Loan affordability calculator

Find how much you can borrow from the monthly payment you can afford at your rate and term, and the price your down payment then buys.

અપડેટ કરેલું તપાસેલાં ઉદાહરણો: 4

$
%
$
અજમાવો
Loan you can afford
$
Loan you can afford: $186,198.20
દશાંશ સ્થાનો: 2; સૌથી નજીક; સરખા અંતરે સમ અંક તરફ
Price with your down payment
$236,198.20
Total of payments
$360,000.00
Total interest
$173,801.80
Number of payments
240
Lenders also cap payments by income (debt-to-income ratio) and add fees; treat this as the upper limit your budget allows.

A payment of $1,500.00 a month for 240 months supports a loan of $186,198.20; with your down payment that buys up to $236,198.20. Of the $360,000.00 you pay in total, $173,801.80 is interest.

What your payments cover

$186.2Kloan
મુદ્દલ51.7%વ્યાજ48.3%

Loan you can afford at other rates

$0$100K$200K$300K0%5%10%15%Interest rate (per year)7.5%
Repayment schedule for this loan પંક્તિઓ: 240
મહિનોચુકવણીમુદ્દલવ્યાજબાકી રકમ
1$1,500.00$336.26$1,163.74$185,861.94
2$1,500.00$338.36$1,161.64$185,523.57
3$1,500.00$340.48$1,159.52$185,183.09
4$1,500.00$342.61$1,157.39$184,840.49
5$1,500.00$344.75$1,155.25$184,495.74
6$1,500.00$346.90$1,153.10$184,148.84
7$1,500.00$349.07$1,150.93$183,799.77
8$1,500.00$351.25$1,148.75$183,448.52
9$1,500.00$353.45$1,146.55$183,095.07
10$1,500.00$355.66$1,144.34$182,739.42
11$1,500.00$357.88$1,142.12$182,381.54
12$1,500.00$360.12$1,139.88$182,021.42
ગણતરી કેવી રીતે થાય છે S
  1. Monthly rate and number of payments

    r=7.51200=0.00625,n=240r = \frac{7.5}{1200} = 0.00625,\qquad n = 240
  2. Present value of your payments

    P=1,500.00×1−(1+0.00625)−2400.00625=186,198.20P = 1{,}500.00 \times \frac{1 - (1 + 0.00625)^{-240}}{0.00625} = 186{,}198.20

    This is the EMI formula solved for the loan amount.

  3. Price with your down payment

    186,198.20+50,000.00=236,198.20186{,}198.20 + 50{,}000.00 = 236{,}198.20

Loan affordability calculator વિશે

This works the EMI formula backwards. Given the monthly payment you can afford, the largest loan it repays is P = M × (1 − (1 + r)^−n) ÷ r, where r is the monthly rate and n the number of payments; this is what Excel's PV function returns. Adding your down payment gives the highest price you can pay.

With the defaults, 1,500 a month for 20 years at 7.5% supports a loan of 186,198.20, and 50,000 down lifts the price you can afford to 236,198.20. The 240 payments total 360,000.00, of which 173,801.80 is interest.

The result is the ceiling your budget sets. Lenders also limit the payment by your income through the debt-to-income ratio, and property tax, insurance and fees come out of the same monthly budget.

ઉકેલેલાં ઉદાહરણો

500 a month for 20 years at 8%

Monthly payment you can afford
500
Interest rate (per year)
8%
Tenure
20
Tenure in
વર્ષો
Down payment you have
0
Loan you can afford
59,777.15
Total interest
60,222.85

ચકાસણીનો સ્ત્રોત: Microsoft PV function documentation example: PV(0.08/12, 12*20, 500) = −59,777.15

1,500 a month for 20 years at 7.5% with 50k down

Monthly payment you can afford
1500
Interest rate (per year)
7.5%
Tenure
20
Tenure in
વર્ષો
Down payment you have
50,000
Loan you can afford
186,198.20
Price with your down payment
236,198.20

ચકાસણીનો સ્ત્રોત: Python decimal (prec 50) present value of an ordinary annuity

Zero rate

Monthly payment you can afford
1000
Interest rate (per year)
0%
Tenure
12
Tenure in
મહિના
Down payment you have
0
Loan you can afford
12,000.00
Total interest
0.00

ચકાસણીનો સ્ત્રોત: M × n when there is no interest

One month at 12%

Monthly payment you can afford
1010
Interest rate (per year)
12%
Tenure
1
Tenure in
મહિના
Down payment you have
0
Loan you can afford
1,000.00
Total interest
10.00

ચકાસણીનો સ્ત્રોત: 1010 / 1.01 by hand

પ્રશ્નો

How much can I borrow with a given monthly payment?

