We would compute NPV for all the three alternatives:
a. continue to rent the building
b. Project A, or
c. Project B.
If all three of the projects have a positive NPV, then we need to consider the project with the highest NPV.
Following cash flows should not be considered in the incremental cash flow analysis.:
a. The remaining fraction of the value of the building and depreciation are not incremental costs and need to be excluded while doing the analysis of the two alternatives.
b. The $2,160,000 purchase price of the building is a sunk cost and should not be included.
c. Since we need to calculate the NPV of the future cash flows for each option, so the only cash flow today would be the building modifications required for Project A and Project B. If these costs are included, they would be reducing the NPV of all three options by the same amount, hence resulting in same conclusion.
d. The cash flows coming from renting the building after Year 15 are also not important costs since whatever alternative the company selects as of now, it would be renting the building after Year 15, so these cash flows would not be incremental for any of the options.
Option 1 : Calculation of the NPV for the decision to continue to rent the building :
Continue to rent:
Rent | $50,000 |
Taxes | 17,000 |
Net income | $33,000 |
Since in this option, there would not be any incremental depreciation, the operating cash flow = the net income.
So, the NPV for the decision to continue to rent can be calculated using the below formula:
NPV = $33,000(PVIFA12%,15)
NPV = $224,758.53
Option B. : calculation of the NPV for the decision to modify the building to produce Product A
a. The income statement for this modification would remain same for the first 14 years.
b. In Year 15, the company would be incurring an additional expense to convert the building back to its original form. This will be an expense in Year 15, which will make changes in the income statement.
c. The cash flow at Year 0 would be the cost of the equipment, and the cost of the initial building modifications, both of which would be depreciated on a straight-line basis.
Hence, the cash flows for Product A can be calculated as follows:
Initial cash outlay:
Building modifications | –$114,000 |
Equipment | –235,000 |
Total cash flow | –$349,000 |
Years 1-14 | Year 15 | |
Revenue | $305,000 | $305,000 |
Expenditures | 180,000 | 180,000 |
Depreciation | 23,267 | 23,267 |
Restoration cost | 0 | 65,000 |
EBT | $101,733 | $36,733 |
Tax | 34,589 | 12,489 |
NI | $67,144 | $24,244 |
OCF | $90,411 | $47,511 |
The Operating Cash Flow (OCF) each year = net income plus depreciation. So, the NPV for modifying the building to manufacture Product A can be calculated as follows:
NPV = –$349,000 + $90,411(PVIFA12%,14) + $47,511/1.1215
NPV = $258,937.13
Option C. : calculation of the NPV for the decision to modify the building to produce Product B
a. The income statement for this modification would remain same for the first 14 years.
b. In Year 15, the company would be incurring an additional expense to convert the building back to its original form. This will be an expense in Year 15, which will make changes in the income statement.
c. The cash flow at Year 0 would be the cost of the equipment, and the cost of the initial building modifications, both of which would be depreciated on a straight-line basis.
Hence, the cash flows for Product B can be calculated as follows:
Initial cash outlay:
Building modifications | –$132,000 |
Equipment | –282,000 |
Total cash flow | –$414,000 |
Years 1-14 | Year 15 | |
Revenue | $372,000 | $372,000 |
Expenditures | 230,000 | 230,000 |
Depreciation | 27,600 | 27,600 |
Restoration cost | 0 | 78,000 |
EBT | $114,400 | $36,400 |
Tax | 38,896 | 12,376 |
NI | $75,504 | $24,024 |
OCF | $103,104 | $51,624 |
The Operating Cash Flow (OCF) each year = net income plus depreciation. Hence, the NPV for modifying the building to manufacture Product B can be calculated as follows:
NPV = –$414,000 + $103,104(PVIFA12%,14) + $51,624/1.1215
NPV = $278,822.17
We could have also compared the above three options by analysing the incremental cash flows between Product A and continuing to rent the building, and the incremental cash flows between Product B and continuing to rent the building. We can see this calculation as below:
a. NPV of differential cash flows between Product A and continuing to rent:
NPV = NPVProduct A – NPVRent
NPV = $258,937.13 – 224,758.53
NPV = $37,178.60
b. NPV of differential cash flows between Product B and continuing to rent:
NPV = NPVProduct B – NPVRent
NPV = $278,822.17 – 224,758.53
NPV = $54,063.64
As we can see above, under Both the above incremental analyses have a positive NPV.
Since Product B has the highest marginal NPV, the company should select Product B as we have seen under both the above analysis calculations.
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Here is what it should look like in Excel (as an example):
As for the previous month's entries, here they are with the
General Journal I made.
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