Course Summary (1) PDF

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This document provides a summary of financial instruments, including assets, financial markets, bonds, equities, and derivatives. It covers topics such as the definition of an asset, the valuation of an asset, types of assets, financial markets, and more.

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Lecture 2: Asset Classes and Financial Instruments Overview of Financial Instruments Definition of an Asset: ○ An asset is defined as a sequence of cash flows: ○ Valuation of an asset requires assessing the present value of these cash flows: Types of Assets:...

Lecture 2: Asset Classes and Financial Instruments Overview of Financial Instruments Definition of an Asset: ○ An asset is defined as a sequence of cash flows: ○ Valuation of an asset requires assessing the present value of these cash flows: Types of Assets: ○ Real Assets: Contribute to productive capacity and net income of the economy. Examples include land, buildings, equipment, and knowledge. ○ Financial Assets: Claims on real assets and do not directly contribute to productive capacity. Focus of the course is on financial assets. Types of Financial Assets 1. Financial Markets: ○ Segmented into money markets and capital markets. ○ Money Market Instruments: Short-term, marketable, liquid, low-risk debt securities. ○ Capital Markets: Include longer-term and riskier securities such as bonds, equities, and derivatives. 2. Debt (Fixed Income Securities): ○ Payments are fixed or determined by a formula. ○ Money Market Debt: Short-term, highly marketable, usually low credit risk. ○ Capital Market Debt: Long-term bonds, typically riskier. 3. Equity: ○ Common stock represents ownership in a corporation. ○ Payments to stockholders depend on the firm's success (residual claim). ○ Limited liability for shareholders. 4. Derivatives: ○ Instruments whose value derives from the price of other securities (e.g., stocks, bonds). ○ Used for various applications, including risk management. Money Market Securities Characteristics: ○ Short-term (maturity < 1 year), liquid, low risk. ○ Often used as collateral and have large denominations. Examples: ○ Treasury bills (T-bills), commercial paper. Bond Market Types of Bonds: ○ Government Debt: Treasury Notes (T-Notes) and Bonds (T-Bonds). T-Notes: Maturity < 10 years; T-Bonds: 10 to 30 years. Semi-annual coupon payments. ○ Corporate Bonds: Issued by companies, higher default risk than government securities. ○ International Bonds: Yankee bonds (dollar-denominated bonds sold in the U.S. by non-American firms). Samurai bonds (yen-denominated bonds sold in Japan by non-Japanese firms). Equity Market Types of Equity Securities: ○ Common Stock: Ownership shares in public companies, dividends depend on company performance. ○ Preferred Stock: Fixed dividend payments, priority over common stock, no voting rights. Stock Market Indexes Uses: ○ Track average returns, compare performance of managers, base for derivatives. Types of Indexes: ○ Price-weighted Average: (e.g., DJIA). ○ Equally-weighted Average: Invest equal amounts in each stock. ○ Value-weighted Average: (e.g., S&P 500), weighted by total capitalization. Derivatives Markets Types of Derivatives: ○ Options: Call options (right to buy) and put options (right to sell). Defined by exercise price and expiration date. ○ Forward Contracts: Agreement to buy/sell an asset at a future date for a specified price. Customized, no money changes hands until maturity. ○ Futures Contracts: Standardized contracts traded on exchanges, daily settlement (marked to market). Trading Securities Types of Markets: ○ Direct search, brokered markets, dealer markets, auction markets. Order Types: ○ Market orders, limit orders, stop orders. Trading Costs: ○ Commissions, bid-ask spread, potential taxes. Buying on Margin Definition: ○ Borrowing part of the total purchase price using a loan from a broker. Key Concepts: ○ Initial margin (set by the Fed, currently 50%). ○ Maintenance margin (minimum equity required). ○ Margin call (notification to add funds if equity falls below maintenance margin). Short Sale Definition: ○ Selling a security not owned, expecting to buy it back at a lower price. Mechanics: ○ Borrow shares, sell them, and maintain collateral in a margin account. ○ Maximum risk is unlimited. Lecture 3: Risk-Return Relation and Portfolio Analysis 1. Risk-Return Relation Historical performance shows that stocks yield significantly higher returns than T-bills and T-bonds. Average annual returns (1927-2015): ○ Stocks: 11.77% ○ T-bills: 3.47% The difference (8.3%) is termed the Equity Risk Premium. The document questions whether the equity risk premium is excessively large. 