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2027 CFA® Level 1 formula sheet

229 core formulas by subject and Module.

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Calculation: the typical practice question asks you to calculate with it. Concept: the typical question tests what it means or when it applies.

229 formulas

Quantitative Methods 71 formulas

Module 1 · Returns of Financial Assets and Instruments9 formulas

Total Return
Calculation
Parameters & lesson
Arithmetic Mean Return
Calculation
Parameters & lesson
Geometric Mean Return
Calculation
Parameters & lesson
Annualized Return
Calculation
Parameters & lesson
Logarithmic Return
Calculation
Parameters & lesson
Required Rate of Return
Calculation
Parameters & lesson
Excess Return
Calculation
Parameters & lesson
Real Return
Calculation
Parameters & lesson
Leveraged Return
Calculation
Parameters & lesson

Module 3 · Benchmarking Returns6 formulas

Time-Weighted Rate of Return
Calculation
Parameters & lesson
Money-Weighted Rate of Return
Calculation
Parameters & lesson
Market-Capitalization Weighting
Calculation
Parameters & lesson
Market-Capitalization-Weighted Index
Parameters & lesson
Price Weighting
Calculation
Parameters & lesson
Price-Weighted Index
Calculation
Parameters & lesson

Module 4 · The Time Value of Money in Finance7 formulas

Future Value
Calculation
Parameters & lesson
Coupon Bond
Calculation
Parameters & lesson
Perpetual Bond
Calculation
Parameters & lesson
Annuity Payment
Calculation
Parameters & lesson
Constant Dividend Growth
Calculation
Parameters & lesson
Two-Stage Dividend Growth
Calculation
Parameters & lesson
Cash Flow Additivity
Calculation
Parameters & lesson

Module 5 · Statistical Characteristics of Asset Returns8 formulas

Median
Calculation
Parameters & lesson
Mean Absolute Deviation
Calculation
Parameters & lesson
Population Variance
Calculation
Parameters & lesson
Sample Variance
Concept
Parameters & lesson
Covariance
Calculation
Parameters & lesson
Correlation
Calculation
Parameters & lesson
Target Downside Deviation
Calculation
Parameters & lesson
Coefficient of Variation
Calculation
Parameters & lesson

Module 6 · Statistical Distributions for Financial Asset Prices and Returns10 formulas

Unconditional Mean
Calculation
Parameters & lesson
Unconditional Variance
Calculation
Parameters & lesson
Unconditional Covariance
Calculation
Parameters & lesson
Binomial Distribution: Variance
Calculation
Parameters & lesson
Continuous Uniform Distribution: Variance
Calculation
Parameters & lesson
Log-Normal Distribution: Mean
Calculation
Parameters & lesson
Log-Normal Distribution: Variance
Parameters & lesson
Total-Expectation Rule
Calculation
Parameters & lesson
Joint Probability
Calculation
Parameters & lesson
Bayes' Formula
Calculation
Parameters & lesson

Module 7 · Estimation and Hypothesis Testing10 formulas

Standard Error of the Mean
Calculation
Parameters & lesson
Confidence Interval
Concept
Parameters & lesson
Value at Risk
Calculation
Parameters & lesson
t-Test for the Mean
Calculation
Parameters & lesson
Chi-Square Test for Variance
Calculation
Parameters & lesson
Test for the Difference in Means
Calculation
Parameters & lesson
Test of Paired Differences
Calculation
Parameters & lesson
F-Test for Variances
Calculation
Parameters & lesson
Test for Pearson Correlation
Calculation
Parameters & lesson
Chi-Square Test of Independence
Calculation
Parameters & lesson

Module 8 · The Return and Risk of a Financial Portfolio9 formulas

Portfolio Return
Calculation
Parameters & lesson
Portfolio Variance
Calculation
Parameters & lesson
Minimum-Variance Portfolio
Calculation
Parameters & lesson
Utility Function
Calculation
Parameters & lesson
Capital Allocation Line
Calculation
Parameters & lesson
Capital Market Line
Calculation
Parameters & lesson
Beta
Calculation
Parameters & lesson
Capital Asset Pricing Model
Calculation
Parameters & lesson
CAPM Estimation
Concept
Parameters & lesson

