Lesson 1,
Topic 2
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Compound Interest
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Topic Content:
- Compound Interest
Under compound interest, the interest is not paid to the lender, instead it is added to the principal at the end of time. Then the principal will increase at the end of each time which makes the successive interest higher.
A = \( \scriptsize P \left (1 + \normalsize \frac {R}{100} \right )^ n \)
- P is principal
- R is rate
- n is time
- A is amount
Compound interest = Amount – Principal
Example 4.2.1:
Find the compound interest on ₦2500 in 6 years at 2% per annum.
Solution
Principal = ₦2500.00
n = 6yrs
R = 2%
∴ A = \( \scriptsize P \left (1 + \normalsize \frac {R}{100} \right ) ^ n \)
= \( \scriptsize 2500 \left (1 + \normalsize \frac {2}{100} \right ) ^ 6 \)
= 2500 (1 + 0.02)6
= 2500 (1.02)6
= 2500 × 1.1262
= ₦2815.50k
Compound interest = ₦2815.50 – ₦2500
= ₦315.50k