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Down payment calculator

Down payment and closing costs you need, how long your savings take to reach them (or the monthly saving needed), and the PMI cost below 20% down.

更新于 已验证的示例：7

$
%
Common minimums: 3% conventional (Fannie Mae 97% LTV options), 3.5% FHA, 0% VA. 20% avoids PMI.
%
Freddie Mac: plan for 2% to 5% of the purchase price. Enter 0 to leave them out.
$
$
%
Compounded monthly; savings are added at the end of each month.
%
years
%
Freddie Mac: about $30 to $70 a month per $100,000 borrowed (0.36% to 0.84% a year). Charged below 20% down.
更多选项
%
试一试
Time to reach the target
months
Time to reach the target: 20 months
整数；取最近值，等距时远离零
Time to reach the target
1 year 8 months
Cash needed at purchase
$52,000.00
首付款
$40,000.00
Closing costs
$12,000.00
Loan amount
$360,000.00
Loan-to-value
90.00%
Principal and interest
$2,275.44
PMI per month
$150.00
Monthly payment with PMI
$2,425.44
Months of PMI
95
Total PMI
$14,250.00
More needed for 20% down
$40,000.00
Time to save 20% down
43months
FHA loans charge mortgage insurance premiums instead of PMI and VA loans charge a funding fee; see the FHA and VA calculators for those.

You reach $52,000.00 ($40,000.00 down plus $12,000.00 of closing costs) in 1 year 8 months. The $360,000.00 loan then costs $2,425.44 a month with $150.00 of PMI for 95 months; saving for 20% down instead takes 3 years 7 months.

Savings against the target

$0$20K$40K$60K$80K010203040MonthTarget reached
SavingsYour target20% down + closing costs

Monthly payment by down payment

$0$1,000$2,000$3,0003%5%10%15%20%25%
Principal and interestPMI
Down payment options 行数：6
Down首付款Cash neededMonthly P&I + PMITotal PMIMonths to save
3%$12,000.00$24,000.00$2,614.09$21,501.673
5%$20,000.00$32,000.00$2,560.19$19,633.338
10%$40,000.00$52,000.00$2,425.44$14,250.0020
15%$60,000.00$72,000.00$2,290.70$7,933.3332
20%$80,000.00$92,000.00$2,022.62$0.0043
25%$100,000.00$112,000.00$1,896.20$0.0054
计算方法 S

  1. Savings target

    10%×400,000.00+3%×400,000.00=40,000.00+12,000.00=52,000.0010\% \times 400{,}000.00 + 3\% \times 400{,}000.00 = 40{,}000.00 + 12{,}000.00 = 52{,}000.00

    Down payment plus closing costs.

  2. Months to reach the target

    20,000.00(1+i)20+1,500.00 (1+i)20−1i=52,345.68≥52,000.0020{,}000.00(1+i)^{20} + 1{,}500.00\,\frac{(1+i)^{20}-1}{i} = 52{,}345.68 \ge 52{,}000.00

    Month 20 is the first in which the balance covers the target (i = 0.3333% a month).

  3. Mortgage payment

    L=400,000.00−40,000.00=360,000.00,L r(1+r)360(1+r)360−1=2,275.44L = 400{,}000.00 - 40{,}000.00 = 360{,}000.00,\quad \frac{L\,r(1+r)^{360}}{(1+r)^{360}-1} = 2{,}275.44

  4. PMI

    0.5%×360,000.0012=150.00 for 95 months\frac{0.5\% \times 360{,}000.00}{12} = 150.00\ \text{for 95 months}

    Until the scheduled balance reaches 80% of the price ($320,000.00), when you can ask the servicer to cancel it; it ends automatically at 78% and at the loan's midpoint at the latest (CFPB).

关于Down payment calculator

The savings target is the down payment plus closing costs, which Freddie Mac puts at 2% to 5% of the price. The time to reach it comes from growing what you have saved at your savings return, adding each month's saving, and finding the first month the balance covers the target; the other mode works out the monthly saving needed by a chosen date.

With the defaults, 10% down on a 400,000 home plus 3% closing costs is 52,000. Starting from 20,000 and saving 1,500 a month at 4%, you get there in 20 months. The 360,000 loan then carries PMI of 150 a month for 95 months, while saving for 20% down (92,000 with closing costs) takes 43 months.

PMI is estimated at a flat yearly rate of the loan until the balance is scheduled to reach 80% of the price, when a US servicer must cancel it on request (CFPB). Taxes on savings interest are not included.

计算示例

Freddie Mac example: 5% down on a 200,000 home

我要计算
Time to save
Home price
200,000
Enter down payment as
Percent of price
首付款
5%
Closing costs (of price)
0%
Saved so far
10,000
Monthly saving
500
Return on savings (per year)
0%
Mortgage rate (per year)
4.5%
Mortgage term
30 years
PMI (per year, of loan)
0.51%
Time to reach the target
0 months
Loan amount
190,000.00
Principal and interest
962.70
PMI per month
80.75
Monthly payment with PMI
1,043.45

核验来源：Freddie Mac, Breaking down PMI: 5% down on 200,000, 30-year fixed at 4.5% → P&I 962.70, PMI 80.75 at 0.51%, total 1,043.45