Module 9 · Simulation of Financial Asset Prices and Returns1 formula

Cholesky Decomposition
Calculation
Parameters & lesson

Module 10 · Applications of Simple Linear Regression in Finance11 formulas

Simple Linear Regression
Concept
Parameters & lesson
Slope Coefficient
Calculation
Parameters & lesson
Intercept Coefficient
Calculation
Parameters & lesson
Coefficient of Determination
Calculation
Parameters & lesson
F-Statistic
Calculation
Parameters & lesson
Standard Error of the Estimate
Calculation
Parameters & lesson
Hypothesis Test for the Slope Coefficient
Calculation
Parameters & lesson
Prediction Interval
Calculation
Parameters & lesson
Log-Lin Model
Calculation
Parameters & lesson
Lin-Log Model
Calculation
Parameters & lesson
Log-Log Model
Parameters & lesson

Economics 5 formulas

5 formulas · included with your free account

Module 4 · Monetary Policy1 formula

Neutral Rate
Calculation
Parameters & lesson

Module 7 · Capital Flows and the FX Market1 formula

Real Exchange Rate
Calculation
Parameters & lesson

Module 8 · Exchange Rate Calculations3 formulas

Cross-Rate Calculations
Calculation
Parameters & lesson
Forward Rate Calculations
Calculation
Parameters & lesson
Arbitrage Relationship
Calculation
Parameters & lesson

Corporate Finance 12 formulas

12 formulas · included with your free account

Module 4 · Working Capital and Liquidity5 formulas

Cash Conversion Cycle
Calculation
Parameters & lesson
Net Working Capital
Calculation
Parameters & lesson
Current Ratio
Calculation
Parameters & lesson
Quick Ratio
Calculation
Parameters & lesson
Cash Ratio
Calculation
Parameters & lesson

Module 5 · Capital Investments and Capital Allocation3 formulas

Net Present Value
Calculation
Parameters & lesson
Internal Rate of Return
Calculation
Parameters & lesson
Return on Invested Capital
Calculation
Parameters & lesson

Module 6 · Capital Structure4 formulas

Weighted-Average Cost of Capital
Calculation
Parameters & lesson
Interest Coverage
Calculation
Parameters & lesson
MM Proposition II with Taxes
Calculation
Parameters & lesson
Static Trade-Off Theory of Capital Structure
Calculation
Parameters & lesson

Financial Statement Analysis 27 formulas

27 formulas · included with your free account

Module 2 · Analyzing Income Statements5 formulas

Basic EPS
Calculation
Parameters & lesson
Diluted EPS — Convertible Preferred Stock
Calculation
Parameters & lesson
Diluted EPS — Convertible Debt
Calculation
Parameters & lesson
Diluted EPS — Treasury Stock Method
Calculation
Parameters & lesson
Gross profit margin
Calculation
Parameters & lesson

Module 3 · Analyzing Balance Sheets1 formula

Financial leverage
Calculation
Parameters & lesson

Module 5 · Analyzing Statements of Cash Flows II4 formulas

Free Cash Flow to the Firm
Calculation
Parameters & lesson
Free cash flow to equity
Calculation
Parameters & lesson
Cash flow per share
Calculation
Parameters & lesson
Cash return on assets
Calculation
Parameters & lesson

