📊 NISM Series X-AChapter 13 of 20⚖ 5 marks weightage
Ch.13: Overview of Alternative Investment Funds
Practice questions for NISM-Series-X-A: Investment Adviser (Level 1) Certification Examination
(mandated by SEBI under the Investment Advisers Regulations, 2013).
Chapter 13 carries 5 out of 150 marks
in the final examination. The exam has 90 MCQs + 9 case-based sets (5 sub-questions each, mixed 1-mark
and 2-mark weighting), 180-minute duration, 60% passing score, and 25% negative marking on the marks
of each wrong answer.
125
MCQ
0
Case Sets
125
Total Qs
5
Exam Marks
60%
Pass Score
−25%
Neg. Marking
What You Will Learn in This Chapter
Understand AIF categories — Category I, II and III — and their features
Know the regulatory framework governing alternative investment funds
Understand risks and suitability of alternative investments
Key Terms:AIFCategory I AIFCategory II AIFCategory III AIFventure capital fundprivate equity
Multiple Choice Questions (125)
Q1MCQ · 1 markEasyModern Portfolio Theory
Who authored the article "Portfolio Selection" in 1952, which introduced ideas that form the foundations of Modern Portfolio Theory (MPT)?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DRobert Merton
💡 The text states, "In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. Decades later in 1990, Harry Markowitz was honoured with the Nobel Prize in Economics for his portfolio theory."
Q2MCQ · 1 markMediumPortfolio Optimization Inputs
According to the MPT framework for constructing and selecting a portfolio, which of the following is NOT listed as a required input for the portfolio manager to estimate?
AThe expected return of every asset class.
BThe standard deviation of each asset's expected returns.
✓The historical performance of the overall market index.
DThe correlation coefficient among the entire set of asset classes.
💡 The text lists three required estimations: '1. the expected return of every asset class... 2. the standard deviation of each asset’s expected returns 3. the correlation coefficient among the entire set of asset class...'. Historical market performance is not explicitly listed as one of these three required inputs.
Q3MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 50 investments, how many weighted covariance terms would be present in the portfolio variance formula, according to Modern Portfolio Theory?
A50
✓1225
C2450
D2500
💡 The text states the formula for the number of covariance terms is (n^2 - n) / 2. For n = 50, the number of covariance terms = (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q4MCQ · 1 markHardPortfolio Return Calculation
Based on the provided data for a portfolio, what is the Expected Return of the Portfolio?
Portfolio Constituents | Weights (% of Portfolio) | Expected Investment Return
A | 0.2 | 0.09
B | 0.1 | 0.12
C | 0.3 | 0.15
D | 0.4 | 0.18
A0.137
✓0.147
C0.157
D0.167
💡 The Expected Return of a Portfolio is the weighted average of the expected rates of return for the individual investments.
Weighted investment Return for A = 0.2 * 0.09 = 0.018
Weighted investment Return for B = 0.1 * 0.12 = 0.012
Weighted investment Return for C = 0.3 * 0.15 = 0.045
Weighted investment Return for D = 0.4 * 0.18 = 0.072
Expected Return of a Portfolio = 0.018 + 0.012 + 0.045 + 0.072 = 0.147. This matches the example provided in the text.
Q5MCQ · 1 markMediumAssumptions of MPT
Which of the following is NOT an assumption of Modern Portfolio Theory (MPT)?
AInvestors want to maximize return for a given level of risk.
BInvestors estimate portfolio risk based on the variability of expected returns of constituent assets.
CInvestors consider each investment alternative as being presented by a probability distribution of expected returns.
✓Investors base decisions on expected return, risk, and personal biases from recent market performance.
💡 The text lists assumptions in section 14.2. Options A, B, and C are explicitly stated assumptions. Option D is incorrect because the text states, 'Investors base decisions solely on expected return and risk, so their utility curves are a function of expected return and the expected variance (or standard deviation) of returns only,' implying no consideration for personal biases from recent market performance.
Q6MCQ · 1 markMediumPortfolio Risk
For a portfolio consisting of 50 securities, how many weighted covariance terms would be involved in the calculation of the portfolio variance?
A50
✓1225
C2450
D2500
💡 The number of covariance terms is arrived at by using the formula: (n^2 - n) / 2, where n is the number of securities in the portfolio. For n = 50:
Number of covariance terms = (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q7MCQ · 1 markMediumCalculation of Portfolio Return
A portfolio consists of four securities with the following weights and expected returns:
Portfolio Constituents | Weights (% of Portfolio) | Expected Investment Return
---|---|---
A | 0.2 | 0.09
B | 0.1 | 0.12
C | 0.3 | 0.15
D | 0.4 | 0.18
What is the expected return of this portfolio?
✓0.147
B0.125
C0.150
D0.138
💡 The expected rate of return for a portfolio is the weighted average of the expected rates of return for the individual investments.
Expected Return = (0.2 * 0.09) + (0.1 * 0.12) + (0.3 * 0.15) + (0.4 * 0.18)
Expected Return = 0.018 + 0.012 + 0.045 + 0.072
Expected Return = 0.147
Q8MCQ · 1 markMediumAsset Allocation
Which of the following statements regarding the asset allocation decision is most accurate, according to the provided text?
AIt is less important than the choice of individual products within an asset class.
BIt is an isolated decision, separate from the overall portfolio management process.
✓It majorly influences the long-run performance of investment portfolios.
DIt involves distributing wealth into different individual securities, not asset classes.
💡 Section 15.1 'Importance of Asset Allocation Decision' states, 'Professional Investment experience has been suggesting that in the long run asset-allocation decision majorly influences the performance of investment portfolios.'
Q9MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 50 individual investments, how many weighted covariance terms would be required to calculate the portfolio variance?
A50
✓1225
C2450
D2500
💡 The text provides the formula for the number of covariance terms as (n²-n)/2, where n is the number of securities. For n=50, the calculation is (50² - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q10MCQ · 1 markEasyModern Portfolio Theory
Prior to 1950, the investing community was familiar with the benefits of holding a diversified portfolio but lacked the means to:
AIdentify specific asset classes.
✓Quantify the benefits of diversification.
CAccess global investment opportunities.
DUnderstand the concept of risk premium.
💡 The text states: 'Prior to 1950, investing community was familiar with the benefits of holding a diversified portfolio. However, they had no way of quantifying the benefits of diversification.'
Q11MCQ · 1 markEasyModern Portfolio Theory
Harry Markowitz was honored with the Nobel Prize in Economics for his portfolio theory, which was introduced in an article titled 'Portfolio Selection'. In which year was this article published?
A1990
✓1952
C1962
D1972
💡 The text states: 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. Decades later in 1990, Harry Markowitz was honoured with the Nobel Prize in Economics for his portfolio theory.'
Q12MCQ · 1 markEasyMPT Core Concepts
What statistical notion did Harry Markowitz introduce to quantify the concept of diversification?
AExpected utility.
BDiminishing marginal utility.
✓Covariance or correlation between investment assets.
DCertainty Equivalent Rate.
💡 The text states, 'MPT quantified the concept of diversification by introducing the statistical notion of covariance, or correlation between investment assets.'
Q13MCQ · 1 markMediumInvestor Types
According to Modern Portfolio Theory, which of the following best describes a risk-averse investor?
AAn investor who evaluates investment opportunities solely on the basis of expected return, with no regard to risk.
BAn investor who will engage in a fair game and makes an upward adjustment for utility.
✓An investor who rejects a fair game and demands a greater risk premium for bearing greater risk.
DAn investor for whom the portfolio Certainty Equivalent Rate (CER) is equal to the expected rate of return on the risky portfolio.
