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The annual effective interest rate

TTran11y ago
Dear Sir . Can you tell me the way to answer this question there are two investment are available investment P offers interest of 5% per year compounded half yearly for the period of 4 years. investment Q offers one interest payment of 18% at the end of its 4 years life. what is the annual effective interest rate of two investment. Thank u so much.
John MoffatJohn MoffatTutor11y ago#1
P is interest of 5/2 = 2.5% every half year. So the annual effective rate is (1.025^2) - 1 For Q, if the annual effective rate is R, then after four years (1+R)^4 = 1.18 So R = (fourth root of 1.18) - 1
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