Module 7 · Analysis of Long-Term Assets1 formula

Estimate of remaining useful life
Calculation
Parameters & lesson

Module 9 · Analysis of Income Taxes1 formula

Income tax rate
Calculation
Parameters & lesson

Module 11 · Financial Analysis Techniques15 formulas

DuPont Analysis
Calculation
Parameters & lesson
Inventory turnover ratio
Calculation
Parameters & lesson
Receivables turnover
Calculation
Parameters & lesson
Days of sales outstanding (DSO)
Calculation
Parameters & lesson
Payables Turnover
Calculation
Parameters & lesson
Total asset turnover
Calculation
Parameters & lesson
Quick ratio
Calculation
Parameters & lesson
Cash ratio
Calculation
Parameters & lesson
Cash conversion cycle
Calculation
Parameters & lesson
Debt-to-assets ratio
Concept
Parameters & lesson
Debt-to-capital ratio
Calculation
Parameters & lesson
Interest coverage
Calculation
Parameters & lesson
Fixed charge coverage
Calculation
Parameters & lesson
Net profit margin
Calculation
Parameters & lesson
ROA
Calculation
Parameters & lesson

Equities 40 formulas

40 formulas · included with your free account

Module 3 · Equity Issuance and Trading1 formula

Turnover ratio
Calculation
Parameters & lesson

Module 4 · Sources of Equity Returns1 formula

Equity Holding Period Return
Calculation
Parameters & lesson

Module 5 · Introduction to Equity Valuation5 formulas

Scenario Analysis
Calculation
Parameters & lesson
Price-to-Book Ratio (P/B)
Concept
Parameters & lesson
Enterprise Value (EV)
Calculation
Parameters & lesson
EV Multiple
Calculation
Parameters & lesson
Price-to-Earnings Ratio (P/E)
Calculation
Parameters & lesson

Module 6 · Discounted Cash Flow (DCF) and Growth Models10 formulas

Present Value Models
Calculation
Parameters & lesson
Free Cash Flow to Equity
Calculation
Parameters & lesson
Free Cash Flow to the Firm
Calculation
Parameters & lesson
Residual Income per Share
Calculation
Parameters & lesson
Constant Growth Model
Calculation
Parameters & lesson
FCFF Sustainable Growth Rate
Calculation
Parameters & lesson
Two-Stage Growth Model
Calculation
Parameters & lesson
Weighted Average Cost of Capital (WACC)
Calculation
Parameters & lesson
FCFF Equity Valuation
Calculation
Parameters & lesson
Perpetual Preferred Stock Valuation
Calculation
Parameters & lesson

Module 7 · Relative Value Equity Valuation Approaches8 formulas

Sustainable Growth Rate
Calculation
Parameters & lesson
Justified Price-to-Book Multiple
Calculation
Parameters & lesson
Price/Earnings-to-Growth (PEG) Ratio
Calculation
Parameters & lesson
Present Value of Growth Opportunities
Calculation
Parameters & lesson
Justified Trailing P/E
Calculation
Parameters & lesson
Free Cash Flow to the Firm
Calculation
Parameters & lesson
Enterprise Value to Book
Parameters & lesson
Enterprise Value to Book Value of Capital
Calculation
Parameters & lesson

Module 8 · Financial Statement Forecasting in Equity Valuation2 formulas

Financing Needs
Calculation
Parameters & lesson
Fractional Ownership
Calculation
Parameters & lesson

Module 9 · Industry and Competitive Analysis1 formula

Herfindahl–Hirschmann Index (HHI)
Calculation
Parameters & lesson

Module 10 · Company Analysis: Past, Present, and Future3 formulas

Cash Conversion Cycle
Calculation
Parameters & lesson
Return on Invested Capital (ROIC)
Calculation
Parameters & lesson
Degree of Financial Leverage
Calculation
Parameters & lesson

Module 11 · Equity Analyst Research Reports1 formula

Long-Run FCFE Growth
Parameters & lesson

Module 12 · The Capital Asset Pricing Model, Market Model, and Other Factor-Based Equity Models8 formulas

Capital Asset Pricing Model (CAPM)
Calculation
Parameters & lesson
CAPM with Country Risk Premium
Calculation
Parameters & lesson
Beta
Calculation
Parameters & lesson
Adjusted Beta
Calculation
Parameters & lesson
Excess-Return Beta Regression
Concept
Parameters & lesson
Market Model
Calculation
Parameters & lesson
Relevered Firm Beta
Calculation
Parameters & lesson
Arbitrage Pricing Theory
Calculation
Parameters & lesson

