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The monthly payment for a $12,000 loan at 8% interest

Question

The monthly payment for a $12,000 loan at 8% interest

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Solution

To calculate the monthly payment for a $12,000 loan at 8% interest, you need to know the term of the loan. However, let's assume it's a 1-year term for simplicity.

  1. First, convert the annual interest rate to a monthly interest rate. 8% per year is equivalent to 0.08/12 = 0.00667 per month.

  2. Next, use the formula for the monthly payment on an installment loan, which is: P = [r*PV] / [1 - (1 + r)^-n], where P is the monthly payment, r is the monthly interest rate, PV is the present value or loan amount, and n is the number of payments.

  3. Substituting the given values into the formula, we get: P = [0.00667 * 12,000]/[1(1+0.00667)12]=12,000] / [1 - (1 + 0.00667)^-12] = 1,032.26

So, the monthly payment for a 12,000loanat812,000 loan at 8% interest for a 1-year term would be approximately 1,032.26. Please note that the term of the loan can significantly affect the monthly payment amount.

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