How quantitative results inform the decision
Payback, ARR and NPV turn forecasts into clear decision rules for accepting, rejecting and ranking projects.
The quantitative results of appraisal give a firm an objective, comparable basis for an investment decision. Each method produces a clear decision rule:
- Payback β accept if the project pays back within the firm's target period; between projects, prefer the shorter payback (faster recovery β lower risk, better liquidity).
- ARR β accept if the ARR exceeds the firm's target (criterion) rate; between projects, prefer the higher ARR (more profitable).
- NPV β accept if the NPV is positive; between projects, choose the higher positive NPV (most value added in today's money).
These figures help a firm:
- decide whether a single project is worthwhile (accept/reject);
- rank and choose between competing projects when funds are limited;
- compare a project's return against alternatives (other projects, or simply interest from a bank);
- provide evidence for a business plan or to persuade lenders/investors.
But two cautions apply. First, the methods can point in different directions β for example, payback may favour the project that recovers cash fastest while ARR or NPV favours the more profitable one. The firm must then decide which result matters most for its circumstances. Second, every result rests on forecasts, so a precise-looking number can still be unreliable. Quantitative results are therefore a powerful input to the decision β not the whole decision.
- Each method gives a decision rule: shorter payback, higher ARR, positive/higher NPV.
- Results support accept/reject, ranking, comparison with alternatives, and persuading lenders.
- The methods can disagree β the firm must weigh which matters most.
- All results rest on forecasts, so a precise figure can still be unreliable.