Question

12-7.    Lucy Lane maintains a savings deposit with Monarch Credit Union. This past year Lucy received $10.75 in interest earnings from her savings account. Her savings deposit had the following average balance each month: (Show Steps to receive answer. )

January	$450		July	$450
February	350		August	425
March	300		September	550
April	550		October	600
May	225		November	625
June	400		December	500

What was the annual percentage yield (APY) earned on Lucy’s savings account?

Answer 1

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Answer:

Lucy account had an average balance this year of:

[$450 x 31 days + $350 x 28 days + $300 x 31 days + $550 x 30 days+ $225 x 31 days + $400 x 30 days + $450 x 31 days + $425 x 31 days +$550 x 30 days + $600 x 31 days + $625 x 30 days + $500 x 31 days]/ 365 days

= $452.0548

Then the APY is given by

=100*((1+10.75/452.0548)^(365/365)-1) = 2.378%