18 guides

Guides & analysis

Long-form explanations of the decisions our calculators support. Every figure in these articles is computed from the same formulas the tools use, so you can reproduce any number you see.

MortgagesJuly 18, 2026 · 9 min read

The 15-Year Mortgage Wins Until You Can Earn 8%

A 15-year loan saves $322,507 in interest but costs $802.68 more every month. Invest that difference instead and the answer flips, but only above a return most people do not reliably get. Here is the exact crossover point.

Mortgages8 min read

An Extra $300 a Month Saves $158,826 in Year One and $4,349 in Year 25

The same extra payment is worth thirty-six times more at the start of a mortgage than near the end. Amortization explains why, and it means the decision to prepay is really a decision about timing rather than amount.

July 2, 2026
Home Buying8 min read

Waiting to Save 20% Costs More Than the PMI You Are Avoiding

Private mortgage insurance on a 5% down payment runs $190 a month and stops after about ten and a half years. Here is what it actually costs in total, when it falls away, and why the advice to wait for 20% is frequently wrong.

June 20, 2026
Home Buying7 min read

Your $780 of Monthly Debt Costs You $120,000 of Mortgage

Lenders approve mortgages on two ratios, and existing monthly debts come straight off the top. Working the arithmetic backwards shows exactly how much borrowing capacity each recurring payment consumes.

June 5, 2026
Investing8 min read

A 1% Fund Fee Takes 17.7% of Your Final Balance

One percent sounds like a rounding error next to a 7% return. Over thirty years it removes $107,727 from a $609,985 balance, because the fee compounds against you exactly as the returns compound for you.

May 22, 2026
Investing7 min read

Investing $60,000 at Once Beats Spreading It Out by $884

Dollar-cost averaging a windfall costs money on average, because the cash waiting to be invested earns less than the market it is waiting for. The gap is smaller than most people assume, and that is the actual argument for doing it anyway.

May 8, 2026
Retirement7 min read

The Employer Match Is a 50% Return and a Third of Your Retirement

On a $70,000 salary, a standard 50% match on the first 6% contributes $175 a month you did not earn. Over thirty years that becomes $213,494, and skipping it for five early years costs $71,732.

April 24, 2026
Retirement9 min read

The 4% Rule Means Your Year-30 Withdrawal Is $94,262, Not $40,000

The rule is not a flat 4% of your balance each year. It is 4% in year one, then that same amount adjusted upward for inflation forever, which is a far more demanding commitment than the headline suggests.

April 10, 2026
Debt8 min read

$6,200 at the Minimum Payment Takes 159 Years

A 2% minimum on a 22.9% card barely exceeds the interest, so the balance falls at a crawl. Paying the identical amount as a fixed sum instead clears it in 13 years, and $200 a month clears it in 4.

March 27, 2026
Debt8 min read

A 12.5% Consolidation Loan With a 5% Fee Really Costs 14.68%

Consolidating $22,000 of card debt saves $4,900 over five years, but only after the origination fee is priced in. Here is how to check whether an offer is genuinely cheaper, and the failure that undoes most consolidations.

March 13, 2026
Borrowing7 min read

A 10.9% Loan With a 6% Fee Is a 14.23% Loan

Origination fees are deducted before the money reaches you, so you repay interest on cash you never received. Converting the fee into rate terms is the only way to compare two loan offers honestly.

February 27, 2026
Auto8 min read

Your Car Costs $339 a Month Before You Pay for Anything Else

A $38,000 car loses $20,393 in five years, which exceeds the loan interest by a factor of nearly three. Depreciation is the largest cost of owning a vehicle and the only one that never appears on a statement.

February 13, 2026
Auto6 min read

0% Financing Beats $3,000 Cash Back Unless Your Rate Is Under 3.7%

Dealers offer one or the other, never both, and the right choice depends entirely on the rate you would otherwise pay. There is an exact break-even, and on a typical deal it sits far below what most buyers are quoted.

January 30, 2026
Taxes7 min read

The Marriage Penalty Does Not Begin Until $731,200

Federal brackets for joint filers are exactly double the single brackets through the 32% band, so most couples face no penalty at all. Many receive a substantial bonus. Here is where the arithmetic actually turns.

January 16, 2026
Savings7 min read

$50,000 Under the Mattress Becomes $20,599 in Thirty Years

At 3% inflation, money loses half its purchasing power every 23.4 years. A high-yield savings account roughly keeps pace and a checking account does not, which decides where cash should and should not sit.

January 9, 2026
Credit6 min read

There Is No 30% Credit Utilization Cliff

Utilization is scored on a continuous curve, not against a threshold, so 29% is not safe and 31% is not a failure. Lower is better all the way down, and the reporting date matters more than the balance you carry.

December 19, 2025
Student Loans & College7 min read

Refinancing $48,000 of Federal Loans Saves $5,473 and Costs You Every Protection

Moving from 6.8% to 4.9% lowers the payment by $45.61 a month. It also permanently surrenders income-driven repayment, forbearance, and forgiveness, which is a large price for a modest saving.

December 5, 2025
Freelance & Business6 min read

A 40% Markup Is a 28.57% Margin, and the Gap Costs $80,000

Markup is measured against cost and margin against price, so they are never the same number. Confusing them is the most common pricing error in small business, and it under-prices every unit you sell.

November 21, 2025