2. Measuring Risk Discusses both statistical and economic measures of risk: ○ Variance: Average of squared deviations from the mean. ○ Standard Deviation (σ): Square root of variance, indicating volatility. Highlights the importance of higher moments of risk: ○ Skewness: Indicates the asymmetry of return distribution. Negative skewness: More frequent extreme bad returns. Positive skewness: More frequent extreme good returns. Sharpe Ratio: Measures excess return per unit of risk. ○ Formula: 3. Portfolio Basics Definition: A portfolio is a collection of securities. Benefits of portfolio formation: ○ Diversification reduces unnecessary risks. ○ Portfolios can exploit market anomalies (e.g., value premium). Examples of portfolio construction: ○ Portfolio weights must sum to 1. ○ Example calculations provided for different stock allocations. 4. Conventions for Annualizing Returns Annual Percentage Rate (APR): Without compounding, calculated as 𝐴𝑃𝑅 = 𝐻𝑃𝑅 * 𝑛 Effective Annual Rate (EAR): With compounding, calculated as 𝑛 𝐸𝐴𝑅 = (1 + 𝐻𝑃𝑅) − 1 5. Portfolio Risk Expected return of a portfolio: ○ Formula: Volatility of a portfolio: ○ Formula: Lecture 4: Portfolio Theory I. Introduction to Modern Portfolio Theory Pioneers: Developed by Harry Markowitz; extended by William Sharpe to create the Capital Asset Pricing Model (CAPM). Recognition: Both awarded the Nobel Prize in Economics in 1990. Framework: Focuses on optimizing risk/reward characteristics of investment portfolios using a mean-variance approach. II. Key Concepts Mean-Variance Framework: ○ Investors prefer high expected returns but dislike high volatility (measured as standard deviation). ○ Mean, standard deviations, and correlations are treated as constant parameters. Objectives: ○ Maximize expected return for a given level of volatility. ○ Minimize volatility for a given level of expected return. III. Important Concepts Investment Opportunity Set: All possible portfolios available to an investor. Efficient Frontier: Portfolios that offer the best possible expected return for a given level of risk. Minimum Variance Portfolio: Portfolio with the lowest risk. Diversification: Reducing risk by adding more assets; the trade-off between the benefits of diversification and its costs. Capital Market Line (CML) and Security Market Line (SML): Tools for visualizing risk-return trade-offs. Tangency Portfolio: The optimal risky portfolio when combined with a risk-free asset; independent of individual risk aversion. Two Fund Theorem: All investors should hold a combination of the tangency portfolio and a risk-free asset, with the proportion depending on their risk aversion. IV. Two Risky Asset Portfolio Expected Return Formula: ○ Standard Deviation Formula: ○ V. Large Risky Asset Portfolio Expected Return: ○ Standard Deviation: ○ VI. Risk of a Large Portfolio Average Covariance Risk: As the number of assets increases, the portfolio risk is largely determined by average covariance risk. VII. When There Is a Risk-Free Asset Investment Opportunity Set: Becomes a straight line when combining a risky asset with a risk-free asset. Efficient Frontier: Coincides with the Capital Market Line (CML). Tangency Portfolio: Represents the optimal risky portfolio; all investors will hold this along with a risk-free asset. VIII. Formal Analysis Expected Return of a Portfolio: ○ Variance of a Portfolio: ○ Efficient Portfolio Variance: ○ Minimum Variance Portfolio: ○ Variance: ○ Weights: IX. Implementing Portfolio Theory Input Requirements: Knowledge of expected returns (µ) and variance-covariance matrix (σ). Estimation Approaches: ○ Markowitz Model: Uses historical data to estimate parameters. ○ Single Index Model: Imposes assumptions to reduce the number of parameters needing estimation. X. Example Application Minimum Variance Portfolio: Example using IBM, Boeing, American Express, and Walmart to illustrate the application of the Markowitz