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effective interest rate

Wwei10y ago
Hi Sir, please help me to answer the question below. Investment P offers of 5% per year compounded half yearly for a period of 4 years Investment Q offers one interest payment of 18% at the end of its 4 year life. what is the annual e.i.r offered by each of the two investment?
John MoffatJohn MoffatTutor10y ago#1
P pays interest of 5%/2 = 2.5% every six months. Therefore the annual rate for P = 1.025^2 - 1 = 0.050625 or 5.0625% Q pays 18% over 4 years, therefore if the annual rate is R, then: (1+R)^4 = 1.18 R = 0.422 or 4.22% per annum
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