which gives more interest when compounded, annually, semi annually or quarterly.

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

The compound interest formula is `A=P(1+r/n)^(nt)` where A is the amount at time t (measured in years for money problems), P is the amount at t=0, r is the rate of growth (interest rate when dealing with money), and n is the number of times compounded per year.

The more often you compound, the higher the rate of return. So in order from lowest to highest return you have annually, semi-annually (every 6 months), and quarterly (every 4 months); this assumes that you start with the same principal P and the same interest rate r, and the same number of years.

If any of the variables differ, it is more difficult to make a blanket statement. For example, is it better to deposit where you get 3% annually, or 2.5% monthly? In general it is better to compound more often, but here a \$1000 deposit earns 30\$ at 3% for 1 year, while it earns \$25.29 at 2.5% compounded monthly.

Sources:

etotheeyepi | Student, Undergraduate | (Level 1) Valedictorian

Posted on

One hundred dollars compounded annually returns \$6.00.

Compounded semiannually it returns \$6.09.

Compounded quarterly it returns \$6.13 or possibly as much as \$6.14 depending on how the bank rounds the numbers.