The 10 Most Important CFA Level 1 Formulas

The CFA Level 1 exam tests your ability to apply formulas under time pressure, not just recognize them. Out of the hundreds of formulas across 10 topics, some appear far more frequently than others and carry more weight in the final score. These are the 10 you cannot afford to get wrong.

1. Future Value and Present Value

Future Value: FV = PV x (1 + r)^N

Present Value: PV = FV / (1 + r)^N

These are the foundation of everything in finance. Every valuation, every investment decision, every bond price calculation comes back to discounting or compounding cash flows. If you are not fluent with these two formulas — including their variations for annuities and perpetuities — you will lose points across multiple topics, not just Quantitative Methods.

What to practice: Calculate the present value of uneven cash flows, annuities due versus ordinary annuities, and perpetuities.

2. Weighted Average Cost of Capital (WACC)

WACC = (wd x rd x (1 - t)) + (wp x rp) + (we x re)

Where:

• wd, wp, we = weights of debt, preferred equity, and common equity
• rd = cost of debt
• t = tax rate
• rp = cost of preferred stock
• re = cost of equity

WACC is the discount rate used in capital budgeting and corporate valuation. It appears in Corporate Issuers and connects directly to NPV calculations. The tax shield on debt (the 1 - t term) is the most commonly tested detail.

What to practice: Calculate WACC given a capital structure, then use it to discount project cash flows and compute NPV.

3. Capital Asset Pricing Model (CAPM)

Expected Return = Rf + Beta x (Rm - Rf)

Where:

• Rf = risk-free rate
• Beta = systematic risk of the asset
• Rm = expected market return
• (Rm - Rf) = market risk premium

CAPM appears in Portfolio Management and Equity Investments. It is used to estimate the required return on equity, which feeds directly into valuation models like the Gordon Growth Model. Beta measures systematic (non-diversifiable) risk — the only risk investors are compensated for in efficient markets.

What to practice: Calculate expected return given beta, identify whether a security is overvalued or undervalued relative to the Security Market Line.

4. Gordon Growth Model (Dividend Discount Model)

Value = D1 / (r - g)

Where:

• D1 = next year's dividend = D0 x (1 + g)
• r = required rate of return
• g = constant growth rate

This is the most commonly tested equity valuation formula at Level 1. It values a stock as the present value of a growing perpetuity of dividends. The model only works when r > g and when growth is constant — both conditions are frequently tested in question scenarios.

What to practice: Calculate intrinsic value, then compare to market price to determine if the stock is overvalued or undervalued. Also practice backing out the implied growth rate or required return.

5. DuPont Analysis (Three-Factor)

ROE = Net Profit Margin x Total Asset Turnover x Financial Leverage

Expanded: ROE = (Net Income / Revenue) x (Revenue / Assets) x (Assets / Equity)

DuPont decomposition appears in Financial Statement Analysis and is tested both as a calculation and as an interpretation question. Examiners will give you two companies with the same ROE and ask why — the answer always lies in which component is driving the difference.

What to practice: Decompose ROE into its three drivers, identify which driver explains a change in ROE between two periods or two companies.

6. Bond Price Formula

Price = sum of [Coupon / (1 + r)^t] + [Face Value / (1 + r)^N]

Bond pricing is the foundation of the entire Fixed Income topic. A bond trades at par when coupon equals yield, at a premium when coupon exceeds yield, and at a discount when yield exceeds coupon. Understanding this relationship intuitively — not just mechanically — is essential for answering scenario-based questions quickly.

What to practice: Price bonds with semi-annual coupons, calculate the price after a yield change, and verify the premium/discount/par relationship.

7. Modified Duration

Modified Duration = Macaulay Duration / (1 + yield per period)

Percentage Price Change ≈ -Modified Duration x Change in Yield

Duration measures interest rate risk — specifically, how much a bond's price changes for a given change in yield. Modified duration is the version used for price sensitivity calculations. Adding convexity improves the approximation for larger yield changes.

What to practice: Calculate the approximate price change for a bond given its modified duration and a yield change of 50 or 100 basis points.

8. Sharpe Ratio

Sharpe Ratio = (Portfolio Return - Risk-Free Rate) / Portfolio Standard Deviation

The Sharpe ratio is the most commonly used risk-adjusted performance measure at Level 1. It measures excess return per unit of total risk. A higher Sharpe ratio is better, and the measure is used to compare portfolios with different levels of risk.

What to practice: Calculate and compare Sharpe ratios across multiple portfolios, identify which portfolio offers the best risk-adjusted return.

9. Effective Annual Rate (EAR)

EAR = (1 + Periodic Rate)^m - 1

Where m = number of compounding periods per year

The EAR converts any stated interest rate into its true annual equivalent, accounting for the frequency of compounding. This formula is essential for comparing financial products with different compounding frequencies — monthly mortgage payments versus annual bond yields, for example.

What to practice: Convert a stated rate to an EAR, compare two investment options with different compounding frequencies.

10. Hypothesis Testing: t-Statistic

t = (Sample Mean - Hypothesized Mean) / (Standard Error)

Where Standard Error = Standard Deviation / sqrt(n)

Hypothesis testing appears in Quantitative Methods and follows a structured process: state the null and alternative hypotheses, calculate the test statistic, compare to the critical value, and make a decision. The t-statistic is the most commonly tested version at Level 1.

What to practice: Set up a hypothesis test, calculate the t-statistic, determine whether to reject or fail to reject the null hypothesis at a given significance level.

How to Study Formulas Effectively

Reading formulas is not studying formulas. The only way to internalize them is through active recall and repeated application under time pressure.

For each formula on this list:

1. Write it from memory without looking
2. Solve at least 10 practice questions that use it
3. Understand what each variable represents and what happens when it changes
4. Practice under timed conditions — the exam gives you 90 seconds per question

Build a formula sheet as you study, but use it only to check yourself — not as a crutch during practice sessions. On exam day, you will not have it.

Final Thoughts

These 10 formulas are not the only ones you need to know for the CFA Level 1. They are the ones that appear most frequently and carry the most weight across multiple topics. Master these first, then fill in the rest of your formula knowledge around them.

The candidates who pass are not the ones who memorized every formula in the curriculum. They are the ones who could apply the most important formulas quickly and accurately under pressure.