Question #271966

Refer to this information. Calculate the future value of a 4 year investment of R13270 at an interest rate of 6.09% per annum compounded quarterly. 

If the interest rate changes at the end of the second year from 6.09$ per annum compounded quarterly to 7.54% per annum compounded quarterly, the accumulated value of the original investment of R13270 at the end of 4 years will be.. 


1
Expert's answer
2021-12-01T18:37:01-0500

FV=PV(1+r/m)mtFV = PV(1 + r/m)^{mt}


1.

FV=13270(1+0.0609/4)44=R 16899.26FV = 13270(1 + 0.0609/4)^{4\cdot4}=R\ 16899.26


2.

at the end of the second year:

FV=13270(1+0.0609/4)24=R 14975.09FV = 13270(1 + 0.0609/4)^{2\cdot4}=R\ 14975.09

at the end of 4 years:

FV=14975.09(1+0.0754/4)24=R 17388.07FV = 14975.09(1 + 0.0754/4)^{2\cdot4}=R\ 17388.07


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