[Solved] Calculate the effective annual rate of compound interest equ (2024)

Given:

R = 18% p.a.

P = Rs. 10000

N = 1 / 2 year

Formula used:

Effective rate = R + R + (R2/ 100)

A = P × {1 + (R / 100)}N

Where P = Principal amount, R = Rate of interest in %, N = Number of years

Calculation:

Here, Rate of interest compounded half yearly = (18/2)%

⇒ Effective annual rate = 9 + 9 + (81/100)

⇒ Effective annual rate = 18.81%

A = 10,000 × {1 + (18.81 / 100)}

⇒ A = 10,000 + 1881

⇒ A = 11881

∴ Required answer is 18.81% and Rs. 11,881

[Solved] Calculate the effective annual rate of compound interest equ (2024)
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