MAT-144 · Mathematical Reasoning Topic 07 · Taxes & Stocks
Topic 07 · Glossary

Vocabulary & key terms

Every term defined across this topic, grouped by lesson. Tap a lesson title to jump back to the page where the term was introduced.

30 terms in this topic. Skim before the review.
Gross pay
The top-line number. The hourly rate times the hours worked, plus any overtime, tips, or bonuses, before anything is withheld. This is the number stated in a job offer (e.g., "$50,000 a year" = about $961.50 per weekly pay period).
FICA
Federal Insurance Contributions Act tax. Two components: Social Security at 6.2% of gross (up to an annual cap) and Medicare at 1.45% of gross (no cap). Combined rate for employees: 7.65%. Employers pay a matching 7.65%, doubling the total amount going to those programs.
Federal income tax withholding
An estimate of the federal income tax you will owe for the year, deducted from each paycheck so you don't owe a giant lump sum in April. The estimate is based on Form W-4 (filing status, allowances, extra withholding) and the IRS withholding tables. Lesson 3 reconciles this estimate with the actual tax owed.
State income tax
Same idea as federal withholding, but going to the state. Most states have an income tax; a handful (Texas, Florida, Nevada, Washington, others) do not. Rates and brackets vary by state.
Net pay (take-home)
Gross pay minus all deductions. The amount that actually shows up in your bank account on payday.
Progressive tax
A tax in which higher slices of income are taxed at higher rates. The opposite is a flat tax, where every dollar is taxed at the same rate. Most developed economies use progressive income tax systems.
Tax bracket
An income range with a single tax rate applied to it. The 22% bracket for a single 2024 filer runs from $47,150 to $100,525; income inside that range is taxed at 22%.
Taxable income
Gross income minus the standard deduction (or itemized deductions) and any other adjustments. The brackets are applied to taxable income, not to gross. Lesson 3 develops this distinction in detail.
Marginal rate
The rate of the top bracket your taxable income reaches. Determines how much tax you'd owe on the next dollar earned (or save, by deferring it into a 401(k)).
Effective rate
Total tax owed divided by total taxable income, expressed as a percent. Always lower than the marginal rate in a progressive system. The effective rate is the "true" rate at which you're paying tax.
Standard deduction
A flat amount the IRS allows you to subtract from gross income before applying the brackets. 2024 amounts: $14,600 single, $29,200 married-filing-jointly, $21,900 head-of-household. Almost 90% of filers take the standard deduction rather than itemizing.
Itemized deduction
An alternative to the standard deduction: sum specific allowed expenses (mortgage interest, state/local taxes, charitable donations, large medical bills) instead of taking the flat amount. Worth doing only when the itemized total exceeds the standard deduction.
Gross income vs taxable income
Gross income is all earnings before any adjustments. Taxable income is gross income minus the standard deduction (or itemized deductions). The brackets in Lesson 2 apply to taxable income.
Refund
Money returned to the filer when withholding exceeded actual tax owed. Not a windfall; it is your own money returning. Large refunds suggest the W-4 should be adjusted to reduce withholding.
Form 1040
The standard U.S. individual income tax return form. The arithmetic of this lesson lives on the 1040: gross income, deductions, taxable income, tax owed, withholding already paid, refund or amount due.
Share
A single unit of ownership in a company. A typical public company has hundreds of millions or billions of shares outstanding; owning 100 is a small but meaningful (and tradable) position.
Share price
The dollar amount one share trades for. Determined moment-to-moment by buyers and sellers in the open market. The share-price ticker on financial news websites is the most-watched number in finance.
Dividend
A cash payment made by the company to shareholders, usually quarterly, on a per-share basis. Companies that pay dividends are typically more mature; younger, growth-focused companies often pay none and reinvest profits internally.
Capital gain (or loss)
The change in the value of the position due to share-price movement, not including dividends. Realized when you sell the shares; until then, the gain is unrealized and not yet taxed.
Return on investment (ROI)
Total return divided by amount invested, expressed as a percent. ROI lets you compare investments of very different sizes on the same scale: 20% on $5,000 and 20% on $5,000,000 are the same rate of return, even though the dollar gains differ by a thousandfold.
Face value (par)
The amount the bond's issuer promises to return at maturity. Almost always $1,000 for U.S. corporate bonds; sometimes $5,000 or $10,000 for institutional issues; sometimes smaller for retail-oriented products.
Coupon rate
The annual interest rate the bond pays, as a percentage of face value. A 5% coupon on a $1,000 bond pays $50 per year. Often paid in two semiannual installments of $25 each, though introductory courses simplify to annual payments.
Maturity
The date (or remaining number of years) until the bond's face value is returned. U.S. Treasury bonds run up to 30 years; corporate bonds commonly 5, 10, or 20 years. Longer maturities expose the investor to more interest-rate risk.
Current yield
Annual coupon divided by current market price, expressed as a percent. A $50 coupon on a bond currently trading for $1,025 has a current yield of 50/1,025 ≈ 4.88%. The current yield differs from the coupon rate whenever the bond's market price differs from its face value.
Premium vs discount
A bond trading above face value is a premium bond (price > $1,000); below face value is a discount bond (price < $1,000). Prices drift based on prevailing interest rates: when rates rise, existing bonds become less attractive and their prices fall (discount); when rates fall, existing bonds become more attractive and their prices rise (premium).
Asset class
A broad category of investment with similar risk-return characteristics. The three classic ones are stocks (equities), bonds (fixed income), and cash (money-market funds, short-term Treasury bills). Real estate, commodities, and others are commonly added in more sophisticated portfolios.
Expected return
The long-run average annual return of an asset class. Expected in the statistical sense (Lesson 5 of Topic 6: E(X) = Σ x · P(x)) — not a guarantee for any single year.
Volatility
The standard deviation of annual returns. (Topic 5 standard-deviation math applied to the annual-return distribution.) Higher volatility means wider year-to-year swings around the expected return.
Asset allocation
The percentages of a portfolio assigned to each asset class. "60/40" is shorthand for 60% stocks, 40% bonds. The biggest single decision in personal investing — far more impactful than picking individual stocks within the stock allocation.
Time horizon
The number of years until you expect to need the money. Drives the asset allocation: longer = more stocks. A common rule of thumb is percent in stocks = 110 − age, which gradually shifts from stock-heavy in youth to bond-heavy approaching retirement.