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Calculate the monthly installments for a loan of R 600 000 at 10% annual interest over 5 years, compounded monthly.

Mathematics

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To calculate the monthly installments for a loan, we use the present value annuity formula.

Step 1: Identify the given values.

  • Loan amount (Present Value, PVPV) = R 600 000
  • Annual interest rate (rr) = 10% = 0.10
  • Loan term (tt) = 5 years
  • Compounding frequency = monthly

Step 2: Calculate the monthly interest rate (ii) and the total number of payments (nn).
The annual interest rate is compounded monthly, so we divide it by 12 to get the monthly rate.

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