Passerine Finance™

Articles

Clear, evergreen writing on saving, investing, and retirement — the explanations and stories behind the calculators.

New here? Start with the basics.

Four short reads, in order — the ideas the rest of the site builds on.

Featured

Money Basics

What Is Present Value?

Money now, or more money later? Present value is the simple tool that compares the two fairly. What it is, why it matters, four everyday scenarios — and why there's almost always someone on the other side of the offer, with terms that may or may not be negotiable.

Evergreen Article·6 min read
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Paying for College

Paying for College

A Plan for Paying for College

Paying for college has three moving parts — what it costs, how much you save, and how loans fill the rest. How they fit together, and why saving early is the cheapest defense against high borrowing costs later.

Evergreen · 6 min read Read Article →
Paying for College

How 529 College Savings Plans Work

The account most families use to save for college: state-sponsored and tax-advantaged. Who can open one, how much you can put in, and examples of what the money can and can't pay for — including computers and the 2026 rule changes.

July 2026 · 6 min read Read Article →
Paying for College

How Federal Student Loans Actually Work

The structure of the program — subsidized, unsubsidized, and Parent PLUS, borrowed in order — plus the 2026–27 rates, fees, and limits, including the new Parent PLUS caps that took effect July 1, 2026.

July 2026 · 7 min read Read Article →
Paying for College

Graduate School Is Harder to Plan Than College

Graduate programs vary far more than undergraduate ones — in length, cost, and how they're funded — and the federal loan rules tightened on July 1, 2026. A field guide to planning ahead, and the tool to model it.

July 2026 · 8 min read Read Article →

Money Basics

Money Basics

The Rate Behind Your Rates

The rate you earn on savings and the rate you pay on a loan aren't set alone — they follow the federal funds rate and the 10-Year Treasury. Why the Fed's next move is your business, how it reaches your savings and loans, and what to do with that signal.

Evergreen · 6 min read Read Article →
Money Basics · Case Study

What a Kitchen Remodel Really Earns

Return on investment is the simplest way to measure whether money you spent came back with more — and one of the easiest to fool yourself with. How ROI works, where it's strong, where it misleads, worked through a $40,000 kitchen that adds $50,000 of value and sells 18 months later.

Evergreen · 10 min read Read Article →
Money Basics

What Is Present Value?

Money now or more money later? Present value compares them fairly — and, since you're here to make a smart decision, helps you tell a good deal from a tempting one. What it is, why you should care, four everyday scenarios, and who's on the other side of the offer.

Evergreen · 6 min read Read Article →
Money Basics

Present Value: What Is a Discount Rate?

The discount rate is the dial that decides what future money is worth today. What it is (and isn't), whether a higher or lower rate is better and for whom, and how to choose sensible values for the calculator.

Evergreen · 6 min read Read Article →
Money Basics

Today's Dollars: Inflation and the Language of Financial Planning

A term you'll meet everywhere — in calculators, planners, and reports. It sounds technical, but it just means an amount stated in today's prices and purchasing power. Why planners use it, how inflation links today's and future dollars, how the Fed aims to keep inflation steady and predictable, and why a huge future number is often less scary than it looks.

Evergreen · 19 min read Read Article →
Money Basics · Case Study

So You Won the Lottery: Lump Sum or Annual Payments?

The biggest choice a jackpot winner makes is really a discount rate problem. We solve a $50M jackpot with the calculator, then get real about the tax hit and the discipline it takes to come out ahead.

Evergreen · 13 min read Read Article →
Money Basics

How Interest Really Works

Interest is the price of money over time. The few rules behind it — compounding, rate, term, and inflation — and how to come out ahead whether you're borrowing or saving.

Evergreen · 8 min read Read Article →
Money Basics

Where Should You Keep Your Cash?

Checking is built for spending, not earning. A plain-English tour of high-yield savings, CDs, money market accounts, and brokerage money market funds — what each is for, and how to make idle cash earn its keep without giving up safety or access.

Evergreen · 10 min read Read Article →

Debt & Credit

Debt & Credit

How Credit Cards Really Work: Paid in Full vs. Carrying a Balance

The same card pays you a small reward or charges you a large interest rate — and one habit decides which. Three scenarios: paying in full, partial payments, and the minimum-payment trap.

Evergreen · 7 min read Read Article →
Debt & Credit

How a Credit Card's Grace Period Really Works

A grace period can make a credit card free — or, with one slip, flip it into compounding interest on purchases you already made and every purchase to come. How it works, and two scenarios you can run yourself.

Evergreen · 7 min read Read Article →

Family & Education

Family & Education

The Gift That Grows Up With the Child

A grandparent's $5,000 gift at birth, left untouched for 20 years at 6%, more than triples into a real start on college — without anyone adding another dollar. A plain-language lesson in compounding and 529 plans.

Evergreen · 7 min read Read Article →
Family & Education · Analysis

The Other Side of the Gift

The companion piece: that $14,700 is money no one has to borrow. If a family used a Parent PLUS loan instead, it would repay about $23,272 — and the gift's growth and the loan's cost are the same math in reverse.

