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Effective annual interest rate

SSherlocked3y ago
Hello Sir, Probably a basic query, but for some reason I'm getting a bit confused with the 'n' in the effective interest rate formula. r = 1+(i/n)n - 1 Could you please help me understand the difference between the two and what how do we take the i/n value? 1. 10% interest per year, interest calculated quarterly. 2. 1.2% interest per month. When we say that n is the number of compounding periods, how do we apply them in the cases above? Would really really appreciate your help! Thank you!
John MoffatJohn MoffatTutor3y ago#1
1. 10% per year means that they are adding on 10/4 = 2.5% every quarter. Since there are 4 quarters in a year, the effective yearly rate is 1.025^4 - 1 = 0.1038 or 10.38% per year. 2. Here we already know the period rate, it is 1.2% per month. Since there are 12 months in a year, the effective yearly rate is 1.012^12 - 1 = 0.1538 or 15.39% Have you watched my free lectures on this? The lectures are a complete free course for Paper MA and cover everything needed to be able to pass the exam well :-)
SSherlocked3y ago#2
Thank you so much sir! I understand now. Really appreciate your help.
John MoffatJohn MoffatTutor3y ago#3
You are welcome :-)
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