Final Assignment

Which ones of the following statements about portfolio beta are correct? O 1. If portfolio beta is between 0 and 1, then the portfolio expected return is between risk-free rate and the market expected return. O 2. If the return of an asset has zero correlation with the market portfolio returns, the beta of this asset must be zero. O 3. A portfolio that has the same portfolio weights as the market portfolio should have a beta of 1. O 4. Diversification is not a way to reduce portfolio beta. O 5. If two portfolios have the same portfolio weights, but different dollar values, their betas are the same.

Suppose you have an investment portfolio with fraction x invested in a market portfolio and (1-x) in a risk- free asset. Increasing fraction x invested in the market portfolio and consequently decreasing (1-x) invested in the risk-free asset shall (select any correct answer, if there are multiple correct answers) Select one or more: O decrease the Sharpe ratio of the resulting portfolio O decrease the expected return of the resulting portfolio increase the Sharpe ratio of the resulting portfolio increase the expected return of the resulting portfolio Dincrease the risk of the resulting portfolio

1. The diversifiable risk of a portfolio: a. Is correlated with systematic risk. b. Can be made sufficiently small. c. Is zero in the real world. d. Is the risk that investors lose because of transaction costs. Which one of the following conditions determines the investor’s overall optimal portfolio? a. The marginal ratio of substitution of the investor’s utility function must be equal to the Sharpe ratio of the optimal risky portfolio. b. The standard-deviation of the overall portfolio in minimised. c. The expected return of the overall portfolio is maximised. d. The slope of the Sharpe-ratio is equal to zero. 4. Markets can never be strong-form efficient because: a. There are too many traders in them. b. Investors are rational. c. Information is costly to acquire. d. All information is public.  5. Which one of the following is not a property of a pure arbitrage portfolio? a. Zero investment. b. Zero systematic risk. c. Positive net return. d. All of the above.

4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and (a) If ro = 0.02, what are the market portfolio return and variance? What are the corre- sponding weights (i.e. how much to invest in asset 1, asset 2, and the risk-free asset to get the market portfolio)? Answer. (b) If ro 0.05, what are the market portfolio return and variance? What are the corre- sponding weights? Answer.

b. Suppose that you have the following information of three risky assets. Security Return (%) Standard Covariance with Deviation (%) A B A 11 10 4 14 6. 30 17 Risk free rate = 6%, (assume that A = 6). Requirement: Find the optimal portfolio weight of risky assets. How do you allocate the capital between optimal portfolio of risky asset and risk-free assets.

2. Based on the chart above, which portfolio is “better” based on Markowitz approach to portfolio construction? A. A, because it has zero risk B. B, because it is safe than C C. C, because it has higher return D. B & C are equally good because both have same “return relative to the risk taken” and the choice between the two is a matter of investors preference

Suppose you observe the following situation:Security               Beta              Expected ReturnDiamond Co        1.3                 0.2Spade Co             0.8               0.14                                                     (a) According to the above information, could we figure out the market return and risk-free rate? Explain your answer. (b) Discuss the possibility of including zero beta or negative beta assets in your portfolio. Explain the pros and cons of including these types of assets.

As diversification increases, the firm-specific risk of a portfolio approaches A. 1. B. infinity. C. 0. D. (n – 1) × n.

choose which one ? 3.Assume CAPM holds. What is the correlation between an efficient portfolio and the market portfolio?a.1b.-1c.0d.Not enough information

The CAPM states that the expected (required) return on an asset is : E(Ri)=Rf+βi[E(RM)−Rf] where the term in square brackets is the risk-premium earned by the market portfolio.  Therefore, the beta of the market portfolio (βM) must be equal to __________ . A) zero B) 0.5 C) 1.0 D) an unknown estimate

Question 2 a) Plot the Security Market Line (SML).b) Superimpose the CAPM’s required return on the SML.c) Indicate which investments will plot on, above and below the SML?d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph

A portfolio that is positively correlated with the market portfolio but not particularly sensitive to market risk factors would have a beta that is   A. Equal to zero.   B. Equal to one.   C. Less than zero.   D. Between 0 and 1.   E. Greater than 1.

