Two projects that have the same cost and the same expected cash flows will have the same payback period.

Question

BlackTom AI · Accepted Answer

Consider the statement: 'Two projects that have the same cost and the same expected cash flows will have the same payback period.'

First, think about what the payback period measures: the time it takes for cumulative cash inflows to equal the initial investment. If two projects start with identical costs and produce exactly the same cash inflows on the same schedule, their cumulative cash flow trajectories are identical, so the point at which the initial cost is recovered will occur at the same time for both projects.

Now, evaluate the True option: If the costs and the entire cash flow profile are the same, the payback period must be the same, since the recovery timing depends solely on those two factors. There is no discounting or other adjustment in the basic payback period calculation that could differentiate them.

Examine the False option: One could imagine caveats such as different timing nuances within a period, rounding effects, or a small difference in cash flow timing that still yields the same total over a period but shifts the exact payoff time. However, the statement explicitly says the same cost and the same expected cash flows, which includes both amount and timing, making such caveats irrelevant under the given condition.

Additionally, note that payback period ignores discounting; even if one project were to have a different discount rate, that would affect net present value rather than the payback period itself. Since the premise fixes both cost and cash flows, discounting does not create a divergence in payback timing here.

In summary, with identical initial outlay and identical cash flow patterns, the point at which the initial investment is recovered must align, making the payback periods the same under the stated conditions. If you accept the premise as stated, the reasoning supports the conclusion implied by the statement.

Two projects that have the same cost and the same expected cash flows will have the same payback period.True/False

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