Equity and what a lender will actually lend
Equity is the plain difference between what a home is worth and what is still owed on it. It is a useful number to know and it is not the number a lender works from, because no lender will advance the last slice of a house. What they will go to is a ceiling on the combined loans against the property, and what is available to borrow is that ceiling less the existing mortgage.
The gap between the two figures is the point. A home with substantial equity can still have very little available to draw on, and knowing which number a lender means is the difference between an application that works and one that does not.
That ceiling is a lender convention rather than a rule anybody publishes. It moves with the lender, with the credit assessment and with the market, and it moves downwards fast when house prices fall. The figure on this page is yours to set for exactly that reason.
A second charge, and what that means
A home equity loan sits behind the existing mortgage. The first lender is paid first if the house is ever sold under pressure, and the second lender takes what is left. That is why the rate is higher than a first mortgage and lower than an unsecured loan: there is security, but it is second in line.
It also means the house is at stake in a way it is not with a credit card. Borrowing at a lower rate to clear a higher one is real arithmetic and a genuine saving, and it converts an unsecured debt into one attached to where you live. That is a trade worth making deliberately rather than by accident.
What this page does not model
It works out a fixed-rate loan, fully amortising, taken all at once. Closing costs, valuation fees and any early repayment charge are not in it. Nor is tax: interest on borrowing against a home is deductible in some places under some conditions, and the conditions are specific enough that a calculator guessing at them would do more harm than good.
It also does not judge whether the borrowing is a good idea, which depends on what the money is for and on what else is owed at what rate.