计算方法
公式、在银行做法不同之处我们所作的选择、取整方式、利率来源,以及每项引擎测试及其结果。
利率截至 2026年11月10日。规则核查于 2026年11月10日。
方法,以及我们选择它们的原因
主要还款额
标准年金公式:还款额 = P × r / (1 − (1 + r)^−n),其中 r 为年利率除以每年还款次数(12、26 或 52)。BNZ 的计算器对按月还款贷款采用相同方法,并且能重现法规中 $235.37 的示例。
每周和每两周
真正的每周或每两周还款额,是按每年 52 或 26 次还款重新计算的年金,这也是银行设定的方式。我们单独显示月供的一半(或四分之一),因为这是另一回事:它每年支付 13 个月的还款。
按日计息
银行按日累计利息,按月收取。我们的按日选项按年利率除以 365 逐日计算贷款,每月同一日期将利息计入贷款,并在各自日期扣除每次还款。没有任何银行网页说明闰年是否按 366 天计算,因此我们每年都按 365 天计算。
银行做法的差异
自 2024 年 5 月 5 日起,BNZ 按每个还款期的实际天数计算利息(每月 28 至 31 天);其本金加利息的还款额保持不变,但只付利息的还款额按月变化。其他银行不公布其确切方法,而 ANZ 手册中的数字(每两周 $877.67)无法用我们尝试过的任何标准方法重现。
取整
没有银行公布其取整规则。我们保留完整精度,将还款额向上取整到分显示,以确保贷款总能在期限内还清,并允许最后一次还款较少。我们用于测试的研究数字采用四舍五入,因此显示的还款额可能比其高一分。
额外还款和一次性还款
两种计算使用相同的常规还款额。默认情况下,一次性还款后保持还款额不变并缩短贷款期限;您也可以选择在相同期限内降低还款额。
重新锁定和分拆贷款
重新锁定利率时,新的还款额是按剩余余额、剩余年数和新利率计算的年金。分拆贷款按各部分分别计算。
违约金
采用《2004 年信贷合同与消费金融条例》(Credit Contracts and Consumer Finance Regulations 2004) 第 9 条和第 11 条中的安全港公式,并使用银行目前与您剩余时间最接近期限的利率(如果两个期限同样接近,则取较高利率)。银行使用批发掉期利率,因此我们的数字只是估算。
默认利率
对于每个期限,我们取各银行所有产品中公布的最低利率,并计算五家银行的平均值,保留两位小数。没有该期限的银行(Kiwibank 没有 18 个月利率)不计入该期限的平均值。
违约金公式
剩余还款的价值(第 11 条)
VFP = p × ((1 − v^n) / (i / f)) × (1 + i)^(d / 365) + v^n × (1 + i)^(d / 365) × EB, where v = 1 / (1 + i / f) and EB = u + IC − TP
贷款机构损失的估算
LRE = VFP − u, and zero if that is negative
利率从何而来
利率表读取自 interest.co.nz,日期为 2026年11月10日。我们每周编辑一个文件,然后重新构建并重新部署。本网站上的利率总是附有日期。
引擎测试
我们研究文件中的每个案例在每次构建前都会按其规定的容差运行,任何失败都会使构建停止。于 2026年11月10日:68 项通过,0 项失败,1 项仅供参考(予以报告,不计入),12 项借款案例在我们的住房贷款网站上测试。
| 检查项 | 依据 | 结果 | 详情 | 来源 |
|---|---|---|---|---|
| MR-01 repayment | sourced | 通过 | expected 235.37, got 235.3674 | 来源 |
| MR-02 VFP | sourced | 通过 | expected 3924.23, got 3924.2252 | 来源 |
| MR-02 break fee (LRE) | sourced | 通过 | expected 58.57, got 58.5652 | 来源 |
| MR-03 VFP | sourced | 通过 | expected 3780.11, got 3780.1052 | 来源 |
| MR-03 loss before the floor | sourced | 通过 | expected -85.55, got -85.5548 | 来源 |
| MR-03 break fee (LRE) | sourced | 通过 | expected 0, got 0.0000 | 来源 |
| MR-04 EB | sourced | 通过 | expected 2649.11, got 2649.1100 | 来源 |
| MR-04 break fee (LRE) | sourced | 通过 | expected 31.79, got 31.7875 | 来源 |
| MR-05 repayment | computed | 通过 | expected 2681.05, got 2681.0532 (displayed rounded up: 2681.06) | 来源 |
| MR-05 total interest (repayment x n less loan) | computed | 通过 | expected 465178, got 465178.00 | 来源 |
| MR-06 true fortnightly | computed | 通过 | expected 1236.81, got 1236.8120 | 来源 |
| MR-06 true weekly | computed | 通过 | expected 618.28, got 618.2780 | 来源 |
| MR-06 half the monthly, fortnightly | computed | 通过 | expected 1340.53, got 1340.5250 | 来源 |
| MR-06 quarter of the monthly, weekly | computed | 通过 | expected 670.26, got 670.2625 | 来源 |
| MR-06 monthly x 12 / 26 (no saving) | computed | 通过 | expected 1237.41, got 1237.4077 | 来源 |
| MR-06b fortnights to repay | computed | 通过 | expected 657, got 657 | 来源 |
| MR-06b total interest (within $1) | computed | 通过 | expected 379692.97, got 379692.97 | 来源 |
| MR-06b interest saved against monthly (within $1) | computed | 通过 | expected 85485.03, got 85485.03 | 来源 |
| MR-07 interest only, rate / 12 | computed | 通过 | expected 2495, got 2495 | 来源 |
| MR-07 interest only, 31-day month (BNZ actual days) | computed | 通过 | expected 2542.85, got 2542.8493 | 来源 |
| MR-07 interest only, 30-day month (BNZ actual days) | computed | 通过 | expected 2460.82, got 2460.8219 | 来源 |
