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A credit card issuer charges an APR of 19.66%, and its billing cycle is 30 days

long. What is its periodic interest rate?
O
A. 21.72%
OB. 1.62%
O C. 21.53%
O D. 1.22%
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1 Answer

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Answer:

The periodic interest rate is 1.62 %

Explanation:

Given:

Annual percentage rate = 19.66%

Time period = 30 days

To Find:

Periodic interest rate =?

Solution:

The periodic interest rate r is calculated using the following formula:

r = (1 + \frac{i}{m})^{\frac{m}{n}} - 1

Where,

i = nominal annual rate

n = number of payments per year i.e., 12 for monthly payment, 1 for yearly payment and so on.

m = number of compounding periods per year

The period interest rate per payment is integral to the calculation of annuity instruments including loans and investments.

Now substituting the values we get


r = (1 + (19.66)/(12))^{(12)/(12)} - 1


r = (1 + (19.66)/(12))^1 - 1

r = (1 +1.638 ) - 1

r = (2.638 ) - 1

r = 1.638 %

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