Compound Interest Rate Calculator

Solve for the annual rate (APR) needed to grow principal to ending value over a given term with chosen compounding.

Use the Compound Interest Rate Calculator

Enter principal, ending value, years, and compounding. The required annual rate (APR) is calculated.

Solve for rate

Principal, ending value, years, compounding. APR is solved.

Results

Required APR (%)
9.15%

FV = P (1 + r/n)^(n t). Solve for r. Shown as APR.

How this calculator works

From FV = P (1 + r/n)^(n t), we solve for r. The result is the nominal APR that produces the given growth.

How to interpret your results

Use the required APR to compare with offered rates or to set a target. Remember this is the rate needed for your scenario, not a forecast.

Common mistakes to avoid

Entering the wrong time period; mixing compounding frequencies; or assuming the rate is available in the market.

FAQs

What does this calculator do?
It solves for the annual interest rate (APR) that would grow your principal to the ending value over the given years with the chosen compounding.
Which inputs matter most?
Principal, ending value, and years. Compounding frequency affects the required APR slightly.
What assumptions does it make?
No contributions or withdrawals; constant rate; compounding at the selected frequency.
How accurate are the results?
The formula is exact for the inputs. Real accounts may have fees or variable rates.

Related tools

Compound Interest Rate Calculator

Solve for the annual rate (APR) needed to grow principal to ending value over a given term with chosen compounding.

Use the Compound Interest Rate Calculator

Enter principal, ending value, years, and compounding. The required annual rate (APR) is calculated.

Solve for rate

Principal, ending value, years, compounding. APR is solved.

Results

Required APR (%)
9.15%

FV = P (1 + r/n)^(n t). Solve for r. Shown as APR.

How this calculator works

From FV = P (1 + r/n)^(n t), we solve for r. The result is the nominal APR that produces the given growth.

How to interpret your results

Use the required APR to compare with offered rates or to set a target. Remember this is the rate needed for your scenario, not a forecast.

Common mistakes to avoid

Entering the wrong time period; mixing compounding frequencies; or assuming the rate is available in the market.

FAQs

What does this calculator do?
It solves for the annual interest rate (APR) that would grow your principal to the ending value over the given years with the chosen compounding.
Which inputs matter most?
Principal, ending value, and years. Compounding frequency affects the required APR slightly.
What assumptions does it make?
No contributions or withdrawals; constant rate; compounding at the selected frequency.
How accurate are the results?
The formula is exact for the inputs. Real accounts may have fees or variable rates.

Related tools