Suppose you have a choice between investing in a savings account that pays an 8.6% APR, compounded monthly (Bank Monthly) and one that pays an 8.5% APR, compounded daily (Bank Daily). Using only effective annual rates, which bank would you prefer?

8.6% APR, compounded monthly

Explanation:

Effective annual rate = ( 1 + periodic interest rate)^m - 1

8.6% APR = (1.007167)^12 - 1 = 0.089472 = 8.95%

m = number of compounding = 12

periodic interest rate = 8.6% / 12 = 0.717%

8.5% APR = (1.000233)^365 - 1 = 0.088706 = 8.87%

m = number of compounding = 365

periodic interest rate = 8.5% / 365 = 0.02329%

I would prefer the 8.6% APR, compounded monthly because the effective annual rates are higher

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