How Much Math Is on the Series 65? The Formulas That Matter

Short answer: some math, but not a math exam. The Series 65 has no separate math section. Calculations show up inside topics like bond yields, returns, ratios, and risk measures, mixed in with everything else. If you can divide, multiply, and keep your decimal points where they belong, you’re in good shape. (The decimal points are the hard part. They wander.)

NASAA (the North American Securities Administrators Association, the group of state securities regulators that writes the exam) doesn’t publish how many questions involve math. So we won’t make up a number. What we can do is show you exactly where its outline calls for numbers, and the formulas worth knowing cold.

The exam in one minute

• 140 multiple-choice questions: 130 scored plus 10 unscored pretest questions.
• 180 minutes to finish.
• Pass: at least 92 of the 130 scored questions. NASAA says this is not 70% and is not figured as a percentage.
• Closed book.
• Fee: $187, paid to FINRA (the Financial Industry Regulatory Authority), which runs the exam.

The four sections, from NASAA’s outline (effective June 12, 2023):

• Economic Factors and Business Information: 15% (20 questions)
• Investment Vehicle Characteristics: 25% (32 questions)
• Client Investment Recommendations and Strategies: 30% (39 questions)
• Laws, Regulations, and Guidelines, Including Prohibition on Unethical Business Practices: 30% (39 questions)

That last section is rules and ethics. The numbers live in the first three.

Sources: NASAA Series 65 Exam Content Outline page, NASAA Series 65 Outline (PDF), NASAA Exam FAQs, and FINRA Series 65 page, as of Oct 26, 2026.

The calculator they hand you (lower your expectations)

You can’t bring your own. At a Prometric test center, FINRA provides a four-function calculator, erasable note boards, and dry-erase markers. Four functions means add, subtract, multiply, divide. No financial keys, no memory tricks.

So plan on doing arithmetic, not spreadsheet work. For ideas like future value or internal rate of return, understanding what the number means matters as much as producing it.

Source: FINRA, Prepare for Your Test Center Appointment, as of Oct 26, 2026.

Where the outline calls for numbers

Here’s what NASAA’s outline lists that involves calculating or comparing numbers. The quoted names are the outline’s own words.

• Analytical Methods (Section I): “time value of money concepts” (internal rate of return, net present value, future value); “descriptive statistics” (mean, median, mode, range, standard deviation, Alpha, Beta, and Sharpe ratios, correlation); “financial ratio interpretation and calculation” (current, quick, and debt-to-equity ratios); and “valuation factors, interpretation and calculation” (price-to-earnings, price-to-book).
• Fixed income (Section II): yield, duration, pricing at par, premium, or discount, yield to call, yield to maturity, conversion valuation, and discounted cash flow.
• Pooled investments (Section II): pricing by net asset value (NAV) and discount/premium, plus fee structures.
• Capital Market Theory (Section III): the Capital Asset Pricing Model (CAPM).
• Tax Considerations (Section III): capital gains, tax basis, and marginal bracket.
• Portfolio Performance Measures (Section III): returns, including risk-adjusted, time-weighted, dollar-weighted, annualized, total, holding period, internal rate of return, expected, inflation-adjusted, and after tax, plus current yield.

Source: NASAA Series 65 Outline (PDF), effective June 12, 2023, as of Oct 26, 2026.

The formulas that matter

These are standard finance formulas, not anything NASAA publishes. Each one maps to a term in the outline above.

Bonds

• Current yield = annual interest ÷ market price. A $1,000 bond paying $50 a year and priced at $950 has a current yield of about 5.26%.
• The yield order. Discount bond: coupon < current yield < yield to maturity. Premium bond: the order flips. Learn this one rule and a lot of bond questions get easier.
• Conversion: shares per bond = par ÷ conversion price. A $1,000 bond convertible at $25 turns into 40 shares.

Returns

• Holding period (total) return = (ending value − beginning value + income) ÷ beginning value.
• Inflation-adjusted (real) return ≈ nominal return − inflation rate. A handy shortcut.
• Future value = present value × (1 + rate)^years. $1,000 at 5% for two years grows to $1,102.50. Present value runs it backward: divide instead of multiply.
• Net present value = present value of future cash flows − cost today. Positive NPV means the investment beats the discount rate.

