QUESTION

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A loan of $L$ is taken over ten years and will be repaid using the sinking fund method with equal size quarterly payments (i.e. end of quarter) each of size 387.57 at a nominal annual interest rate of $q \%$ compounded quarterly. The outstanding balance for this loan after the $20^{\text {th }}$ payment is $0.59774 \mathrm{~L}$. Calculate $L$. Give your answer rounded to the nearest whole number (i.e. $X$ ).

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