Monthly payment on a $475k mortgage at 7.75%

$475k at 7.75%

$3,403per month

principal and interest only over 30 years — the real bill is $3,755–$4,784

Principal & interest, 30 yr	$3,403
Realistic total paymentadds property tax, insurance and PMI — the range is mostly state tax	$3,755–$4,784
Total interest over 30 yrmore than the amount borrowed	$750,065
20-year payment	$3,900
15-year payment$1,068 more a month, $420,274 less interest	$4,471
First payment: interest	$3,068
First payment: principalonly 10% of the payment touches the debt	$335
Per $1,000 borrowedscales linearly at 7.75% over 30 years	$7.16

Notes

The quoted payment is not the bill. $3,403 is principal and interest. Property tax, homeowner's insurance and — under 20% down — private mortgage insurance are collected alongside it, and on this loan they add roughly $352 to $1,381 a month.
Property tax is the biggest variable and it is geographic. Effective rates run from about 0.3% of value in the lowest states to over 2% in the highest — a factor of six on the same house. That single line moves the monthly bill here by roughly $792, which is more than a full percentage point of interest rate.
Where the money goes early on. The first payment is $3,068 interest and $335 principal — 10% of it reduces the debt. The crossover, where principal first exceeds interest within a single payment, arrives around year 19 at this rate. That asymmetry is why an extra payment in year two is worth many times the same payment in year twenty.
Fifteen years costs $1,068 more a month and saves $420,274 in interest. Whether that is a good trade depends on what the extra $1,068 would otherwise do — which is a different question from which loan is cheaper.
Payment scales linearly with the amount at a fixed rate: $7.16 per $1,000 borrowed at 7.75% over 30 years. That shortcut works for any figure, not just the round ones.

The short answer

A $475k mortgage at 7.75% over 30 years costs $3,403 a month in principal and interest.

The actual bill is closer to $3,755–$4,784, and the gap is made of three things a rate table cannot know.

What the calculator leaves out

Line	On this loan
Principal & interest	$3,403
Property tax	varies six-fold by state
Homeowner's insurance	roughly 0.5% of value a year
PMI, if under 20% down	roughly 0.6% of the loan a year

Property tax is the biggest variable and it is geographic. Effective rates run from about 0.3% of value in the lowest states to over 2% in the highest. On this loan that single line moves the monthly bill by more than a full percentage point of interest rate would.

PMI disappears at around 20% equity. Tax and insurance do not.

Where the money goes early on

The first payment is $3,068 interest and $335 principal — only 10% of it reduces the debt.

Interest is charged on the outstanding balance, which is largest at the beginning. That asymmetry is why an extra payment made in year two removes far more total interest than the same payment in year twenty, and it is the whole argument for paying early rather than paying more.

Term changes the shape completely

Term	Monthly	Total interest
30 years	$3,403	$750,065
20 years	$3,900	—
15 years	$4,471	$329,791

Fifteen years costs $1,068 more a month and saves $420,274 in interest.

Whether that is a good trade depends on what the extra $1,068 would otherwise do. It is a question about your other options, not about which loan is cheaper — the shorter loan is always cheaper.

The shortcut for any other amount

At 7.75% over 30 years, each $1,000 borrowed costs $7.16 a month.

Payment scales linearly with the amount at a fixed rate, so that figure answers any loan size without another calculation.

What actually moves the payment

Rate and term, in that order. A quarter-point of rate is worth more on a large loan than most people expect, and it is the reason shopping more than one lender is the highest-return hour available in the whole process.

Points — paying 1% of the loan up front to lower the rate by roughly a quarter point — pay for themselves in about five years. Whether that is worth it depends on how long the loan will actually be held, and the median is closer to a decade than to thirty years.

Nearby sizes

Monthly Payment on a $400K Mortgage: $2,528 at 6.5% — Before Tax and InsuranceThe loan calculator gives you $2,528. The bill is closer to $3,300, and the gap is made of two things no rate table contains.
Total Interest Paid Over 30 Years: $510,178 on a $400K Loan at 6.5%On a $400,000 loan at 6.5%, the interest exceeds the amount borrowed. The reason sits in the first payment, where fourteen cents of every dollar touches the debt.
Monthly Payment on a $35,000 Car Loan: $693 at 7% Over Five YearsDealers negotiate the monthly payment because it is the number you feel. Lengthening the term lowers it every time, and it is the most expensive way to do so.
How Much House Can I Afford on $80K? About $295K–$340K, and Two Ratios Decide ItLenders will approve more than the old rule allows. The gap between what you can borrow and what you should is where most of the regret in home buying lives.