2027 CFA® Level 1 formula sheet
229 core formulas by subject and Module.
Free account unlocks all 229 + the PDF
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
CalculationParameters & lesson
QM · Module 1 · Return components
Total Return
CalculationLoading formula details…
Arithmetic Mean Return
CalculationParameters & lesson
QM · Module 1 · Mean returns
Arithmetic Mean Return
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Geometric Mean Return
CalculationParameters & lesson
QM · Module 1 · Mean returns
Geometric Mean Return
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Annualized Return
CalculationParameters & lesson
QM · Module 1 · Annualization
Annualized Return
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Logarithmic Return
CalculationParameters & lesson
QM · Module 1 · Continuous compounding
Logarithmic Return
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Required Rate of Return
CalculationParameters & lesson
QM · Module 1 · Required return and risk premia
Required Rate of Return
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Excess Return
CalculationParameters & lesson
QM · Module 1 · Excess return
Excess Return
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Real Return
CalculationParameters & lesson
QM · Module 1 · Real return
Real Return
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Leveraged Return
CalculationParameters & lesson
QM · Module 1 · Leverage
Leveraged Return
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Module 3 · Benchmarking Returns6 formulas
Time-Weighted Rate of Return
CalculationParameters & lesson
QM · Module 3 · Weighted returns
Time-Weighted Rate of Return
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Money-Weighted Rate of Return
CalculationParameters & lesson
QM · Module 3 · Weighted returns
Money-Weighted Rate of Return
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Market-Capitalization Weighting
CalculationParameters & lesson
QM · Module 3 · Market capitalization
Market-Capitalization Weighting
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Market-Capitalization-Weighted Index
Parameters & lesson
QM · Module 3 · Market capitalization
Market-Capitalization-Weighted Index
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Price Weighting
CalculationParameters & lesson
QM · Module 3 · Price weighting
Price Weighting
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Price-Weighted Index
CalculationParameters & lesson
QM · Module 3 · Price weighting
Price-Weighted Index
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Module 4 · The Time Value of Money in Finance7 formulas
Future Value
CalculationParameters & lesson
QM · Module 4 · Time Value of Money
Future Value
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Coupon Bond
CalculationParameters & lesson
QM · Module 4 · Fixed income value
Coupon Bond
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Perpetual Bond
CalculationParameters & lesson
QM · Module 4 · Fixed income value
Perpetual Bond
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Annuity Payment
CalculationParameters & lesson
QM · Module 4 · Annuity payment
Annuity Payment
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Constant Dividend Growth
CalculationParameters & lesson
QM · Module 4 · Constant growth
Constant Dividend Growth
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Two-Stage Dividend Growth
CalculationParameters & lesson
QM · Module 4 · Changing growth
Two-Stage Dividend Growth
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Cash Flow Additivity
CalculationParameters & lesson
QM · Module 4 · Forward interest rate
Cash Flow Additivity
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Module 5 · Statistical Characteristics of Asset Returns8 formulas
Median
CalculationParameters & lesson
QM · Module 5 · Median
Median
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Mean Absolute Deviation
CalculationParameters & lesson
QM · Module 5 · Absolute dispersion
Mean Absolute Deviation
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Population Variance
CalculationParameters & lesson
QM · Module 5 · Population dispersion
Population Variance
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Sample Variance
ConceptParameters & lesson
QM · Module 5 · Sample dispersion
Sample Variance
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Covariance
CalculationParameters & lesson
QM · Module 5 · Covariance
Covariance
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Correlation
CalculationParameters & lesson
QM · Module 5 · Correlation
Correlation
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Target Downside Deviation
CalculationParameters & lesson
QM · Module 5 · Downside dispersion
Target Downside Deviation
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Coefficient of Variation
CalculationParameters & lesson
QM · Module 5 · Coefficient of variation
Coefficient of Variation
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Module 6 · Statistical Distributions for Financial Asset Prices and Returns10 formulas
Unconditional Mean
CalculationParameters & lesson
QM · Module 6 · Unconditional Mean
Unconditional Mean
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Unconditional Variance