implementation. Lecture 5: The CAPM Capital Asset Pricing Model (CAPM): A framework for understanding the risk-return trade-off and asset pricing in finance. Key Concepts: ○ Risk-Return Trade-off: The relationship between the risk of an investment and its expected return. ○ Systematic vs. Idiosyncratic Risk: Systematic risk affects the entire market, while idiosyncratic risk is unique to a specific asset. The Link Between Portfolio Theory and CAPM Portfolio Theory: Analyzes how investors form portfolios based on asset risk and return characteristics. ○ Diversification: Helps improve the risk-return trade-off. ○ Tangency Portfolio: The optimal portfolio that combines the risk-free asset and risky assets. Two Fund Theorem: Investors can achieve any desired risk-return profile by combining the risk-free asset and the tangency portfolio. CAPM Assumptions Investor Assumptions: ○ Homogeneous expectations regarding mean and standard deviations of securities. ○ Investors are price takers in a perfectly competitive market. ○ Static model with a single-period investment horizon. ○ Mean-variance optimizers. Market Assumptions: ○ Availability of a risk-free rate for all investors. ○ No taxes or transaction costs. ○ All securities are publicly owned and traded. ○ All relevant information is publicly available. CAPM Predictions 1. Tangency Portfolio as Market Portfolio: The tangency portfolio is equivalent to the market portfolio (e.g., S&P 500). 2. Expected Return Formula: ○ ○Where ( E[ri] ) is the expected return on asset ( i ), ( rf ) is the risk-free rate, ( βi ) is the asset's beta, and ( E[rm] ) is the expected market return. 3. Market Risk Premium: ○ ○ ( A ) represents the risk aversion of the average investor. Implications of CAPM Market Portfolio: All investors should hold the market portfolio, which is on the efficient frontier. Passive Investment Strategy: It is impossible to consistently beat the market; thus, a passive strategy is efficient. Performance Benchmark: The market return serves as a benchmark for evaluating professional money managers. Empirical Tests of CAPM Testing Methods: ○ Portfolio Sorts: Sorting stocks based on characteristics (e.g., beta) and analyzing average returns. ○ Time Series Regression: Estimating the relationship between excess returns of assets and market returns. ○ Cross-Sectional Regression: Analyzing average excess returns against estimated betas. ○ Fama-MacBeth Regression: A two-step regression process that improves standard errors and test statistics. Empirical Performance Mixed Results: Empirical tests have shown weak support for the CAPM. Anomalies: The CAPM fails to explain various market anomalies, such as momentum and profitability. Critiques: ○ Roll’s critique highlights that the true market portfolio is unobservable. ○ Measurement errors in beta can bias results. ○ The CAPM's simplistic assumptions may not hold in real-world scenarios. Lecture 6: Asset Pricing Author: Guanglian Hu, University of Sydney Context: Week 6 of a course on Asset Pricing. State Space Model Definition: A framework for modeling investments under uncertainty, introduced by Arrow (1964) and Debreu (1959). States of the World: There are S states of nature, each labeled by s (s = 1, 2,..., S), representing different economic conditions. Probabilities: Each state s occurs with probability πs (0 < πs < 1), and the sum of probabilities across all states equals 1 (Σπs = 1). Arrow-Debreu Securities: These are contingent claims that pay off $1 if a specific state occurs and $0 otherwise. Each state has a corresponding security. State Prices: The price of each Arrow-Debreu security is denoted as ws, where 0 < ws < 1. Pricing Risky Assets Random Payoff: A risky asset with a random payoff Y can be represented as a vector of payoffs across states. Valuation: The current price of Y can be calculated using the state prices: ○ Risk-Free Bond: The price of a risk-free bond (B) that pays off $1 in all states can be derived from state prices: ○ Stochastic Discount Factor (SDF) Definition: The SDF (Ms) is defined as Expected Value: The value of an asset is equal to the expected value of discounted future cash flows: ○ Risk Neutral Probabilities Transformation: Risk-neutral probabilities (˜πs) can be derived from state prices and the price of the risk-free asset: ○ Valuation under Risk Neutrality: The price of a risky asset can also be expressed using risk-neutral probabilities. Inferring State Prices from Option Prices Options as Replicating Claims: State prices can be inferred from the prices of options with different strike prices. Example: The payoff of a European call option can be used to replicate the payoffs of Arrow-Debreu securities. Consumption-Based Asset Pricing Intertemporal Choice Problem: Investors maximize expected lifetime utility: ○ Euler Equation: The first-order condition for optimal consumption and portfolio choice: ○ Fundamental Asset Pricing Equation Derivation: The fundamental equation in asset pricing is: ○ Implications: The expected return of an asset is related to its covariance with the stochastic discount factor. Expected Return - Beta Representation CAPM-Type Expression: The fundamental equation can be rewritten to show the relationship between expected returns and risk: ○ Beta Definition: Imposing Log-Normality Log-Normal Distribution: Assumes that asset returns and the stochastic discount factor are log-normally distributed. Expected Returns: The expected excess return of a risky asset over the risk-free rate is influenced by the covariance with the stochastic discount factor. Consumption-Based Asset Pricing with Power Utility Utility Function: A representative agent maximizes a power utility function: ○ Risk-Free Rate: The risk-free rate is influenced by the expected consumption growth and the coefficient of relative risk aversion. Equity Risk Premium Puzzle Definition: The equity premium puzzle refers to the observed high average returns on stocks compared to risk-free assets. Risk Aversion: Economists generally believe that the coefficient of relative risk aversion should be less than 10. Hansen-Jagannathan Bound Bound Definition: The standard deviation of the stochastic discount factor must be greater than the Sharpe ratio for any asset. Implications: This bound suggests that the stochastic discount factor is not volatile enough to explain observed asset returns. Extensions to Asset Pricing Models Second Generation Models: New models that depart from log-normality and power utility include: ○ Long-run risks model (Bansal and Yaron, 2004) ○ Habit model (Campbell and Cochrane, 1999) ○ Rare disaster model (Rietz, 1988; Barro, 2006; Wachter, 2013) Lecture 7: Anomalies and Multi-Factor I. Introduction to Anomalies Anomalies are empirical patterns in average asset returns that contradict CAPM predictions. Common anomalies include: ○ Size ○ Value ○ Momentum ○ Low Beta ○ Profitability ○ Investment II. Anomalies: Size Key Findings: ○ Small stocks tend to outperform large stocks. ○ The size effect has weakened since the 1980s but has seen a resurgence recently. ○ Controlling for firm quality reveals a robust size effect. Historical Context: ○ Banz (1981) identified the size anomaly, challenging CAPM. ○ The size effect is particularly pronounced in January, linked to tax-based selling. III. Anomalies: Value Key Findings: ○ Value stocks (high book-to-market ratio) generally yield higher future returns than growth stocks (low book-to-market ratio). ○ Value stocks are characterized by low prices relative to their fundamentals. IV. Anomalies: Momentum Key Findings: ○ Stocks that have performed well over the past 3-12 months tend to continue performing well. ○ Momentum is a consistent anomaly across various markets and asset classes. Empirical Evidence: ○ Jegadeesh and Titman (1993) established the momentum effect. V. Anomalies: Low Beta Key Findings: ○ Low beta stocks often provide higher CAPM alphas than high beta stocks. ○ The expected return-beta relationship is weak, suggesting a flat Security Market Line (SML). VI. Anomalies: Investment Key Findings: ○ Firms with lower capital expenditures or asset changes tend to earn higher average future returns. VII. Anomalies: Profitability Key Findings: ○ More profitable companies yield higher average returns. ○ Profitability is often measured as gross profits/assets. VIII. Arbitrage Pricing Theory (APT) Key Concepts: ○ APT is a multi-factor model that explains asset returns through various systematic factors (e.g., inflation, interest rates). ○ APT makes fewer assumptions than CAPM and does not specify which factors to include. IX. Multi-Factor Models Key