The Static Payback Period is the time required to recover the cost of an investment without considering the time value of money (unlike the Discounted Payback Period). In long-term construction projects, this is often calculated using a cumulative cash flow table.
The general formula for a payback period when annual cash inflows are uneven is:
Payback Period=A+CB
Where:
A is the last period with a negative cumulative cash flow.
B is the absolute value of cumulative cash flow at the end of period A.
C is the total cash flow during the period immediately following A.
In standardized project management exam questions of this type, you are looking for the equation where the math actually balances to the provided result. Let ' s look at the options:
A: 6+(1300/500)=6+2.6=8.6 (The result 6.6 is mathematically incorrect).
B: 3+(1200/500)=3+2.4=5.4 (While the result is 5.4, this implies the project broke even almost immediately after year 3 despite being an 8-year project).
C: 5+(700/500)=5+1.4=6.4 (The result 5.4 is mathematically incorrect).
D: 5+(200/500)=5+0.4=5.4 (This is mathematically sound: 200/500=0.4. Adding that to year 5 gives exactly 5.4).
In a construction project lasting eight years, a payback period of 5.4 years suggests:
By the end of Year 5, the project still had 200 units of " debt " (unrecovered investment).
In Year 6, the project generated 500 units of cash flow.
The project reached the " break-even " point 40% (0.4) of the way through Year 6.
The Project Management Institute (PMI) highlights that while the Payback Period is a simple and intuitive way to measure risk (shorter is better), it ignores any cash flows that occur after the payback point. For an 8-year project, the project manager must also consider the Internal Rate of Return (IRR) or Net Present Value (NPV) to understand the project ' s true long-term profitability beyond the initial 5.4 years.