💡 The text states, 'Risk averse investors reject fair game. Risk averse investors will invest in risk-free investment opportunities or in investment opportunities with positive expected risk premium. The greater the risk, greater the demand for risk premium.' Option A describes a risk-neutral investor, Option B describes a risk-seeking investor, and Option D describes a characteristic of a risk-neutral investor.
Q14MCQ · 1 markMediumDiversification and MPT
What statistical notion did Harry Markowitz introduce to quantify the concept of diversification within Modern Portfolio Theory (MPT)?
AStandard Deviation
BVariance
✓Covariance or Correlation
DBeta
💡 The text states, 'MPT quantified the concept of diversification by introducing the statistical notion of covariance, or correlation between investment assets.'
Q15MCQ · 1 markMediumModern Portfolio Theory Assumptions
Which of the following is an assumption of Modern Portfolio Theory (MPT)?
AInvestors are risk-seeking and prioritize higher returns regardless of risk.
✓Investors maximize one-period expected utility and assign utility scores to portfolio choices.
CInvestors base decisions primarily on market sentiment rather than expected return and risk.
DUtility curves demonstrate increasing marginal utility of wealth.
💡 The text states, 'Investors maximize one-period expected utility. Investors choose an action or event with the maximum expected utility. Investors assign utility scores to the various portfolio choices available to them.' Option A describes risk-seeking investors, not a general MPT assumption. Option C contradicts the MPT assumption that decisions are based solely on expected return and risk. Option D contradicts the MPT assumption that utility curves demonstrate diminishing marginal utility of wealth.
Q16MCQ · 1 markEasyModern Portfolio Theory Foundations
Which individual was honored with the Nobel Prize in Economics for his portfolio theory, based on an article published in 1952?
✓Harry Markowitz
BWilliam Sharpe
CMerton Miller
DFranco Modigliani
💡 The text states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. Decades later in 1990, Harry Markowitz was honoured with the Nobel Prize in Economics for his portfolio theory.'
Q17MCQ · 1 markEasyModern Portfolio Theory
Who authored the article 'Portfolio Selection' in 1952, which laid the foundations for Modern Portfolio Theory (MPT)?
AWilliam Sharpe
BEugene Fama
✓Harry Markowitz
DMerton Miller
💡 The text states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz.'
Q18MCQ · 1 markMediumMPT Assumptions
Which of the following is NOT an assumption of Modern Portfolio Theory (MPT)?
AInvestors maximize one-period expected utility.
BInvestors base decisions solely on expected return and risk.
✓Utility curves demonstrate increasing marginal utility of wealth.
DInvestors estimate the risk of the portfolio based on the variability of expected returns of constituent assets.
💡 The text states, "Utility curves demonstrate diminishing marginal utility of wealth." Therefore, 'increasing marginal utility of wealth' is not an assumption of MPT.
Q19MCQ · 1 markMediumInvestor Types
According to Modern Portfolio Theory, a risk-neutral investor evaluates investment opportunities primarily based on:
AThe certainty equivalent rate being below the risk-free rate.
BAn upward adjustment for utility for a fair game.
✓Expected return, with no regard to the amount of risk.
DThe demand for a greater risk premium for higher risk.
💡 The text states, "A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person."
Q20MCQ · 1 markHardInvestor Types
An investor who evaluates investment opportunities solely on the basis of expected return, with no regard to risk, and for whom the portfolio Certainty Equivalent Rate (CER) is equal to the expected rate of return on the risky portfolio, is best described as a:
ARisk-averse investor
BRisk-seeking investor
✓Risk-neutral investor
DSpeculative investor
💡 The text defines a risk-neutral investor as one who "evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person. Risk neutral person provide no penalty for risk. For risk neutral investor, portfolio CER is expected rate of return on the risky portfolio."
Q21MCQ · 1 markMediumInvestor Types
According to Modern Portfolio Theory (MPT) principles, which statement accurately describes a risk neutral investor?
AA risk neutral investor rejects a fair game and invests only in risk-free opportunities.
✓A risk neutral investor evaluates investment opportunities solely on the basis of expected return, with no regard to risk.
CA risk neutral investor makes an upward adjustment for utility when engaging in a fair game.
DFor a risk neutral investor, the Certainty Equivalent Rate (CER) for a risky portfolio is typically below the risk-free rate of return.
💡 The text states, "A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person. Risk neutral person provide no penalty for risk."
Q22MCQ · 1 markMediumInvestor Types
Which type of investor evaluates investment opportunities solely on the basis of expected return, with no regard to risk, and provides no penalty for risk?
ARisk-averse investor
BRisk-seeking investor
✓Risk-neutral investor
DSpeculative investor
💡 The text defines a risk neutral investor as 'the one who on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person. Risk neutral person provide no penalty for risk.'
Q23MCQ · 1 markMediumExpected Return Calculation
Based on the provided scenario in the chapter, what is the expected return for Stock B?
A9.9%
✓17.7%
C15.0%
D10.0%
💡 The expected return for Stock B (RB) is calculated as the sum of potential returns multiplied by their corresponding probabilities:
RB = (0.3 * 25%) + (0.5 * 20%) + (0.2 * 1%)
RB = 7.5% + 10% + 0.2%
RB = 17.7%
This calculation is explicitly shown in the chapter text.
Q24MCQ · 1 markEasyInvestor Types
Which type of investor will reject a 'fair game' as defined in Modern Portfolio Theory?
ARisk-seeking investor
BRisk-neutral investor
✓Risk-averse investor
DSpeculative investor
💡 The text states: 'A prospect that has a zero risk premium is called a fair game. Risk averse investors reject fair game.'
Q25MCQ · 1 markEasyDiversification
According to Modern Portfolio Theory, what happens to the benefit of diversification when two assets have a perfect positive correlation between their returns?
AMaximum diversification benefit is achieved.
✓There is no benefit of diversification.
CRisk can be completely eliminated.
DThe portfolio return will be non-linear.
💡 The text explicitly states: "In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them."
Q26MCQ · 1 markEasyModern Portfolio Theory
Who authored the article 'Portfolio Selection' in 1952, which laid the foundation for Modern Portfolio Theory (MPT)?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DMerton Miller
💡 The text states: 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz.'
Q27MCQ · 1 markMediumMPT Assumptions
According to Modern Portfolio Theory (MPT), which of the following statements accurately describes an investor's preference regarding risk and return?
AInvestors primarily seek to maximize return, disregarding the level of risk.
BGiven a choice between two assets with equal expected returns, investors will select the asset with higher risk for potential higher gains.
✓Investors want to maximize the return for a given level of risk, or equivalently, minimize risk for a given level of return.
DInvestors base decisions solely on expected return, with utility curves being a function of expected return only.
💡 The text states, "An investor wants to maximize the return for a given level of risk. That means given a choice between two assets with equal rate of return, investors will select the asset with lower risk." It also mentions, "Investors base decisions solely on expected return and risk, so their utility curves are a function of expected return and the expected variance (or standard deviation) of returns only."
Q28MCQ · 1 markEasyInvestor Types
According to the Modern Portfolio Theory, which type of investor will reject a 'fair game' and demand a positive expected risk premium for bearing risk?
ARisk neutral investor
BRisk seeking investor
✓Risk averse investor
DSpeculative investor
💡 The text states: 'Risk averse investors reject fair game. Risk averse investors will invest in risk-free investment opportunities or in investment opportunities with positive expected risk premium.'
Q29MCQ · 1 markEasyAsset Allocation
According to the text, which of the following statements best describes the asset allocation decision?
AIt is the process of selecting individual securities within a specific asset class.
BIt involves forecasting the daily price movements of various stocks.
✓It is the process of deciding how to distribute an investor’s wealth into different asset classes.
