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i=16%

 

1. :

7

(original production line) $32000
(current book value) $25600
(relevant market value) 15000
(loss on sale) $10600
(relevant tax savings on loss 30%) 3816
(net loss) $6784
(net investment) $55500
(scrap value, value on eight years) $1500
   
(calculation of net investment)  
(new production line) $55500
(less cash on old) 15000
  $40500
(less tax savings) 3816
$36684

 

2. (operating savings and benefits)

 

8

  . (original production line) . (new production line) (annual difference)
(operating savings-current volume)    
(labour) $24000 $16000 $8000
(materials)      
200% (overhead 200%of labour) 48000 32000
  $168000 $140000 $12000
(additional volume)  
30000 @0.95 $28500  
(labour)@0.08 -2400  
(materials)@0.46 -13800  
(sales and promotion) -5500 6800
(total savings and contribution)   $18800
(depreciation) $3200 $6750 -3550
(taxable benefits)     $15250
(taxes at 36%)     5490
(aftertax benefits)     $9760
(add back depreciation)   3550
(aftertax cash flow)     $13260

 

.    
  -1500 (scrap)
  $54000+8=$6750/

 

 

3. (payback):

 

Payback=[ (initial investment)- (scrap value in eight years) ]/ (aftertax cash flow)=($36684-$1500)/$13260=2.65

 

Payback(2.65)< (8 ),

 

4. (return on investment):

 

ROI= (aftertax cash flow)/ [ (initial investment)- (scrap value in eight years) ]=$13260/($36684-$1500)=37.7%

 

5. (net present value):

 

9

 

(Benefits(inflows)) PV factor at 16 %
  $36684 -   -36684 -36684
1-8 - $13260 4.344    
  - $1500 0.305    
  $36684 $107580   $21375  

 

NPV >0,

 

6. (Benefit Cost Ratio (BCR))

 

Profitability index = (present value of operating inflows (benefit))/ (Present value of net investment outlays (cost))=

=$57601/($36684-$458)=1.59

 

7. Benefit Cost Ratio (BCR) (terminal value)

 

=($57601+$458)/$36684=1.58

 

BCR >1,

 

8. (present value payback) :

 

Annuity factor=$(36684-$458)/$13260=2.732

 

9.Annualized NPV

 

Annuity = NPV / Factor = $21375/4.344=$4920

 

10. (iternal rate of return):

 

Anuity factor 2,732, 7 , IRR 30-35%.

 

IRR=Present value(net investment)/Annuity

 

10

Benefits (inflows) PV factor at 35% PV factor at 30 % (35%) (30%)
  $36684 -     -36684 -36684
1-8 - $13260 4.344 2.925    
  - $1500 0.305 0.123    
  $36684       -'$2098 $2286

IRR=32%

IRR (32%)>I(16%), .

 

 


11. :

 

11

 

 

  . - -   - -   - -   - - .
280,000   25,600 254,400     254,400 55,500   309,900   28,400 281,500
                           
30,000 15,000   45,000 36,684   81,684   55,500 26,184 106,080 36,684 95,580
                           
156,000 1,500   157,500     157,500     157,500     157,500
                           
(180,000)     (180,000)   36,684 (216,684)     (216,684) 36,684   (180,000)
                           
(286,000) 9,100   (276,900)     (276,900)     (276,900) 28,400 106,080 (354,580)
                           
    25,600 25,600   36,684 36,684   55,500 55,500   171,164 171,164  

 


1 2 -
       
       
    62,5
     
    37,5
    12,5  
      ,
     
     
       
       
       
    12,5  




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