Calculate the extra compound interest received when R18 400,00 invested at 13,2% per annum for 11,5 years, interest paid annually, is invested at the same rate but with interest paid monthly.
interest paid annually:
FV1=18400(1+0.132)11.5=R 76568.78FV_1=18400(1+0.132)^{11.5}=R\ 76568.78FV1=18400(1+0.132)11.5=R 76568.78
interest paid monthly:
FV2=18400(1+0.132/12)11.5⋅12=R 83267.84FV_2=18400(1+0.132/12)^{11.5\cdot12}=R\ 83267.84FV2=18400(1+0.132/12)11.5⋅12=R 83267.84
extra compound interest:
FV2−FV1=83267.84−76568.78=R 6699.06FV_2-FV_1=83267.84-76568.78=R\ 6699.06FV2−FV1=83267.84−76568.78=R 6699.06
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