Concepts: ○ Multi-factor models extend CAPM by incorporating multiple sources of systematic risk. ○ Fama-French 3-Factor Model: Adds size (SMB) and value (HML) factors to CAPM. Model Equation: 𝐸[𝑟𝑖] = 𝑟𝑓 + β1,𝑖𝑀𝐾𝑇 + β2,𝑖𝑆𝑀𝐵 + β3,1𝐻𝑀𝐿 ○ Performance: The Fama-French model effectively explains size and value anomalies but struggles with newer anomalies like momentum. X. Other Key Factor Models Fama-French 4-Factor Model: Adds momentum to the 3-factor model. Fama-French 5-Factor Model: Incorporates investment and profitability factors. Fama-French 6-Factor Model: Further augments the 5-factor model with momentum. Importance of Factor Models Widely used by market participants for performance measurement and strategy construction. Serve as benchmarks for mutual funds and hedge funds. Cross-Section of Stock Returns Empirical studies focus on differences in average returns across stocks. Two main study categories: ○ Relationships between expected returns and stock characteristics. ○ Portfolios based on factor exposure and their performance relative to benchmarks. Factor Zoo The proliferation of factors in academic literature leads to a "factor zoo." Concerns include: ○ Poor out-of-sample performance. ○ Data mining and publication bias. ○ Need for economically motivated factors. Lecture 8: Investment Vehicles and Strategies Investment Vehicles Definition: Instruments or legal structures that allow investors to deploy their capital. Types: ○ Mutual Funds: Pooled investments in publicly listed companies. ○ Pension Funds: Pooled retirement money invested through various structures. ○ Hedge Funds: Use complex strategies (long-short equity, global macro) with leverage and derivatives. ○ Private Equity: Investments in illiquid assets with long time horizons. ○ Real Estate Investment Trusts (REITs): Provide liquid exposure to real estate. ○ Exchange-Traded Funds (ETFs): Managed portfolios that trade like stocks, offering real-time liquidity. Investment Strategies Definition: Decision-making processes and techniques applied by investment vehicles. Key Non-Performance Metrics: ○ Costs: Management fees, performance fees, and expense ratios. ○ Turnover Ratio: Percentage of portfolio holdings replaced within a year; high turnover can lead to higher costs and taxes. ○ Liquidity: Ease of buying/selling assets without affecting prices; high liquidity is essential for frequent trading. ○ Concentration/Diversification: Portfolio's focus on few assets vs. many; concentrated strategies carry higher risk but potential upside. ○ Tracking Error: Deviation of portfolio returns from its benchmark; high tracking error indicates active strategies aiming to outperform. Active vs Passive Management Active Strategies: ○ High fees and turnover. ○ Lower liquidity. ○ Higher concentration and tracking error. ○ Aim to generate alpha (excess returns) through stock picking and market timing. Passive Strategies: ○ Low fees and turnover. ○ High liquidity and broad market exposure. ○ Focus on achieving benchmark returns rather than outperforming. Investment Styles Definition: Preferences that drive security selection. Key Styles: ○ Growth ○ Value ○ Momentum ○ Income ○ Size ○ Factor-based styles Performance Variability: Different styles perform better in varying market conditions (e.g., growth in expansions, value in recoveries). Asset Management Companies Role: Manage investment vehicles and strategies. Top Global Asset Managers (2024): ○ BlackRock, Vanguard, Fidelity, State Street, J.P. Morgan, etc. Top Australian Asset Managers (2024): ○ Macquarie Asset Management, Australian Foundation Investment Co, Argo Investments, etc. Mutual Funds and ETFs Mutual Funds: ○ Issue/redeem shares at net asset value (NAV). ○ Risk of portfolio disruption during large redemptions. ETFs: ○ Trade throughout the day at market prices. ○ Use a creation/redemption process to manage underlying assets, minimizing disruption. Advanced Investment Strategies Smart Beta: Combines passive indexing with active factor selection (e.g., value, momentum). ESG Strategies: Incorporate sustainability factors into investment processes. Quantitative Strategies: Use data models and algorithms to identify market inefficiencies. Tactical Asset Allocation: Adjusts portfolio allocations based on market conditions. Key Non-Performance Metrics Fees and