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💰 Economics and Personal Finance Basics · Lesson 4 / 10

Loans and Credit: How You Repay Changes What You Pay

The cost of a loan is set not only by the interest rate but also by the repayment method, fees, and the risk of rate changes. Under the same terms, the faster you repay the principal, the less total interest you pay, and comparisons should use the total cost including fees.

⏱ About 18 min ✍️ 5 practice questions 🔁 Unlimited drills Updated 2026-10-09
🎯 By the end of this lesson you can
  • Convert an annual interest rate into a monthly rate and calculate the monthly payment under three repayment methods
  • Explain why total interest differs by repayment method on the same loan
  • Compare loans by total cost, combining interest and fees
  • Explain the difference between fixed and variable rates and the general principles of credit scores

1.The Three Elements of a Loan: Principal, Rate, and Term

A loan is a contract in which you pay interest in return for using money now. It is the time value of money from Lesson 1 seen from the borrower's side. The basic elements that set a loan's cost are the principal (the amount borrowed), the annual interest rate, and the repayment period. Add when and how much of the principal you repay, that is, the repayment method, and you get the interest you actually pay.

Loan rates are usually stated as annual rates, but you repay monthly. This lesson and the site's loan calculator compute the monthly rate as the annual rate ÷ 12, and each month's interest is the principal remaining at the start of that month multiplied by the monthly rate. Real lenders' calculations can differ slightly, for example by counting days, so confirm exact amounts with your contract and repayment schedule. Results are rounded to the nearest won.

Monthly rate i = annual rate ÷ 12
This month's interest = remaining principal × i

2.Three Repayment Methods

With interest-only repayment (principal repaid at the end), you pay just the interest during the term and repay the whole principal in the final month. The principal never shrinks, so the interest is the same every month, and total interest is the largest of the three. With equal principal repayments, you divide the principal equally over the term, repay that portion each month, and add that month's interest. The principal shrinks quickly, so the interest falls every month: the first payment is the largest and payments get smaller over time.

With equal monthly payments (principal and interest), you pay the same combined amount of principal and interest every month. Early on, interest makes up a large share of each payment, and the principal's share grows over time. The fixed amount makes budgeting (Lesson 3) easy, but the principal shrinks more slowly than with equal principal repayments, so total interest is a little higher.

Interest-only: monthly interest = principal × i, principal repaid in the final month
Equal principal: payment k = principal ÷ n + remaining principal × i; total interest = principal × i × (n + 1) ÷ 2
Equal monthly payments: monthly payment = principal × i × (1 + i)^n ÷ ((1 + i)^n − 1) (n: number of months)

3.Comparing Them on One Hypothetical Loan

As an example, assume you borrow 12,000,000 won at 6% a year for 12 months, and let's calculate all three methods. The monthly rate is 6% ÷ 12 = 0.5%. All amounts are rounded to the nearest won, and the total interest for equal monthly payments is the rounded monthly payment × 12 minus the principal (before rounding it is about 393,566 won, and real repayment schedules settle the leftover rounding difference in the final payment, so it can differ by a few won).

With the same principal and rate, total interest still ranges from 390,000 won to 720,000 won. The difference comes from how quickly the principal shrinks. But the method with the least total interest is not better for everyone. Equal principal repayments are heavy at the start, and interest-only requires a large sum in the final month. Look at what you can afford each month and at your cash flow together.

Hypothetical example: 12,000,000 won, 6% a year, 12 months (monthly rate 0.5%, rounded to the nearest won)
Repayment methodPayment 1Payment 12Total interest
Interest-only60,000 won12,060,000 won720,000 won
Equal principal1,060,000 won1,005,000 won390,000 won
Equal monthly payments1,032,797 won1,032,797 won393,564 won
ExampleIf the hypothetical loan above (12,000,000 won, 6% a year, 12 months) is repaid with equal monthly payments, what is the monthly payment, and how much of the first payment is interest and how much is principal? (Round to the nearest won.)
  1. Step 1: Monthly rate: 0.06 ÷ 12 = 0.005.
  2. Step 2: (1 + i)^n = 1.005^12 ≈ 1.0616778.
  3. Step 3: Monthly payment: 12,000,000 × 0.005 × 1.0616778 ÷ (1.0616778 − 1) ≈ 63,700.67 ÷ 0.0616778 ≈ 1,032,797 won.
  4. Step 4: Interest in payment 1: 12,000,000 × 0.005 = 60,000 won; principal: 1,032,797 − 60,000 = 972,797 won.
  5. Check: Interest in payment 2 falls to the remaining principal 11,027,203 × 0.005 ≈ 55,136 won, and within the same payment the principal portion rises to 977,661 won.
Answer1,032,797 won a month; payment 1 is 60,000 won interest + 972,797 won principal

4.Look at the Total Cost, Not Just the Rate

If you compare loans only by the stated annual rate, you can miss the real cost, because there may be costs beyond interest: an arrangement fee when you take out the loan, a guarantee fee, or an early repayment fee if you pay it off early. The principle is simple: for the same principal and term, compare the total cost of interest plus all fees. If the lender provides a cost measure that already includes fees, check that too.

