Skip to content
Math of Money

Personal finance guides

Short, plain-English explanations of the decisions behind the numbers, from extra mortgage payments to claiming Social Security. Every example is calculated with the same tested math as our calculators, and you can open each one with the inputs already filled in.

Home Equity Loan vs. HELOC: How Each Works and When to Use EachCompare home equity loans and HELOCs: how each works, the 80–85% CLTV rule that caps borrowing, costs, risks, and which fits your situation.5 min read15-Year vs. 30-Year Mortgage: Which Costs Less?Compare a 15-year and 30-year mortgage side by side: monthly payment, total interest, and when a 30-year loan with extra payments is the smarter middle path.3 min readHow Mortgage Amortization Works: Where Each Payment GoesWhy early mortgage payments are mostly interest, how an amortization schedule is built, and when your payments start paying down more principal than interest.3 min readHow Much House Can I Afford on My Salary?How lenders use the 28/36 rule to size your mortgage, what home price that works out to at common salaries, and why your comfortable budget may be lower.4 min readRent vs. Buy: How to Decide With Real NumbersRenting isn't throwing money away and buying isn't always an investment. See how rent, home prices, and investment returns decide which one builds more wealth.4 min readWhen Does Refinancing a Mortgage Make Sense?How to tell if a mortgage refinance pays off: the break-even point, the hidden cost of restarting a 30-year term, cash-out trade-offs, and when to skip it.3 min readHow Extra Mortgage Payments Actually Save You MoneyHow much interest extra mortgage payments really save (monthly, yearly, or a lump sum), with worked examples, and when paying down the mortgage isn't best.5 min readFHA vs. Conventional Loans: Which Costs Less Over 30 YearsFHA and conventional loans compared side by side: down payment, credit score, mortgage insurance that ends or doesn't, and the total cost over 30 years.5 min readIs 20% Down Still the Rule? What PMI Really CostsWhat private mortgage insurance costs, when it goes away, how to cancel it early, and whether it's worth waiting to save a 20% down payment before you buy.4 min read

Savings & Investing

Investing calculators →

Taxes & Income

Taxes calculators →