Expense Ratios: Costs associated with managing investments; higher fees can erode returns. Turnover Ratio: Indicates trading frequency; high turnover can lead to increased costs and tax implications. Liquidity: Essential for strategies involving frequent trading; high liquidity is preferred. Concentration/Diversification: Impacts risk and potential returns; concentrated portfolios can yield higher returns but carry more risk. Tracking Error: Measures deviation from benchmarks; important for assessing active vs. passive strategies. Lecture 9: Factor Investing Definition: Factor investing is a strategy where investors aim to capture excess returns by deliberately allocating to specific factors (e.g., value, momentum, size) that have historically outperformed the market. Types of Strategies: ○ Active Strategies: Involves stock picking based on identified factors. ○ Passive Strategies: Utilizes factor-tilted ETFs or mutual funds to gain exposure to these factors. Focus: The primary goal is to capture specific risk premiums through systematic exposure to chosen factors. Smart Beta Definition: Smart beta is a subset of factor investing that employs rules-based quantitative strategies with factor tilts. Origin: The term was coined by Towers Watson in 2007, referring to their fundamental weighting strategy. Key Characteristics: ○ Uses alternative metrics (e.g., book value vs. market cap) to measure firm size. ○ Moves beyond traditional market-cap weighting to address issues like concentration risk and performance chasing. Evolution of Smart Beta Growth: Significant increase in Total Net Assets (TNA) for smart beta ETFs from 2013 to 2023. Factor Categories: Growth observed across various factors including size, value, quality, dividend, and momentum. Smart Beta Steps 1. Define Objective and Framework: Establish the goal of outperforming the market through specific financial metrics. 2. Select Factor Metrics: Choose metrics to define factors (e.g., Price-to-Earnings, Price-to-Book). 3. Define Investment Universe: Select the market segment (e.g., ASX200, S&P 500) for stock selection. 4. Create Factor Score: Rank stocks based on standardized metrics (Z-scores). 5. Portfolio Construction: Decide on stock selection and weighting schemes (e.g., fundamental, equal, or factor-score weighting). 6. Apply Constraints: Introduce risk management constraints (e.g., sector constraints, liquidity filters). 7. Rebalancing Strategy: Determine frequency and criteria for rebalancing the portfolio. 8. Performance Monitoring and Evaluation: Regularly assess portfolio performance against benchmarks. Single Factor ETF Multiple Metrics: Discusses the implications of using multiple metrics for the same factor (e.g., P/B, P/E). Z-Score Calculation: Each stock's z-score is calculated for each metric to create a composite score. Multi-Factor ETF Combining Factors: Investigates whether combining different factors (e.g., value and size) affects overall portfolio risk and return. Cyclical Nature: Factors are cyclical, and combining them can provide diversification benefits. Factor Overlaid Portfolio Definition: This strategy applies factor strategies on top of an existing portfolio to enhance risk-adjusted returns. Implementation: Overweight stocks that load highly on certain factors or add new allocations based on these factors. Example: Using a quality factor overlay on an S&P 500 portfolio. Generalized Approach Fama-McBeth Regression: Used to identify factors with strong price of risk for constructing factor overlaid strategies. Weighting: Stocks are weighted based on their exposure to selected factors. Factor Tracking and Long-Short Investable Portfolio Long-Short Strategy: Involves going long on stocks with higher factor loadings and shorting those with lower loadings. Tracking Error: Discusses constructing portfolios that track a benchmark while maintaining a specified tracking error. Backtesting Importance: Essential for evaluating the performance of factor-based strategies. Risks: ○ Data Snooping Bias: Repeated testing can lead to false discoveries. ○ Overfitting: Tailoring strategies too closely to past data can result in poor future performance. Lecture 10: Performance Evaluation Section 1: Why Performance Evaluation? Purpose of Performance Evaluation: ○ Assesses the skill of fund managers. ○ Critical for investment decisions and benchmarking. ○ Important for market efficiency. Complexity: ○ Performance evaluation is complicated due to the interplay between risk and return. ○ High returns with high risk do not necessarily indicate skill. General Principle: ○ Aim for higher returns without excessive risk. Section 2: Conventional Performance Evaluation: Average Returns Types of Average Returns: ○ Arithmetic Average: Simple average calculated as ○ Geometric Average: Time-weighted average calculated as ○ Dollar Weighted Average: Internal rate of return that equates present values of cash inflows and outflows. Section 3: Risk-Adjusted Performance Need for Risk Adjustment: ○ Average returns must be adjusted for risk for meaningful comparisons. Types of Risks: ○ Total risk (σ), systematic risk (β), idiosyncratic risk (σep). Risk-Adjusted Performance Measures: 𝑟𝑝−𝑟𝑓 ○ Sharpe Ratio: 𝑆 = σ𝑝 ○ M2 Measure: Compares managed portfolio returns to a passive index 𝑀2 = 𝑟𝑝 − (𝑟𝑓 + β𝑝(𝑟𝑚 − 𝑟𝑓)). 𝑟𝑝−𝑟𝑓 ○ Treynor Ratio: 𝑇𝑝 = β𝑝. ○ Jensen’s Alpha: Measures excess return over CAPM prediction α = 𝑟𝑝 − (𝑟𝑓 + β𝑝(𝑟𝑚 − 𝑟𝑓). α𝑝 ○ Information Ratio: 𝐼𝑅𝑝 = σ𝑒𝑝 → NB: denominator is tracking error. Section 4: Role of Alpha in Performance Measures Alpha's Importance: ○ All performance measures are positively related to alpha. ○ Higher alpha generally leads to higher performance measure values. Application: ○ Particularly relevant for hedge funds and mutual funds. ○ Hedge funds often do not create well-diversified portfolios. Section 5: Skill vs Luck Performance Variability: ○ Some funds outperform benchmarks due to skill, while others may do so by chance. ○ Outperformers attract more investor funds. Skill Measurement: ○ Skill defined as the ability to consistently outperform benchmarks. ○ Berk and van Binsbergen (2016) suggest skill is a product of fund alpha and size. ○ Net performance is affected by fund fees, which can obscure true skill. Lecture 11: Overall Performance of Alternative Assets Definition: Alternative investments refer to asset classes that are not traditional investments like stocks, bonds, or cash. They include hedge funds, private equity, real estate, commodities, infrastructure, and cryptocurrencies. Characteristics: ○ Illiquidity: These investments are not easily traded, requiring a longer-term commitment, which can introduce both risk and reward. ○ Diversification: They often have low correlation with traditional markets, potentially reducing overall portfolio risk. ○ Higher Fees: Management and performance fees for alternative investments are typically higher than those for traditional investments. ○ Complexity: Many alternative investments require specialized knowledge and analysis to understand and manage effectively. ○ Sophisticated Investors: Primarily targeted at institutional investors and high-net-worth individuals due to their complexity and risk profile. Hedge Funds Definition: Investment pools that employ various strategies to earn active returns. Net Asset Value (NAV): Represents the value of an investor’s stake in the hedge fund portfolio. Strategies: ○ Directional: Speculate on the market direction or specific assets. ○ Nondirectional: Exploit temporary misalignments in relative pricing, often market neutral. ○ Pure Plays: Focus on specific mispricing across multiple securities. Performance: ○ Historically outperformed passive indexes, but recent trends show a decline in performance metrics like the Sharpe ratio and alpha. ○ Performance measures include Sharpe ratio, alpha, and information ratio, but biases such as backfill and survivorship can distort reported results. Fees: ○ Typical structure includes a management fee (1-2%) and an incentive fee (20% of profits beyond a benchmark). ○ High-Water Mark: Ensures managers only earn performance fees on new profits, not on recovered losses. ○ Lockup Period: Investors cannot redeem their capital for a specified time (6 months to 2 years). Private Equity Definition: Investments in privately owned companies or startups, often through leveraged buyouts (LBOs). Types: ○ Angels: Wealthy individuals providing early-stage funding. ○ Venture Capital: Managed funds investing in startups at various stages. ○ LBOs: Use of debt to acquire mature companies, aiming to improve operations and exit through IPO or