The difference in the effective annual rates charged by the two banks is approx 0.22.
ABC=[(1+0.0838/12)^12]-1
=[(1+0.00698333333)^12]-1
=[(1.00698333333)^12]-1
=1.08709-1
=8.709%(Approx)
DEF=[(1+0.0864/4)^4]-1
=[(1+0.0216)^4]-1
=[(1.0216)^4]-1
=1.08924-1
=8.924%(Approx)
Hence difference=8.924-8.709
=0.22(Approx)
The Annual Rate (EAR) is an interest rate compounded over a period of time. Simply put, APR is the interest rate an investor can earn (or pay) in his one-year period after compounding.
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