Converting to a tri-monthly interest rate

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SUMMARY

The correct method to convert an annual percentage rate (APR) of 3% to a tri-monthly interest rate is to use the formula (0.03 + 1)^(4/12) - 1. This formula derives from the future value calculation for investments, where A represents the future value, P is the principal amount, r is the annual nominal interest rate expressed as a decimal, n is the number of compounding periods per year, and t is the time in years. In this scenario, r equals 0.03 and n equals 4, confirming the approach is accurate.

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linapril
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If the APR is 3%, and I want to find the tri-monthly interest rate, is the correct way to find it:

(0.03+1)^(4/12)-1
?
 
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Taken from Wikipedia:

The formula for calculating the future value of an investment having an annual nominal interest rate is:

$\displaystyle A=P\left(1+\frac{r}{n} \right)^{nt}$

where:
  • A = future value
  • P = principal amount (initial investment)
  • r = annual nominal interest rate (as a decimal, not in percentage)
  • n = number of times the interest is compounded per year
  • t = number of years

In your case r = 0.03 and n = 4.
 

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