CalculationParameters & lesson
QM · Module 6 · Unconditional variance
Unconditional Variance
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Unconditional Covariance
CalculationParameters & lesson
QM · Module 6 · Unconditional covariance
Unconditional Covariance
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Binomial Distribution: Variance
CalculationParameters & lesson
QM · Module 6 · Binomial
Binomial Distribution: Variance
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Continuous Uniform Distribution: Variance
CalculationParameters & lesson
QM · Module 6 · Continuous uniform
Continuous Uniform Distribution: Variance
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Log-Normal Distribution: Mean
CalculationParameters & lesson
QM · Module 6 · Lognormal
Log-Normal Distribution: Mean
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Log-Normal Distribution: Variance
Parameters & lesson
QM · Module 6 · Lognormal
Log-Normal Distribution: Variance
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Total-Expectation Rule
CalculationParameters & lesson
QM · Module 6 · Total expectation
Total-Expectation Rule
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Joint Probability
CalculationParameters & lesson
QM · Module 6 · Bayesian updating
Joint Probability
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Bayes' Formula
CalculationParameters & lesson
QM · Module 6 · Bayesian updating
Bayes' Formula
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Module 7 · Estimation and Hypothesis Testing10 formulas
Standard Error of the Mean
CalculationParameters & lesson
QM · Module 7 · Sampling mean
Standard Error of the Mean
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Confidence Interval
ConceptParameters & lesson
QM · Module 7 · Confidence interval
Confidence Interval
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Value at Risk
CalculationParameters & lesson
QM · Module 7 · Value at risk
Value at Risk
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t-Test for the Mean
CalculationParameters & lesson
QM · Module 7 · Single mean test
t-Test for the Mean
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Chi-Square Test for Variance
CalculationParameters & lesson
QM · Module 7 · Single variance test
Chi-Square Test for Variance
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Test for the Difference in Means
CalculationParameters & lesson
QM · Module 7 · Difference of means
Test for the Difference in Means
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Test of Paired Differences
CalculationParameters & lesson
QM · Module 7 · Paired differences
Test of Paired Differences
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F-Test for Variances
CalculationParameters & lesson
QM · Module 7 · Variance ratio
F-Test for Variances
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Test for Pearson Correlation
CalculationParameters & lesson
QM · Module 7 · Pearson test
Test for Pearson Correlation
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Chi-Square Test of Independence
CalculationParameters & lesson
QM · Module 7 · Contingency independence
Chi-Square Test of Independence
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Module 8 · The Return and Risk of a Financial Portfolio9 formulas
Portfolio Return
CalculationParameters & lesson
QM · Module 8 · Portfolio return
Portfolio Return
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Portfolio Variance
CalculationParameters & lesson
QM · Module 8 · Portfolio variance
Portfolio Variance
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Minimum-Variance Portfolio
CalculationParameters & lesson
QM · Module 8 · Minimum variance
Minimum-Variance Portfolio
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Utility Function
CalculationParameters & lesson
QM · Module 8 · Utility
Utility Function
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Capital Allocation Line
CalculationParameters & lesson
QM · Module 8 · Capital allocation line
Capital Allocation Line
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Capital Market Line
CalculationParameters & lesson
QM · Module 8 · Capital market line
Capital Market Line
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Beta
CalculationParameters & lesson
QM · Module 8 · Beta
Beta
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Capital Asset Pricing Model
CalculationParameters & lesson
QM · Module 8 · CAPM
Capital Asset Pricing Model
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CAPM Estimation
ConceptParameters & lesson
QM · Module 8 · CAPM estimation
CAPM Estimation
ConceptLoading formula details…
Module 9 · Simulation of Financial Asset Prices and Returns1 formula
Cholesky Decomposition
CalculationParameters & lesson
QM · Module 9 · Cholesky
Cholesky Decomposition
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Module 10 · Applications of Simple Linear Regression in Finance11 formulas
Simple Linear Regression
ConceptParameters & lesson
QM · Module 10 · Regression model
Simple Linear Regression
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Slope Coefficient
CalculationParameters & lesson
QM · Module 10 · Regression coefficients
