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Time Value of Money (TVM) is one of the most foundational concepts in both QAFB and later CA stages. For CA Foundation, it appears in QAFB as numerical questions on Present Value, Future Value, and annuities. Mastering TVM at this stage also gives you a strong head start for the Business Finance papers in CAF.
The Core Concept
A rupee today is worth more than a rupee tomorrow. This is not just a financial principle — it reflects a simple reality: money available now can be invested to generate a return, making it more valuable than the same amount received in the future.
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Time Value of Money is the reason we discount future cash flows to their present value. A promise of Rs. 110,000 one year from now is only worth Rs. 100,000 today if the interest rate is 10%.
Future Value (FV)
Future Value answers: how much will my money be worth in the future if it earns interest?
FV = PV × (1 + r)ⁿ
PV: Present Value — the amount today
r: Interest rate per period (as a decimal)
n: Number of periods
Example
You invest Rs. 50,000 today at 8% per annum for 3 years. What is the future value?
FV = 50,000 × (1 + 0.08)³
FV = 50,000 × (1.08)³
FV = 50,000 × 1.2597
FV = Rs. 62,985
Simple interest vs compound interest: Simple interest = PV × r × n (no compounding). Compound interest uses FV = PV × (1+r)ⁿ. ICAP questions will specify which to use — never assume.
Present Value (PV)
Present Value answers: how much is a future amount worth in today's money?
PV = FV ÷ (1 + r)ⁿ
This is the process of discounting — reducing a future amount back to its value today at the given discount rate.
Example
You will receive Rs. 80,000 in 4 years. If the discount rate is 10%, what is its present value?
PV = 80,000 ÷ (1.10)⁴
PV = 80,000 ÷ 1.4641
PV = Rs. 54,641
Annuities
An annuity is a series of equal cash flows occurring at regular intervals. ICAP QAFB tests both ordinary annuities (payments at end of period) and annuities due (payments at start of period).
Present Value of an Ordinary Annuity
PV = PMT × [1 − (1 + r)⁻ⁿ] ÷ r
Example
You will receive Rs. 10,000 per year for 5 years. Discount rate is 6%. What is the PV of this annuity?
PV = 10,000 × [1 − (1.06)⁻⁵] ÷ 0.06
PV = 10,000 × [1 − 0.7473] ÷ 0.06
PV = 10,000 × 0.2527 ÷ 0.06
PV = 10,000 × 4.2124
PV = Rs. 42,124
Effective vs Nominal Interest Rates
When interest is compounded more frequently than annually, the effective annual rate (EAR) is higher than the nominal rate.
EAR = (1 + r/m)ᵐ − 1
r: Nominal annual rate
m: Number of compounding periods per year
Example
Nominal rate 12% compounded quarterly. What is the EAR?
EAR = (1 + 0.12/4)⁴ − 1 = (1.03)⁴ − 1 = 1.1255 − 1 = 12.55%
Exam Strategy for TVM Questions
- Identify what is given and what is being asked before writing any formula
- Convert the rate to a decimal before using in any formula
- Check whether the question says simple or compound interest
- For annuity questions, confirm whether payments are at start or end of period
- Always show your full working — ICAP awards method marks
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