DIt is an isolated decision that has minimal impact on long-term portfolio performance.
💡 The text states: 'Asset allocation is the process of deciding how to distribute an investor’s wealth into different asset classes for investment purposes.' It also highlights its importance, noting it 'majorly influences the performance of investment portfolios' in the long run, making option D incorrect.
Q30MCQ · 1 markMediumEfficient Frontier
What characteristic defines portfolios that lie on the Efficient Frontier?
AThey offer the highest possible risk for a given level of return.
BThey provide the lowest expected return for the lowest risk.
✓They offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
DThey are sub-optimal because they do not provide enough return for the level of risk.
💡 The text states: 'It is a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q31MCQ · 1 markEasyModern Portfolio Theory
Who is credited with authoring the article “Portfolio Selection” in 1952, which laid the foundations for Modern Portfolio Theory (MPT)?
AWarren Buffett
✓Harry Markowitz
CJohn Bogle
DBenjamin Graham
💡 The text states, "In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. ...The ideas introduced in this article have come to form the foundations of what is now popularly referred as Modern Portfolio Theory (MPT)."
Q32MCQ · 1 markEasyAsset Allocation
According to the text, what is considered the 'starting point' for an investor setting out to achieve their goals, and majorly influences long-run portfolio performance?
ASelection of individual products within an asset class.
BDaily monitoring of market fluctuations.
✓The asset allocation decision.
DAdjusting the portfolio based on short-term market trends.
💡 The text states: 'Asset allocation decision is a very important investment decision. This is the starting point for the investor as they set out to achieve their goals. Professional Investment experience has been suggesting that in the long run asset-allocation decision majorly influences the performance of investment portfolios.'
Q33MCQ · 1 markEasyModern Portfolio Theory
Who is credited with introducing the ideas that form the foundations of Modern Portfolio Theory (MPT) in his 1952 article "Portfolio Selection"?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DRobert Merton
💡 The text states: "In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. ... The ideas introduced in this article have come to form the foundations of what is now popularly referred as Modern Portfolio Theory (MPT)."
Q34MCQ · 1 markHardEfficient Frontier
Portfolios that lie to the right of the efficient frontier are considered sub-optimal because:
AThey do not provide enough return for the level of risk.
✓They have a higher risk for the given rate of return.
CThey offer the highest expected return for a given level of risk.
DThey represent the lowest risk for a given level of expected return.
💡 The text states, 'Portfolios that are to the right of the efficient frontier are sub-optimal because they have a higher risk for the given rate of return.'
Q35MCQ · 1 markMediumInvestor Types
A risk neutral investor evaluates investment opportunities primarily based on which of the following criteria?
AThe expected return, with a significant penalty for higher risk.
BThe Certainty Equivalent Rate (CER) which is always lower than the expected rate of return for risky portfolios.
✓The expected return, without regard to the amount of risk involved.
DThe potential for engaging in a fair game, making an upward adjustment for utility.
💡 The text states, "A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person. Risk neutral person provide no penalty for risk."
Based on the following forecast for Stock A in three possible scenarios:
Boom: Probability 0.3, Return 15%
Normal: Probability 0.5, Return 10%
Recession: Probability 0.2, Return 2%
What is the expected return of Stock A?
✓9.9%
B10.5%
C11.2%
D12.0%
💡 As per the text's example: Expected Return (RA) = (0.3 * 15%) + (0.5 * 10%) + (0.2 * 2%) = 4.5% + 5% + 0.4% = 9.9%
Q37MCQ · 1 markEasyModern Portfolio Theory
Who authored the 1952 article 'Portfolio Selection' which laid the foundation for Modern Portfolio Theory (MPT)?
✓Harry Markowitz
BWilliam Sharpe
CMerton Miller
DFranco Modigliani
💡 The text states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz.'
Q38MCQ · 1 markMediumInvestor Types
An investor who evaluates investment opportunities solely based on expected return, with no regard for the amount of risk, is best described as a:
ARisk-averse investor
BRisk-seeking investor
✓Risk-neutral investor
DPrudent investor
💡 The text defines a risk-neutral investor as one who "evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person."
Q39MCQ · 1 markMediumInvestor Types
An investor who evaluates investment opportunities solely on the basis of expected return, with no regard to risk, is known as a:
ARisk-averse investor
✓Risk-neutral investor
CRisk-seeking investor
DDiversified investor
💡 The text states: 'A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person. Risk neutral person provide no penalty for risk.'
Q40MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 50 securities, how many weighted covariance terms would be required to calculate the portfolio variance?
A50
✓1225
C2450
D2500
💡 The text provides the formula for the number of covariance terms: (n^2 - n) / 2, where 'n' is the number of securities. For n = 50, the calculation is (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q41MCQ · 1 markMediumCorrelation and Diversification
According to the text, when two securities are perfectly correlated, what is the implication for diversification benefits?
ADiversification benefits are maximized.
✓There is no benefit of diversification.
CThe portfolio return is unpredictable.
DThe standard deviation of the portfolio is always zero.
💡 The text states, 'In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them.'
Q42MCQ · 1 markEasyModern Portfolio Theory
Which of the following concepts did Harry Markowitz introduce to quantify the benefits of diversification within Modern Portfolio Theory (MPT)?
✓The statistical notion of covariance or correlation between investment assets.
BThe concept of efficient market hypothesis.
CThe principle of arbitrage pricing theory.
DThe formula for calculating beta of a security.
💡 According to the text, "MPT quantified the concept of diversification by introducing the statistical notion of covariance, or correlation between investment assets. Harry Markowitz mathematically demonstrated that the variance of the rate of return is a meaningful measure of portfolio risk."
Q43MCQ · 1 markMediumPortfolio Return Calculation
A portfolio consists of four securities with the following weights and expected returns:
Security A: Weight 0.2, Expected Return 0.09
Security B: Weight 0.1, Expected Return 0.12
Security C: Weight 0.3, Expected Return 0.15
Security D: Weight 0.4, Expected Return 0.18
What is the Expected Return of this portfolio?
✓0.147
B0.135
C0.150
D0.162
💡 As per the text's example:
Weighted return A = 0.2 * 0.09 = 0.018
Weighted return B = 0.1 * 0.12 = 0.012
Weighted return C = 0.3 * 0.15 = 0.045
Weighted return D = 0.4 * 0.18 = 0.072
Total Expected Return = 0.018 + 0.012 + 0.045 + 0.072 = 0.147
Q44MCQ · 1 markMediumMPT Assumptions
One of the key assumptions of Modern Portfolio Theory (MPT) regarding investor behavior is that investors want to:
AMaximize return regardless of the level of risk.
BMinimize risk regardless of the expected return.
✓Maximize the return for a given level of risk.
DMaximize utility by choosing assets with the highest historical returns.
💡 The text lists as an assumption: 'An investor wants to maximize the return for a given level of risk. That means given a choice between two assets with equal rate of return, investors will select the asset with lower risk.'
Q45MCQ · 1 markHardPortfolio Risk Calculation
If a portfolio consists of 50 investments, how many weighted covariance terms would be present in the portfolio variance formula?
A50
✓1225
C2450
D2500
💡 The text provides the formula for the number of covariance terms: (n^2 - n) / 2, where n is the number of securities.
For n = 50, the number of covariance terms = (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225. This is also directly stated as an example in the text.
Q46MCQ · 1 markMediumEfficient Frontier
Which of the following best describes the 'Efficient Frontier' in the context of Modern Portfolio Theory?
AA curve showing portfolios that are sub-optimal due to high risk.
BThe line connecting two perfectly correlated securities.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
DA graph illustrating the diminishing marginal utility of wealth.
