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Questions and Answers
What is the formula to calculate the coefficient of determination (Det.AB)?
What is the formula to calculate the coefficient of determination (Det.AB)?
Square of correlation coefficient
What is a portfolio, and what are its primary objectives?
What is a portfolio, and what are its primary objectives?
A portfolio is a collection of investment vehicles assembled to meet one or more investment goals. Primary objectives include growth-oriented, income-oriented, and capital preserving portfolios.
What is an efficient portfolio, and what are its key characteristics?
What is an efficient portfolio, and what are its key characteristics?
An efficient portfolio is one that provides the highest return for a given level of risk. Investors will choose the investment with the highest potential return for a given level of risk or the one with the least risk for a given return.
What does a high coefficient of determination indicate about the returns of two assets?
What does a high coefficient of determination indicate about the returns of two assets?
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What are the main characteristics of any investment, and why are they important?
What are the main characteristics of any investment, and why are they important?
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Why is it desirable to combine assets with negative correlation in a portfolio?
Why is it desirable to combine assets with negative correlation in a portfolio?
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What is the ultimate objective for any investor, and how is it measured?
What is the ultimate objective for any investor, and how is it measured?
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What is a disadvantage of investing in different investments with high positive correlation?
What is a disadvantage of investing in different investments with high positive correlation?
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What is an advantage of international diversification?
What is an advantage of international diversification?
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What is the relationship between risk and return, and how is it measured?
What is the relationship between risk and return, and how is it measured?
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What is a disadvantage of international diversification?
What is a disadvantage of international diversification?
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What are the three primary objectives of a portfolio, and how do they differ?
What are the three primary objectives of a portfolio, and how do they differ?
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What is the main goal of portfolio theory?
What is the main goal of portfolio theory?
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What is the key measure of an investor's success, and how is it evaluated?
What is the key measure of an investor's success, and how is it evaluated?
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Why is it important to consider risk in investing?
Why is it important to consider risk in investing?
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Why are precise quantitative measures necessary for comparing investment alternatives?
Why are precise quantitative measures necessary for comparing investment alternatives?
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What is the goal of finding the minimum variance portfolio?
What is the goal of finding the minimum variance portfolio?
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How can you minimize the portfolio variance according to the thought experiment?
How can you minimize the portfolio variance according to the thought experiment?
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What is the condition for the minimum variance portfolio?
What is the condition for the minimum variance portfolio?
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Why is diversification key to optimal risk management?
Why is diversification key to optimal risk management?
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What is the goal of asset allocation?
What is the goal of asset allocation?
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What is portfolio construction?
What is portfolio construction?
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What is the importance of covariances in portfolio selection?
What is the importance of covariances in portfolio selection?
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What is the relationship between the investment opportunity set and the number of assets?
What is the relationship between the investment opportunity set and the number of assets?
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What is the relationship between the covariance of two assets and the variance of one of the assets?
What is the relationship between the covariance of two assets and the variance of one of the assets?
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What is the property of the covariance matrix mentioned in the text?
What is the property of the covariance matrix mentioned in the text?
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How is the expected return of a portfolio of three risky assets calculated?
How is the expected return of a portfolio of three risky assets calculated?
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What is the formula for the variance of a portfolio of three risky assets?
What is the formula for the variance of a portfolio of three risky assets?
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How is the return on an N asset portfolio calculated?
How is the return on an N asset portfolio calculated?
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What is the constraint on the weights of the assets in a portfolio?
What is the constraint on the weights of the assets in a portfolio?
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How is the expected return of a portfolio of many risky assets calculated?
How is the expected return of a portfolio of many risky assets calculated?
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What is the formula for the variance of a portfolio of many risky assets?
What is the formula for the variance of a portfolio of many risky assets?
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According to the Capital Asset Pricing Model (CAPM), what is the relationship between the expected risk premium on a security and the risk, beta?
According to the Capital Asset Pricing Model (CAPM), what is the relationship between the expected risk premium on a security and the risk, beta?
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What is the formula for the Capital Asset Pricing Model (CAPM)?
What is the formula for the Capital Asset Pricing Model (CAPM)?
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In the CAPM, what does the beta (ba) represent?
In the CAPM, what does the beta (ba) represent?
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What is the expected return on a stock with a beta of 1.3, if the risk-free rate is 4% and the market risk premium is 8.6%?
What is the expected return on a stock with a beta of 1.3, if the risk-free rate is 4% and the market risk premium is 8.6%?
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Why is it beneficial to hold a combination of two assets with different parameters?
Why is it beneficial to hold a combination of two assets with different parameters?
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How do you calculate the expected rate of return of an investment alternative?
How do you calculate the expected rate of return of an investment alternative?
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What is the purpose of calculating the variance and standard deviation of an investment?
What is the purpose of calculating the variance and standard deviation of an investment?
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What happens to the risk of a portfolio when you combine two assets with different parameters?
What happens to the risk of a portfolio when you combine two assets with different parameters?
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Study Notes
Chapter 4: Portfolio Analysis and Modern Portfolio Theory
4.1 Introduction to Portfolio Analysis
- A portfolio is a collection of investment vehicles assembled to meet one or more investment goals.
- Types of portfolios: Growth-Oriented, Income-Oriented, and Capital Preserving portfolios.
4.2 Portfolio Return and Risk Measures
- Investment return and risk are the main characteristics of any investment.
- Expected rate of return and variance or standard deviation provide information about the nature of the probability distribution associated with a single asset.
- Coefficient of determination (Det.AB) is calculated as the square of the correlation coefficient.
4.3 Measuring Expected Return and Risk of a Portfolio
- Portfolio theory – mean variance analysis.
- Portfolio return and risk can be measured using expected return (E(rp)) and variance (∂²(rp)).
- Computing E(rp) and ∂²(rp) for a three-risky asset portfolio.
4.4 Portfolio Risk-Return Analysis of Two Securities
- Correlation between series M, N, and P: correlation measures the strength of the linear relationship between two variables.
- Diversification reduces overall risk in a portfolio by combining assets with a negative (or low-positive) correlation.
4.5 Portfolio Risk-Return Analysis of More Than Two Securities
- A portfolio of many risky assets: expected return (E(rp)) and variance (∂²(rp)) can be calculated using the weighted sum of individual securities.
- Minimizing portfolio variance by adjusting the weights of securities with different covariances.
4.6 Diversification and Portfolio Risks
- International diversification offers a broader investment choice, potentially greater returns, and reduced portfolio risk.
- Advantages and disadvantages of international diversification.
4.7 Portfolio Selection Models
- Asset allocation (portfolio selection) with many assets: finding the optimal allocation of funds to different asset classes.
- Capital asset pricing model (CAPM) describes the relationship between expected risk premium and beta (systematic risk).
- Example of CAPM: calculating expected return on a stock using beta and market risk premium.
Illustrations on Risk and Return Analysis
- Example 1: analyzing the advantage of holding a combination of two stocks (Y and Z) with different expected returns and variances.
- Example 2: determining expected rate of return, variance, and standard deviation for two investment alternatives (Y and Z).
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Description
This quiz covers the concepts of portfolio analysis, modern portfolio theory, and portfolio risk-return analysis, including measuring expected return and risk, diversification, and portfolio selection models.