Scenario

Cash flow type

Include to our NPV analysis?

How much to be included (apply tax if applicable)

N/A : Not applicable - No calculation needed

An increase in sales of $50,000

Rental cost reduces from $50,000 to $20,000

Maintenance cost remains at $20,000

Salary increases by $10,000

Dividend payment of $20,000

Rejected the offer to invest into another project with a potential earning of $30,000

Machine valued at $200,000 with installation cost of $10,000

Depreciation expense is found to be $20,000 per year

Accordingly, tax saving from depreciation per year is $6,000

If you struggle with this question, please revisit our Week 4 Module

Question

Scenario

Cash flow type

Include to our NPV analysis?

How much to be included (apply tax if applicable)

N/A : Not applicable - No calculation needed

An increase in sales of $50,000

Rental cost reduces from $50,000 to $20,000

Maintenance cost remains at $20,000

Salary increases by $10,000

Dividend payment of $20,000

Rejected the offer to invest into another project with a potential earning of $30,000

Machine valued at $200,000 with installation cost of $10,000

Depreciation expense is found to be $20,000 per year

Accordingly, tax saving from depreciation per year is $6,000

If you struggle with this question, please revisit our Week 4 Module

BlackTom AI · Accepted Answer

The question presents a scenario with several potential cash-flow items and asks which should be included in the NPV analysis, and in what amount (with tax implications where applicable). Since no explicit answer choices are provided, I will evaluate each listed item and explain whether it should be included in a typical incremental NPV analysis, and how to treat it tax-wise where relevant.

Item: An increase in sales of $50,000
- This represents additional revenue generated by the project. In an incremental NPV analysis, all incremental operating inflows are included after tax. If the $50,000 increase is a before-tax figure, you would apply taxes to determine after-tax cash flow. However, many problems present incremental sales as a gross figure that contributes to EBIT after subtracting associated costs (if any). Here, since no direct costs tied to the sales increase are specified, assume a positive incremental cash inflow of +$50,000 (before tax) that will be taxed as part of EBIT. The exact after-tax amount depends on the tax rate, which is implied later to be 30% (see depreciation tax shield). In short: include as an incremental inflow, with tax treatment accounted for in EBIT/tax calculation.

Item: Rental cost reduces from $50,000 to $20,000
- This is a cost saving of $30,000 per year. Cost savings are incremental cash inflows for the project. The $30,000 reduction in expense increases operating cash flow. This is typically treated as an after-tax benefit because it reduces expenses; tax is applied to earnings before tax, but since this is a reduction in cost, the after-tax effect is effectively the same as adding the pre-tax savings and then considering its tax impact within the EBIT calculation. Net effect: include +$30,000 per year in operating cash flow (before tax, then included in EBIT and taxed accordingly).

Item: Maintenance cost remains at $20,000
- Since maintenance cost does not change with the decision, it is a sunk or non-incremental cost for the project. It should be excluded from the incremental cash flows used in the NPV calculation because it would exist irrespective of whether the project is undertaken. Therefore, this item is not included in the NPV analysis.

Item: Salary increases by $10,000
- This is an incremental labor cost caused by the project. It reduces the operating cash flow and thus should be included as an outflow in the incremental analysis. After tax, salary costs reduce cash flow by the amount, but you account for taxes within the EBIT calculation: EBIT would include the higher salary expense, reducing taxable income, and the tax effect would appear in the later tax calculation. Net effect: include -$10,000 (pre-tax) as an operating cash outflow; the tax shield is already reflected in the EBIT/tax computation.

Item: Dividend payment of $20,000
- Dividends are a financing cash flow, not an operating cash flow. For project NPV analysis, dividends paid by the company to its shareholders are not part of the incremental cash flows from the project itself. Therefore, this should be excluded from the project’s NPV calculation.