💡 The text defines the Efficient Frontier as 'a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q47MCQ · 1 markEasyModern Portfolio Theory Fundamentals
Who is credited with introducing the ideas that form the foundations of Modern Portfolio Theory (MPT) in his 1952 article "Portfolio Selection"?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DRobert Merton
💡 The text states, "In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. ... The ideas introduced in this article have come to form the foundations of what is now popularly referred as Modern Portfolio Theory (MPT)."
Q48MCQ · 1 markHardEfficient Frontier
The 'Efficient Frontier' in Modern Portfolio Theory represents:
AA collection of sub-optimal portfolios that offer lower return for a given risk level.
BThe maximum possible risk for the highest achievable return.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
DPortfolios that are to the right of the umbrella-shaped curve, indicating higher risk for a given return.
💡 The text defines the Efficient Frontier as 'a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q49MCQ · 1 markEasyMPT Fundamentals
Who is credited with introducing Modern Portfolio Theory (MPT) and quantifying the concept of diversification?
✓Harry Markowitz
BSimon Benninga
CJohn Bogle
DBenjamin Graham
💡 The text states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. Decades later in 1990, Harry Markowitz was honoured with the Nobel Prize in Economics for his portfolio theory.'
Q50MCQ · 1 markMediumInvestor Types
How does a risk neutral investor evaluate investment opportunities, according to the text?
ABy making an upward adjustment for utility for risky investments.
BBy considering only investments with a positive expected risk premium.
✓Solely on the basis of expected return with no regard to risk.
DBy assigning a Certainty Equivalent Rate (CER) below the risk-free rate of return for risky portfolios.
💡 The text states, 'A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person.'
Q51MCQ · 1 markMediumCalculation of Expected Return
Based on the provided data for Stock A, what is its expected return?
State | Probability | Return A
---|---|---
Boom | 0.3 | 15%
Normal | 0.5 | 10%
Recession | 0.2 | 2%
A17.7%
✓9.9%
C10.0%
D12.3%
💡 The expected return is calculated as the sum of potential returns multiplied by their corresponding probabilities.
RA = (0.3 * 15%) + (0.5 * 10%) + (0.2 * 2%)
RA = 4.5% + 5.0% + 0.4%
RA = 9.9%
Q52MCQ · 1 markEasyDiversification
According to the provided text, what is the primary benefit of diversification in investments?
AMaximizing individual asset returns.
✓Reducing overall portfolio risk.
CIncreasing the number of investment opportunities.
DSimplifying portfolio management.
💡 The text states, 'Diversification is nothing but spreading out the investments across different areas or asset classes to reduce risk as every asset will not behave similarly at all times.'
Q53MCQ · 1 markMediumPortfolio Risk Calculation
For a portfolio of 'n' securities, what is the formula provided in the text to determine the number of covariance terms required for calculating portfolio variance?
An * (n - 1)
✓(n^2 - n) / 2
Cn^2
Dn / 2
💡 The text states, 'The number of covariance terms is arrived by using the formula: (n^2 - n) / 2 where n is the number of securities in the portfolio.'
Q54MCQ · 1 markEasyDiversification
According to the provided text, what is the primary benefit of diversification in investments?
AMaximizing returns in all market conditions.
✓Reducing overall portfolio risk.
CEnsuring constant returns across all assets.
DEliminating the need for active portfolio management.
💡 The text states, 'Diversification is nothing but spreading out the investments across different areas or asset classes to reduce risk as every asset will not behave similarly at all times.'
Q55MCQ · 1 markMediumMPT Assumptions
One of the key assumptions of Modern Portfolio Theory (MPT) regarding investor utility curves is that they demonstrate:
AIncreasing marginal utility of wealth.
BConstant marginal utility of wealth.
✓Diminishing marginal utility of wealth.
DZero marginal utility of wealth.
💡 The text states: 'Utility curves demonstrate diminishing marginal utility of wealth.'
Q56MCQ · 1 markEasyModern Portfolio Theory
According to Modern Portfolio Theory (MPT), what statistical notion was introduced to quantify the concept of diversification?
AStandard deviation
BVariance of individual assets
✓Covariance or correlation between investment assets
DExpected rate of return
💡 The text states, 'MPT quantified the concept of diversification by introducing the statistical notion of covariance, or correlation between investment assets.'
Q57MCQ · 1 markMediumEfficient Frontier
In the context of Modern Portfolio Theory, what does the Efficient Frontier represent?
AA curve showing the highest possible returns for all levels of risk.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
CPortfolios that are sub-optimal because they provide too much return for the level of risk.
DThe line representing portfolios formed by two perfectly correlated securities, showing no diversification benefit.
💡 The text defines the Efficient Frontier as 'a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.' Option A is incorrect as it refers to 'all levels of risk' rather than optimal for a 'given level of risk.' Option C incorrectly describes sub-optimal portfolios. Option D describes the risk-return opportunity set for perfectly correlated securities, not the Efficient Frontier itself.
Q58MCQ · 1 markEasyAsset Allocation
According to professional investment experience, which decision majorly influences the long-run performance of investment portfolios?
AThe choice of individual products within an asset class.
BDaily market timing decisions.
✓The asset allocation decision.
DTax planning strategies.
💡 The text states: 'Professional Investment experience has been suggesting that in the long run asset-allocation decision majorly influences the performance of investment portfolios. Choice of individual products within an asset class is relevant, but contributes less than the overall allocation, to the end-result.'
Q59MCQ · 1 markHardEfficient Frontier
A portfolio that lies to the right of the Efficient Frontier is considered sub-optimal because it:
AOffers the highest expected return for a given level of risk.
BProvides a lower risk for a given level of expected return.
✓Has a higher risk for the given rate of return.
DDoes not provide enough return for the level of risk.
💡 The text states: "Portfolios that are to the right of the efficient frontier are sub-optimal because they have a higher risk for the given rate of return." Option D describes portfolios that lie *below* the efficient frontier.
Q60MCQ · 1 markEasyModern Portfolio Theory
Who was honored with the Nobel Prize in Economics for his portfolio theory, which introduced the foundations of Modern Portfolio Theory (MPT)?
✓Harry Markowitz
BSimon Benninga
CJohn Maynard Keynes
DEugene Fama
💡 The text states, "Decades later in 1990, Harry Markowitz was honoured with the Nobel Prize in Economics for his portfolio theory."
Q61MCQ · 1 markEasyModern Portfolio Theory
Who authored the article 'Portfolio Selection' in 1952, which laid the foundations for Modern Portfolio Theory (MPT)?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DRobert Merton
💡 The text states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz.'
Q62MCQ · 1 markEasyEfficient Frontier
What does the 'Efficient Frontier' represent in the context of Modern Portfolio Theory?
AA straight line connecting two perfectly correlated securities, showing no diversification benefit.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
CThe process of distributing an investor’s wealth into different asset classes for investment purposes.
DA portfolio where the certainty equivalent rate is equal to the expected rate of return on the risky portfolio.
💡 The text defines the Efficient Frontier as 'a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q63MCQ · 1 markMediumPortfolio Expected Return
Calculate the Expected Return of a Portfolio given the following constituents and their weights:
A0.125
✓0.147
C0.150
D0.138
💡 Expected Return of a Portfolio = (Weight A * Return A) + (Weight B * Return B) + (Weight C * Return C) + (Weight D * Return D)
= (0.2 * 0.09) + (0.1 * 0.12) + (0.3 * 0.15) + (0.4 * 0.18)
= 0.018 + 0.012 + 0.045 + 0.072 = 0.147. This matches the example calculation in the text.
