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Homework answers / question archive / Calculations must be done in Excel - Using the capital budgeting method of; Tax Effects, then Cash flows, then NPV

Calculations must be done in Excel - Using the capital budgeting method of; Tax Effects, then Cash flows, then NPV

Finance

Calculations must be done in Excel - Using the capital budgeting method of; Tax Effects, then Cash flows, then NPV.

As the financial advisor to All Star Manufacturing you are evaluating the following new investment in a manufacturing project: -

The project has a useful life of 12 years.

Land costs $6m and is estimated to have a resale value of $10m at the completion of the project.

Buildings cost $5m, with allowable depreciation of 10% pa reducing balance and a salvage value of $0.9m.

Equipment costs $4m, with allowable depreciation of 20% pa reducing balance and a salvage value of $0.5m. An investment allowance of 20% of the equipment cost is available.

Revenues are expected to be $7m in year one and rise at 5% pa.

Cash expenses are estimated at $3m in year one and rise at 3% pa.

The new product will be charged $400,000 of allocated head office administration costs each year even though head office will not actually incur any extra costs to manage the project.

An amount of $100,000 has been spent on a feasibility study for the new project.

The project is to be partially financed with a loan of $7.5m to be repaid annually with equal instalments at a rate of 4% pa over 12 years.

Except for initial outlays, assume cash flows occur at the end of each year.

The tax rate is 30% and is payable in the year in which profit is earned.

The after-tax required return for the project is 8% pa.

Required

  1. Calculate the NPV. Is the project acceptable? Why or why not?
  2. Conduct a sensitivity analysis showing how sensitive the project is to revenues, the resale value of the land and to the required rate of return. Explain your results.

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The annual payment on loan will be
7.5=Pmt.*(1-1.04^-12)/0.04
Pmt.=7.5/((1-1.04^-12)/0.04)=
0.799141
Now, constructing the Loan amortisation table, to know the annual Interest Tax shields
Year Annual Pmt. Tow. Int. Tow. Loan Loan bal. ITS=Int.*30%
0       7.5  
1 0.799141 0.3 0.499141 7.000859 0.09
2 0.799141 0.280034 0.519107 6.481752 0.08401
3 0.799141 0.25927 0.539871 5.941881 0.077781
4 0.799141 0.237675 0.561466 5.380414 0.071303
5 0.799141 0.215217 0.583925 4.79649 0.064565
6 0.799141 0.19186 0.607282 4.189208 0.057558
7 0.799141 0.167568 0.631573 3.557635 0.05027
8 0.799141 0.142305 0.656836 2.900799 0.042692
9 0.799141 0.116032 0.683109 2.21769 0.03481
10 0.799141 0.088708 0.710434 1.507256 0.026612
11 0.799141 0.06029 0.738851 0.768405 0.018087
12 0.799141 0.030736 0.768405 0.00 0.009221
  9.589696 2.089696 7.5   0.626909
Workings:    
Building depreciation    
Book/carrying Value 1.412148 5*(1-10%)^12
Salvage 0.9  
Loss on salvage 0.512148  
Tax CF saved on loss 0.153644  
ATCF on salvage(Salvag+Cash saved) 1.053644  
     
Equipment depreciation    
Book/carrying Value 0.219902 (4-0.8)*(1-20%)^12
Salvage 0.5  
Gain on salvage 0.280098  
Tax CF on gain 0.084029  
ATCF on salvage(Salvage-Tax CF on gain) 0.415971  
Fig.in mlns.                          
Year 0 1 2 3 4 5 6 7 8 9 10 11 12
1.Land -6                        
2.Buildings -5                        
3.Equipment -4                        
4.Investment allowance(4*20%) 0.8                        
5.ATCF on sale of land(10*(1-30%))                         7
6.ATCF on salvage of Building                         1.05364
7.ATCF on salvage of Equipment                         0.41597
                           
Operating cash flows:                          
Revenues   7 7.35 7.7175 8.10338 8.50854 8.93397 9.38067 9.8497 10.3422 10.8593 11.4023 11.9724
Cash expenses   -3 -3.09 -3.1827 -3.27818 -3.3765 -3.4778 -3.5822 -3.6896 -3.8003 -3.9143 -4.0317 -4.1527
Depn.-Bldgs.   -0.5 -0.45 -0.405 -0.3645 -0.3281 -0.2952 -0.2657 -0.2391 -0.2152 -0.1937 -0.1743 -0.1569
Depn. Eqpt.   -0.64 -0.512 -0.4096 -0.32768 -0.2621 -0.2097 -0.1678 -0.1342 -0.1074 -0.0859 -0.0687 -0.055
EBIT   2.86 3.298 3.7202 4.13301 4.54182 4.95119 5.36502 5.78672 6.21927 6.66537 7.12745 7.60779
Tax at 30%   -0.858 -0.9894 -1.1161 -1.2399 -1.3625 -1.4854 -1.6095 -1.736 -1.8658 -1.9996 -2.1382 -2.2823
EAT   2.002 2.3086 2.60414 2.89311 3.17928 3.46583 3.75551 4.0507 4.35349 4.66576 4.98922 5.32546
Add back: depn.(Bldgs.+Eq.)   1.14 0.962 0.8146 0.69218 0.59019 0.50496 0.43349 0.37337 0.32261 0.27961 0.24306 0.21188
Add:Interest tax shields   0.09 0.08401 0.07778 0.0713 0.06456 0.05756 0.05027 0.04269 0.03481 0.02661 0.01809 0.00922
8.Operating Cash flows   3.232 3.35461 3.49652 3.65659 3.83404 4.02835 4.23928 4.46676 4.71091 4.97198 5.25036 5.54656
                           
9.NET annual FCFs(1 to 7)+8 -14.2 3.232 3.35461 3.49652 3.65659 3.83404 4.02835 4.23928 4.46676 4.71091 4.97198 5.25036 14.0162
PV F at 8%(1/1.08^ yr.n) 1 0.92593 0.85734 0.79383 0.73503 0.68058 0.63017 0.58349 0.54027 0.50025 0.46319 0.42888 0.39711
PV at 8%(FCF*PV F) -14.2 2.99259 2.87604 2.77565 2.6877 2.60938 2.53854 2.47358 2.41325 2.35663 2.30299 2.25179 5.56601
NPV at 8%(Sum PVs) 19.6442   YES. The project is acceptable as the NPV of its cashflows is POSITIVE.    
b..Sensitivity of NPV      
Revenues NPV Change from Base case NPV % change
Base case 19.6442    
10% inc. 24.3292 4.6850 23.85%
-10% 14.9591 -4.6851 -23.85%
       
Resale value of Land      
10% inc.      
Base case 19.6442    
10% inc. 19.9221 0.2779 1.41%
-10% 19.3662 -0.278 -1.42%
       
Reqd. Return      
Base case 19.6442    
10% inc. 18.0111 -1.6331 -8.31%
-10% 21.4002 1.756 8.94%
From the above sensitivity table, we can see that the project's NPV is
Maximum sensitive to revenues   & Minimum sensitive to resale value of land