Rent vs buy calculator

Compare renting and buying a home: net worth from owning versus renting and investing the difference, year by year, and when buying pulls ahead.

Cập nhật Ví dụ đã kiểm tra: 4

$
%
%
years
years
$
%
%
%
Earned on the renter's down payment and on whichever side's monthly savings
%
Tùy chọn khác
%
$
Grows with the home's value
%
%
Thử
Buying minus renting
$
Buying minus renting: $14,221.16
Số chữ số thập phân: 2; Gần nhất; nếu cách đều thì về chữ số chẵn
Verdict
Buying comes out ahead
Net worth if you buy
$974,573.41
Net worth if you rent
$960,352.25
Buying pulls ahead in year
29
Mortgage payment per month
$2,022.62
Cost of owning per month, year 1
$2,847.62
Mortgage interest paid
$408,142.36
Taxes are left out: no capital-gains tax on investments or the home, and no mortgage-interest deduction.

After 30 years, buying leaves you $974,573.41 and renting while investing the difference leaves $960,352.25, so buying is ahead by $14,221.16. Buying first pulls ahead in year 29.

Buying minus renting, net worth by year

−$40K−$20K$00102030YearYear 29

Net worth: buying vs renting

$0$200K$400K$600K$800K0102030Year
BuyRent and invest

Monthly cost in year 1

$0$1,000$2,000$3,000BuyRent
Mortgage paymentProperty taxMaintenanceInsuranceRent
Year-by-year comparison Số hàng: 30
NămHome valueLoan balanceOwning costsRent paidNet worth, buyNet worth, rentBuy − rent
1$412,000.00$316,423.28$34,171.41$24,000.00$70,856.72$107,968.18−$37,111.46
2$424,360.00$312,607.02$34,468.41$24,720.00$86,291.38$124,459.95−$38,168.56
3$437,090.80$308,535.17$34,774.32$25,461.60$102,330.18$141,493.67−$39,163.49
4$450,203.52$304,190.63$35,089.41$26,225.45$119,000.68$159,088.45−$40,087.77
5$463,709.63$299,555.13$35,413.95$27,012.21$136,331.92$177,264.11−$40,932.19
6$477,620.92$294,609.18$35,748.23$27,822.58$154,354.49$196,041.27−$41,686.78
7$491,949.55$289,331.98$36,092.53$28,657.26$173,100.59$215,441.34−$42,340.75
8$506,708.03$283,701.37$36,447.16$29,516.97$192,604.18$235,486.58−$42,882.40
9$521,909.27$277,693.66$36,812.44$30,402.48$212,901.06$256,200.15−$43,299.09
10$537,566.55$271,283.60$37,188.67$31,314.56$234,028.95$277,606.11−$43,577.15
Cách tính S
  1. Loan and upfront cash

    down=400,000×0.2=80,000.00,buying costs=12,000.00,L=320,000.00\text{down} = 400{,}000 \times 0.2 = 80{,}000.00,\quad \text{buying costs} = 12{,}000.00,\quad L = 320{,}000.00
  2. Mortgage payment

    L r(1+r)360(1+r)360−1=2,022.62,r=0.005416666667\frac{L\,r(1+r)^{360}}{(1+r)^{360} - 1} = 2{,}022.62,\quad r = 0.005416666667
  3. Owning cost per month, year 1

    2,022.62+400,000×(0.011+0.01)+1,50012=2,847.622{,}022.62 + \frac{400{,}000 \times (0.011 + 0.01) + 1{,}500}{12} = 2{,}847.62

    Property tax, maintenance and insurance grow with the home's value each year.

  4. Renter's starting investment

    Irent,0=down+buying costs=92,000.00I_{rent,0} = \text{down} + \text{buying costs} = 92{,}000.00

    Each month, whichever side pays less invests the difference; both portfolios earn the investment return compounded monthly.

  5. Net worth after 30 years

    NWbuy=V30(1−0.06)−B30+Ibuy=974,573.41,NWrent=960,352.25NW_{buy} = V_{30}(1 - 0.06) - B_{30} + I_{buy} = 974{,}573.41,\quad NW_{rent} = 960{,}352.25

    The owner's net worth counts the home as if sold, after selling costs.

Giới thiệu Rent vs buy calculator

The comparison follows two households with the same money. The buyer pays the down payment and buying costs, then the mortgage, property tax, maintenance and insurance; the renter invests the down payment and buying costs instead and pays rent. Each month, whichever side spends less invests the difference at the same return. At the end, the buyer's net worth is the home's value after selling costs, minus the loan balance, plus those investments.

With the defaults, a 400,000 home bought with 20% down at 6.5%, against rent of 2,000 rising 3% a year, 3% home price growth and a 6% investment return, buying is ahead by 14,221.16 after 30 years but only pulls ahead in year 29. Over 5 years the same inputs favor renting by 40,932.19, because the 3% buying costs and 6% selling costs have not been recovered.

Income and capital gains taxes are left out, including any mortgage-interest deduction. Small changes in rent, home price growth or investment return move the answer a long way, so test several.

