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We are evaluating a project that costs $993,000, has an eight-year life, and has no salvage value

Finance Nov 24, 2020

We are evaluating a project that costs $993,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 94,000 units per year. Price per unit is $41, variable cost per unit is $28, and fixed costs are $1,009,881 per year. The tax rate is 37 percent, and we require a 13 percent return on this project. The projections given for price, quantity, variable costs, and fixed costs are all accurate to within +/- 20 percent.

  

Required:
(a) Calculate the best-case NPV. (Do not round your intermediate calculations.)
   
 

(Click to select)

  $4,703,003  

$5,924,242

$5,628,030

$6,220,454  

$883,581

  

(b) Calculate the worst-case NPV. (Do not round your intermediate calculations.)
   
 

(Click to select)

$-3,837,745  

$883,581

$-1,291,464

$6,220,454

$-4,618,205

Expert Solution

a

Time line   0 1 2 3 4 5 6 7 8    
                         
                         
                         
Cost of new machine   -993000                    
                         
=Initial Investment outlay   -993000                    
                         
                      100.00%  
Unit sales     112800 112800 112800 112800 112800 112800 112800 112800    
Profits =no. of units sold * (sales price - variable cost) 3023040 3023040 3023040 3023040 3023040 3023040 3023040 3023040    
Fixed cost     -807904.8 -807904.8 -807904.8 -807904.8 -807904.8 -807904.8 -807904.8 -807904.8    
                         
-Depreciation Cost of equipment/no. of years -124125 -124125 -124125 -124125 -124125 -124125 -124125 -124125 0 =Salvage Value
                         
=Pretax cash flows     2091010.2 2091010.2 2091010.2 2091010.2 2091010.2 2091010.2 2091010.2 2091010.2    
-taxes =(Pretax cash flows)*(1-tax) 1317336.426 1317336.426 1317336.426 1317336.4 1317336.4 1317336.4 1317336.426 1317336.4    
+Depreciation     124125 124125 124125 124125 124125 124125 124125 124125    
=after tax operating cash flow     1441461.43 1441461.43 1441461.43 1441461.4 1441461.4 1441461.4 1441461.43 1441461.4    
                         
                         
                         
                         
                         
+Tax shield on salvage book value =Salvage value * tax rate               0    
=Terminal year after tax cash flows                   0    
                         
Total Cash flow for the period   -993000 1441461.43 1441461.43 1441461.43 1441461.4 1441461.4 1441461.4 1441461.43 1441461.4    
Discount factor= (1+discount rate)^corresponding period 1 1.13 1.2769 1.442897 1.6304736 1.8424352 2.0819518 2.35260548 2.6584442    
Discounted CF= Cashflow/discount factor -993000 1275629.584 1128875.738 999005.078 884075.29 782367.51 692360.63 612708.5234 542219.93    
NPV= Sum of discounted CF= 5924242                    

b

Time line   0 1 2 3 4 5 6 7 8    
                         
                         
                         
Cost of new machine   -993000                    
                         
=Initial Investment outlay   -993000                    
                         
                      100.00%  
Unit sales     75200 75200 75200 75200 75200 75200 75200 75200    
Profits =no. of units sold * (sales price - variable cost) -60160 -60160 -60160 -60160 -60160 -60160 -60160 -60160    
Fixed cost     -1211857.2 -1211857.2 -1211857.2 -1211857 -1211857 -1211857 -1211857.2 -1211857    
                         
-Depreciation Cost of equipment/no. of years -124125 -124125 -124125 -124125 -124125 -124125 -124125 -124125 0 =Salvage Value
                         
=Pretax cash flows     -1396142.2 -1396142.2 -1396142.2 -1396142 -1396142 -1396142 -1396142.2 -1396142    
-taxes =(Pretax cash flows)*(1-tax) -879569.586 -879569.586 -879569.586 -879569.6 -879569.6 -879569.6 -879569.586 -879569.6    
+Depreciation     124125 124125 124125 124125 124125 124125 124125 124125    
=after tax operating cash flow     -755444.59 -755444.59 -755444.59 -755444.6 -755444.6 -755444.6 -755444.59 -755444.6    
                         
                         
                         
                         
                         
+Tax shield on salvage book value =Salvage value * tax rate               0    
=Terminal year after tax cash flows                   0    
                         
Total Cash flow for the period   -993000 -755444.59 -755444.59 -755444.59 -755444.6 -755444.6 -755444.6 -755444.59 -755444.6    
Discount factor= (1+discount rate)^corresponding period 1 1.13 1.2769 1.442897 1.6304736 1.8424352 2.0819518 2.35260548 2.6584442    
Discounted CF= Cashflow/discount factor -993000 -668535.035 -591623.925 -523560.996 -463328.3 -410025.1 -362854 -321109.764 -284167.9    
NPV= Sum of discounted CF= -4618205                    
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