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A department store has offered you a credit card that charges interest at 1.65% per month compounded monthly. (a) (a) What is the nominal interest (annual percentage) rate for this credit card? (b) (b) What is the effective annual interest rate?

Answer :

Answer:

a) r = 1.65% *12 = 19.8%

b) [tex] r = (1+i)^{12} -1[/tex]

And i= 0.0165 and replacing we got:

[tex] r = (1+0.0165)^{12} - 1 =0.21699[/tex]

And if we convert this into % we got: 21.699%

Explanation:

Nominal interest rate represent the interest rate before taking account the inflation

The effective annual interest rate represent the real return from an investment

Part a

For this case the nominal interest is given by:

r = 1.65% *12 = 19.8%

Part b

We can use this formula:

[tex] r = (1+i)^{12} -1[/tex]

And i= 0.0165 and replacing we got:

[tex] r = (1+0.0165)^{12} - 1 =0.21699[/tex]

And if we convert this into % we got: 21.699%

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