Ví dụ có lời giải

400k home, 20% down, 30 years

Home price
400,000
Tiền trả trước
20%
Mortgage rate (per year)
6.5%
Mortgage term
30 years
Compare over
30 years
Monthly rent
2000
Rent increase (per year)
3%
Home price growth (per year)
3%
Investment return (per year)
6%
Property tax (% of home value per year)
1.1%
Maintenance (% of home value per year)
1%
Home insurance per year
1500
Buying costs (% of price)
3%
Selling costs (% of sale price)
6%
Buying minus renting
14,221.16
Net worth if you buy
974,573.41
Net worth if you rent
960,352.25
Buying pulls ahead in year
29
Mortgage payment per month
2,022.62
Cost of owning per month, year 1
2,847.62
Mortgage interest paid
408,142.36

Nguồn đối chiếu: Python decimal (prec 50) monthly simulation written separately: loan payment, costs, and both portfolios growing at 1.06^(1/12) − 1 per month

Cash purchase with every rate zero, one year

Home price
120,000
Tiền trả trước
100%
Mortgage rate (per year)
0%
Mortgage term
30 years
Compare over
1 year
Monthly rent
1000
Rent increase (per year)
0%
Home price growth (per year)
0%
Investment return (per year)
0%
Property tax (% of home value per year)
0%
Maintenance (% of home value per year)
0%
Home insurance per year
0
Buying costs (% of price)
0%
Selling costs (% of sale price)
0%
Buying minus renting
12,000.00
Net worth if you buy
132,000.00
Net worth if you rent
120,000.00
Buying pulls ahead in year
1

Nguồn đối chiếu: Hand calculation: the renter holds the 120,000 in cash; the owner keeps the home and banks 12 × 1,000 of rent not paid

Same home over 5 years

Home price
400,000
Tiền trả trước
20%
Mortgage rate (per year)
6.5%
Mortgage term
30 years
Compare over
5 years
Monthly rent
2000
Rent increase (per year)
3%
Home price growth (per year)
3%
Investment return (per year)
6%
Property tax (% of home value per year)
1.1%
Maintenance (% of home value per year)
1%
Home insurance per year
1500
Buying costs (% of price)
3%
Selling costs (% of sale price)
6%
Buying minus renting
-40,932.19
Verdict
Renting comes out ahead

Nguồn đối chiếu: Python decimal monthly simulation: owner 136,331.92 vs renter 177,264.11 after buying and selling costs

15-year mortgage compared over 20 years

Home price
300,000
Tiền trả trước
10%
Mortgage rate (per year)
6%
Mortgage term
15 years
Compare over
20 years
Monthly rent
1800
Rent increase (per year)
3.5%
Home price growth (per year)
4%
Investment return (per year)
7%
Property tax (% of home value per year)
1%
Maintenance (% of home value per year)
1%
Home insurance per year
1200
Buying costs (% of price)
2%
Selling costs (% of sale price)
5%
Buying minus renting
272,307.00
Buying pulls ahead in year
3
Mortgage payment per month
2,278.41

Nguồn đối chiếu: Python decimal monthly simulation; the loan is paid off after year 15 and the owner invests the full rent saving afterwards

Câu hỏi

Is it better to rent or buy a house?

It depends mostly on how long you stay and how rent compares with the price. With the default 400,000 home and 2,000 rent, renting and investing the difference comes out ahead at 5, 10, 20 and 25 years, and buying wins only at 30 years, by 14,221.16. If the same home would rent for 2,200, buying pulls ahead in year 12 and leads by 286,738.41 after 30 years.

How long do you need to own a home for buying to beat renting?

Long enough for price growth and loan repayment to recover the buying and selling costs, which total 9% of the price in the defaults. With 3% annual price growth, buying the default home pulls ahead of renting only in year 29; at 4% growth it pulls ahead in year 10, and at 2% it never does within 30 years.

What is the price-to-rent ratio?

It is the home price divided by a year's rent for a comparable home. The default 400,000 home renting at 2,000 a month has a ratio of 400,000 ÷ 24,000 = 16.7. A lower ratio favors buying: at 2,500 a month (ratio 13.3) buying pulls ahead in year 6, while at 1,800 (ratio 18.5) renting stays ahead for all 30 years.

What does it cost to own a home each month?

More than the mortgage payment. In the default case, owning costs 2,847.62 a month in year 1: a 2,022.62 mortgage payment plus 1.1% property tax, maintenance at 1% of the home's value and 1,500 a year of insurance. Tax, maintenance and insurance then grow with the home's value, while the mortgage payment stays fixed.

How does the investment return change the rent vs buy result?

A higher return favors renting, because the renter's down payment and monthly savings grow faster. With the other defaults fixed, buying leads by 399,915.86 after 30 years at a 4% return and by 14,221.16 at 6%, while renting leads by 267,399.66 at 7% and by 631,038.81 at 8%.

“Rent vs buy calculator” chính xác đến mức nào?

Độ chính xác phụ thuộc vào dữ liệu nhập và giả định của phương pháp. Phép tính thập phân dùng 50 chữ số có nghĩa, nhưng ước lượng, phương pháp số và dữ liệu nguồn có thể kém chính xác hơn; làm tròn khi hiển thị không loại bỏ các giới hạn đó. Ví dụ có lời giải đã đối chiếu với nguồn độc lập: 4. Ví dụ, “400k home, 20% down, 30 years” được kiểm tra bằng Python decimal (prec 50) monthly simulation written separately: loan payment, costs, and both portfolios growing at 1.06^(1/12) − 1 per month.

Phương pháp này lấy từ đâu?

Consumer Financial Protection Bureau — Buying a house: owning vs renting; Microsoft Excel PMT function (mortgage payment).

Về công cụ tính này

NWbuy=Vt(1−s)−Bt+Ibuy,NWrent=Irent,Vt=V0(1+a)tNW_{buy} = V_t(1 - s) - B_t + I_{buy},\qquad NW_{rent} = I_{rent},\qquad V_t = V_0(1+a)^t

Nguồn

  1. Consumer Financial Protection Bureau — Buying a house: owning vs renting
  2. Microsoft Excel PMT function (mortgage payment)

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