A loan of $10,000 is to be repaid in equal annual installments over 5 years at an interest rate of 6% per ann - RTA

Understanding the Context

A $10,000 loan with a 6% annual interest rate repaid in 5 equal annual installments is a classic example of an amortizing loan. This means that each payment covers both the outstanding loan balance and the accumulated interest, with the ratio between principal and interest shifting slightly over time — putting more of your early payments toward interest and gradually more toward principal.

How the Repayment Principle Works

Below is a clear breakdown of how such a loan is structured:

Key Insights

• Loan Amount: $10,000
  
• Interest Rate: 6% per year (compounded annually)
  
• Loan Term: 5 years
  
• Payment Frequency: Annual installments

Due to the 6% interest, each annual payment will reflect both repayment of principal and accrued interest. The total repayment amount will be more than $10,000 due to interest.

To calculate the exact fixed annual payment, financial formulae or loan calculators apply the present value of an annuity formula. For a $10,000 loan at 6% over 5 years, the yearly installment is approximately $2,447.63.

Annual Payment Schedule (Approximate)

Final Thoughts

Here’s a simplified view of how the loan repayment progresses:

| Year | Beginning Balance | Interest (6%) | Principal Repayment | Ending Balance | Total Payment |
|-------|-------------------|---------------|----------------------|----------------|--------------|
| 1 | $10,000.00 | $600.00 | $1,847.63 | $8,152.37 | $2,447.63 |
| 2 | $8,152.37 | $489.34 | $1,958.29 | $6,194.08 | $2,447.63 |
| 3 | $6,194.08 | $117.65 | $2,330.00 | $4,864.08 | $2,447.63 |
| 4 | $4,864.08 | $291.85 | $2,155.78 | $2,708.30 | $2,447.63 |
| 5 | $2,708.30 | $162.49 | $2,285.14 | $0 | $2,447.63 |

> Note: Interest amounts decrease each year as the principal reduces. The schedule assumes simple annual compounding without extra charges.

Why Opt for Equal Annual Installments?

• Predictable Payments: Fixed monthly or annual payments ease budgeting.
  
• Prevention of Overborrowing: Structured repayment discourages larger loans than sustainable.
  
• Utilization of Compound Interest: Lenders profit slightly from the time value of money.
  
• Simplicity: No amortization tables or complex calculations are needed for basic comprehension.