If you might repay the principal earlier than planned, the early repayment fee terms matter especially. Fee rules differ by product, so confirm the terms in writing before signing.

ExampleAs an example, there are two hypothetical loans of 12,000,000 won for 1 year, interest-only. Assume A charges 6% a year with no fees, and B charges 5.5% a year with an upfront fee of 200,000 won. Which has the lower total cost?
  1. Step 1: A's interest: 12,000,000 × 0.005 × 12 = 720,000 won. Total cost 720,000 won.
  2. Step 2: B's monthly interest: 12,000,000 × 0.055 ÷ 12 = 55,000 won; interest for the year 660,000 won.
  3. Step 3: B's total cost: 660,000 + 200,000 = 860,000 won.
  4. Step 4: Total cost for the year relative to principal: A is 6%; B is 860,000 ÷ 12,000,000 ≈ 7.17% (a simple comparison).
  5. Check: The difference in total cost is 860,000 − 720,000 = 140,000 won; B's rate is 0.5 percentage points lower, but it costs more.
AnswerA costs 140,000 won less

5.Fixed vs. Variable Rates

With a fixed rate, the rate does not change for the agreed period; with a variable rate, the rate is reset at regular intervals based on a benchmark market rate. A fixed rate has the advantage that you know your payments in advance; with a variable rate, the burden falls if market rates drop but rises if they go up. Which is better depends on future rates, and nobody knows future rates for certain.

So when considering a variable rate, first calculate "could I handle it if rates went up?" As an example, assume you borrowed 100,000,000 won interest-only and the rate rises 1 percentage point, from 4% to 5% a year: monthly interest goes from 100,000,000 × 0.04 ÷ 12 ≈ 333,333 won to 100,000,000 × 0.05 ÷ 12 ≈ 416,667 won, an increase of about 83,333 won (rounded to the nearest won). Checking in advance whether that amount fits in your budget is risk management.

One measure of the repayment burden relative to income is the DSR (debt service ratio): all principal and interest you repay on every loan in a year, divided by your annual income. The higher it is, the less room you have to cope if your income falls or rates rise.

6.The General Principles of Credit Scores

A credit score is what lenders use to gauge how likely you are to repay as promised. In Korea, personal credit rating companies assign scores from 1 to 1,000. The score can affect whether you can borrow and at what rate. The detailed methods and the weight of each factor differ by rating company, but the broad principles of what they look at are similar.

  • Late payment history: whether you paid on the promised date is the most basic factor; use automatic payments so you never miss a due date
  • Debt level: how much debt you have relative to your income and credit limits
  • Length of credit history: whether a long record of reliable borrowing has built up
  • Types of credit: what kinds of loans and cards you use and how you use them
  • Treat any offer to "raise your score instantly" in exchange for money or personal information as a likely scam (Lesson 9)

📌 Key points

  • Monthly rate = annual rate ÷ 12; this month's interest = remaining principal × monthly rate
  • Interest-only pays just interest and the principal at the end; equal principal repays the same principal each month; equal monthly payments keep the payment the same
  • Under the same terms, the faster the principal shrinks, the less total interest: equal principal < equal monthly payments < interest-only
  • Compare loans by total cost, interest plus fees, and check the early repayment terms too
  • With a variable rate, calculate your payment if rates rise in advance; for credit scores, a record of paying on time is the foundation

✍️ Practice questions

Answer first, then open "Answer and explanation".

Q1. With the same principal, rate, and term, which repayment method has the least total interest?

⭕ Correct

❌ Not quite — see the explanation

Answer and explanation
Answer ② Equal principal repayments

With equal principal repayments the principal shrinks fastest, so monthly interest gets smaller and total interest is the lowest. In this lesson's hypothetical example, equal principal was 390,000 won, equal monthly payments 393,564 won, and interest-only 720,000 won.

