Answer: None of the given choices match the calculated amount exactly, but the closest option is: $883.33
Step-by-step explanation:
To calculate the monthly payment amount for a loan, we can use the formula for calculating the monthly payment on a fixed-rate loan:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate) ^ (-Number of Months))
Given:
Loan Amount (Principal) = $50,000
Interest Rate = 6% per year
Term = 5 years
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate would be (6% / 12) = 0.005.
Next, we need to calculate the number of months in the loan term. Since the term is 5 years, there would be 5 * 12 = 60 months.
Now, we can substitute the values into the formula:
Monthly Payment = (50000 * 0.005) / (1 - (1 + 0.005) ^ (-60))
≈ $943.34
Therefore, the monthly payment amount for the loan would be approximately $943.34.