Home equity loan
A closed-end second mortgage: a fixed rate, a fixed term, one lump sum. What decides how much you can borrow is not the equity you have but the combined loan-to-value the lender will accept — measured against the first mortgage, not against the house in isolation.
| Measure | Value | Note |
|---|---|---|
| Home value | $600,000 | as appraised |
| First mortgage | $300,000 | balance outstanding |
| Equity | $300,000 | value less the first mortgage |
| Maximum combined LTV | 85% | lender policy, typically 85% |
| Available to borrow | $210,000 | at that limit |
| Requested | $100,000 | within capacity |
| Combined LTV | 66.7% | passes |
| Closing costs | $2,000 | financed |
| Amount financed | $102,000 | loan plus costs |
| Payment | $975 | 15 years at 8.00% |
| Total interest | $73,458 | over the term |
| HELOC first year | $9,000 | at 9.00% variable |
The loan takes the combined LTV to 66.7%, inside the 85% limit, and leaves 110,000 of unused capacity.
value − first mortgage · Not the borrowing limit.
value × max CLTV − first · What the lender will allow.
(first + second) / value · The number that is checked.
P = A·r/(1−(1+r)^−n) · Fixed rate, fixed term.
A clear path from inputs to results.
A closed-end second mortgage: a fixed rate, a fixed term, one lump sum. What decides how much you can borrow is not the equity you have but the combined loan-to-value the lender will accept — measured against the first mortgage, not against the house in isolation.
How to use
- Enter the home value and the first mortgage balance.
- Set the loan amount, rate and term.
- Choose the maximum combined LTV the lender allows.
- Read the payment, the combined LTV and the available capacity.
The formula
Reference: Lender CLTV policy, typically 85%, with level-payment amortisation for the second mortgage (Broverman, Mathematics of Investment and Credit).
Worked example
$100,000 second on a $600,000 home
- Home value $600,000, first mortgage $300,000.
- $100,000 second at 8% over 15 years, $2,000 of closing costs financed.
- Maximum combined LTV 85%.
- 1
Equity is $300,000, but the borrowing capacity at 85% CLTV is only $210,000.
- 2
The loan takes the combined LTV to (300,000 + 100,000) / 600,000 = 66.7%.
- 3
With the closing costs financed, $102,000 is borrowed at 8% over 180 months.
- 4
The payment is $974.80 and the total interest is $73,464.
- 5
A HELOC at 9% would cost $9,000 in the first year on the same $100,000.
$974.80 a month · 66.7% CLTV · $73,464 of interest.
Interpreting the result
The gap between equity and capacity is the point: a household with $300,000 of equity can usually borrow $210,000, not $300,000, because the lender is protecting the combined position rather than measuring the owner’s stake. That is also why a second loan gets a higher rate than a first.
Assumptions & limitations
- A closed-end fixed-rate second mortgage.
- Closing costs are financed into the loan.
- The first mortgage balance is unchanged.
- No appraisal, title or credit adjustments are modelled.
Frequently asked questions
How is this different from a HELOC?
A HELOC is a revolving line with a draw period and a variable rate. A home equity loan is a single lump sum at a fixed rate for a fixed term — cheaper to hold if rates rise, less flexible if you need to draw again.
Is the interest tax-deductible?
Only if the loan is used to buy, build or substantially improve the home, and only within the mortgage-interest limits. Using it to pay off cards generally makes the interest personal and non-deductible.
What happens if home values fall?
The CLTV rises with the value falling, which can push the loan above the lender’s limit and make a refinance impossible until values recover.
Why is my capacity less than my equity?
Because the limit is the combined LTV, not the equity. At 85% CLTV on a $600,000 home with a $300,000 first, the maximum total debt is $510,000, so $210,000 is available.
Can I get a second loan with a high CLTV?
Some lenders go to 90% or 95%, at a higher rate and with stricter credit requirements. The trade is rate for capacity.
Methodology last reviewed 2026-10-22. Results are informational and not financial or engineering advice — see our disclaimer.