June 2026 · 6 min read Read Article →

Saving & Investing

Retirement · Planning

Planning Your 401(k)

Two coworkers — one earning $75,000, one $150,000 — plan their contributions. The employer match and tax savings hand both a day-one return over 100%, and even "just the match" compounds to nearly a million dollars over a career. Two interactive charts you can flip between earners.

July 2026 · 10 min read Read Article →
Retirement · Analysis

Does the Timing of Your 401(k) Contributions Matter?

Two savers contribute the same $24,500 a year — one front-loaded into the first half, one spread evenly throughout — over 20 years of real market returns. Timing does move the balance, but the employer's per-period match rule moves it far more, and a true-up can flip the winner.

July 2026 · 8 min read Read Article →
Retirement · Money Basics

What Is a 401(k) True-Up, and Why You Need to Know

You can contribute enough to earn your full employer match and still not receive all of it. What a true-up is, how per-paycheck matching shortchanges early or uneven savers, how to check your plan, and the math on the fix — with sources.

July 2026 · 7 min read Read Article →
Investing · Principles

You Just Got a Lump Sum. Now What?

A windfall, examined through the principles and the historical math: matching the money to its job, the real cost of holding cash, why entry timing matters less than time invested, and the trade-off between investing all at once and spreading it in.

Evergreen · 9 min read Read Article →
Investing · Behavior

Easing In: Spreading a Lump Sum Into the Market

If investing it all at once feels like too much, dollar cost averaging spreads it out. The emotional case for easing in — and what it actually costs or saves on real S&P 500 history, including 2008.

Evergreen · 6 min read Read Article →
Retirement · Analysis

Two Retirees, the Same $1 Million

How a 70/30 and a 30/70 portfolio fared when one retiree started at the dot-com peak and another at the trough that followed — a study in timing and risk.

Evergreen · 8 min read Read Article →
Retirement & Investing

Balancing Your Investments

Cash, bonds, and stocks each do a different job, and every portfolio is a balance of them. There's no single best mix — the right one depends on when you'll spend the money. A real 30-year backtest of three timelines, shown in nominal and inflation-adjusted dollars.

Evergreen · 11 min read Read Article →

Home & Mortgage

Home & Mortgage

Are Mortgage Points Worth It?

Paying points buys a lower rate for cash upfront — but whether it pays off comes down to one number: how long you stay. The break-even math, worked on a $300,000 loan.

Evergreen · 7 min read Read Article →
Home & Mortgage

When Does Refinancing Actually Pay Off?

A lower rate is only half the story — closing costs and the reset clock are the other half. Worked on a $300,000 mortgage, with the trap of restarting a 30-year term.

Evergreen · 7 min read Read Article →

Cars & Big Purchases

Cars & Big Purchases · Case Study

Leasing or Buying a 2026 BMW X3 30 xDrive: When the Cheap Money Is in the Loan

A live July 2026 BMW offer — a $569 lease and a 0.90% APR loan — decoded. The lease hides a ~4% rate while the loan is nearly free money, and a fast-depreciating luxury SUV still tilts toward buying.

July 2026 · 12 min read Read Article →
Cars & Big Purchases · Case Study

Leasing or Buying a 2026 Honda CR-V Hybrid: A Real Offer, Run Both Ways

A live July 2026 Honda offer — a $319 lease and a 4.49% Special APR — decoded and run over three and six years. What the lease really finances, what a five-year loan costs, and when owning pulls ahead.

July 2026 · 12 min read Read Article →
Cars & Big Purchases · Case Study

The Bonus or the Low Rate?

A real Volkswagen offer: on the 2026 Atlas, Tiguan, and Jetta, take the low-APR financing or a Customer Bonus — not both. Which one wins, the car where it's a coin flip, and how a discount and sales tax shift it.

June 2026 · 14 min read Read Article →
Cars & Big Purchases · Analysis

The Long and Short of It

36, 48, 60, 72, or 84 months? A longer loan shrinks the payment — but it usually carries a higher rate too, so the term costs you twice. The math on a $50,000 car.

Evergreen · 7 min read Read Article →
Cars & Big Purchases

Save Up or Finance? Buying a Car the Cheaper Way

A bigger down payment shrinks the loan and the interest — and the cash you save while you wait earns its own return. The trade-off, worked on a $35,000 car.

Evergreen · 6 min read Read Article →
Cars & Big Purchases

Lease or Buy a Car? The Deal, the Taxes, and the Upkeep

A purchase and a lease are built very differently. How each deal is structured — the loan, the money factor and residual — and how sales tax, excise tax, and maintenance fall out on each side.

Evergreen · 7 min read Read Article →

Data & Methods

Data & Methods

The Stock-Market Data We Use

The historical U.S. stock-market series behind our charts comes from the Fama/French research data, not the S&P 500. What the data are, how we turn them into a Growth of $100 line, and how we attribute the source.

Updated July 2026 · 5 min read Read Article →

More articles are on the way. Each one pairs a clear explanation with real data and the calculators you can use to model your own numbers.