Question

An airline is considering a project of replacement and upgrading of machinery that would improve efficiency. The new machinery costs $400 today and is expected to last for 5 years with no salvage value. Straight line depreciation will be used. Project inflows connected with the new machinery will begin in one year and are expected to be $200 each year for 5 consecutive years and project outflows will also begin in one year and are expected to be $90 each year for 5 consecutive years. The corporate tax rate is 32% and the required rate of return is 9%. Calculate the project's net present value.

Answer 1

$-9.48

Explanation:

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be calculated using a financial calculator  

Cash flow = (revenue - cost - depreciation) (1 - tax rate) + depreciation

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

(400 - 0) / 5 = 80

(200 - 90- 80) x (1 - 0.32)  + 80 = $100.40

Cash flow in year 0 = $-400

Cash flow each year from year 1 to 5 = $100.40

I = 9%

NPV = $-9.48

To find the NPV using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.  

3. Press compute