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.
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.
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.
| Repayment method | Payment 1 | Payment 12 | Total interest |
|---|---|---|---|
| Interest-only | 60,000 won | 12,060,000 won | 720,000 won |
| Equal principal | 1,060,000 won | 1,005,000 won | 390,000 won |
| Equal monthly payments | 1,032,797 won | 1,032,797 won | 393,564 won |
- Step 1: Monthly rate: 0.06 ÷ 12 = 0.005.
- Step 2: (1 + i)^n = 1.005^12 ≈ 1.0616778.
- Step 3: Monthly payment: 12,000,000 × 0.005 × 1.0616778 ÷ (1.0616778 − 1) ≈ 63,700.67 ÷ 0.0616778 ≈ 1,032,797 won.
- Step 4: Interest in payment 1: 12,000,000 × 0.005 = 60,000 won; principal: 1,032,797 − 60,000 = 972,797 won.
- 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.
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.
- Step 1: A's interest: 12,000,000 × 0.005 × 12 = 720,000 won. Total cost 720,000 won.
- Step 2: B's monthly interest: 12,000,000 × 0.055 ÷ 12 = 55,000 won; interest for the year 660,000 won.
- Step 3: B's total cost: 660,000 + 200,000 = 860,000 won.
- 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).
- 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.
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.
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
🔁 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
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Answer
Type whole numbers, decimals or fractions (e.g. 12, 0.75, 3/4, −2/3, 1 3/4). A fraction answer also counts as a decimal correct to three places. Your streak resets if you look at the solution first or get one wrong; only your best streak is saved, in this browser.
🤖 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.
- Loan Repayment CalculatorEnter the principal, rate, and term to compare the monthly payments, repayment schedules, and total interest of the three methods yourself.
- DSR CalculatorCompare a year's principal and interest payments on your loans with your income, and gauge how much heavier the burden gets if rates rise.
- Rent vs Deposit ComparisonCompare loan interest with monthly rent, including opportunity cost, to see how this lesson's interest calculations feed into a real choice.
- Percentage CalculatorQuickly double-check monthly rates, rate differences (percentage points), and total cost ratios.
- 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)
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Storage is unavailable in this browser, so this lasts only for this page.💰 Economics and Personal Finance Basics
- 1The Time Value of Money and Compound Interest: How Time Grows Money
- 2Interest, Inflation, and Real Returns: More Money vs. More Buying Power
- 3Budgets and Emergency Funds: Seeing Where Money Goes and Building a Cushion
- 4Loans and Credit: How You Repay Changes What You Pay
- 5Tax Basics: Earned Income and Investment Income
- 6How Insurance Works: The Math of Sharing Risk
- 7Stocks, Bonds, Funds, and ETFs: How They Differ
- 8Diversification and Risk: Why Risk and Return Travel Together
- 9Fraud and Hype: Filtering Them Out with Numbers
- 10Reading Economic News: Understanding Indicators and Checking AI Answers