Answer:
NPV = $39,230
Payback period = 3.64 years
Explanation:
The net present value (NPV) = (net annual cash flow x interest factor) - investment
NPV = ($110,000 x 3.993) - $400,000 = $439,230 - $400,000 = $39,230
The payback period = investment / net annual cash flow = $400,000 / $110,000 = 3.64 years or 3 years, 7 months and 19 days
You can also calculate the PV of each annual cash flow which will give you a more precise result, but the variation is minimal:
PV = ($110,000 / 1.08) + ($110,000 / 1.08²) + ($110,000 / 1.08³) + ($110,000 / 1.08⁴) + ($110,000 / 1.08⁵) = $439,198
and the NPV = $39,198