Slope Coefficient
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Intercept Coefficient
CalculationParameters & lesson
QM · Module 10 · Regression coefficients
Intercept Coefficient
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Coefficient of Determination
CalculationParameters & lesson
QM · Module 10 · Coefficient of determination
Coefficient of Determination
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F-Statistic
CalculationParameters & lesson
QM · Module 10 · Regression f test
F-Statistic
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Standard Error of the Estimate
CalculationParameters & lesson
QM · Module 10 · Standard error of estimate
Standard Error of the Estimate
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Hypothesis Test for the Slope Coefficient
CalculationParameters & lesson
QM · Module 10 · Slope test
Hypothesis Test for the Slope Coefficient
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Prediction Interval
CalculationParameters & lesson
QM · Module 10 · Prediction interval
Prediction Interval
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Log-Lin Model
CalculationParameters & lesson
QM · Module 10 · Functional forms
Log-Lin Model
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Lin-Log Model
CalculationParameters & lesson
QM · Module 10 · Functional forms
Lin-Log Model
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Log-Log Model
Parameters & lesson
QM · Module 10 · Functional forms
Log-Log Model
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Economics 5 formulas
5 formulas · included with your free account
Module 4 · Monetary Policy1 formula
Neutral Rate
CalculationParameters & lesson
EC · Module 4 · Neutral Rate
Neutral Rate
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Module 7 · Capital Flows and the FX Market1 formula
Real Exchange Rate
CalculationParameters & lesson
EC · Module 7 · Real Exchange Rate
Real Exchange Rate
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Module 8 · Exchange Rate Calculations3 formulas
Cross-Rate Calculations
CalculationParameters & lesson
EC · Module 8 · Cross-Rate Calculations
Cross-Rate Calculations
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Forward Rate Calculations
CalculationParameters & lesson
EC · Module 8 · Forward Rate Calculations
Forward Rate Calculations
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Arbitrage Relationship
CalculationParameters & lesson
EC · Module 8 · Arbitrage Relationship
Arbitrage Relationship
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Corporate Finance 12 formulas
12 formulas · included with your free account
Module 4 · Working Capital and Liquidity5 formulas
Cash Conversion Cycle
CalculationParameters & lesson
CF · Module 4 · Cash Conversion Cycle
Cash Conversion Cycle
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Net Working Capital
CalculationParameters & lesson
CF · Module 4 · Total Working Capital
Net Working Capital
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Current Ratio
CalculationParameters & lesson
CF · Module 4 · Current Ratio
Current Ratio
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Quick Ratio
CalculationParameters & lesson
CF · Module 4 · Current Ratio
Quick Ratio
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Cash Ratio
CalculationParameters & lesson
CF · Module 4 · Current Ratio
Cash Ratio
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Module 5 · Capital Investments and Capital Allocation3 formulas
Net Present Value
CalculationParameters & lesson
CF · Module 5 · Net Present Value
Net Present Value
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Internal Rate of Return
CalculationParameters & lesson
CF · Module 5 · Internal Rate of Return
Internal Rate of Return
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Return on Invested Capital
CalculationParameters & lesson
CF · Module 5 · Return on Invested Capital
Return on Invested Capital
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Module 6 · Capital Structure4 formulas
Weighted-Average Cost of Capital
CalculationParameters & lesson
CF · Module 6 · Weighted-Average Cost of Capital
Weighted-Average Cost of Capital
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Interest Coverage
CalculationParameters & lesson
CF · Module 6 · Operating Leverage
Interest Coverage
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MM Proposition II with Taxes
CalculationParameters & lesson
CF · Module 6 · MM Proposition I with Corporate Taxes
MM Proposition II with Taxes
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Static Trade-Off Theory of Capital Structure
CalculationParameters & lesson
CF · Module 6 · Static Trade-Off Theory of Capital Structure
Static Trade-Off Theory of Capital Structure
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Financial Statement Analysis 27 formulas
27 formulas · included with your free account
Module 2 · Analyzing Income Statements5 formulas
Basic EPS
CalculationParameters & lesson
FSA · Module 2 · Basic EPS
Basic EPS
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Diluted EPS — Convertible Preferred Stock
CalculationParameters & lesson
FSA · Module 2 · Diluted EPS — Convertible Preferred Stock