Q64MCQ · 1 markHardMPT Estimation Issues
The potential source of error that arises from estimating returns, risk, and correlations among securities for portfolio construction is referred to as:
AMarket Risk
BIdiosyncratic Risk
✓Estimation Risk
DSystematic Risk
💡 The text explicitly mentions, 'The potential source of error that arises from these estimations is referred to as estimation risk.'
Q65MCQ · 1 markHardPortfolio Risk Calculation
If a portfolio consists of 30 different securities, how many weighted covariance terms would be required to calculate the portfolio variance?
A30
✓435
C870
D900
💡 The number of covariance terms is calculated using the formula: (n^2 - n) / 2, where n is the number of securities in the portfolio.
For n = 30 securities:
Number of covariance terms = (30^2 - 30) / 2
= (900 - 30) / 2
= 870 / 2
= 435
Q66MCQ · 1 markMediumPortfolio Optimization
Which of the following is NOT listed as a required input for a portfolio manager when using the MPT framework for constructing and selecting a portfolio?
AThe expected return of every asset class.
BThe standard deviation of each asset’s expected returns.
✓The historical performance of the overall market index.
DThe correlation coefficient among the entire set of investment opportunities.
💡 The text lists three required inputs for MPT framework: "1. the expected return of every asset class, securities and investment opportunities... 2. the standard deviation of each asset’s expected returns 3. the correlation coefficient among the entire set of asset class, securities and investment opportunities." Historical performance of the overall market index is not explicitly listed as a direct input for the MPT framework itself, although it might be used to estimate these inputs.
Q67MCQ · 1 markEasyModern Portfolio Theory
Who authored the article "Portfolio Selection" in 1952, which laid the foundations for what is now popularly referred to as Modern Portfolio Theory (MPT)?
✓Harry Markowitz
BSimon Benninga
CJohn Maynard Keynes
DEugene Fama
💡 The text states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz.'
Q68MCQ · 1 markEasyEfficient Frontier
What does the 'Efficient Frontier' represent in the context of Modern Portfolio Theory?
AA set of portfolios that offer the lowest expected return for the highest level of risk.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
CPortfolios that lie below the efficient frontier, offering sub-optimal risk-return profiles.
DA straight line connecting two perfectly correlated securities, showing no diversification benefits.
💡 The text states, "Efficient frontier shows, for a given level of risk, what should be the expected to optimum return. It is a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return."
Q69MCQ · 1 markMediumInvestor Types
According to Modern Portfolio Theory, which type of investor evaluates investment opportunities solely on the basis of expected return, with no regard to the amount of risk involved?
ARisk Averse Investor
BRisk Seeking Investor
✓Risk Neutral Investor
DHighly Risk Averse Investor
💡 The text states, 'A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person.'
Q70MCQ · 1 markHardEfficient Frontier
Which of the following statements accurately describes portfolios that lie to the right of the efficient frontier?
AThey offer the highest expected return for a given level of risk.
BThey are optimal portfolios because they maximize utility.
✓They are sub-optimal because they have a higher risk for the given rate of return.
DThey are considered efficient as they represent the lowest possible risk.
💡 The text states, 'Portfolios that are to the right of the efficient frontier are sub-optimal because they have a higher risk for the given rate of return.'
Q71MCQ · 1 markMediumPortfolio Optimization
According to the Modern Portfolio Theory framework, what are the three key estimates a portfolio manager is required to make for constructing and selecting a portfolio?
AHistorical returns, market capitalization, and dividend yield.
✓Expected return of every asset, standard deviation of each asset's expected returns, and correlation coefficient among all assets.
CInflation rate, interest rates, and GDP growth.
DInvestor's age, income, and liquidity needs.
💡 The text lists the required estimates as: '1. the expected return of every asset class, securities and investment opportunities which are part of investment universe; 2. the standard deviation of each asset’s expected returns; 3. the correlation coefficient among the entire set of asset class, securities and investment opportunities.'
Q72MCQ · 1 markEasyAsset Allocation
According to the text, what is the primary long-term impact of the asset allocation decision on investment portfolios?
AIt primarily influences the choice of individual products within an asset class.
BIt has a minor influence on the overall portfolio management process.
✓It majorly influences the performance of investment portfolios.
DIt is an isolated decision separate from overall portfolio management.
💡 The text states, 'Professional Investment experience has been suggesting that in the long run asset-allocation decision majorly influences the performance of investment portfolios.'
Q73MCQ · 1 markHardPortfolio Risk Calculation
A portfolio manager is constructing a portfolio comprising 70 different securities. Based on the Modern Portfolio Theory framework, how many unique covariance terms would need to be estimated for this portfolio?
A70
✓2415
C4830
D4900
💡 The number of covariance terms is arrived by using the formula: (n^2 - n) / 2, where n is the number of securities in the portfolio.
For n = 70:
Number of covariance terms = (70^2 - 70) / 2
= (4900 - 70) / 2
= 4830 / 2
= 2415
Q74MCQ · 1 markMediumInvestor Types
According to Modern Portfolio Theory, a risk-neutral investor evaluates investment opportunities solely based on:
AThe potential for capital appreciation.
✓The expected return, with no regard to risk.
CThe historical performance of the asset.
DThe correlation coefficient with other assets.
💡 The text states: 'A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk.'
Q75MCQ · 1 markMediumAsset Allocation
According to professional investment experience mentioned in the text, what majorly influences the long-run performance of investment portfolios?
AChoice of individual products within an asset class.
BMarket timing decisions by the fund manager.
✓The asset allocation decision.
DFrequent rebalancing of the portfolio.
💡 The text states, 'Professional Investment experience has been suggesting that in the long run asset-allocation decision majorly influences the performance of investment portfolios. ...Choice of individual products within an asset class is relevant, but contributes less than the overall allocation, to the end-result.'
Q76MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio with 'n' number of securities, what formula is used to determine the number of covariance terms?
An * (n - 1)
Bn^2
✓(n^2 - n) / 2
Dn + (n - 1)
💡 The text explicitly states, 'The number of covariance terms is arrived by using the formula: n^2−n / 2 where n is the number of securities in the portfolio.'
Q77MCQ · 1 markMediumAssumptions of MPT
Which of the following is an assumption of Modern Portfolio Theory (MPT) regarding investors' utility?
AInvestors maximize two-period expected utility.
BUtility curves demonstrate increasing marginal utility of wealth.
✓Investors maximize one-period expected utility.
DInvestors base decisions solely on historical returns, not risk.
💡 Under '14.2 Assumptions of the theory', the text states: 'Investors maximize one-period expected utility.' It also mentions 'Utility curves demonstrate diminishing marginal utility of wealth,' making option B incorrect.
Q78MCQ · 1 markEasyEfficient Frontier
Portfolios that lie to the right of the efficient frontier are considered:
AOptimal, as they provide the highest expected return for any given risk.
✓Sub-optimal, because they have a higher risk for the given rate of return.
CSub-optimal, because they do not provide enough return for the level of risk.
DFeasible, but not preferred by risk-averse investors.
💡 The text states, "Portfolios that are to the right of the efficient frontier are sub-optimal because they have a higher risk for the given rate of return."
Q79MCQ · 1 markMediumExpected Return Calculation
Based on the provided data, what is the expected return of Stock B?
A10.1%
✓17.7%
C15.0%
D20.0%
💡 The expected return of Stock B (RB) is calculated as: RB = (0.3 * 25%) + (0.5 * 20%) + (0.2 * 1%) = 7.5% + 10% + 0.2% = 17.7%.
Q80MCQ · 1 markMediumMPT Assumptions
One of the key assumptions of Modern Portfolio Theory (MPT) regarding investor behavior is that investors:
APrimarily seek to minimize risk, even at the expense of lower returns.
