7 months
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monthly means that it continues one month at a time
Assuming the annual equivalent interest rate is 4.2%, it will take just over 81 months = 6 years + 9 months.
$492.25
763.89
The question can be answered only for the loan with zero interest. The loan is then 10,800 (18 x 600) that could also be paid by 1350 a month for 8 months 1080 a month for 10 months 900 a month for 12 months 720 a month for 15 months In the case the loan is not interest free the problem cannot be solved, since there are two unknown variables: a principal amount (an amount borrowed) and an annual interest rate and only one equation. For instance if you borrow 10,000 with 10% annual interest rate, the loan will be paid off in 18 monthly installments of 600, which corresponds to the question. For the same principal (10,000) and annual interest rate (10%) the loan would have been paid off in: 8 month installments of 1297; 10 month installments of 1046; 12 month installments of 879; 15 month installments of 712. But you can still have the loan with other pairs of principal and interest rate with 18 monthly installments of 600. There is a suitable Excel formula PMT too. Monthly installments can be calculated by formula: Monthly installment = Principal x {rate + (rate / [(1+rate)months - 1]} where rate = (annual rate / 12), i.e. 10% => 0,1/12