Answer to Question #156754 in Financial Math for alv

Question #156754

Suppose that an account offers a nominal interest rate of 10 %,what is the effective interest rate? if the nominal interest rate is the same, but interest is payable monthly, weekly and daily?


1
Expert's answer
2021-01-21T14:07:44-0500

nominal interest, r=10%r=10\%

if compounding was monthly, m=12m=12

Effective interest rate =(1+r/m)m1=(1+0.1/12)121=0.1047=10.47%=(1+r/m)^{m}-1=(1+0.1/12)^{12}-1=0.1047= 10.47\%

if the compounding was weekly, m=52m=52

Effective interest rate =(1+r/m)m1=(1+0.1/52)521=0.1051=10.51%=(1+r/m)^{m}-1=(1+0.1/52)^{52}-1=0.1051=10.51\%

if the compounding was daily, m=365m=365

Effective interest rate =(1+r/m)m1=(1+0.1/365)3651=0.1052=10.52%=(1+r/m)^{m}-1=(1+0.1/365)^{365}-1=0.1052=10.52\%


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