✓Maximize one-period expected utility and assign utility scores to portfolio choices.
CAre indifferent to the variability of expected returns of constituent assets.
DBase decisions solely on market sentiment and recent performance trends.
💡 The text explicitly lists as an assumption: "Investors maximize one-period expected utility. Investors choose an action or event with the maximum expected utility. Investors assign utility scores to the various portfolio choices available to them."
Q81MCQ · 1 markMediumPortfolio Risk and Diversification
According to Modern Portfolio Theory, if two securities are perfectly correlated, what is the impact on the benefits of diversification when forming a portfolio with these two securities?
ADiversification benefits are maximized, leading to the lowest possible risk.
✓There is no benefit of diversification as the risk-return opportunity set is a straight line.
CDiversification benefits are moderate, reducing risk but not significantly.
DThe portfolio's expected return will be lower than the individual securities.
💡 The text states, "If two securities are perfectly correlated, the risk–return opportunity set is represented by a straight line connecting those two securities. ... In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them."
Q82MCQ · 1 markMediumMPT Assumptions
Which of the following is NOT an assumption of Modern Portfolio Theory (MPT) as described in the text?
AInvestors want to maximize return for a given level of risk.
BInvestors maximize one-period expected utility.
✓Utility curves demonstrate increasing marginal utility of wealth.
DInvestors base decisions solely on expected return and risk.
💡 The text states, 'Utility curves demonstrate diminishing marginal utility of wealth.' Options A, B, and D are explicitly listed as assumptions of MPT.
Q83MCQ · 1 markMediumMPT Assumptions
One of the core assumptions of Modern Portfolio Theory (MPT) regarding investor behavior is that an investor wants to:
AMaximize risk for a given level of return.
✓Maximize return for a given level of risk.
CMinimize return for a given level of risk.
DMinimize both risk and return simultaneously.
💡 The text states, 'An investor wants to maximize the return for a given level of risk. That means given a choice between two assets with equal rate of return, investors will select the asset with lower risk.'
Q84MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio comprising 50 different securities, how many weighted covariance terms would be required for the portfolio variance calculation, according to the formula provided in the chapter?
A50
✓1225
C2450
D2500
💡 The formula for the number of covariance terms is (n^2 - n) / 2, where 'n' is the number of securities.
For n = 50 securities:
Number of covariance terms = (50^2 - 50) / 2
= (2500 - 50) / 2
= 2450 / 2
= 1225
The text also explicitly states: "Similarly, in a 50 investments portfolio, there would be 50 individual investments’ weighted variances and 1225 weighted co variances between 50 investments."
Q85MCQ · 1 markMediumInvestor Types
A risk-neutral investor evaluates investment opportunities primarily based on which of the following?
AThe potential for upward adjustment of utility.
✓The expected return, without regard to the amount of risk involved.
CThe certainty equivalent rate being below the risk-free rate of return.
DThe demand for a positive risk premium for bearing risk.
💡 The text states, "A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person."
Q86MCQ · 1 markEasyModern Portfolio Theory
According to Modern Portfolio Theory (MPT), what statistical concept was introduced to quantify the benefits of diversification?
AStandard deviation
BBeta
✓Covariance
DAlpha
💡 The text explicitly states that MPT "quantified the concept of diversification by introducing the statistical notion of covariance, or correlation between investment assets."
Q87MCQ · 1 markMediumMPT Inputs
According to the MPT framework for portfolio construction, which of the following is NOT explicitly listed as an input required from the portfolio manager?
AThe expected return of every asset class.
BThe standard deviation of each asset’s expected returns.
✓The historical beta of each security.
DThe correlation coefficient among the entire set of investment opportunities.
💡 Section 14.7 'Portfolio Optimization process' lists the required estimations as: '1. the expected return of every asset class, securities and investment opportunities... 2. the standard deviation of each asset’s expected returns 3. the correlation coefficient among the entire set of asset class, securities and investment opportunities'. Historical beta is not mentioned as a required input.
Q88MCQ · 1 markMediumAsset Allocation
According to professional investment experience mentioned in the text, what decision primarily influences the long-run performance of investment portfolios?
AThe choice of individual products within an asset class.
✓The asset allocation decision.
CThe frequency of portfolio rebalancing.
DThe selection of a portfolio manager.
💡 The text states, 'Professional Investment experience has been suggesting that in the long run asset-allocation decision majorly influences the performance of investment portfolios.'
Q89MCQ · 1 markMediumRisk Aversion
A highly risk-averse investor, when comparing a risky portfolio to a risk-free investment, may assign the risky portfolio a Certainty Equivalent Rate (CER) that is:
AEqual to the expected rate of return on the risky portfolio.
BAbove the risk-free rate of return and accept the investment.
✓Below the risk-free rate of return and reject the investment.
DIrrelevant to their investment decision.
💡 The text says, 'A highly risk averse investor may assign a risky portfolio with a CER below the risk-free rate of return and reject investments into risky portfolio.'
Q90MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 'n' securities, what is the formula used to determine the number of weighted covariance terms required for portfolio variance calculation?
An^2
Bn * (n - 1)
✓(n^2 - n) / 2
Dn / 2
💡 The text states: 'The number of covariance terms is arrived by using the formula: (n^2 - n) / 2 where n is the number of securities in the portfolio.'
Q91MCQ · 1 markMediumMPT Assumptions
Which of the following is NOT an assumption of the Modern Portfolio Theory (MPT) as described in the text?
AInvestors want to maximize return for a given level of risk.
BInvestors base decisions solely on expected return and risk.
✓Utility curves demonstrate increasing marginal utility of wealth.
DInvestors maximize one-period expected utility.
💡 The text states, "Utility curves demonstrate diminishing marginal utility of wealth." Options A, B, and D are explicitly listed as assumptions of MPT.
Q92MCQ · 1 markHardExpected Return Calculation
Based on the provided data, calculate the expected return for Stock A:
State I (Boom): Probability 0.3, Return 15%
State II (Normal): Probability 0.5, Return 10%
State III (Recession): Probability 0.2, Return 2%
✓9.9%
B17.7%
C10.5%
D12.0%
💡 Expected rate of return (RA) is the sum of potential returns multiplied by their corresponding probabilities:
RA = (0.3 * 15%) + (0.5 * 10%) + (0.2 * 2%)
RA = 4.5% + 5.0% + 0.4%
RA = 9.9%
Q93MCQ · 1 markEasyModern Portfolio Theory Fundamentals
Who is credited with introducing the ideas that form the foundations of Modern Portfolio Theory (MPT) in 1952?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DRobert Merton
💡 The text states, "In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. ... The ideas introduced in this article have come to form the foundations of what is now popularly referred as Modern Portfolio Theory (MPT)."
Q94MCQ · 1 markEasyModern Portfolio Theory
Who is credited with introducing Modern Portfolio Theory (MPT) and publishing the seminal article "Portfolio Selection" in 1952?
✓Harry Markowitz
BWilliam Sharpe
CEugene Fama
DRobert Merton
💡 The text states that in 1952, The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz. He was later honoured with the Nobel Prize in Economics for his portfolio theory, which forms the foundations of Modern Portfolio Theory (MPT).
Q95MCQ · 1 markEasyMPT Assumptions
According to Modern Portfolio Theory (MPT), which of the following best describes an investor's primary objective when presented with two assets offering an equal rate of return?
ASelect the asset with higher risk to maximize potential gains.
✓Select the asset with lower risk.
CBe indifferent between the two assets as returns are equal.
DSelect the asset based on its historical performance only.
💡 One of the assumptions of MPT is: 'An investor wants to maximize the return for a given level of risk. That means given a choice between two assets with equal rate of return, investors will select the asset with lower risk.'
