# Impact of income tax on capital budgeting decisions

The income tax usually have a significant impact on the cash flow of a company and should therefore be taken into account while making capital budgeting decisions. An investment that looks desirable without considering income tax may become unacceptable after considering it. Before explaining the impact of income tax on capital budgeting decisions using a net present value (NPV) example, we need to understand three important concepts. These concepts are **after-tax benefit**, **after-tax cost** and **depreciation tax shield**. A brief explanation and example of each is given below:

## After-tax benefit or cash inflow:

Taxable revenues or cash inflows, when reduced by the income tax, are known as * after-tax benefit* or

*. When income tax is considered in capital budgeting decisions, we use after-tax cash inflow. An example of taxable cash inflow is cash generated by a company from its operations.*

**after-tax cash inflow**After tax benefit or after tax cash inflow can be easily computed using the following formula:

**After-tax benefit or after-tax cash inflow = (1 – Tax rate) × Taxable cash receipt**

### Example 1:

XYZ company generated $500,000 cash from its operations. The tax rate of the company is 40%. Compute after-tax cash inflow.

#### Solution:

After-tax benefit or after-tax cash inflow = (1 – Tax rate) × Taxable cash receipt

= (1 – 0.4) × $500,000

= 0.6 × $500,000

= $300,000

## After-tax cost:

A tax deductible cost reduces taxable income of the entity and helps save its income tax. A cost net of its tax effect is known as * after-tax cost* and can be computed using the following formula:

**After-tax cost or after tax cash outflow = (1 – Tax rate) × Tax deductible cash expense**

### Example 2:

A company wants to start a training program that will cost it $70,000. The cost of training program is a tax deductible cost for the company. Compute after-tax cost of training program if tax rate of the company is 40%.

#### Solution:

After-tax cost or after tax cash outflow = (1 – Tax rate) × Tax deductible cash expense

= (1 – 0.4) × $70,000

= 0.6 × $70,000

= $42,000

## Depreciation tax shield:

Depreciation is a non-cash tax deductible expense that saves income tax for business entities by reducing their taxable income. The amount of tax that the annual depreciation of an entity saves is known as * depreciation tax shield*. The formula to compute depreciation tax shield is as follows:

**Depreciation tax shield = Tax rate × Depreciation deduction**

### Example 3:

The annual tax deductible depreciation expense of a company is $50,000 and its tax rate is 40%. Compute tax savings from depreciation (i.e., depreciation tax shield).

#### Solution:

Depreciation tax shield = Tax rate × Depreciation deduction

= 0.4 × $50,000

= $20,000

## Capital budgeting with income tax:

Since we have learned the concept of after-tax cash inflow, after-tax cost and depreciation tax shield, now we can explain the impact of income tax on capital budgeting with the help of a comprehensive example.

### Example 4:

A company is considering the purchase of an equipment to save its costs. The relevant data for net present value analysis of the equipment is given below:

- Cost of the equipment: $240,000
- Expected annual cash savings before tax to be provided by the equipment: $100,000
- Useful life of the equipment: 6 years
- Expected residual or salvage value of the equipment at the end of 6 year period: $30,000
- Tax rate: 40%
- Discount rate: 12%

The equipment is to be depreciated using straight line method of depreciation. The company does not deduct salvage value from the cost of the equipment for computing depreciation for tax purpose.

**Required:** Determine net present value of the investment.

#### Solution:

Depreciation = $240,000/6 years

= $40,000

* Value from present value of an annuity of $1 in arrears table.

** Value from present value of $1 table.

Residual value (salvage value) is taxable because it has not been considered while computing depreciation. At the end of the useful life, the equipment will have a book value of zero.

**We can also present the solution in horizontal format as follows:**

($100,000 x 0.6 x 4.111) + ($40,000 x 0.4 x 4.111) + ($30,000 x 0.6 x 0.507) – ($240,000 x 1.000)

= $246,660 + $65,776 + $9,126 – $240,000

= $81,562 NPV

13 Comments on Impact of income tax on capital budgeting decisionsWhere did you get the 40000 Depreciation tax shield? Its not in the information

Depreciation = $240,000/6 years

@Matt It is depreciation.

Cost/Useful life of the equipment

240,000/6

=40,000

Shouldn’t SL depreciation equal purchase cost – estimated salvage value, then divided by useful life?

($240,000 – $30,000)/6 yrs? Which equals depreciation of $35,000 per year.

Yes that’s right. However, the problem explicitly stated that “The company does not deduct salvage value from the cost of equipment for computing depreciation…” which is still fine since this scope falls more on under managerial accounting rather than financial accounting.

how do we arrived at 4.111 ( present value factor )using 1-6 years

because when look into present value of annuity you find the factor of 12% in 6 years it is same thing whether you use annuity or just present value for consecutive 6 years, on summations of 6 you will find 4.11

1/1.12. = .8929

.8929 /1.12 =.7972

.7972/1.12 =.7118

.7118/1.12 =.6355

.6355/1.12 =.5674

.5674/1.12 =.5066

Total. =4.111

clear working but derivation of 4.111 should be explained

Hi,

Can I side-track and ask if there is a requirement in increased inventory and additional sales and administrative personnel costs, do we have to deduct tax too?

where are the tax factors of 0.6,0.4 and 0.6 from

how do we treat investment tax credit in capital budgeting?

Hello,

Why is the discount rate used not after-tax also? When do we use after-tax discount rate in capital budgeting?

Thank you