Category | Loan Term |
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Monthly Payment | |

Loan Amount | |

Total Interest | |

Total Cost of Loan |

## How To Calculate Your Home Loan Repayments in Capetown

Calculating the repayment for a home mortgage requires understanding the principal amount, the interest rate, and the loan period. Here’s a guide using a hypothetical scenario:

**Scenario**:

Imagine you’ve taken out a R300,000 mortgage at an annual interest rate of 4%, to be repaid over 30 years.

**Step 1: Determine the Monthly Interest Rate**

Divide the annual interest rate by 12 to find the monthly rate. 4% annually becomes 0.04 (4 divided by 100 to convert percentage to decimal).

Now, 0.04 divided by 12 equals approximately 0.003333.

**Step 2: Figure Out the Total Number of Payments**

Multiply the number of years of your loan by 12 (the number of months in a year) to get the total number of payments.

For 30 years, 30 times 12 equals 360 payments.

**Step 3: Use the **Loan Repayment Formula The formula to calculate the monthly payment is: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Here, M is your monthly payment, P is the principal amount (R300,000), i is your monthly interest rate (0.003333), and n is the number of payments (360).

**Step 4: Plug the Numbers Into the Formula** Substitute the values into the formula to calculate your monthly payment.

M = R300,000 [ 0.003333(1 + 0.003333)^360 ] / [ (1 + 0.003333)^360 – 1]

**Step 5: Calculate**

This calculation can be complex without a calculator, so using a spreadsheet or an online mortgage calculator is highly recommended.

To continue manually, first deal with the exponent: (1 + 0.003333)^360

Next, multiply the result by 0.003333, then multiply by the principal (R300,000).

Finally, divide by the denominator: [ (1 + 0.003333)^360 – 1].

**Step 6: Monthly Payment Result**

After crunching the numbers, suppose you find the monthly payment to be approximately R1,432.

**Step 7: Understand the Amortization**

Early in the schedule, a large portion of each payment goes toward interest with a smaller portion reducing the principal.

With time, this balance shifts.

**Step 8: Calculate Total Repayment**

Multiply the monthly payment by the total number of payments for the entire cost of the loan.

R1,432 times 360 equals R515,520. This total includes both the principal and the interest.

**Step 9: Consider the Impact of Extra Payments**

Making additional payments toward the principal can save on interest and shorten the loan term.

Calculate the impact of extra payments using the same formula with adjusted principal and remaining period figures.

**Step 10: Keep Track Over Time**

Monitor your mortgage statement regularly to see the progress of your principal reduction and to confirm payments are applied correctly.

**Note**: Different loans might have other variables, such as fees or variable interest rates, that would affect repayment calculations.

Always review the specific terms of your mortgage agreement.