CV

CA Foundation · Quantitative Aptitude (Maths, LR, Stats)

Time Value of Money

Chapter 3 · 6 formulas · 4 exam-critical pointers

Core concepts

  1. 01₹1 today > ₹1 tomorrow — due to earning capacity, inflation, risk.
  2. 02Simple Interest: interest on principal only.
  3. 03Compound Interest: interest on principal + accumulated interest.
  4. 04Annuity: equal periodic payments — ordinary (end) or due (beginning).
  5. 05Effective rate accounts for compounding within the year.

Flowchart

Present Value <-- Discounting <-- Future Value | ^ v | Annuity FV/PV Compounded (n times/yr)

Exam-critical pointers

  • Annuity due = ordinary annuity × (1 + i).
  • Perpetuity PV = A / i (no time limit).
  • Doubling: by Rule of 72 → years ≈ 72/r (only for CI).
  • Use log tables when n is large in CI — ICAI calculators not allowed.

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