$100,000 30-Year Fixed Mortgage at 6.5%
A $100,000 30-year fixed loan at 6.5% is the classic starter mortgage. Because the rate never changes, the payment stays identical for the entire term and you always know exactly what leaves your account each month.
Your monthly payment
At a 6.5% annual rate the monthly interest rate is 0.065 / 12 = 0.0054167 and the term is 360 months. Filling those into the standard amortization formula gives a principal-and-interest payment of $632.06 every month.
M = P x i x (1+i)^n / ((1+i)^n - 1)
i = 0.065 / 12 = 0.0054167 n = 30 x 12 = 360
M = 100,000 x 0.0054167 x (1.0054167)^360 / ((1.0054167)^360 - 1) = 632.06
Total cost over 30 years
Multiply $632.06 by 360 payments and you repay about $227,542. Of that, $127,542 is interest and only $100,000 is the money you actually borrowed, an interest-to-total ratio of roughly 56%.
- Monthly principal and interest: about $632
- Total repaid over the life of the loan: about $227,500
- Total interest: about $127,500 (roughly 56% of everything you pay)
- First payment: about $542 interest and just $90 principal
15-year or 30-year?
A 15-year loan at the same 6.5% rate would raise the payment to roughly $871 a month, about 38% more, but would cut total interest to about $56,800 and save you close to $70,700. The 30-year route trades a higher lifetime cost for a much lower monthly figure.
Budgeting beyond the payment
The $632 figure covers principal and interest only. Property tax, homeowners insurance and any mortgage insurance sit on top of it, so the real monthly cost of a $100,000 loan is higher than the loan payment alone. Lenders generally prefer total housing costs to stay below about 28% of gross monthly income.
$100,000、30 年期固定利率房贷(6.5%)
贷款 10 万美元、年利率 6.5%、期限 30 年,是很多人第一套房会选择的标准按揭方案。固定利率意味着整个期限内月供不变,每月还款额清晰可预期,便于家庭做长期预算。
每月月供
月利率为 0.065 / 12 = 0.0054167,期数为 30 x 12 = 360。代入等额本息公式后,每月应还本息约为 632.06 美元,30 年保持不变。
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 = 6.5% / 12 = 0.0054167 期数 = 30 x 12 = 360
月供 = 100,000 x 0.0054167 x (1.0054167)^360 / ((1.0054167)^360 - 1) = 632.06
30 年总共要还多少钱
把 632.06 美元乘以 360 期,累计还款约为 227,542 美元。其中利息约 127,542 美元,本金 100,000 美元,利息占还款总额的比例接近 56%。
- 每月本息合计:约 632 美元
- 30 年累计还款:约 227,500 美元
- 累计支付利息:约 127,500 美元(约占全部还款的 56%)
- 首月利息约 542 美元,本金仅约 90 美元
选 15 年还是 30 年?
若同样 6.5% 的利率改为 15 年期,月供会提高到约 871 美元,约多出 38%,但总利息会降到约 56,800 美元,可节省近 70,700 美元。30 年期的代价是总利息更高,换来的是更轻松的月供压力。
月供之外的预算
632 美元只包含本金与利息。房产税、房屋保险以及可能的按揭保险都需要另行计入,因此 10 万美元贷款的真实月度住房支出会高于月供本身。贷款机构通常希望住房总支出不超过税前月收入的约 28%,申请之前不妨先算一算这一比例是否合适。