A Savings Account Earns 7.2 APR Interest Calculated Monthly
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Reviewed by Calculator Editorial Team
When you deposit money into a savings account with a 7.2% Annual Percentage Rate (APR) that's compounded monthly, your interest is calculated on a monthly basis. This means your balance grows each month by the monthly interest rate, which is derived from the APR. Understanding how this works can help you make informed decisions about your savings.
How Monthly Interest Calculations Work
Monthly interest calculations are based on the monthly interest rate, which is the APR divided by 12. For a 7.2% APR, the monthly interest rate is 0.6% (7.2% ÷ 12). Each month, the interest is calculated on the current balance, which includes any previously earned interest.
This is different from simple interest, where interest is calculated only on the original principal amount. With compound interest, your money works harder over time because you earn interest on both the original deposit and the accumulated interest.
Key Concepts
APR (Annual Percentage Rate) is the annual interest rate. Monthly interest rate is APR divided by 12. Compound interest means interest is earned on both the principal and previously earned interest.
The Formula for Monthly Interest
The future value of your savings account can be calculated using the compound interest formula:
Compound Interest Formula
Future Value = P × (1 + r/n)^(n×t)
Where:
- P = Principal amount (initial deposit)
- r = Annual interest rate (APR)
- n = Number of times interest is compounded per year (12 for monthly)
- t = Time the money is invested for, in years
For monthly interest calculations, the monthly interest rate (r/n) is 7.2% ÷ 12 = 0.6%. The formula becomes:
Monthly Interest Calculation
Future Value = P × (1 + 0.006)^(12×t)
This formula shows how your initial deposit grows over time with monthly compounding.
Worked Example
Let's calculate how much $1,000 will grow to in 5 years with a 7.2% APR compounded monthly.
Example Calculation
Future Value = $1,000 × (1 + 0.006)^(12×5)
= $1,000 × (1.006)^60
= $1,000 × 1.415
= $1,415.00
After 5 years, your $1,000 deposit will grow to approximately $1,415. The total interest earned will be $415.
| Year | Balance | Interest Earned |
|---|---|---|
| 1 | $1,072.24 | $72.24 |
| 2 | $1,147.12 | $74.88 |
| 3 | $1,224.72 | $77.60 |
| 4 | $1,305.12 | $80.40 |
| 5 | $1,388.40 | $83.28 |
This table shows the year-by-year growth of your savings account. Notice how the interest earned each year increases as your balance grows.
Comparison of Different Deposit Amounts
Let's compare how different initial deposits grow over 5 years with a 7.2% APR compounded monthly.
| Initial Deposit | After 1 Year | After 5 Years | Total Interest |
|---|---|---|---|
| $500 | $531.12 | $707.50 | $207.50 |
| $1,000 | $1,072.24 | $1,415.00 | $415.00 |
| $2,500 | $2,680.60 | $3,537.50 | $1,037.50 |
| $5,000 | $5,361.20 | $7,075.00 | $2,075.00 |
This comparison shows how even small differences in initial deposits can lead to significantly different results over time. The power of compound interest becomes more apparent with larger deposits.
Frequently Asked Questions
Monthly interest is calculated on the current balance each month, while annual interest is calculated once per year on the original principal. Monthly compounding means your money grows faster over time because interest is earned on both the principal and previously earned interest.
APR (Annual Percentage Rate) is the simple annual interest rate, while APY (Annual Percentage Yield) includes the effect of compounding. For a 7.2% APR compounded monthly, the APY would be slightly higher because of the compounding effect.
More frequent compounding (like monthly) leads to higher interest earnings over time compared to less frequent compounding (like annually). This is because your money earns interest on previously earned interest more often.
Yes, you can withdraw money, but frequent withdrawals may reduce the overall interest earned. It's generally better to leave money in the account for longer periods to take advantage of compounding.