Fixed Income 32 formulas

32 formulas · included with your free account

Module 2 · Fixed-Income Cash Flows and Types3 formulas

Amortizing Debt
Calculation
Parameters & lesson
Conversion Ratio
Concept
Parameters & lesson
Conversion Value
Calculation
Parameters & lesson

Module 4 · Fixed-Income Markets for Corporate Issuers1 formula

Haircut
Calculation
Parameters & lesson

Module 6 · Fixed-Income Bond Valuation: Prices and Yields4 formulas

Bond Price
Calculation
Parameters & lesson
Full Price
Calculation
Parameters & lesson
Accrued Interest
Calculation
Parameters & lesson
Full Price between Coupon Payments
Calculation
Parameters & lesson

Module 7 · Yield and Yield Spread Measures for Fixed-Rate Bonds4 formulas

Periodicity Conversion
Calculation
Parameters & lesson
Current Yield
Calculation
Parameters & lesson
Z-Spread
Calculation
Parameters & lesson
Option-Adjusted Spread
Calculation
Parameters & lesson

Module 8 · Yield and Yield Spread Measures for Floating-Rate Instruments3 formulas

Floating-Rate Note Price
Calculation
Parameters & lesson
Discount Rate
Calculation
Parameters & lesson
Add-On Rate
Calculation
Parameters & lesson

Module 9 · The Term Structure of Interest Rates: Spot, Par, and Forward Curves3 formulas

Bond Price Using Spot Rates
Calculation
Parameters & lesson
Par Rate
Calculation
Parameters & lesson
Implied Forward Rate
Calculation
Parameters & lesson

Module 10 · Interest Rate Risk and Return2 formulas

Duration Gap
Calculation
Parameters & lesson
Macaulay Duration
Calculation
Parameters & lesson

Module 11 · Yield-Based Bond Duration Measures and Properties6 formulas

Modified Duration
Calculation
Parameters & lesson
Approximate Modified Duration
Calculation
Parameters & lesson
Money Duration
Calculation
Parameters & lesson
Price Value of a Basis Point
Calculation
Parameters & lesson
Macaulay Duration of a Perpetuity
Calculation
Parameters & lesson
Macaulay Duration of a Floating-Rate Note
Calculation
Parameters & lesson

Module 12 · Yield-Based Bond Convexity and Portfolio Properties2 formulas

Price Change Using Duration and Convexity
Calculation
Parameters & lesson
Approximate Convexity
Calculation
Parameters & lesson

Module 13 · Curve-Based and Empirical Fixed-Income Risk Measures3 formulas

Effective Duration
Calculation
Parameters & lesson
Effective Convexity
Calculation
Parameters & lesson
Key Rate Duration
Calculation
Parameters & lesson

Module 14 · Credit Risk1 formula

Expected Loss
Calculation
Parameters & lesson

Derivatives 21 formulas

21 formulas · included with your free account

Module 2 · Forward Commitment and Contingent Claim Features and Instruments2 formulas

Call Option Value at Maturity
Calculation
Parameters & lesson
Long Put Option Payoff
Calculation
Parameters & lesson

Module 4 · Arbitrage, Replication, and the Cost of Carry in Pricing Derivatives3 formulas

Cost of Carry
Calculation
Parameters & lesson
Cost of Carry
Calculation
Parameters & lesson
Forward FX Price
Calculation
Parameters & lesson

Module 5 · Pricing and Valuation of Forward Contracts and for an Underlying with Varying Maturities5 formulas

Forward Contract Value at Maturity
Calculation
Parameters & lesson
Forward Contract MTM Value with Additional Costs or Benefits
Calculation
Parameters & lesson
FX Forward MTM Value
Concept
Parameters & lesson
Implied Forward Rate
Calculation
Parameters & lesson
Periodicity Conversion
Calculation
Parameters & lesson

