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Term 3 · Week 1 · Compound Interest

Standard problem

Standard

₱50,000 is invested at 8% compounded quarterly for 3 years. Find the maturity value.

Show step-by-step solution

Answer: 63412.09 ₱

  1. Periodic rate i=0.08÷4=0.02i = 0.08 \div 4 = 0.02; number of periods n=3×4=12n = 3 \times 4 = 12.
  2. F=50,000×1.0212≈50,000×1.268242=63,412.09F = 50{,}000 \times 1.02^{12} \approx 50{,}000 \times 1.268242 = 63{,}412.09.

Common errors to watch for

  • Using 1.0831.08^3 (annual compounding) gives ₱62,985.60.

Budget of Work competencies

  • gm11.t3.w1.c1
    Solve problems involving compound interest, including maturity value, future value, nominal rates, and number of terms.

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