Bank One offered 20-year certificate of deposit (CD) at 4.85% interest compounded quarterly. On the same day on the Internet, First Bank offered 20-year CD at 4.84% compounded monthly. Find the APY for each CD. Which bank paid a higher APY?

Which bank paid a higher APY?

First Bank pays a higher APY = 4.95%

Explanation:

the annual percentage yield is the effective annual rate earned by a deposit, so we can use that formula to answer this question

effective annual rate Bank One (APY) = (1 + 4.85%/4)⁴ - 1 = 1.04939 - 1 = 0.04939 = 4.94%

effective annual rate First Bank (APY) = (1 + 4.84%/12)¹² - 1 = 1.049488 - 1 = 0.049488 = 4.95%

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