Based on the payment you can afford, the interest rate, and the number of years, the loan you can afford is $6,774.15
First find the monthly interest rate:
= 4% /12
= 1/3%
Number of periods:
= 3 x 12
= 36 months
The loan you can afford can be found as:
= Payment x ( 1 - (1 + rate) ^ -number of periods) / rate
= 200 x (1 - (1 + 1/3%)⁻³⁶) / 1/3%
= $6,774.15
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