Module 6 · Pricing and Valuation of Futures Contracts1 formula

Interest Rate Futures Price
Calculation
Parameters & lesson

Module 7 · Pricing and Valuation of Interest Rate and Other Swaps2 formulas

Par Swap Rate
Calculation
Parameters & lesson
Periodic Settlement Value
Calculation
Parameters & lesson

Module 8 · Pricing and Valuation of Options2 formulas

Call Option Upper and Lower Bounds
Calculation
Parameters & lesson
Put Option Upper and Lower Bounds
Calculation
Parameters & lesson

Module 9 · Option Replication Using Put–Call Parity2 formulas

Put–Call Parity
Calculation
Parameters & lesson
Put–Call Forward Parity
Calculation
Parameters & lesson

Module 10 · Valuing a Derivative Using a One-Period Binomial Model4 formulas

Hedge Ratio
Calculation
Parameters & lesson
Pricing a European Call Option
Calculation
Parameters & lesson
Risk-Neutral Pricing
Calculation
Parameters & lesson
Risk-Neutral Probability
Calculation
Parameters & lesson

Alternative Investments 7 formulas

7 formulas · included with your free account

Module 2 · Alternative Investment Performance and Returns6 formulas

Multiple of Invested Capital (MOIC)
Calculation
Parameters & lesson
Leveraged Rate of Return
Calculation
Parameters & lesson
GP's Return in Currency Terms
Parameters & lesson
Investor's Periodic Rate of Return
Calculation
Parameters & lesson
GP Return with a Hard Hurdle Rate
Calculation
Parameters & lesson
GP Return with a High-Water Mark
Concept
Parameters & lesson

Module 5 · Natural Resources1 formula

Commodity Forward Price
Calculation
Parameters & lesson

Portfolio Construction 14 formulas

14 formulas · included with your free account

Module 2 · Portfolio Risk and Return: Part II10 formulas

Beta
Calculation
Parameters & lesson
Capital Asset Pricing Model
Calculation
Parameters & lesson
Portfolio Beta
Parameters & lesson
Capital Market Line
Calculation
Parameters & lesson
Market Model
Calculation
Parameters & lesson
Decomposition of Total Risk
Calculation
Parameters & lesson
Sharpe Ratio
Calculation
Parameters & lesson
Treynor Ratio
Calculation
Parameters & lesson
M-squared
Calculation
Parameters & lesson
Jensen's Alpha
Calculation
Parameters & lesson

Module 4 · Basics of Portfolio Planning and Construction4 formulas

Expected Utility
Concept
Parameters & lesson
Portfolio Expected Return
Calculation
Parameters & lesson
Portfolio Risk
Calculation
Parameters & lesson
Covariance
Calculation
Parameters & lesson

Ethics is a judgment subject.

Practise identifying the relevant standard, the facts that matter, and the appropriate action.

About this reference

Quizara's 2027 CFA® Level I core formula sheet includes 229 main formulas and 38 supporting formulas, with parameters, conditions, related forms and source Modules. Use it alongside your lessons.

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CFA Level 1 formula sheet questions

Which formulas are included?

Explore 229 core formulas from Quizara's 2027 Level I formula library, with 38 supporting formulas, related forms, parameters, conditions and source Modules. Review each formula in its source lesson. The PDF includes the same collection.

What do Calculation and Concept mean?

Calculation: the typical practice question asks you to calculate with it. Concept: the typical question tests what it means or when it applies.

Do I need an account to read the formulas or get the PDF?

The first 71 formulas — all of Quantitative Methods — are free on this page without an account. A free Quizara account, with no card required, opens the remaining subjects here and we email you the complete PDF: every formula currently listed, with a contents page, parameters, conditions and sources. Sign up in a new tab and come back; the page unlocks in place.

Why are there no Ethics formulas?

Ethical and Professional Standards is a judgment subject: practise identifying the relevant standard, the facts that matter and the appropriate action.

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