$200,000 15-Year Fixed Mortgage at 6.0%
A $200,000 15-year fixed mortgage at 6.0% pays the loan off in half the time of a 30-year deal. The trade-off is a higher monthly payment in exchange for dramatically less interest.
Monthly payment
The monthly rate is 0.06 / 12 = 0.005 and the term is 180 months. The amortization formula gives a level payment of $1,687.71.
M = P x i x (1+i)^n / ((1+i)^n - 1)
i = 0.06 / 12 = 0.005 n = 15 x 12 = 180
M = 200,000 x 0.005 x (1.005)^180 / ((1.005)^180 - 1) = 1,687.71
What you save
Across 180 payments you repay about $303,787. Interest is only $103,787, so the interest ratio is a modest 34% - far below the 56% a 30-year loan would produce at a similar rate.
- Monthly principal and interest: about $1,688
- Total repaid over 15 years: about $303,800
- Total interest: about $103,800
- First-month split: about $1,000 interest and $688 principal
Versus a 30-year loan
Compared with a 30-year loan at 6.0%, which would cost about $1,199 a month and roughly $231,700 in interest, the 15-year plan pays about 41% more each month but saves close to $127,900 in interest and clears the debt 15 years sooner.
Budgeting beyond the payment
The $1,688 payment is principal and interest only. Because a 15-year loan has a higher payment, property tax and insurance leave less slack in the monthly budget, so verify that total housing costs stay near 28% of gross income.
$200,000、15 年期固定利率房贷(6.0%)
贷款 20 万美元、年利率 6.0%、期限 15 年,只需 30 年期一半的时间就能还清。代价是月供更高,回报则是利息大幅减少。
每月月供
月利率为 0.06 / 12 = 0.005,期数为 180。代入公式后每月还款为 1,687.71 美元。
月供 = 本金 x 月利率 x (1+月利率)^期数 / ((1+月利率)^期数 - 1)
月利率 = 0.06 / 12 = 0.005 期数 = 15 x 12 = 180
月供 = 200,000 x 0.005 x (1.005)^180 / ((1.005)^180 - 1) = 1,687.71
能省多少利息
180 期累计还款约 303,787 美元,其中利息仅 103,787 美元,利息占比约 34%,明显低于同等利率下 30 年期的约 56%。
- 每月本息合计:约 1,688 美元
- 15 年累计还款:约 303,800 美元
- 累计支付利息:约 103,800 美元
- 首月利息约 1,000 美元,本金约 688 美元
与 30 年期对比
若改为 30 年期、利率同为 6.0%,月供约 1,199 美元、总利息约 231,700 美元。15 年期每月多付约 41%,却能省下近 127,900 美元利息,并提前 15 年还清贷款。
月供之外的预算
1,688 美元仅含本金与利息。由于 15 年期月供相对较高,房产税与保险在月度预算中留下的余地更少。建议确认住房总支出仍接近税前收入的 28%,以免还款压力挤压其他生活开支。此外,利率一旦锁定,月供与税费、保险的组合在未来十五年内都相对可预测,便于家庭做长期规划。