| MR-07 interest only, 28-day month (BNZ actual days) | computed | 通过 | expected 2296.77, got 2296.7671 | 来源 |
| MR-08 reducing loan principalPerPayment | computed | 通过 | expected 1000, got 1000 | 来源 |
| MR-08 reducing loan firstPayment | computed | 通过 | expected 2500, got 2500 | 来源 |
| MR-08 reducing loan secondPayment | computed | 通过 | expected 2495, got 2495 | 来源 |
| MR-08 reducing loan lastPayment | computed | 通过 | expected 1005, got 1005 | 来源 |
| MR-08 reducing loan totalInterest | computed | 通过 | expected 225750, got 225750 | 来源 |
| MR-09 balance after 12 repayments | computed | 通过 | expected 492609.9, got 492609.9019 | 来源 |
| MR-09 repayments with the lump sum | computed | 通过 | expected 331, got 331 | 来源 |
| MR-09 interest saved (within $1) | computed | 通过 | expected 59798.66, got 59798.66 | 来源 |
| MR-09 or a lower repayment, same term | computed | 通过 | expected 2572.2, got 2572.2024 | 来源 |
| MR-10 repayments with $100 extra | computed | 通过 | expected 332, got 332 | |
| MR-10 interest saved (within $1) | computed | 通过 | expected 42465.87, got 42465.87 | |
| MR-11 months at $2,400 | sourced (approximate) | 通过 | expected 244, got 244 | 来源 |
| MR-11 fortnights at $1,200 | sourced (approximate) | 通过 | expected 468, got 468 | 来源 |
| MR-11 ANZ: interest saved within 5% of about $23,000 | sourced (approximate) | 通过 | ANZ about 23000, ours 23496.00 | 来源 |
| MR-11 ANZ: about 2 years sooner (within half a year) | sourced (approximate) | 通过 | ANZ about 2 years, ours 2.33 | 来源 |
| MR-12 ANZ: total interest within 0.5% (monthly) | sourced (approximate) | 通过 | ANZ 286627, ours 287475.08 | 来源 |
| MR-12 ANZ: total interest within 0.5% (fortnightly) | sourced (approximate) | 通过 | ANZ 286627, ours 287154.67 | 来源 |
| MR-12 ANZ: total interest within 0.5% (weekly) | sourced (approximate) | 通过 | ANZ 286627, ours 287021.60 | 来源 |
| MR-13 weeks to repay | sourced (approximate) | 通过 | expected 1381, got 1381 | 来源 |
| MR-13 ANZ: same years and months | sourced (approximate) | 通过 | ANZ 26 years 7 months, ours 26 years 7 months | 来源 |
| MR-13 ANZ: interest within 0.5% | sourced (approximate) | 通过 | ANZ 248900, ours 249456.52 | 来源 |
| MR-14 weeks to repay | sourced (approximate) | 通过 | expected 1438, got 1438 | 来源 |
| MR-14 ANZ: same years and months | sourced (approximate) | 通过 | ANZ 27 years 8 months, ours 27 years 8 months | 来源 |
| MR-14 ANZ: interest within 0.5% | sourced (approximate) | 通过 | ANZ 272199, ours 272670.02 | 来源 |
| MR-15 rounding $877.67 up to $900 (reference only) | sourced (approximate) | 参考 | ANZ: about 15000 saved and 1 year 4 months sooner from $877.67. Our true fortnightly is 880.97; at $900: 749 fortnights, 13159.17 saved. ANZ's method is not stated, so this is not counted. | 来源 |
| MR-16 fortnightly at rate / 26 | computed | 通过 | expected 880.97, got 880.9735 | 来源 |
| MR-16 fortnightly at 14 days / 365 | computed | 通过 | expected 879.81, got 879.8084 | 来源 |
| MR-17 monthly repayment | computed | 通过 | expected 2838.95, got 2838.9450 | |
| MR-17 fortnightly repayment | computed | 通过 | expected 1309.65, got 1309.6490 | |
| MR-17 weekly repayment | computed | 通过 | expected 654.69, got 654.6888 | |
| MR-17 total interest, monthly | computed | 通过 | expected 522022, got 522022.00 | |
