LO4 Time Value of Money
Application and calculation of compound interest, discounting, discounted cash flow, nominal return and real return.
How to prepare for R02
Match the annual edition to your exam date, learn product structures and risk relationships, then practise calculation, analysis and client-application decisions.
Core concepts
Concept 1
Compounding moves a present value forward using the return and number of periods, while discounting converts future cash flows back to a comparable present value.
Exam cue: Draw the cash-flow timeline and identify present value, future value, rate, frequency and number of periods.
Concept 2
The timing and frequency of cash flows and compounding affect results; the rate and period must use compatible units.
Exam cue: Decide whether the question asks to compound forward or discount back before selecting the formula.
Concept 3
Nominal return measures money growth, while real return adjusts purchasing power for inflation; precise compounding differs from simple subtraction.
Exam cue: Use the exact real-return relationship when accuracy matters and only approximate by subtraction when the question permits.
Risk pitfalls and guardrails
Using an annual rate with a monthly period count without conversion.
Guardrail: Do not mix asset and wrapper, nominal and real, price and yield, willingness and capacity, or benchmark return with investor experience.
Discounting when the question asks for accumulation or compounding in the wrong direction.
Guardrail: Do not mix asset and wrapper, nominal and real, price and yield, willingness and capacity, or benchmark return with investor experience.
Treating nominal return as purchasing-power growth.
Guardrail: Do not mix asset and wrapper, nominal and real, price and yield, willingness and capacity, or benchmark return with investor experience.
Memory anchors
Compound Forward
Future value grows present value by one plus the periodic rate raised to the number of periods.
Discount Back
Present value divides a future cash flow by the accumulation factor.
Match Units
Rate frequency and number of periods must use the same time unit.
DCF
Discount each relevant future cash flow to the valuation date before combining them.
Nominal
Nominal return measures the change in money value before inflation adjustment.
Real
Real return measures purchasing-power change after allowing for inflation.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
£1,000 grows at 10% a year for two years. What is the future value?
£1,210 is receivable in two years and the discount rate is 10%. What is present value?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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