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Effective Interest rate

AARSHIA8y ago
Sir, i have a doubt in the question below. I am unable to solve the answer using the formular specially for Investment Y. An investor has a choice btwn two investments. Investment X offers an interest of 4% per year compounded semi-annually for a period of 3 years. Investment Y offers one interest payment of 20% at the end of its 4 year life. What is the annual effective interest rate offered by the two investments ?
John MoffatJohn MoffatTutor8y ago#1
For investment X: The interest rate is 2% every six months. Therefore the compounded annual interest rate is (1.02^2) - 1 = 0.0404 or 4.04% For investment Y: If the annual interest rate is R, then (1+R)^4 = 1.20. Therefore R = (fourth root of 1.20) - 1 = 0.0466 or 4.66%
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