| MR-18 repayment | computed | 通过 | expected 2997.75, got 2997.75 | 来源 |
| MR-18 balance after 12 repayments (u) | computed | 通过 | expected 493859.97, got 493859.9738 | 来源 |
| MR-18 interest in the rest of the fixed period (IC) | computed | 通过 | expected 29454.27, got 29454.2704 | 来源 |
| MR-18 repayments in the rest of the fixed period (TP) | computed | 通过 | expected 35973, got 35973 | 来源 |
| MR-18 EB | computed | 通过 | expected 487341.24, got 487341.2443 | 来源 |
| MR-18 break fee estimate (within $0.05) | computed | 通过 | expected 4826.95, got 4826.9453 | 来源 |
| MR-19 balance charged interest | sourced (balance) and computed (interest) | 通过 | expected 60000, got 60000 | 来源 |
| MR-19 monthly interest | sourced (balance) and computed (interest) | 通过 | expected 322, got 322 | 来源 |
| HL-01 DTI ratio | sourced | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-02 DTI boundary for owner-occupier (high if above 6) | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-03 Investor DTI threshold 7 | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-04 Max total debt under DTI 6 including credit card limit | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-05 LVR and high-LVR flag, owner-occupier (high if above 80%) | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-06 LVR and high-LVR flag, investor (high if above 70%) | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-07 Deposit needed | computed from sourced rules | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-08 First Home Loan insurance premium | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-09 First Home Loan income eligibility | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-10 KiwiSaver first-home maximum withdrawal (leave $1,000) | computed from sourced rule | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-11 loan a repayment supports (engine, for homeloancalculator) | computed | 通过 | expected 457834.08, got 457834.0814 | 来源 |
| HL-12 loan a repayment supports (engine, for homeloancalculator) | computed | 通过 | expected 446407.34, got 446407.3408 | 来源 |
| HL-13 Low equity premium cost, Westpac 85.01 to 90% band (UNVERIFIED rates) | computed from single-source rates | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| HL-14 Rental income shaded at 75% for servicing (default, adjustable) | computed (default is a choice, see research s 3.4) | 住房贷款网站 | Borrowing rule for homeloancalculator.co.nz; tested there. | 来源 |
| consistency: the rounded-up repayment clears the loan within the term | consistency | 通过 | 360 repayments, last 2675.38 | 来源 |
| consistency: displayed repayment is never below the exact figure and at most a cent above | consistency | 通过 | exact 2681.0532, shown 2681.06 | 来源 |
| consistency: half the monthly each fortnight pays one extra monthly repayment a year | consistency | 通过 | extra a year 2681.06, monthly 2681.06 | 来源 |
| consistency: break fee rate uses the nearest term, the higher rate on a tie (9 months: 1 year) | consistency | 通过 | chose 1y | 来源 |
| consistency: no interest-only period gives the same interest as a table loan | consistency | 通过 | difference 0.0000 | 来源 |
| consistency: daily method keeps the same monthly repayment (BNZ since May 2024) | consistency | 通过 | daily 2681.06, simple 2681.06 | 来源 |