Freddie Mac example: 20% down, no PMI

我要计算
Time to save
Home price
200,000
Enter down payment as
Amount
首付款
40,000
Closing costs (of price)
0%
Saved so far
40,000
Monthly saving
1500
Return on savings (per year)
0%
Mortgage rate (per year)
4.5%
Mortgage term
30 years
PMI (per year, of loan)
0.51%
Loan amount
160,000.00
Principal and interest
810.70
PMI per month
0.00
Monthly payment with PMI
810.70
More needed for 20% down
不适用

核验来源：Freddie Mac, Breaking down PMI: 20% down on 200,000 at 4.5% → P&I 810.70 and no PMI

Defaults: 10% down plus 3% closing costs

我要计算
Time to save
Home price
400,000
Enter down payment as
Percent of price
首付款
10%
Closing costs (of price)
3%
Saved so far
20,000
Monthly saving
1500
Return on savings (per year)
4%
Mortgage rate (per year)
6.5%
Mortgage term
30 years
PMI (per year, of loan)
0.5%
Time to reach the target
20 months
Time to reach the target
1 year 8 months
Cash needed at purchase
52,000.00
PMI per month
150.00
Months of PMI
95
Total PMI
14,250.00
More needed for 20% down
40,000.00
Time to save 20% down
43 months

核验来源：Python decimal month-by-month savings at 4%/12 (first month with balance ≥ 52,000 is 20; ≥ 92,000 is 43); PMI months from the amortization at 6.5% until the balance ≤ 320,000

Zero return: whole months of saving

我要计算
Time to save
Home price
300,000
Enter down payment as
Percent of price
首付款
10%
Closing costs (of price)
0%
Saved so far
6000
Monthly saving
1000
Return on savings (per year)
0%
Mortgage rate (per year)
6.5%
Mortgage term
30 years
PMI (per year, of loan)
0.5%
Time to reach the target
24 months
Cash needed at purchase
30,000.00

核验来源：Hand calculation: (30,000 − 6,000) ÷ 1,000 = 24 months exactly

常见问题

How much should you put down on a house?

20% avoids private mortgage insurance on a conventional loan, which Freddie Mac requires above 80% loan-to-value. Lower minimums exist: 3% on Fannie Mae's 97% loan-to-value options, 3.5% on an FHA loan with a credit score of 580 or more, and nothing on a VA loan. On a 400,000 home that is 80,000, 12,000, 14,000 or 0, before closing costs.

How much does PMI cost?

Freddie Mac puts it at about 30 to 70 a month for every 100,000 borrowed, or 0.36% to 0.84% of the loan a year. Its example: 5% down on a 200,000 home at 4.5% gives a 190,000 loan, 962.70 of principal and interest and 80.75 of PMI at 0.51%, for 1,043.45 a month. You can ask to cancel PMI when the balance is scheduled to reach 80% of the original value (CFPB).

How long does it take to save for a down payment?

Divide the gap by what you save each month, then let interest shorten it. Reaching 52,000 from 20,000 at 1,500 a month takes 22 months with no interest, since 32,000 ÷ 1,500 = 21.3, and 20 months at 4% compounded monthly. If home prices rise while you save, the target moves too; enter a growth rate under More options.

Do I need to save for closing costs as well?

Yes. Closing costs are paid at closing on top of the down payment, and Freddie Mac says to plan for 2% to 5% of the purchase price. On a 400,000 home that is 8,000 to 20,000, so 10% down plus 3% closing costs needs 52,000 in cash, not 40,000.

Should I wait until I have 20% down?

Waiting avoids PMI but delays the purchase. With the defaults, buying at 10% down after 20 months means PMI of 150 a month for 95 months, 14,250 in all; waiting for 20% takes 43 months. If prices rise 4% a year while you save, 10% down plus closing costs grows from 52,000 to 56,059.68 and takes 23 months.

“Down payment calculator”有多准确？

准确性取决于输入值和方法的假设。十进制运算使用50位有效数字，但估算、数值方法和源数据的精度可能较低；显示时的舍入并不能消除这些限制。 已按独立来源核验的计算示例：7。 例如，“Freddie Mac example: 5% down on a 200,000 home”根据Freddie Mac, Breaking down PMI: 5% down on 200,000, 30-year fixed at 4.5% → P&I 962.70, PMI 80.75 at 0.51%, total 1,043.45进行核验。

这种方法出自哪里？

Freddie Mac — Breaking down PMI (cost per $100,000 and a 5% vs 20% down example); Freddie Mac — What are closing costs and how much will I pay?; Consumer Financial Protection Bureau — When can I remove private mortgage insurance (PMI) from my loan?; Fannie Mae — 97% loan-to-value options.

关于此计算器

S(1+i)n+C (1+i)n−1i≥(d+c) PS(1+i)^{n} + C\,\frac{(1+i)^{n}-1}{i} \ge (d + c)\,P

来源

  1. Freddie Mac — Breaking down PMI (cost per $100,000 and a 5% vs 20% down example)
  2. Freddie Mac — What are closing costs and how much will I pay?
  3. Consumer Financial Protection Bureau — When can I remove private mortgage insurance (PMI) from my loan?
  4. Fannie Mae — 97% loan-to-value options

仅用于规划。贷款机构、税务机关和市场采用各自的舍入方式、费用和规则；作出承诺前，请向相关机构确认数值。

已对照来源验证

此计算器包含 7 个已解示例，答案来自独立来源。这些示例会在测试套件中运行，你也可以在此运行验证。

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