Diluted EPS — Convertible Preferred Stock
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Diluted EPS — Convertible Debt
CalculationParameters & lesson
FSA · Module 2 · Diluted EPS — Convertible Preferred Stock
Diluted EPS — Convertible Debt
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Diluted EPS — Treasury Stock Method
CalculationParameters & lesson
FSA · Module 2 · Diluted EPS — Treasury Stock Method
Diluted EPS — Treasury Stock Method
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Gross profit margin
CalculationParameters & lesson
FSA · Module 2 · Gross profit margin
Gross profit margin
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Module 3 · Analyzing Balance Sheets1 formula
Financial leverage
CalculationParameters & lesson
FSA · Module 3 · Financial leverage
Financial leverage
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Module 5 · Analyzing Statements of Cash Flows II4 formulas
Free Cash Flow to the Firm
CalculationParameters & lesson
FSA · Module 5 · Free cash flow to the firm
Free Cash Flow to the Firm
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Free cash flow to equity
CalculationParameters & lesson
FSA · Module 5 · Free cash flow to the firm
Free cash flow to equity
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Cash flow per share
CalculationParameters & lesson
FSA · Module 5 · Cash flow per share
Cash flow per share
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Cash return on assets
CalculationParameters & lesson
FSA · Module 5 · Cash flow per share
Cash return on assets
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Module 7 · Analysis of Long-Term Assets1 formula
Estimate of remaining useful life
CalculationParameters & lesson
FSA · Module 7 · Estimate of remaining useful life
Estimate of remaining useful life
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Module 9 · Analysis of Income Taxes1 formula
Income tax rate
CalculationParameters & lesson
FSA · Module 9 · Income tax rate
Income tax rate
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Module 11 · Financial Analysis Techniques15 formulas
DuPont Analysis
CalculationParameters & lesson
FSA · Module 11 · DuPont Analysis
DuPont Analysis
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Inventory turnover ratio
CalculationParameters & lesson
FSA · Module 11 · Inventory turnover ratio
Inventory turnover ratio
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Receivables turnover
CalculationParameters & lesson
FSA · Module 11 · Receivables turnover
Receivables turnover
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Days of sales outstanding (DSO)
CalculationParameters & lesson
FSA · Module 11 · Receivables turnover
Days of sales outstanding (DSO)
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Payables Turnover
CalculationParameters & lesson
FSA · Module 11 · Payables Activity
Payables Turnover
CalculationLoading formula details…
Total asset turnover
CalculationParameters & lesson
FSA · Module 11 · Total asset turnover
Total asset turnover
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Quick ratio
CalculationParameters & lesson
FSA · Module 11 · Quick ratio
Quick ratio
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Cash ratio
CalculationParameters & lesson
FSA · Module 11 · Quick ratio
Cash ratio
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Cash conversion cycle
CalculationParameters & lesson
FSA · Module 11 · Cash conversion cycle
Cash conversion cycle
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Debt-to-assets ratio
ConceptParameters & lesson
FSA · Module 11 · Debt-to-assets ratio
Debt-to-assets ratio
ConceptLoading formula details…
Debt-to-capital ratio
CalculationParameters & lesson
FSA · Module 11 · Debt-to-assets ratio
Debt-to-capital ratio
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Interest coverage
CalculationParameters & lesson
FSA · Module 11 · Interest coverage
Interest coverage
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Fixed charge coverage
CalculationParameters & lesson
FSA · Module 11 · Interest coverage
Fixed charge coverage
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Net profit margin
CalculationParameters & lesson
FSA · Module 11 · Net profit margin
Net profit margin
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ROA
CalculationParameters & lesson
FSA · Module 11 · Net profit margin
ROA
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Equities 40 formulas
40 formulas · included with your free account
Module 3 · Equity Issuance and Trading1 formula
Turnover ratio
CalculationParameters & lesson
EQ · Module 3 · Market float
Turnover ratio
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Module 4 · Sources of Equity Returns1 formula
Equity Holding Period Return
CalculationParameters & lesson
EQ · Module 4 · Realized rate of return
Equity Holding Period Return
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Module 5 · Introduction to Equity Valuation5 formulas
Scenario Analysis
CalculationParameters & lesson
EQ · Module 5 · Scenario Analysis
Scenario Analysis
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Price-to-Book Ratio (P/B)
ConceptParameters & lesson
EQ · Module 5 · Book Value of Equity per Share
