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 20th payment is 0.59774L. Calculate L. Give your answer rounded to the nearest whole number (i.e. X).

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Amortized Loans

The term "amortization" refers to spreading the value of a loan or a debt over a series of regular payments or installments comprising of both the principal and interest amount. It generally involves the process where in the value of a loan or an intangible asset is written down over its maturity period.