Risk

• Sharpe ratio = (portfolio return − risk-free rate) ÷ standard deviation. Higher means more return per unit of risk.
• CAPM expected return = risk-free rate + beta × (market return − risk-free rate).
• Alpha = actual return − expected return. Positive alpha means the manager beat what the risk taken would predict.
• Beta of 1.0 moves with the market; 1.5 swings about 50% more; below 1.0 swings less.

Company ratios

• Current ratio = current assets ÷ current liabilities.
• Quick ratio = (current assets − inventory) ÷ current liabilities.
• Debt-to-equity = total debt ÷ shareholders’ equity.
• Price-to-earnings (P/E) = share price ÷ earnings per share. Price-to-book = share price ÷ book value per share.

Funds and taxes

• NAV per share = (fund assets − liabilities) ÷ shares outstanding. A closed-end fund or ETF can trade above NAV (a premium) or below it (a discount).
• Capital gain = sale proceeds − tax basis (usually what you paid, plus certain costs).

Try a few practice questions

These are original questions written for this post. They are not from any real NASAA or FINRA exam. Scratch work encouraged.

1. A bond with a 6% coupon and $1,000 par value is trading at $960. What is its current yield?

A. 5.76%
B. 6.00%
C. 6.25%
D. 6.40%

Answer: C. Annual interest is 6% of $1,000, or $60. $60 ÷ $960 = 6.25%. Since the bond trades at a discount, its current yield is above the coupon, which also rules out A and B fast.

2. A client buys a stock at $40, collects $1.20 in dividends, and sells one year later at $43. Inflation that year was 3%. What are the holding period return and the approximate real return?

A. 7.5% and 4.5%
B. 10.5% and 7.5%
C. 10.5% and 13.5%
D. 3.0% and 0%

Answer: B. Gain of $3 plus $1.20 income is $4.20. $4.20 ÷ $40 = 10.5%. Subtract 3% inflation for about 7.5% real. A forgets the dividend, and C adds inflation instead of subtracting it.

3. The risk-free rate is 2%. Fund A returned 10% with a standard deviation of 12%. Fund B returned 8% with a standard deviation of 6%. Which had the better risk-adjusted return?

A. Fund A, because its return was higher
B. Fund B, with a Sharpe ratio of 1.0 vs. about 0.67
C. Fund A, with a Sharpe ratio of 1.0 vs. 0.67
D. They are equal

Answer: B. Fund A: (10 − 2) ÷ 12 ≈ 0.67. Fund B: (8 − 2) ÷ 6 = 1.0. Fund B earned more return for each unit of risk. Higher raw return isn’t the same as better risk-adjusted return.

4. The risk-free rate is 3%, the market is expected to return 9%, and a stock’s beta is 1.2. Using CAPM, what is the stock’s expected return?

A. 7.2%
B. 9.0%
C. 10.2%
D. 10.8%

Answer: C. 3% + 1.2 × (9% − 3%) = 3% + 7.2% = 10.2%. A forgets to add back the risk-free rate, and D multiplies beta by the full 9%.

A simple way to study the math

• Write a one-page formula sheet and redo it from memory until you can.
• Learn what each number means, not just how to get it. Many questions ask which fund is riskier, not for the decimal.
• Practice with a basic calculator, the same kind you’ll get on test day.
• Don’t over-invest. Laws and ethics is 30% of the exam, and its outline lists no calculations. Budget your hours to match. (Yes, that’s a portfolio allocation joke.)

The bottom line

The Series 65 is 130 scored questions plus 10 pretest questions in 180 minutes, and you need at least 92 right. NASAA doesn’t say how many involve math, but its outline names calculations in yields, returns, ratios, time value of money, and risk measures. Know about a dozen formulas, know what they mean, and the math becomes the friendly part of the exam.

Exam facts checked against NASAA’s Series 65 Exam Content Outline page, Exam FAQs, and outline (effective June 12, 2023), plus FINRA’s Series 65 and test center pages, as of Oct 26, 2026. Formulas are standard finance math for study purposes, not investment advice. Rules can change, so confirm with NASAA, FINRA, and your state regulator before you test. ebooklessons.com is an independent study aid and is not affiliated with NASAA, FINRA, or Prometric.