Price-to-Book Ratio (P/B)
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Enterprise Value (EV)
CalculationParameters & lesson
EQ · Module 5 · Enterprise Value (EV)
Enterprise Value (EV)
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EV Multiple
CalculationParameters & lesson
EQ · Module 5 · Enterprise Value (EV)
EV Multiple
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Price-to-Earnings Ratio (P/E)
CalculationParameters & lesson
EQ · Module 5 · Price-to-Earnings Ratio (P/E)
Price-to-Earnings Ratio (P/E)
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Module 6 · Discounted Cash Flow (DCF) and Growth Models10 formulas
Present Value Models
CalculationParameters & lesson
EQ · Module 6 · Present Value Models
Present Value Models
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Free Cash Flow to Equity
CalculationParameters & lesson
EQ · Module 6 · Free Cash Flow to Equity
Free Cash Flow to Equity
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Free Cash Flow to the Firm
CalculationParameters & lesson
EQ · Module 6 · Free Cash Flow to the Firm
Free Cash Flow to the Firm
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Residual Income per Share
CalculationParameters & lesson
EQ · Module 6 · Residual Income per Share
Residual Income per Share
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Constant Growth Model
CalculationParameters & lesson
EQ · Module 6 · Constant Growth Model
Constant Growth Model
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FCFF Sustainable Growth Rate
CalculationParameters & lesson
EQ · Module 6 · FCFF Sustainable Growth Rate
FCFF Sustainable Growth Rate
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Two-Stage Growth Model
CalculationParameters & lesson
EQ · Module 6 · Multistage Growth Model
Two-Stage Growth Model
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Weighted Average Cost of Capital (WACC)
CalculationParameters & lesson
EQ · Module 6 · Weighted Average Cost of Capital (WACC)
Weighted Average Cost of Capital (WACC)
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FCFF Equity Valuation
CalculationParameters & lesson
EQ · Module 6 · FCFF Equity Valuation
FCFF Equity Valuation
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Perpetual Preferred Stock Valuation
CalculationParameters & lesson
EQ · Module 6 · Preferred Stock Valuation
Perpetual Preferred Stock Valuation
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Module 7 · Relative Value Equity Valuation Approaches8 formulas
Sustainable Growth Rate
CalculationParameters & lesson
EQ · Module 7 · Dividend Constant Growth Model
Sustainable Growth Rate
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Justified Price-to-Book Multiple
CalculationParameters & lesson
EQ · Module 7 · Dividend Constant Growth Model
Justified Price-to-Book Multiple
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Price/Earnings-to-Growth (PEG) Ratio
CalculationParameters & lesson
EQ · Module 7 · Price/Earnings-to-Growth (PEG) Ratio
Price/Earnings-to-Growth (PEG) Ratio
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Present Value of Growth Opportunities
CalculationParameters & lesson
EQ · Module 7 · Equity Value with No Growth Opportunities
Present Value of Growth Opportunities
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Justified Trailing P/E
CalculationParameters & lesson
EQ · Module 7 · Justified Trailing P/E
Justified Trailing P/E
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Free Cash Flow to the Firm
CalculationParameters & lesson
EQ · Module 7 · Enterprise Value
Free Cash Flow to the Firm
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Enterprise Value to Book
Parameters & lesson
EQ · Module 7 · Value to Book
Enterprise Value to Book
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Enterprise Value to Book Value of Capital
CalculationParameters & lesson
EQ · Module 7 · Free Cash Flow to the Firm
Enterprise Value to Book Value of Capital
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Module 8 · Financial Statement Forecasting in Equity Valuation2 formulas
Financing Needs
CalculationParameters & lesson
EQ · Module 8 · Financing Needs
Financing Needs
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Fractional Ownership
CalculationParameters & lesson
EQ · Module 8 · Pre-money Valuation
Fractional Ownership
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Module 9 · Industry and Competitive Analysis1 formula
Herfindahl–Hirschmann Index (HHI)
CalculationParameters & lesson
EQ · Module 9 · Herfindahl–Hirschmann Index (HHI)
Herfindahl–Hirschmann Index (HHI)
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Module 10 · Company Analysis: Past, Present, and Future3 formulas
Cash Conversion Cycle
CalculationParameters & lesson
EQ · Module 10 · Cash Conversion Cycle
Cash Conversion Cycle
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Return on Invested Capital (ROIC)
CalculationParameters & lesson
EQ · Module 10 · Return on Invested Capital (ROIC)
Return on Invested Capital (ROIC)
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Degree of Financial Leverage
CalculationParameters & lesson
EQ · Module 10 · Degree of Financial Leverage
