squishycat
squishycat squishycat
  • 21-07-2017
  • Mathematics
contestada

If the APR of a savings account is 3.6% and interest is compounded monthly, what is the approximate APY of the account?

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MarsKing
MarsKing MarsKing
  • 21-07-2017
The Answer is ''3.66%''
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slicergiza slicergiza
  • 04-11-2019

Answer:

3.66% ( approx )

Step-by-step explanation:

Since, the formula of annual percentage yield is,

[tex]APY = (1+\frac{r}{n})^n-1[/tex]

Where,

r = stated annual interest rate,

n = number of compounding periods,

Here, r = 3.6% = 0.036,

n = 12 ( ∵ 1 year = 12 months )

Hence, the annual percentage yield is,

[tex]APY=(1+\frac{0.036}{12})^{12}-1=1.03659 - 1 = 0.036599\approx 0.0366 = 3.66\%[/tex]

Answer Link

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