Q96MCQ · 1 markHardGraphical Presentation of Risk/Return
When two securities in a portfolio are perfectly correlated, how is their risk-return opportunity set represented graphically, and what does it imply for diversification benefits?
✓A straight line, indicating no benefit of diversification.
BA curved line, indicating significant diversification benefits.
CAn umbrella-shaped curve, representing the efficient frontier.
DA single point on the graph, as risk is eliminated.
💡 The text states: 'If two securities are perfectly correlated, the risk–return opportunity set is represented by a straight line connecting those two securities... In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them.'
Q97MCQ · 1 markHardPortfolio Risk and Diversification
According to Modern Portfolio Theory, if two securities are perfectly correlated, what is the implication for diversification benefits and the graphical representation of their risk-return opportunity set?
ASignificant diversification benefits are achieved, and the opportunity set forms an umbrella-shaped curve.
✓No benefit of diversification is achieved, and the opportunity set is represented by a straight line.
CLimited diversification benefits are achieved, and the opportunity set shows a slight curve.
DDiversification benefits are maximized, and the opportunity set forms a concave curve.
💡 The text states: 'If two securities are perfectly correlated, the risk–return opportunity set is represented by a straight line connecting those two securities... In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them.'
What is 'estimation risk' in the context of constructing and selecting a portfolio using the MPT framework?
AThe risk associated with choosing an incorrect portfolio optimization software.
✓The potential source of error that arises from inaccurate estimations of returns, risk, and correlations among securities.
CThe risk that an investor's risk appetite changes over the holding period.
DThe error in graphically presenting portfolio risk/return of two securities.
💡 The text defines estimation risk as 'The potential source of error that arises from these estimations [returns, risk, and correlations] is referred to as estimation risk.'
Q99MCQ · 1 markMediumMPT Assumptions
Which of the following is an assumption of Modern Portfolio Theory (MPT)?
AInvestors want to maximize risk for a given level of return.
✓Investors base decisions solely on expected return and risk.
CUtility curves demonstrate increasing marginal utility of wealth.
DInvestors accept fair games without demanding a risk premium.
💡 One of the assumptions listed for MPT is: "Investors base decisions solely on expected return and risk, so their utility curves are a function of expected return and the expected variance (or standard deviation) of returns only." Option A contradicts the principle of maximizing return for a given risk. Option C contradicts 'diminishing marginal utility of wealth'. Option D describes a risk-seeking investor, not a general MPT assumption.
Q100MCQ · 1 markEasyPortfolio Construction Process
What is the primary purpose of asset allocation in the portfolio construction process?
ATo select individual securities that have the highest past returns.
✓To distribute an investor’s wealth into different asset classes.
CTo predict short-term market movements for tactical trading.
DTo minimize transaction costs across all investments.
💡 The text defines asset allocation as "the process of deciding how to distribute an investor’s wealth into different asset classes for investment purposes." It is described as a "very important investment decision" and the "starting point for the investor."
Q101MCQ · 1 markEasyAsset Allocation
What is defined as the process of deciding how to distribute an investor’s wealth into different asset classes for investment purposes?
ASecurity Selection
BPortfolio Rebalancing
✓Asset Allocation
DMarket Timing
💡 The text states, 'Asset allocation is the process of deciding how to distribute an investor’s wealth into different asset classes for investment purposes.'
Q102MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 'n' securities, what formula is used to determine the total number of weighted covariance terms required for portfolio variance calculation?
An
Bn^2
✓(n^2 - n) / 2
Dn * (n-1)
💡 The text states: 'The number of covariance terms is arrived by using the formula: (n^2 - n) / 2 where n is the number of securities in the portfolio.'
Q103MCQ · 1 markHardEstimation Issues
What is 'estimation risk' in the context of constructing and selecting a portfolio using the MPT framework?
AThe risk associated with choosing an incorrect asset allocation strategy.
✓The potential source of error that arises from the inaccurate estimation of statistical inputs like returns, risk, and correlations.
CThe risk that an investor's risk appetite changes over the investment horizon.
DThe uncertainty regarding future market conditions that affect portfolio performance.
💡 The text states: 'The potential source of error that arises from these estimations is referred to as estimation risk.' These estimations refer to 'returns, risk and correlations among the securities in the investment universe.'
Q104MCQ · 1 markMediumEfficient Frontier
The 'Efficient Frontier' in Modern Portfolio Theory represents:
AA set of portfolios that provide the lowest return for the highest risk.
BA collection of sub-optimal portfolios that should be avoided.
✓A set of optimal portfolios offering the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
DThe boundary beyond which no further diversification benefits can be achieved.
💡 The text states: 'Efficient frontier shows, for a given level of risk, what should be the expected to optimum return. It is a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q105MCQ · 1 markMediumEfficient Frontier
In the context of Modern Portfolio Theory, what does the 'Efficient Frontier' represent?
AA line showing the risk-return trade-off for perfectly correlated assets, indicating no diversification benefit.
BA set of sub-optimal portfolios that provide insufficient return for their level of risk.
✓A curve of optimal portfolios offering the highest expected return for a given level of risk or the lowest risk for a given expected return.
DPortfolios that are to the right of the optimal risk-return trade-off, indicating higher risk for a given return.
💡 The text defines the Efficient Frontier as "a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return." Options A, B, and D describe other concepts or sub-optimal portfolios.
Q106MCQ · 1 markMediumRisk Definitions
An investor who evaluates investment opportunities solely on the basis of expected return, with no regard to the level of risk, is best described as a:
ARisk-averse investor
BRisk-seeking investor
✓Risk-neutral investor
DUtility-maximizing investor
💡 The text states, 'A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person.'
Q107MCQ · 1 markMediumPortfolio Risk Calculation
If a portfolio consists of 50 individual securities, how many weighted covariance terms would be required to calculate the portfolio's variance?
A50
✓1225
C2450
D2500
💡 The text provides the formula for the number of covariance terms as (n^2 - n) / 2, where n is the number of securities. For n=50, the calculation is (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q108MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 50 individual securities, how many weighted covariance terms would be required for the calculation of the portfolio variance using the formula provided in the text?
A50
✓1225
C2450
D2500
💡 The text states that the number of covariance terms is arrived by using the formula: (n²-n)/2, where n is the number of securities in the portfolio. For n=50, the number of covariance terms = (50² - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q109MCQ · 1 markMediumModern Portfolio Theory Assumptions
Which of the following is an assumption of Modern Portfolio Theory (MPT)?
AInvestors prefer higher risk for a given level of return.
✓Investors maximize one-period expected utility.
CUtility curves demonstrate increasing marginal utility of wealth.
DInvestors base decisions solely on historical performance, disregarding future risk.
💡 The text lists as an assumption: "Investors maximize one-period expected utility. Investors choose an action or event with the maximum expected utility." Other options contradict the stated assumptions of MPT.
Q110MCQ · 1 markMediumEfficient Frontier
Which of the following statements accurately describes the Efficient Frontier in the context of Modern Portfolio Theory?
AIt represents portfolios that offer the lowest expected return for the highest level of risk.
BIt is a set of sub-optimal portfolios that provide insufficient return for a given risk level.
✓It shows the optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
DIt is a straight line connecting two securities that are perfectly negatively correlated.
💡 The text defines the Efficient Frontier as 'a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q111MCQ · 1 markMediumAssumptions of MPT
Which of the following is NOT an assumption of Modern Portfolio Theory (MPT)?
AInvestors want to maximize return for a given level of risk.
BInvestors assign utility scores to various portfolio choices available to them.
CInvestors base decisions solely on expected return and risk.
