If you are making a Term Deposits, often called Certificate of Deposit (CD) at a bank, you can use this online tool to calculate the interest rate from a given interest amount and a compounding frequency.

Interest rate and other information calculated by FYIcenter.com:

Interest Rate: 19.3621%
Compounding frequency: Daily
Deposit term: 3 month(s) ~ 92 day(s), 0.25 year(s)
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Deposit date: 2026-10-02
Maurity date: 2027-01-02
Deposit amount: $1,000.00
Interest at maturity: $50.00
Value at maturity: $1,050.00

The following formulas are used in the above calculations:

$\mathrm{InterestRate}=\mathrm{YearBasis}\times ({({\displaystyle \frac{\mathrm{Interest}}{\mathrm{Deposit}}}+1)}^{{\displaystyle \frac{1}{\mathrm{days}}}}-1)\text{, if compounded daily.}$
$\mathrm{InterestRate}=N\times ({({\displaystyle \frac{\mathrm{Interest}}{\mathrm{Deposit}}}+1)}^{{\displaystyle \frac{1}{(N\times \mathrm{years})}}}-1)\text{, if compounded monthly, quarterly, ...}$
$\mathrm{InterestRate}={\displaystyle \frac{\mathrm{Interest}}{(\mathrm{Deposit}\times \mathrm{years})}}\text{, if not compounded.}$
$\mathrm{days}=\text{Deposit term in days}$
$\mathrm{years}=\text{Deposit term in years}$
$N=\text{\# of compounding periods in a year}$

References:

• "Compound Interest Calculator" by Edward Furey.

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