 - 0.301498531063694} ÷ 0.010041667]

      = 10,000 × [0.698501468936306 ÷ 0.010041667]

      = 10,000 × 69.5603099501613

PV = $695,603.10

The maximum amount that the firm would be willing to invest in the project to accept it is $695,603.10 .

Lesechka [4]2 years ago
3 0

Answer:

The maximum amount that the firm should invest in the project $695,603.10

Explanation:

The applicable formula in this scenario is the present value of an ordinary annuity,modified for timing of the cash flows,which is given below:

PV=A*(1-(1+r)^-N)/r

PV is the unknown

A is the periodic inflow of $10,000

r is the rate of return of 12.05% divided by 12 months i.e 12.05%/12=0.010041667

N is the number of years multiplied by 12 months i,e 10*12=120

PV=10000

annuity factor=(1-(1+r)^-N)/r

annuity factor=1-(1+0.010041667 )^-120/0.010041667

annuity factor=(1-0.301498531 )/0.010041667

annuity factor=69.56030996

PV=69.56030996 *10000

PV=$695,603.10

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Traceable fixed overhead per unit                 $16 (Alpha)        $18 (Beta)

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Total Traceable Fixed Manufacturing            1600000               1800000

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Common fixed expenses                                    $15                      $10

level of activity                                                    100,000            100,000 units

Total common fixed expenses                          1500000            1000000

Company's total common fixed expenses = 2500000

3) Alpha

Selling price/ unit                                  $80

DM                                                           30

DL                                                             20

V.MOH                                                      7

V.selling expense                                    12

Total cost/unit                                         $69

Incremental/unit                                        11

Increase in profit when order will be accepted = $110,000    

4) Beta

Selling price/unit                                        39

DM                                                               12

DL                                                                 15

V.MOH                                                        5

V.selling expense                                      18

Total cost/unit                                             50

Incremental loss per unit                          -11

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DM                                                                 30

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V.seling expense                                          12

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Increase in profit                                        145,000              

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