acquisition. ○ Growth Capital: Minority equity investments in companies needing capital for expansion. ○ Mezzanine Capital: Subordinated debt or preferred stock investments supporting growth. Valuation Challenges: Valuing private companies is more complex than public companies, often requiring a capital multiplier to determine ownership stakes. Example: A venture capitalist investing $2 million with a target exit multiple of 10x in 8 years must calculate the required ownership share to justify the investment. Real Estate Definition: Investments in physical properties or through Real Estate Investment Trusts (REITs). Types: ○ Direct Ownership: Investing directly in properties. ○ REITs: Companies that own and manage income-generating properties. ○ Private Real Estate Funds: Pooled investments that purchase and manage real estate assets. Characteristics: ○ Provides stable income through rental yields and potential for capital appreciation. ○ Direct investments are illiquid, while REITs offer higher liquidity. Lecture 12: Overview of Sustainable Investing and ESG Definition of Sustainable Finance: The process of incorporating Environmental, Social, and Governance (ESG) considerations into investment decisions, promoting long-term investments in sustainable economic activities. ○ Environmental Considerations: Climate change mitigation, biodiversity preservation, pollution prevention, and circular economy. ○ Social Considerations: Issues of inequality, inclusiveness, labor relations, investment in human capital, and human rights. ○ Governance: Management structures, employee relations, and executive remuneration are crucial for integrating ESG factors into decision-making. Evolution of Sustainable Investing Historical Timeline: ○ 2000s: Responsible Investment (RI) focused on ethics and final investors. ○ 2010s: Rise of ESG investing, gaining traction in asset management. ○ 2020s: Expansion of sustainable finance across all financial actors, including issuers and banks. ESG Strategies and Data Investment Strategies: ○ Negative Screening/Exclusion: Excluding sectors or companies based on ESG criteria (e.g., tobacco, fossil fuels). ○ Positive Screening/Best-in-Class: Investing in companies with superior ESG performance relative to peers. ○ ESG Integration: Systematic inclusion of ESG factors in financial analysis. ○ Thematic Investing: Focusing on specific sustainability themes (e.g., clean energy). ○ Corporate Engagement/Shareholder Activism: Influencing corporate behavior through direct engagement and voting. Importance of ESG Data: ○ Requires extensive data from various sources, including public reports, regulatory filings, and proprietary data. ○ Examples of data sources: Corporate annual reports, Carbon Disclosure Project (CDP) responses, and ESG rating agencies. ESG Regulations and Associations Growth of ESG Associations: ○ The Principles for Responsible Investment (PRI) launched in 2006, with significant growth in signatories from 63 to over 1,400 by 2021. Regulatory Landscape: ○ Increasing number of regulations affecting issuers, investors, and financial regulators, indicating a shift towards more structured ESG frameworks. Performance of ESG Investing Dynamic Relationship: ○ The relationship between ESG factors and financial performance is complex and varies over time. ○ Academic studies indicate that while ESG investing can enhance performance, it is not universally applicable. Green Bonds and Greenium Green Bonds: Debt instruments used to finance projects with positive environmental impacts. Greenium: The premium associated with green bonds compared to traditional bonds, reflecting investor demand for sustainable investments. Ownership and Engagement Active Ownership: Investors engage with companies to influence management and operations without changing control. Types of Engagement: ○ Ongoing engagement to promote best practices. ○ Engagement for influence to express dissatisfaction and push for changes. ○ Pre-AGM engagement to discuss resolutions. Greenwashing Definition: Misleading claims by companies about their environmental practices to appear more sustainable than they are. Risks: Includes mis-selling and misinterpretation risks, highlighting the need for transparency and accountability in ESG claims.

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