Multiply the payment by the annuity factor (1 − (1 + r)^−n) ÷ r. At 8% over 20 years, r = 0.08 ÷ 12 and n = 240, so the factor is 119.55 and a payment of 500 a month supports a loan of 59,777.15. Microsoft's documentation for Excel's PV function gives the same figure for PV(0.08/12, 240, 500).

What debt-to-income ratio do lenders accept?

In the US, the CFPB suggests keeping total debt payments at 36% of gross monthly income or less and housing costs at 28% to 35%, though some lenders go to 43% or higher. Fannie Mae's standard maximum is 36%, rising to 45% with credit-score and reserve requirements and to 50% for loans underwritten through Desktop Underwriter. On a gross income of 5,000 a month, 36% is 1,800.

How does the interest rate change how much I can borrow?

A higher rate means more of each payment goes to interest, so the same payment supports a smaller loan. Over 20 years, 1,500 a month supports 201,187.51 at 6.5%, 186,198.20 at 7.5% and 172,846.26 at 8.5%: each percentage point costs about 7% of the loan. The chart shows the full curve for your payment and term.

Does a longer loan term let me borrow more?

Yes, but with diminishing returns and much more interest. At 7.5%, 1,500 a month supports 161,810.14 over 15 years, 186,198.20 over 20 years and 214,526.44 over 30 years. Going from 20 to 30 years adds 28,328.24 of borrowing but raises total interest from 173,801.80 to 325,473.56.

“Loan affordability calculator” કેટલું ચોક્કસ છે?

ચોકસાઈ તમારા ઇનપુટ અને પદ્ધતિની ધારણાઓ પર આધારિત છે. દશાંશ ગણતરી 50 સાર્થક અંકો વાપરે છે, પરંતુ અંદાજ, સંખ્યાત્મક પદ્ધતિઓ અને મૂળ ડેટા ઓછા ચોક્કસ હોઈ શકે છે; દર્શાવેલા મૂલ્યોને રાઉન્ડ કરવાથી આ મર્યાદાઓ દૂર થતી નથી. સ્વતંત્ર સ્ત્રોતોના ઉકેલેલા ઉદાહરણો સાથે ચકાસણી: 4. ઉદાહરણ તરીકે, “500 a month for 20 years at 8%”ને Microsoft PV function documentation example: PV(0.08/12, 12*20, 500) = −59,777.15 સાથે ચકાસવામાં આવે છે.

આ પદ્ધતિનો સ્ત્રોત શું છે?

Microsoft Excel PV function; Consumer Financial Protection Bureau — Debt-to-income ratio.

આ કેલ્ક્યુલેટર વિશે

P=M⋅1−(1+r)−nr,r=annual rate1200P = M \cdot \frac{1 - (1+r)^{-n}}{r},\qquad r = \frac{\text{annual rate}}{1200}

સ્રોતો

  1. Microsoft Excel PV function
  2. Consumer Financial Protection Bureau — Debt-to-income ratio

માત્ર આયોજન માટે. ધિરાણદાતાઓ, કર સત્તાવાળાઓ અને બજારો પોતાનું રાઉન્ડિંગ, ફી અને નિયમો લાગુ કરે છે; પ્રતિબદ્ધતા કરતાં પહેલાં તેમની સાથે આંકડાની ખાતરી કરો.

સંદર્ભો સાથે ચકાસેલાં

આ કેલ્ક્યુલેટરમાં સ્વતંત્ર સ્રોતોના જવાબો ધરાવતા 4 ઉકેલેલાં ઉદાહરણો છે. તે પરીક્ષણ સમૂહમાં ચાલે છે અને તમે અહીં પણ ચલાવી શકો છો.

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