Discounting
For a single future cash flow, present value equals the future amount divided by (1 + r) raised to the number of periods, where r is the discount rate per period. The discount factor is 1/(1 + r)^n. Later receipts have lower present value when the discount rate is positive. The rate's time unit must match the cash-flow periods. Project analysis commonly assumes year-end cash flows unless timing information says otherwise. Discounting reverses compounding; it is not a deduction of the same percentage from the future amount for every year.
Worked example
$12,100 receivable in two years has present value $12,100/1.10² = $10,000 at 10% a year. The two-year discount factor is approximately 0.826446. Receiving $10,000 now and investing at 10% for two years produces the same $12,100.
Common mistake
Calculating present value as future cash less two lots of 10%, which does not reverse compound growth.
Where it appears in your exams
| Qualification | Exam | Relationship | Period |
|---|---|---|---|
| ACCA | AFM | Supporting | September 2026–June 2027 |
| ACCA | FM | Direct | September 2026–June 2027 |
