# Exercise-17: After-tax cash flows in net present value (NPV) analysis

Learning objective:
This exercise illustrates the consideration of tax effects on cash flows and tax deductible non-cash expenses (like depreciation) while conducting a project’s net present value (NPV) analysis.

Falcon Company is considering to purchase a printing machine. The relevant information is given below:

• Cost of the printing machine: \$150,000
• Annual cash inflows: \$45,000
• Useful life of printing machine: 15 years
• Salvage value (Residual value) after 15-year period: \$10,000
• Annual cash expenses: \$5,000

Falcon company uses straight line method of depreciation. Salvage value is not taken into account for calculating depreciation for tax purposes. The tax rate of Falcon is 30% and the company requires a 14% after-tax return on all investments.

Required: Compute net present value (NPV) of the proposed printing machine.

## Solution:

Let’s solve the exercise in three steps.

### Step 1 – Calculate net annual cash inflows:

Net annual cash inflow = Annual cash inflow – Annual cash expenses
= \$45,000 – \$5,000
= \$40,000

### Step 2 – Calculate the net present value:

*Value from “present value of an annuity of \$1 in arrears table“: 15 periods; 14% interest rate.
**Tax savings from depreciation tax shield – depreciation is a tax deductible non-cash expense.

### NPV decision

The printing machine has a positive net present value (NPV) of \$40,402 which makes it an acceptable investment.