Learn the reasoning

Practical calculation guides

Detailed explanations for the places where a correct formula can still produce a misleading answer.

Everyday math

Shopping decisions

Small-business pricing and profit

Insurance and family protection

Adult health estimates

2026 federal tax planning

Personal finance foundations

Pay and work decisions

Interest, borrowing, vehicles, and housing

Car Financing: Buy, Lease, Refinance, or Pay Early Compare out-the-door price, amount financed, APR, lease restrictions, equity, refinance break-even, and extra principal. Mortgage Planning: Affordability, Ownership, and Refinance Follow a complete decision path from household budget and cash reserves through renting, buying, amortization, and refinancing. HELOC vs. Home Equity Loan: Costs, Rates, and Risks Compare lump-sum and revolving access, fixed and variable rates, draw and repayment phases, CLTV, fees, and collateral risk. Mortgage Refinance Math: Costs, Terms, and Break-Even Compare payoff balance, new principal, cash or financed costs, term resets, remaining balances, interest, and economic break-even. Mortgage Affordability Math: DTI, Cash, and Housing Costs Understand income, debt, front- and back-end DTI, PITI, HOA, mortgage insurance, closing cash, and personal budget limits. Rent vs. Buy Math: Costs, Equity, and Opportunity Cost Compare mortgage amortization, transaction costs, maintenance, appreciation, rent growth, invested differences, and uncertain horizons. Credit Card Payoff and Debt Consolidation Math Compare fixed payments, rolled payments, balance transfers, consolidation loans, fees, terms, collateral, and total cost. APR vs. APY vs. Interest Rate Learn which rate belongs in savings, loan, and mortgage calculations, and why borrowing and deposit percentages are not interchangeable. Interest, Compounding, and Loan Payments Explained Understand simple and compound growth, nominal rates, effective yield, amortized payments, APR, fees, and the assumptions behind projections.

Retirement income and financial independence

Measurement

Home project planning

Energy and electricity

Files and networks

Programming

Dates and time