Item: Rejected the offer to invest into another project with a potential earning of $30,000
- This is an opportunity cost. For NPV, the foregone alternative yields should be included as an opportunity cost because choosing the current project means you forgo this alternative. If the $30,000 is a potential incremental cash inflow that would have occurred if you pursued the other project, you should subtract it (or equivalently add a negative incremental cash flow of -$30,000) to reflect the value of the foregone opportunity. Tax implications would apply if that $30,000 were subject to tax in the alternative, but in most straightforward analyses, you treat the foregone cash flow as an opportunity cost included in the analysis as stated (assuming the $30,000 would have been received after tax). If you have a tax rate, you should adjust accordingly, but the key point is: include the opportunity cost as part of the project’s cash flows.

Item: Machine valued at $200,000 with installation cost of $10,000
- This represents the initial capital outlay required to undertake the project: $200,000 + $10,000 = $210,000. In NPV terms, this is an initial cash outflow at time zero and must be included in the analysis. Since this is a capital expenditure, tax effects come later through depreciation; the actual tax shield from depreciation is a separate, annual benefit that reduces taxes and increases after-tax cash flow each year.

Item: Depreciation expense is found to be $20,000 per year
- Depreciation is a non-cash expense used for tax calculations. It reduces taxable income, producing a tax shield equal to tax rate times depreciation. The problem states the annual tax saving from depreciation is $6,000, which implies a 30% tax rate (0.30 × $20,000 = $6,000). In the NPV analysis, you do not include depreciation as a direct cash outflow; instead, you add back the non-cash depreciation (to compute EBIT for tax) and separately include the tax shield as part of after-tax cash flow: OCF includes EBIT after tax plus the depreciation tax shield. Practically, the annual incremental after-tax cash flow from operations would reflect this depreciation shield of $6,000.

Item: Tax saving from depreciation per year is $6,000
- This is consistent with a 30% tax rate and $20,000 of annual depreciation. It is a non-cash inflow arising from the tax deduction. In the NPV calculation, you should add this tax shield to your annual cash flow, because it increases after-tax cash flow without requiring a cash outlay. Net effect: include +$6,000 per year as a non-cash tax shield component of the operating cash flow.

Item: Overall tax rate implied by depreciation shield (if interpreted) – 30%
- The given depreciation shield of $6,000 on $20,000 depreciation implies a 30% tax rate. This is important for calculating after-tax cash flows from operations, since taxes depend on taxable income. Use this tax rate consistently when computing EBIT, taxes, and the depreciation shield in each year’s cash flow.

Summary guidance for inclusion in the NPV analysis:
- Include initial outlay: -$210,000 (machine and installation).
- Include incremental operating inflows/outflows each year:
  - +$50,000 from sales (subject to tax in EBIT).
  - +$30,000 savings from reduced rental costs.
  - -$10,000 salary increase (incremental cost).
  - Exclude non-incremental costs/cash items: maintenance that remains the same; dividends are financing, not operating; any other sunk costs.
- Include opportunity cost: -$30,000 for rejecting the other project (adjust as appropriate for tax treatment if the foregone amount would have been taxed differently).
- Include depreciation: $20,000 per year as a non-cash expense, with a tax shield of $6,000 per year, which increases after-tax cash flow.
- Compute operating cash flow as: EBIT × (1 − tax rate) + depreciation, or equivalently: (Sales + rental savings − salary − other operating costs) × (1 − tax rate) + depreciation. Use the implied tax rate (30%) to reflect the tax payments and depreciation shield.

Note: If the problem requires selecting which items to include as cash flows, the items to include are: initial outlay of $210,000; annual incremental operating cash flows including the $50,000 sales increase, the $30,000 rental savings, the $10,000 salary increase (outflow), the depreciation tax shield ($6,000) as part of the after-tax cash flow, and the foregone $30,000 from rejecting the other project as an opportunity cost. The dividends of $20,000 would not be included in the project’s NPV calculation. The maintenance cost that remains unchanged should be excluded from incremental cash flows.

BFIN011 Week 11: Final Exam Practice Quiz

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