Study guide
9.4 Risk & Performance Measures
Series 65 Uniform Investment Adviser Law
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1 Introduction
About the Series 65 How to Use This Guide
2 Chapter 1: Economic Factors & Business Cycles
1.1 Business Cycles 1.2 Monetary Policy 1.3 Fiscal Policy 1.4 Inflation & Deflation 1.5 Interest Rates & Yield Curves 1.6 Global Economic Factors
3 Chapter 2: Financial Reporting & Analytical Methods
2.1 Financial Statements Overview 2.2 Accounting Fundamentals 2.3 SEC Filings & Annual Reports 2.4 Financial Ratios 2.5 Time Value of Money 2.6 IRR and NPV 2.7 Descriptive Statistics
4 Chapter 3: Types of Risk
3.1 Systematic (Market) Risk 3.2 Unsystematic (Company-Specific) Risk 3.3 Interest Rate & Reinvestment Risk 3.4 Inflation & Currency Risk 3.5 Liquidity Risk & Opportunity Cost 3.6 Risk Measurement & Portfolio Theory
5 Chapter 4: Cash Equivalents & Fixed Income Securities
4.1 Cash & Cash Equivalents 4.2 Treasury Securities 4.3 Agency Securities 4.4 Corporate Bonds 4.5 Municipal Bonds 4.6 Bond Pricing & Yields
6 Chapter 5: Equity Securities
5.1 Common Stock 5.2 Preferred Stock 5.3 Shareholder Rights & Corporate Actions 5.4 Equity Valuation Methods 5.5 ADRs, REITs & Other Equity Securities
7 Chapter 6: Pooled Investments
6.1 Mutual Funds 6.2 Mutual Fund Costs & Fees 6.3 Exchange-Traded Funds (ETFs) 6.4 Closed-End Funds & UITs 6.5 Hedge Funds & Private Equity
8 Chapter 7: Derivatives, Alternative Investments & Insurance Products
7.1 Options Basics 7.2 Options Strategies 7.3 Alternative Investments 7.4 Annuities 7.5 Life Insurance Products
9 Chapter 8: Client Types & Profiles
8.1 Individual Clients 8.2 Business Entity Clients 8.3 Trusts & Estates 8.4 Accredited & Qualified Investors 8.5 Suitability & Know Your Customer
10 Chapter 9: Portfolio Theory & Capital Markets
9.1 Modern Portfolio Theory 9.2 Capital Asset Pricing Model (CAPM) 9.3 Efficient Market Hypothesis 9.4 Risk & Performance Measures 9.5 Asset Allocation
11 Chapter 10: Portfolio Management Strategies
10.1 Investment Styles 10.2 Portfolio Management Techniques 10.3 Fixed Income Strategies 10.4 Return Calculations
12 Chapter 11: Tax Considerations & Retirement Planning
11.1 Capital Gains & Investment Taxes 11.2 Retirement Plans Overview 11.3 Individual Retirement Accounts (IRAs) 11.4 Education Savings Plans 11.5 Distributions & RMDs
13 Chapter 12: ERISA, Special Accounts & Performance Measures
12.1 ERISA Requirements 12.2 Special Account Types 12.3 Performance Measures & Reporting 12.4 QDROs & Special Situations
14 Chapter 13: Regulation of Investment Advisers
13.1 Investment Advisers Act of 1940 13.2 Registration Requirements 13.3 Recordkeeping Requirements 13.4 Custody Requirements 13.5 Exempt Reporting Advisers
15 Chapter 14: Regulation of Investment Adviser Representatives
14.1 IAR Definition & Requirements 14.2 Registration & Post-Registration 14.3 IARs of Federal Covered Advisers
16 Chapter 15: Regulation of Broker-Dealers & Agents
15.1 Broker-Dealer Definition 15.2 Agent Registration 15.3 Regulation Best Interest
17 Chapter 16: Securities Registration & Exemptions
16.1 Uniform Securities Act 16.2 Securities Registration Methods 16.3 Exempt Securities 16.4 Exempt Transactions
18 Chapter 17: Communications & Client Relationships
17.1 Advertising Rules 17.2 Social Media & Electronic Communications 17.3 Client Agreements & Disclosure 17.4 Proxy Voting & Other Obligations
19 Chapter 18: Ethics & Fiduciary Obligations
18.1 Fiduciary Duties 18.2 Prohibited Practices 18.3 Senior & Vulnerable Adult Protection 18.4 AML & Compliance Programs
9.4 Risk & Performance Measures
Key Takeaways Explain This Topic AI
Standard deviation measures total risk; beta measures systematic risk.
R-squared shows how much a benchmark explains portfolio movement.
Alpha measures performance relative to expected returns.
Sharpe uses total risk and suits standalone portfolios.
Treynor uses beta and suits diversified portfolios.
Higher ratios indicate better risk-adjusted performance.
Last updated: December 2025
Investment advisers use various metrics to evaluate portfolio risk and performance. Understanding these measures is essential for client reporting, manager evaluation, and investment selection.
- Risk Measures
- Standard Deviation
- What it measures : Total volatility (dispersion of returns around the mean)
- Feature Description
- Risk Type Total risk (systematic + unsystematic)
- Higher Value More volatile, riskier
- Lower Value Less volatile, more stable
- Best For Comparing undiversified portfolios
Interpretation Example :
- Fund A: 10% return, 8% standard deviation
- Fund B: 10% return, 20% standard deviation
- Fund A is less risky with the same return
- Beta (β)
- What it measures : Sensitivity to market movements (systematic risk)
- Feature Description
- Risk Type Systematic risk only
- Benchmark Market portfolio (β = 1)
- Higher Value More market-sensitive
- Best For Comparing diversified portfolios
- R-Squared (R²)
- What it measures : How much of a portfolio's movements are explained by the benchmark
- R² Value Interpretation
- 100% Perfectly tracks benchmark (index fund)
- 80-99% Highly correlated with benchmark
- 50-79% Moderately correlated
- < 50% Benchmark not representative of the portfolio
Important : R² determines whether beta is meaningful. If R² is low, beta is unreliable.
