Skip to contentSkip to search

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

QualificationExamRelationshipPeriod
ACCA AFM Supporting September 2026–June 2027
ACCA FM Direct September 2026–June 2027