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General

Equivalent rates and compound interest

Convert annual, monthly and daily compound rates and calculate income by holding days.

Equivalent rates & compound interest

12% per year is approximately 0.948879% per month, not 1%. A monthly rate of 1% equals 12.682503% per year.

Equivalent rate0.948879%

Equivalent per day: 0.031054%

Return by holding days

Gross income: R$9.36

Compound conversion: (1 + rate)^(target/source term) − 1. Not a linear division. Liquidity is contractual; conversion does not promise daily withdrawals or include tax.

How to convert compound interest rates

Convert effective rates between days, months, quarters, half-years and years. Choose 365 calendar days or 252 business days.

Step by step

  1. Enter the effective rate and source period.
  2. Choose target period and day basis.
  3. Enter principal and holding days to estimate gross income.

Calculation method

Equivalent rate = (1 + source rate) raised to the target/source term ratio, minus one. A month is 1/12 of a year.

Assumptions and limitations

Do not divide an annual rate by 12. Returns are gross, excluding tax; daily liquidity depends on the contract.

Common questions

Does 12% annually equal 1% monthly?

No. 12% annually equals about 0.948879% monthly. 1% monthly equals 12.682503% annually.

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Equivalent rates and compound interest - Ferrum Nexus