- Performance Measures
- Alpha (Jensen's Alpha)
What it measures : Excess return above what CAPM predicts—manager skill α = R p − [ R f + β ( R m − R f ) ] \alpha = R_p - [R_f + \beta (R_m - R_f)] α = R p − [ R f + β ( R m − R f )]
Where R p R_p R p = Actual Portfolio Return
- Alpha Value Interpretation
- Positive Outperformed expectations—value added
- Zero Performed as expected for risk level
- Negative Underperformed expectations—value destroyed
Example :
- Actual return: 14%
- Risk-free rate: 3%
- Market return: 10%
- Beta: 1.2
Expected return = 3 % + 1.2 × ( 10 % − 3 % ) = 11.4 % 3\% + 1.2 \times (10\% - 3\%) = 11.4\% 3% + 1.2 × ( 10% − 3% ) = 11.4%
- α = 14 % − 11.4 % = \alpha = 14\% - 11.4\% = α = 14% − 11.4% = +2.6% (outperformed)
- Sharpe Ratio
What it measures : Excess return per unit of total risk (standard deviation) Sharpe Ratio = R p − R f σ p \text{Sharpe Ratio} = \frac{R_p - R_f}{\sigma_p} Sharpe Ratio = σ p R p − R f
Where σ p \sigma_p σ p = Portfolio Standard Deviation
- Feature Description
- Risk Measure Total risk (standard deviation)
- Higher Value Better risk-adjusted performance
- Best For Undiversified portfolios (total risk matters)
- Interpretation Return earned per unit of total risk
Example :
- Portfolio return: 12%
- Risk-free rate: 2%
Standard deviation: 20% Sharpe Ratio = 12 % − 2 % 20 % = 10 % 20 % = 0.50 \text{Sharpe Ratio} = \frac{12\% - 2\%}{20\%} = \frac{10\%}{20\%} = \mathbf{0.50} Sharpe Ratio = 20% 12% − 2% = 20% 10% = 0.50
Treynor Ratio
What it measures : Excess return per unit of systematic risk (beta) Treynor Ratio = R p − R f β p \text{Treynor Ratio} = \frac{R_p - R_f}{\beta_p} Treynor Ratio = β p R p − R f
Where β p \beta_p β p = Portfolio Beta
- Feature Description
- Risk Measure Systematic risk (beta)
- Higher Value Better risk-adjusted performance
- Best For Diversified portfolios (unsystematic risk eliminated)
- Interpretation Return earned per unit of market risk
Example :
- Portfolio return: 12%
- Risk-free rate: 2%
Beta: 1.25 Treynor Ratio = 12 % − 2 % 1.25 = 10 % 1.25 = 8.0 \text{Treynor Ratio} = \frac{12\% - 2\%}{1.25} = \frac{10\%}{1.25} = \mathbf{8.0} Treynor Ratio = 1.25 12% − 2% = 1.25 10% = 8.0
Comparing Sharpe and Treynor
- Feature Sharpe Ratio Treynor Ratio
- Risk Measure Standard deviation (total) Beta (systematic)
- Best For Undiversified portfolios Diversified portfolios
- When to Use Evaluating standalone investments Evaluating portfolio components
- Assumption All risk matters Only systematic risk matters
- Decision Rule
- If the portfolio is the investor's ONLY holding → Use Sharpe (total risk exposure)
- If the portfolio is ONE OF MANY holdings → Use Treynor (only systematic risk matters due to diversification)
- Information Ratio
What it measures : Active return per unit of tracking error (consistency of outperformance) Information Ratio = R p − R b Tracking Error \text{Information Ratio} = \frac{R_p - R_b}{\text{Tracking Error}} Information Ratio = Tracking Error R p − R b
Where:
- R b R_b R b = Benchmark Return
- Tracking Error = standard deviation of the difference between portfolio and benchmark returns
- Feature Description
- Purpose Evaluate active managers
- Higher Value More consistent outperformance
Interpretation How reliably does the manager beat the benchmark?
Summary Comparison
- Measure What It Measures Risk Used Best For
- Standard Deviation Total volatility — Risk comparison
- Beta Market sensitivity — Systematic risk
- R-Squared Benchmark correlation — Beta reliability
- Alpha Manager skill Beta Performance attribution
- Sharpe Ratio Risk-adjusted return Std Dev Undiversified portfolios
- Treynor Ratio Risk-adjusted return Beta Diversified portfolios
- Information Ratio Consistent outperformance Tracking Error Active managers
- In Practice
When evaluating managers:
- Look for positive alpha (value added)
- Compare Sharpe ratios for standalone investments
- Use Treynor ratio when adding to an existing diversified portfolio
- Check R-squared before relying on beta
- Higher information ratio indicates more consistent outperformance
- On the Exam
Series 65 frequently tests:
- Calculating Sharpe ratio and Treynor ratio
- Knowing which risk measure each ratio uses
- Understanding when to use Sharpe vs. Treynor
- Interpreting positive vs. negative alpha
- Key Takeaways
- Standard deviation measures total risk; beta measures systematic risk
- R-squared indicates how much the benchmark explains portfolio movements
- Positive alpha = outperformance; negative alpha = underperformance
- Sharpe uses standard deviation (total risk)—for undiversified portfolios
- Treynor uses beta (systematic risk)—for diversified portfolios
- Higher ratios = better risk-adjusted performance