Q2. As an example, assume you borrow 6,000,000 won at 4.8% a year, interest-only. How much interest do you pay each month?

Answer and explanation
Answer 24,000 won

The monthly rate is 0.048 ÷ 12 = 0.004, and monthly interest is 6,000,000 × 0.004 = 24,000 won. Check: 24,000 × 12 = 288,000 won = 6,000,000 × 0.048.

Q3. As an example, assume you repay 6,000,000 won at 6% a year over 6 months with equal principal repayments. What is the total interest?

Answer and explanation
Answer 105,000 won

The monthly rate is 0.005, and total interest = 6,000,000 × 0.005 × (6 + 1) ÷ 2 = 105,000 won. Check: monthly interest 30,000 + 25,000 + 20,000 + 15,000 + 10,000 + 5,000 = 105,000 won.

Q4. Which statement about a variable-rate loan is correct?

⭕ Correct

❌ Not quite — see the explanation

Answer and explanation
Answer ② The rate is reset based on market rates, so payments can rise when rates go up

A variable rate changes periodically with a benchmark rate. Since future rates are unknown, you cannot say either type is always cheaper, so calculate the burden if rates rise in advance.

Q5. Which best describes the general principles of credit scores?

⭕ Correct

❌ Not quite — see the explanation

Answer and explanation
Answer ① They look at late payment history, debt level, length of credit history, types of credit, and so on

Credit scores combine your repayment record, debt level, and the length and types of your credit history, and they change over time. Treat any offer to raise your score for a fee as a likely scam.

🔁 Unlimited practice

Problems are generated endlessly. Type your answer and press "Check" to have it graded right away, or press "Show solution" to see a step-by-step solution in the same order as the lesson. You can choose the difficulty, and your streak of correct answers is counted. All interest rates, inflation rates, and tax rates in the problems are hypothetical values for calculation practice.

  • Monthly interest on an interest-only loan
  • First month's payment with equal principal repayments
  • Medium and up: total interest with equal principal repayments, monthly payment with equal monthly payments
  • Hard: payment k with equal principal repayments, equal monthly payments over a long term

These drills are generated in your browser with JavaScript, which is not running right now. Use the examples and practice questions above, then reopen this page with JavaScript turned on.

🤖 Try asking AI like this

Copy a prompt and replace the [ ] parts with your own situation. Don't take the answer on trust — check it against this lesson.

When you want to check a loan repayment schedule

Make repayment schedules for a loan of [amount] at [ ]% a year for [months] months, repaid with equal monthly payments (principal and interest), equal principal repayments, and interest-only (principal repaid at the end). Use the annual rate ÷ 12 as the monthly rate and state your rounding rule. Show the first 3 payments, the last payment, and the total interest for each method in a table, and I'll check them against the formulas.

When comparing two loan offers

Compare two loan offers by total cost. A: [rate, fees, term, repayment method]; B: [ ]. Show the calculations with interest and fees separated, and list items I should check further in the contract, such as early repayment fees. Do not recommend any specific lender or product.

When you want to prepare for rising rates

For an equal-monthly-payment loan with [amount] of principal remaining, [months] months left, and a current rate of [ ]%, show me with the calculations what the monthly payment becomes if the rate rises 1 percentage point and 2 percentage points. Don't predict future rates; just do the calculations.

🧰 Related tools

Tools for trying this lesson's calculations with your own numbers. Results follow from the assumptions you enter; they are not investment advice.

References
  • General content on loan repayment methods (equal monthly payments, equal principal, interest-only) and interest calculation covered in financial education materials
  • General content on loans and credit management from Financial Supervisory Service consumer guidance (as of 2026)

Reached every goal above? Mark the lesson complete.

💰 Economics and Personal Finance Basics

  1. 1The Time Value of Money and Compound Interest: How Time Grows Money
  2. 2Interest, Inflation, and Real Returns: More Money vs. More Buying Power
  3. 3Budgets and Emergency Funds: Seeing Where Money Goes and Building a Cushion
  4. 4Loans and Credit: How You Repay Changes What You Pay
  5. 5Tax Basics: Earned Income and Investment Income
  6. 6How Insurance Works: The Math of Sharing Risk
  7. 7Stocks, Bonds, Funds, and ETFs: How They Differ
  8. 8Diversification and Risk: Why Risk and Return Travel Together
  9. 9Fraud and Hype: Filtering Them Out with Numbers
  10. 10Reading Economic News: Understanding Indicators and Checking AI Answers
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