Mathematics

Compound Interest Half Yearly

Calculate compound interest when compounded half-yearly.

A = P(1 + R/200)^{2T}

Formula Explanation

Rate is halved and time is doubled because interest is added twice a year.

Variables Explained

P = Principal; R = Annual rate; T = Years.

Solved Example

Find amount on ₹8000 at 10% for 1 year compounded half-yearly.
A = 8000(1 + 10/200)² = 8000 × (1.05)² = ₹8820.

Exam Tip

Always convert annual rate and time correctly.