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.

업데이트 검증한 예제: 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.
추가 옵션
%
시도하기
Time to reach the target
months
Time to reach the target: 20 months
정수; 가장 가까운 값, 중간값은 0에서 먼 쪽으로
Time to reach the target
1 year 8 months
Cash needed at purchase
$52,000.00
선납금
$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 행 수: 6
Down선납금Cash 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
계산 방법 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).

Down payment calculator 소개

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.

계산 예제

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

계산할 항목
Time to save
Home price
200,000
Enter down payment as
Percent of price
선납금
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

검증 출처: 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

계산할 항목
Time to save
Home price
200,000
Enter down payment as
Amount
선납금
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
해당 없음

검증 출처: 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

계산할 항목
Time to save
Home price
400,000
Enter down payment as
Percent of price
선납금
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

검증 출처: 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

계산할 항목
Time to save
Home price
300,000
Enter down payment as
Percent of price
선납금
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

검증 출처: Hand calculation: (30,000 − 6,000) ÷ 1,000 = 24 months exactly

자주 묻는 질문

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”의 정확도는 어느 정도인가요?

정확도는 입력값과 계산 방법의 가정에 따라 달라집니다. 십진 연산은 유효숫자 50자리를 사용하지만, 추정값·수치해석 방법·원본 데이터의 정밀도는 더 낮을 수 있습니다. 표시값을 반올림해도 이러한 한계는 사라지지 않습니다. 독립적인 출처의 풀이와 대조한 계산 예시: 7. 예를 들어 “Freddie Mac example: 5% down on a 200,000 home”은 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 1,043.45와 대조해 확인합니다.

이 계산 방법의 출처는 무엇인가요?

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.

이 계산기 소개

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

출처

  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

계획을 위한 참고용입니다. 대출기관, 세무당국과 시장은 자체 반올림 방식, 수수료와 규칙을 적용합니다. 계약 등의 결정을 내리기 전에 해당 기관에 수치를 확인하세요.

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이 계산기에는 독립적인 출처에서 답을 얻은 계산 예제가 7개 있습니다. 테스트 모음에서 실행되며 여기에서도 실행할 수 있습니다.

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