Home Loan EMI Calculator
From loan amount, annual rate and term, compute the fixed monthly EMI, total payment and total interest of a home loan — to assess long-term affordability before buying.
Input Data
Results
At a glance:A home loan EMI is the fixed monthly amount paid under the equal-monthly-instalment (equated monthly instalment) method on a property-secured loan. EMI = loan × r × (1+r)ⁿ ÷ ((1+r)ⁿ − 1), r = monthly rate (annual ÷ 12), n = months (term × 12). The payment is fixed, but the interest/principal split shifts monthly: early, most of the payment is interest; as principal falls, principal repayment rises. Home loans are large and long, so total interest is huge — assess both monthly burden and total interest before buying.
Formula
Monthly rate = annual rate ÷ 12; months = term × 12.
EMI = loan × r × (1+r)ⁿ ÷ ((1+r)ⁿ − 1).
Total payment = EMI × months; total interest = total − loan.
$$EMI = P \times \dfrac{r(1+r)^{n}}{(1+r)^{n} - 1}, \quad r = \dfrac{\text{annualRate}}{12}, \quad n = \text{years} \times 12$$$$\text{TotalInterest} = EMI \times n - P$$How to Use
- Enter the loan amount.
- Enter the annual rate and term.
- View the EMI, total payment and total interest.
Loan HK$2,000,000: EMI and total interest by term and rate
| Term | 4% | 6% | 8% |
|---|---|---|---|
| 20y | HK$12,120/mo / HK$908,706 | HK$14,329/mo / HK$1,438,869 | HK$16,729/mo / HK$2,014,912 |
| 25y | HK$10,557/mo / HK$1,167,021 | HK$12,886/mo / HK$1,865,808 | HK$15,436/mo / HK$2,630,897 |
| 30y | HK$9,548/mo / HK$1,437,390 | HK$11,991/mo / HK$2,316,764 | HK$14,675/mo / HK$3,283,105 |
At 2M, amortising. Rate and term hugely affect total interest — at 8% over 30y, interest (~HK$3.28M) is 1.6× the principal. HK mortgages float; actual payments move with HIBOR/Prime.
Case Studies
20y vs 30y: HK$2,054 less monthly, HK$1.27M more interest
At 2M, 8%: 20y EMI ≈ 16,729, interest ≈ 2.015M; 30y EMI ≈ 14,675, interest ≈ 3.283M.
Lengthening 20→30y cuts the monthly by ~2,054 (easier cash flow) but adds ~1.268M interest over the life. Longer term = lower monthly but higher total; shorten within affordability to save large interest.
Rate 4% → 8%: same 20y, interest up over HK$1.1M
HK mortgages float. At 2M, 20y: 4% → EMI ≈ 12,120, interest ≈ 0.909M; 8% → EMI ≈ 16,729, interest ≈ 2.015M.
Rate near-doubling lifts total interest by over 1.1M. So always stress-test at a higher rate and keep a buffer against payment shock.
FAQ
How is the monthly payment computed; why is it mostly interest early?
The EMI uses the amortising annuity formula: EMI = loan × r × (1+r)ⁿ ÷ ((1+r)ⁿ − 1), r = annual ÷ 12, n = term × 12. At 2,000,000, 8%, 20y (240 months) EMI ≈ 16,729. Though the total is fixed, it splits into interest and principal each month, and the split shifts. Interest is charged on the remaining balance, so early on the balance is largest and interest is highest; after the fixed payment covers most interest, little goes to principal. As principal falls monthly, interest shrinks and more of the payment repays principal. Early payments may be ~80–90% interest; late payments flip to mostly principal. That 'interest first, principal later' structure means principal barely drops in the first years — why early (especially initial-period) extra repayment saves large interest, because reducing principal sooner cuts all later interest on it. This tool gives the fixed EMI, total and interest to map the full cost.
Why does 2M borrowed incur over 2M interest; how much do rate and term matter?
The most striking yet overlooked fact. At 2,000,000, 8%, 20y: EMI ≈ 16,729, total = 16,729 × 240 ≈ 4,014,912, interest ≈ 2,014,912 — more interest than principal! Because the loan is large and long, and interest accrues monthly on the remaining balance, 240 months pile up huge interest. Two factors drive total interest enormously. First, the rate: higher rate spikes interest non-linearly. Same 2M over 20y, 4% → ~909k interest, 8% → ~2M — a million-plus gap; that is why a rising-rate cycle hits borrowers hard. Second, the term: lengthening lowers the monthly payment but raises total interest, because you hold the principal longer. So do not look only at 'what I can afford monthly' but at 'how much total interest over the loan's life'. Within affordability, a shorter term, a lower rate, and extra repayment when possible all save interest. Use this tool to feel their impact by moving the rate or term.
How much can Hong Kong buyers borrow; stress test still needed?
Per the HKMA's 28 Feb 2024 measures, owner-occupied homes at or below HK$30M can get up to 70% LTV (30% down); higher LTV needs the Mortgage Insurance Programme (MIP). From the same date the HKMA 'paused' the assumed +2pp (200bp) rate-rise stress test, and approval is mainly by the debt-servicing ratio (DTI) cap — generally 50% for owner-occupied, 40% if there is another mortgage or guarantee. But floating-rate payments still move with market rates, so stress-test at a higher rate yourself. Refer to the HKMA's latest.
Floating or fixed rate in Hong Kong; H-Plan vs P-Plan?
Most HK mortgages are floating, mainly two types: H-Plan linked to HIBOR, usually with a cap (Prime minus spread as the ceiling), moving with interbank rates; P-Plan linked to the bank's best lending rate (Prime, P), usually P minus some points. Both float with the market, so actual payments change. This tool uses a fixed rate to estimate payment at one level — use your effective or H-Plan cap rate, and keep a buffer in a rising cycle.
What to watch using this tool vs a real mortgage?
This tool uses the amortising formula, matching HK mortgage maths, to estimate EMI, total and interest and compare scenarios — but real applications differ in several ways. (1) It computes only the pure EMI; real approvals also involve the down payment and LTV (loan-to-value cap by price and property type), the DTI cap and HKMA rules — how much and whether you are approved is decided by these, not by borrowing what you like. (2) Mortgage insurance: high-LTV loans usually add insurance cost. (3) Floating rates: H-Plan/P-Plan float, so actual payments move; this tool is fixed-rate only. (4) Penalty/early repayment: mortgages have a penalty period; refinancing or early payoff may be penalised; partial early repayment saves interest but may be restricted. (5) Other costs: legal, valuation and stamp duty are excluded. (6) Results rounded to 2 decimals. So use it to estimate and compare, not as a substitute for the bank's approval. Property and mortgage are major commitments — actual loan, rate and fees per the bank and authorities; borrow within means.
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References
Content review: Calculatorism Finance Team. Results are for reference only; please refer to the relevant authorities for the official figures.