Degree of Financial Leverage
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Module 11 · Equity Analyst Research Reports1 formula
Long-Run FCFE Growth
Parameters & lesson
EQ · Module 11 · Free Cash Flow to Equity
Long-Run FCFE Growth
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Module 12 · The Capital Asset Pricing Model, Market Model, and Other Factor-Based Equity Models8 formulas
Capital Asset Pricing Model (CAPM)
CalculationParameters & lesson
EQ · Module 12 · Capital Asset Pricing Model (CAPM)
Capital Asset Pricing Model (CAPM)
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CAPM with Country Risk Premium
CalculationParameters & lesson
EQ · Module 12 · Capital Asset Pricing Model (CAPM)
CAPM with Country Risk Premium
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Beta
CalculationParameters & lesson
EQ · Module 12 · Beta
Beta
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Adjusted Beta
CalculationParameters & lesson
EQ · Module 12 · Beta
Adjusted Beta
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Excess-Return Beta Regression
ConceptParameters & lesson
EQ · Module 12 · Excess-Return Beta Regression
Excess-Return Beta Regression
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Market Model
CalculationParameters & lesson
EQ · Module 12 · Market Model
Market Model
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Relevered Firm Beta
CalculationParameters & lesson
EQ · Module 12 · Unlevered Beta
Relevered Firm Beta
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Arbitrage Pricing Theory
CalculationParameters & lesson
EQ · Module 12 · Arbitrage Pricing Theory
Arbitrage Pricing Theory
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Fixed Income 32 formulas
32 formulas · included with your free account
Module 2 · Fixed-Income Cash Flows and Types3 formulas
Amortizing Debt
CalculationParameters & lesson
FI · Module 2 · Periodic Payment
Amortizing Debt
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Conversion Ratio
ConceptParameters & lesson
FI · Module 2 · Conversion Ratio
Conversion Ratio
ConceptLoading formula details…
Conversion Value
CalculationParameters & lesson
FI · Module 2 · Conversion Ratio
Conversion Value
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Module 4 · Fixed-Income Markets for Corporate Issuers1 formula
Haircut
CalculationParameters & lesson
FI · Module 4 · Initial Margin
Haircut
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Module 6 · Fixed-Income Bond Valuation: Prices and Yields4 formulas
Bond Price
CalculationParameters & lesson
FI · Module 6 · Present Value of a Bond Coupon
Bond Price
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Full Price
CalculationParameters & lesson
FI · Module 6 · Full Price
Full Price
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Accrued Interest
CalculationParameters & lesson
FI · Module 6 · Full Price
Accrued Interest
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Full Price between Coupon Payments
CalculationParameters & lesson
FI · Module 6 · Full Price
Full Price between Coupon Payments
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Module 7 · Yield and Yield Spread Measures for Fixed-Rate Bonds4 formulas
Periodicity Conversion
CalculationParameters & lesson
FI · Module 7 · Periodicity Conversion
Periodicity Conversion
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Current Yield
CalculationParameters & lesson
FI · Module 7 · Current Yield
Current Yield
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Z-Spread
CalculationParameters & lesson
FI · Module 7 · Z-Spread
Z-Spread
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Option-Adjusted Spread
CalculationParameters & lesson
FI · Module 7 · Z-Spread
Option-Adjusted Spread
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Module 8 · Yield and Yield Spread Measures for Floating-Rate Instruments3 formulas
Floating-Rate Note Price
CalculationParameters & lesson
FI · Module 8 · Floating-Rate Note Price
Floating-Rate Note Price
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Discount Rate
CalculationParameters & lesson
FI · Module 8 · Discount-Rate Pricing
Discount Rate
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Add-On Rate
CalculationParameters & lesson
FI · Module 8 · Add-On-Rate Pricing
Add-On Rate
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Module 9 · The Term Structure of Interest Rates: Spot, Par, and Forward Curves3 formulas
Bond Price Using Spot Rates
CalculationParameters & lesson
FI · Module 9 · Bond Price Using Spot Rates
Bond Price Using Spot Rates
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Par Rate
CalculationParameters & lesson
FI · Module 9 · Par Rate
Par Rate
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Implied Forward Rate
CalculationParameters & lesson
FI · Module 9 · Par Rate
Implied Forward Rate
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Module 10 · Interest Rate Risk and Return2 formulas
Duration Gap
CalculationParameters & lesson
FI · Module 10 · Duration Gap
Duration Gap
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Macaulay Duration
CalculationParameters & lesson
FI · Module 10 · Macaulay Duration
Macaulay Duration