✓Investors are always risk-seeking and will engage in a fair game.
💡 The text lists several assumptions of MPT, including that investors want to maximize return for a given risk, assign utility scores, and base decisions solely on expected return and risk. While risk-seeking investors are defined, MPT's core framework and assumptions (e.g., diminishing marginal utility of wealth) do not state that investors are *always* risk-seeking; rather, it provides a framework for investors with varying risk appetites, often focusing on risk-averse behavior to optimize portfolios.
Q112MCQ · 1 markMediumInvestor Types
How does a risk neutral investor primarily evaluate investment opportunities, according to the text?
ABased on the potential for capital appreciation, regardless of risk.
✓Solely on the basis of expected return, without regard to the amount of risk.
CBased on the historical performance and volatility of the investment.
DBased on the Certainty Equivalent Rate (CER) relative to the risk-free rate.
💡 The text states, 'A risk neutral investor on the other hand evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person.'
Q113MCQ · 1 markHardPortfolio Risk & Correlation
What happens to the risk-return opportunity set when two securities are perfectly positively correlated, according to Modern Portfolio Theory?
AThe portfolio return and standard deviation become non-linear, creating diversification benefits.
BThe risk-return opportunity set is represented by an umbrella-shaped curve.
✓There is no benefit of diversification, and both expected return and standard deviation are linear combinations.
DThe portfolio's standard deviation can be reduced to zero by combining them appropriately.
💡 Section 14.5 states, 'If two securities are perfectly correlated, the risk–return opportunity set is represented by a straight line connecting those two securities... In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them. Both the expected return and standard deviation of expected return are linear combination, a graph of possible portfolio return and standard deviation is a straight line connecting the two securities.'
Q114MCQ · 1 markHardPortfolio Risk Calculation
For a portfolio consisting of 50 different securities, how many weighted covariance terms would typically be required to calculate the portfolio's variance?
A50
✓1225
C2450
D2500
💡 The text provides the formula for the number of covariance terms as (n^2 - n) / 2, where n is the number of securities. For n = 50, the number of covariance terms is (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q115MCQ · 1 markEasyEfficient Frontier
What does the 'Efficient Frontier' represent in the context of Modern Portfolio Theory (MPT)?
AA set of sub-optimal portfolios that provide lower returns for a given level of risk.
BA straight line connecting two perfectly correlated securities, showing no diversification benefits.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
DThe point where an investor's utility curve is tangent to the Capital Market Line.
💡 The text defines the Efficient Frontier as "a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return."
Q116MCQ · 1 markMediumEfficient Frontier
What does the 'Efficient Frontier' represent in Modern Portfolio Theory?
AA set of portfolios that offer the lowest expected return for the highest level of risk.
✓A set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.
CA curve showing portfolios that are sub-optimal due to high risk for a given return.
DThe boundary where all possible portfolio combinations are equally attractive.
💡 The text states, 'It is a set of optimal portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return.'
Q117MCQ · 1 markMediumPortfolio Optimization
Which of the following is NOT an input required by a portfolio manager for constructing and selecting a portfolio using the MPT framework?
AThe expected return of every asset class.
BThe standard deviation of each asset’s expected returns.
✓The historical performance of the overall market index.
DThe correlation coefficient among the entire set of asset classes.
💡 The text explicitly lists the required estimations as: '1. the expected return of every asset class, securities and investment opportunities... 2. the standard deviation of each asset’s expected returns 3. the correlation coefficient among the entire set of asset class, securities and investment opportunities'. Historical market index performance is not listed as a direct input for the MPT framework itself.
Q118MCQ · 1 markEasyInvestor Types
According to Modern Portfolio Theory, what type of investor evaluates investment opportunities solely on the basis of expected return, with no regard to risk?
ARisk Averse Investor
✓Risk Neutral Investor
CRisk Seeking Investor
DSpeculative Investor
💡 The text defines a risk neutral investor as one who 'evaluates the investment opportunities solely on the basis of expected return with no regard to risk. The amount of risk is irrelevant to the risk neutral person.'
Q119MCQ · 1 markHardPortfolio Risk Calculation
In a portfolio consisting of 50 individual investments, how many weighted covariance terms would be required for the calculation of the portfolio's variance, based on the formula provided in the text?
A50
✓1225
C2450
D2500
💡 The text provides the formula for the number of covariance terms as (n^2 - n) / 2, where n is the number of securities. For n = 50, the number of covariance terms = (50^2 - 50) / 2 = (2500 - 50) / 2 = 2450 / 2 = 1225.
Q120MCQ · 1 markMediumInvestor Utility
A risk averse investor will typically assign utility scores to competing portfolios in such a way that:
AHigher utility scores are assigned to portfolios with higher expected return and higher risk.
✓Higher utility scores are assigned to portfolios with higher expected return and lower risk.
CUtility scores are assigned solely based on expected return, irrespective of risk.
DThey make an upward adjustment for utility when engaging in a fair game.
💡 The text states for risk averse investors, 'Higher utility scores are assigned to those portfolios with better risk-return profile. Higher utility scores are assigned to portfolios with higher expected return and lower utility scores are assigned to portfolios with higher risk.'
Q121MCQ · 1 markEasyDiversification
When two securities are perfectly correlated, what is the effect on diversification benefits?
ADiversification benefits are maximized.
✓There is no benefit of diversification.
CDiversification benefits are moderate.
DThe risk-return opportunity set becomes an umbrella-shaped curve.
💡 The text states, 'In other words, there is no benefit of diversification when two assets are having perfect positive correlation between them.'
Q122MCQ · 1 markMediumMPT Assumptions
Which of the following is an assumption of Modern Portfolio Theory (MPT)?
AInvestors disregard the variability of expected returns.
✓Investors maximize one-period expected utility.
CInvestors assign utility scores only to risk-free investments.
DUtility curves demonstrate increasing marginal utility of wealth.
💡 The text lists as an assumption: 'Investors maximize one-period expected utility. Investors choose an action or event with the maximum expected utility.'
Q123MCQ · 1 markEasyModern Portfolio Theory Foundations
Who authored the article "Portfolio Selection" in 1952, which laid the foundations for Modern Portfolio Theory (MPT)?
AWilliam F. Sharpe
BEugene F. Fama
✓Harry Markowitz
DMerton Miller
💡 The text explicitly states, 'In 1952 The Journal of Finance published an article titled “Portfolio Selection”, authored by Harry Markowitz.'
Q124MCQ · 1 markEasyDiversification
Prior to 1950, what was the general understanding within the investing community regarding diversification?
ADiversification was unknown and not practiced.
✓The benefits of diversification were familiar but not quantified.
CDiversification was quantified using modern statistical methods.
DInvestors put all their eggs in one basket due to lack of information.
💡 The text states, 'Prior to 1950, investing community was familiar with the benefits of holding a diversified portfolio. However, they had no way of quantifying the benefits of diversification.'
Q125MCQ · 1 markMediumInvestor Types
For a risk-neutral investor, the portfolio's Certainty Equivalent Rate (CER) is equal to:
AThe risk-free rate of return.
✓The expected rate of return on the risky portfolio.
CA rate below the risk-free rate of return.
DA rate that makes an upward adjustment for utility.
💡 The text states: "For risk neutral investor, portfolio CER is expected rate of return on the risky portfolio."
About this content: These practice questions are based on the
NISM-Series-X-A: Investment Adviser (Level 1) Certification Examination Workbook
published by the National Institute of Securities Markets (NISM), Mumbai.
NISM is a SEBI-established institution. Questions cover Overview of Alternative Investment Funds with verified answers and explanations.
BullWiser is an independent exam preparation platform — not affiliated with NISM or SEBI.
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