Return on a portfolio of two risky assets which are perfectly negatively correlated is equivalent to a. Risk-free rate b. Return on market portfolio c. Zero return d. -1%

Which of the following statements is correct?     A delta-neutral portfolio is protected against large changes in the underlying asset price.     The delta hedging error increases as gamma decreases.     To change the vega of a portfolio, we need to trade the portfolio’s underlying asset.     A delta-neutral portfolio needs to be rebalanced more frequently as the gamma increases to maintain delta-neutrality.   Please explain and justify your choice using your own words.

When a portfolio consists of only a risky asset and a risk-free asset, increasing the fraction of the overall portfolio invested in the risky asset will a. Increase the expected return and standard deviation of the portfolio b. Increase the standard deviation of the portfolio c. Decrease the standard deviation of the portfolio d. Increase the expected return of the portfolio

A beta of 1.0 represents an asset that O is less responsive than the market portfolio has the same response as the market portfolio O is unaffected by market movement O is more responsive than the market portfolio

9.1 q1- How would you describe the relationship between risk and return for large portfolios of investments? Select one: a. There is no clear relationship. b. The relationship is precisely a positive linear relationship. c. The relationship approximates a positive linear relationship. d. The relationship approximates a negative linear relationship.

d.  Would this asset be considered more or less risky than the​ market?   The asset is  a. Equally as risky    the market portfolio, which has a beta of a. 1                       b. less risky than                                                                       b. 0                       c. more risky than                                                                     c. -1

Supposing the return from an investment has the following probability distribution   Return   Probability     R (%)   8                 0.2   10               0.2   12               0.5   14               0.1   Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of  expected returns?

Suppose that there are two assets: A and B. Asset A has expected return of 20%. B has expected return of 12% and standard deviation of σ* σ* = standard Deviation (σ) (a) “As B is strictly dominated by A in terms of total risk (standard deviation), there is no value in having B in portfolio formation.” (Without doing any calculation)  (b) “If the correlation coefficient ρ between A and B = 1, it is always optimal to invest in A only.” (Show your proof) (c) “If the correlation coefficient ρ between A and B = -1, it is always optimal to invest in 50% in A and 50% in B when forming a minimum variance portfolio of the two.” (Show your proof) [ (d) “Given that σA= σB=σ*, it is always optimal to combine half of A and half of B when forming a minimum variance portfolio of the two when ρ ε (-1,1).” (Show your proof)

Question 1- Which one of the following conditions determines the investor’s overall optimal portfolio? a. The marginal ratio of substitution of the investor’s utility function must be equal to the Sharpe ratio of the optimal risky portfolio. b. The standard-deviation of the overall portfolio in minimised. c. The expected return of the overall portfolio is ma is maximised. d. The slope of the Sharpe-ratio is equal to zero. Question 2---  Which one of the following is not a property of a pure arbitrage portfolio? a. Zero investment. b. Zero systematic risk. c. Positive net return. d. All of the above. Question 3--- Select the incorrect statement about the optimal portfolio weights in the SIM from the following: a. When short sales are not allowed, the investor will hold more assets in her portfolio than when short sales are allowed. b. When the single index is tradeable, securities with negative will be shorted. c. When the single index is tradeable, securities with higher (given…

Consider the following performance data for a portfolio manager:               Benchmark Portfolio Index Portfolio     Weight Weight Return Return   Stocks 0.65 0.7 0.11 0.12   Bonds 0.3 0.25 0.07 0.08   Cash 0.05 0.05 0.03 0.025   a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.

Which two portfolios lie on the same indifference curve? Ignore feasibility. Expected Return, E(r) OH and G OH and F O F and E 0 2 4 3 H O G and E O No two portfolios lie on the same indifference curve G 4 3 N E Capital Allocation Line (CAL) Risk, o

1.    calculate the beta of the portfolio below consisting of assets x, y and z. discuss the meaning of the number calculated and include in your answer what type of investor is likely to invest in this portfolio. Asset Weight (Wi) Beta (βi) X 0.30 0.09 Y 0.50 0.90 Z 0.20 0.16

if asset A has lower volatility than asset B, then it contributes less to the overall volatility when added to a portfolio. True or false?

Consider the following financial market with two risky assets x and y as well as a risk-free asset f: E[r]. x (10%, 8%) •z (6.6%, 6.3%) y (8%, 5%) (0%, 3%) f Is it possible to construct portfolio z with existing assets? Explain.

An efficient capital market is best defined as a market in which security prices reflect which one of the following?   Multiple Choice A  Current inflation B  A risk premium C  All available information D  The historical arithmetic rate of return E  The historical geometric rate of return