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Module 11 · Yield-Based Bond Duration Measures and Properties6 formulas
Modified Duration
CalculationParameters & lesson
FI · Module 11 · Modified Duration
Modified Duration
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Approximate Modified Duration
CalculationParameters & lesson
FI · Module 11 · Modified Duration
Approximate Modified Duration
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Money Duration
CalculationParameters & lesson
FI · Module 11 · Money Duration
Money Duration
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Price Value of a Basis Point
CalculationParameters & lesson
FI · Module 11 · Price Value of a Basis Point
Price Value of a Basis Point
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Macaulay Duration of a Perpetuity
CalculationParameters & lesson
FI · Module 11 · Macaulay Duration of a Perpetuity
Macaulay Duration of a Perpetuity
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Macaulay Duration of a Floating-Rate Note
CalculationParameters & lesson
FI · Module 11 · Macaulay Duration of a Perpetuity
Macaulay Duration of a Floating-Rate Note
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Module 12 · Yield-Based Bond Convexity and Portfolio Properties2 formulas
Price Change Using Duration and Convexity
CalculationParameters & lesson
FI · Module 12 · Price Change Using Duration and Convexity
Price Change Using Duration and Convexity
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Approximate Convexity
CalculationParameters & lesson
FI · Module 12 · Approximate Convexity
Approximate Convexity
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Module 13 · Curve-Based and Empirical Fixed-Income Risk Measures3 formulas
Effective Duration
CalculationParameters & lesson
FI · Module 13 · Effective Duration
Effective Duration
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Effective Convexity
CalculationParameters & lesson
FI · Module 13 · Effective Duration
Effective Convexity
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Key Rate Duration
CalculationParameters & lesson
FI · Module 13 · Key Rate Duration
Key Rate Duration
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Module 14 · Credit Risk1 formula
Expected Loss
CalculationParameters & lesson
FI · Module 14 · Expected Loss
Expected Loss
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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
CalculationParameters & lesson
DER · Module 2 · Call Option Buyer's Profit
Call Option Value at Maturity
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Long Put Option Payoff
CalculationParameters & lesson
DER · Module 2 · Long Put Option Profit
Long Put Option Payoff
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Module 4 · Arbitrage, Replication, and the Cost of Carry in Pricing Derivatives3 formulas
Cost of Carry
CalculationParameters & lesson
DER · Module 4 · Cost of Carry
Cost of Carry
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Cost of Carry
CalculationParameters & lesson
DER · Module 4 · Cost of Carry
Cost of Carry
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Forward FX Price
CalculationParameters & lesson
DER · Module 4 · Forward FX Price
Forward FX Price
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Module 5 · Pricing and Valuation of Forward Contracts and for an Underlying with Varying Maturities5 formulas
Forward Contract Value at Maturity
CalculationParameters & lesson
DER · Module 5 · Forward Contract Value at Maturity
Forward Contract Value at Maturity
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Forward Contract MTM Value with Additional Costs or Benefits
CalculationParameters & lesson
DER · Module 5 · Forward Contract MTM Value
Forward Contract MTM Value with Additional Costs or Benefits
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FX Forward MTM Value
ConceptParameters & lesson
DER · Module 5 · FX Forward MTM Value
FX Forward MTM Value
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Implied Forward Rate
CalculationParameters & lesson
DER · Module 5 · Implied Forward Rate
Implied Forward Rate
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Periodicity Conversion
CalculationParameters & lesson
DER · Module 5 · Annual Percentage Rate
Periodicity Conversion
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Module 6 · Pricing and Valuation of Futures Contracts1 formula
Interest Rate Futures Price
CalculationParameters & lesson
DER · Module 6 · Interest Rate Futures Price
Interest Rate Futures Price
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Module 7 · Pricing and Valuation of Interest Rate and Other Swaps2 formulas
Par Swap Rate
CalculationParameters & lesson
DER · Module 7 · Par Swap Rate
Par Swap Rate
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Periodic Settlement Value
CalculationParameters & lesson
DER · Module 7 · Periodic Settlement Value
Periodic Settlement Value
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Module 8 · Pricing and Valuation of Options2 formulas
Call Option Upper and Lower Bounds
CalculationParameters & lesson
DER · Module 8 · Call Option Upper and Lower Bounds
Call Option Upper and Lower Bounds
