hey guys could anyone help me with b i the answer is $1572.21
View attachment 31718
The loan is repaid at the end of the year, already something is happening that is
![](https://latex.codecogs.com/png.latex?\bg_white 1293.46(1+1.05+1.05^{2}+1.05^{3}+1.05^{4}).)
Note that the first term
![](https://latex.codecogs.com/png.latex?\bg_white 1293.46(1))
is the final repayment and as such does not get compounded. However, the first investment can be calculated from
![](https://latex.codecogs.com/png.latex?\bg_white 1293.46(1.05^{4}) )
because you made that repayment 4 years ago. Calculate that to get the value of the first instalment.
ii and iii follow on that. iv is turning the loan amount into a compound interest rate - annual repayment in a sum of a geometric series. The compound interest rate comes from investing or depositing.
The way how a student would approach this question would be to think of the bank getting their superannuation which is something that is covered in the previous exercise at the end of the year after investing the loan to the client.