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Put Option Upper and Lower Bounds
CalculationParameters & lesson
DER · Module 8 · Put Option Upper and Lower Bounds
Put Option Upper and Lower Bounds
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Module 9 · Option Replication Using Put–Call Parity2 formulas
Put–Call Parity
CalculationParameters & lesson
DER · Module 9 · Put–Call Parity
Put–Call Parity
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Put–Call Forward Parity
CalculationParameters & lesson
DER · Module 9 · Put–Call Forward Parity
Put–Call Forward Parity
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Module 10 · Valuing a Derivative Using a One-Period Binomial Model4 formulas
Hedge Ratio
CalculationParameters & lesson
DER · Module 10 · Hedge Ratio
Hedge Ratio
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Pricing a European Call Option
CalculationParameters & lesson
DER · Module 10 · Hedge Ratio
Pricing a European Call Option
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Risk-Neutral Pricing
CalculationParameters & lesson
DER · Module 10 · Risk-Neutral Pricing
Risk-Neutral Pricing
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Risk-Neutral Probability
CalculationParameters & lesson
DER · Module 10 · Risk-Neutral Pricing
Risk-Neutral Probability
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Alternative Investments 7 formulas
7 formulas · included with your free account
Module 2 · Alternative Investment Performance and Returns6 formulas
Multiple of Invested Capital (MOIC)
CalculationParameters & lesson
ALT · Module 2 · Multiple of Invested Capital (MOIC)
Multiple of Invested Capital (MOIC)
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Leveraged Rate of Return
CalculationParameters & lesson
ALT · Module 2 · Leveraged Rate of Return
Leveraged Rate of Return
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GP's Return in Currency Terms
Parameters & lesson
ALT · Module 2 · GP's Return in Currency Terms
GP's Return in Currency Terms
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Investor's Periodic Rate of Return
CalculationParameters & lesson
ALT · Module 2 · GP's Return in Currency Terms
Investor's Periodic Rate of Return
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GP Return with a Hard Hurdle Rate
CalculationParameters & lesson
ALT · Module 2 · GP's Return in Currency Terms
GP Return with a Hard Hurdle Rate
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GP Return with a High-Water Mark
ConceptParameters & lesson
ALT · Module 2 · GP's Return in Currency Terms
GP Return with a High-Water Mark
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Module 5 · Natural Resources1 formula
Commodity Forward Price
CalculationParameters & lesson
ALT · Module 5 · Commodity Forward Price
Commodity Forward Price
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Portfolio Construction 14 formulas
14 formulas · included with your free account
Module 2 · Portfolio Risk and Return: Part II10 formulas
Beta
CalculationParameters & lesson
PM · Module 2 · Beta
Beta
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Capital Asset Pricing Model
CalculationParameters & lesson
PM · Module 2 · Capital Asset Pricing Model
Capital Asset Pricing Model
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Portfolio Beta
Parameters & lesson
PM · Module 2 · Capital Asset Pricing Model
Portfolio Beta
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Capital Market Line
CalculationParameters & lesson
PM · Module 2 · Capital Market Line
Capital Market Line
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Market Model
CalculationParameters & lesson
PM · Module 2 · Market Model
Market Model
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Decomposition of Total Risk
CalculationParameters & lesson
PM · Module 2 · Market Model
Decomposition of Total Risk
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Sharpe Ratio
CalculationParameters & lesson
PM · Module 2 · Sharpe Ratio
Sharpe Ratio
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Treynor Ratio
CalculationParameters & lesson
PM · Module 2 · Sharpe Ratio
Treynor Ratio
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M-squared
CalculationParameters & lesson
PM · Module 2 · Sharpe Ratio
M-squared
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Jensen's Alpha
CalculationParameters & lesson
PM · Module 2 · Sharpe Ratio
Jensen's Alpha
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Module 4 · Basics of Portfolio Planning and Construction4 formulas
Expected Utility
ConceptParameters & lesson
PM · Module 4 · Expected Utility
Expected Utility
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Portfolio Expected Return
CalculationParameters & lesson
PM · Module 4 · Portfolio Expected Return
Portfolio Expected Return
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Portfolio Risk
CalculationParameters & lesson
PM · Module 4 · Portfolio Risk
Portfolio Risk
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Covariance
CalculationParameters & lesson
PM · Module 4 · Portfolio Risk
Covariance
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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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