4. Which of the following statements is FALSE? A) A stock's return is perfectly positively correlated with itself. B) When the covariance equals 0, the stocks have no tendency to move either together or in opposition of one another. C) The closer the correlation is to -1, the more the returns tend to move in opposite directions. D) The variance of a portfolio depends only on the variance of the individual stocks.

4. Which of the following statements is FALSE? A) A stock's return is perfectly positively correlated with itself. B) When the covariance equals 0, the stocks have no tendency to move either together or in opposition of one another. C) The closer the correlation is to -1, the more the returns tend to move in opposite directions. D) The variance of a portfolio depends only on the variance of the individual stocks.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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3) If two securities are perfectly negatively correlated then the global-minimum variance portfolio has a standard deviation that is always A) greater than zero. B) equal to zero. C) equal to the sum of the securities' standard deviations. D) equal to −1. Choose the correct answer and justify it.
Read the box “The ‘Beta’ of a Stock” in the attachment.a. Suppose that the value of β is greater than 1 for a particular stock.Show that the variance of (R - Rf) for this stock is greater than thevariance of (Rm - Rt).b. Suppose that the value of β is less than 1 for a particular stock. Is itpossible that variance of (R - Rf) for this stock is greater than thevariance of (Rm - Rt)? (Hint: Don’t forget the regression error.) c. In a given year, the rate of return on 3-month Treasury bills is 2.0%and the rate of return on a large diversified portfolio of stocks (theS&P 500) is 5.3%. For each company listed in the table in the box,use the estimated value of β to estimate the stock’s expected rate ofreturn.
Which one of the following statements is TRUE? O a. If the distribution of returns for an asset has a variance of zero, then covariance of returns between that asset and the returns any other asset must equal zero. O b. The covariance allows us to gauge the strength of the relationship between stocks. O c. While the variance and the standard deviation both measure the variability of the returns, the variance is easier to interpret because it is in the same units as the returns themselves. O d. If two assets with return correlation coefficients less than one make up a portfolio, then the portfolio does not take advantage of any diversification benefits.
1. Which of the following statements is FALSE? A) When an investment is risky, there are different returns it may earn. B) In finance, the variance of a return is also referred to as its volatility. C) The expected or mean return is calculated as a weighted average of the possible returns, where the weights correspond to the probabilities. D) The variance is a measure of how "spread out" the distribution of the return is.
Briefly explain what the Beta of a stock means. What values can it take and what do these imply? Explain how the beta of a stock is different from the variance as a measure of risk.
4) Which of the following statement(s) is(are) true regarding the variance of a portfolio of two risky securities? 1.I) The higher the coefficient of correlation between securities, the greater the reduction in the portfolio variance. 2.II) There is a linear relationship between the securities' coefficient of correlation and the portfolio variance. 3.III) The degree to which the portfolio variance is reduced depends on the degree of correlation between securities. A) I only B) II only C) III only D) I and II E) I and III Justify the correct answer.
Which of the following statements regarding beta is false: a. Beta is a measure of systematic risk. b. The beta of a share is calculated as the covariance between the share and the market divided by the variance of the market. c. If the returns of two firms are negatively correlated, then one of them must have a negative beta. d. A share with a beta equal to -1 has zero systematic risk. e. A share’s beta is more relevant as a measure of risk to an investor with a well-diversified portfolio than to an investor who holds only one share.
1. Using the following returns, calculate the average returns, the variance, standard deviations, and coefficient of variation for X and Y. Which stock is the least risky? Yr 1 2 3 Rx 12.20 9.65 0.00 6.50 Ry 4 8.00 -2.00 12.50 9.57
A stock's beta coefficient can be calculated using the following equation: B₁ = Oi, m σε m a. Write a user-defined function that can calculate the beta coefficient. The argu- ments to the function should be the covariance between the stock and market returns, and the variance of the market's returns. For example, BETA (COVAR AS SINGLE, MARKET VAR AS SINGLE). b. Rewrite your function so that it accepts ranges of returns and then calcu- lates the beta directly from the returns. It should be defined as: BETA(STOCK- RETURNS AS RANGE, MARKETRETURNS AS RANGE). Your function should make use of Application. WorksheetFunction to calculate the covariance and variance (use Excel's COVAR.S and VAR.S functions). In the code, be sure to check to see if the number of stock returns is equal to the number of market returns. The function should return an error if the count of returns is not equal.
The variance (risk) of an N-asset portfolio can be written as: o² = 2 + 2/11 -Cov where o² is the average variance of stocks in the portfolio and Cov is the average covariance between each pair of stocks in the portfolio. This result suggests that a well-diversified portfolio with a sufficiently large number of stocks will have O a zero total risk (variance) a zero covariance with other assets a zero diversifiable (nonsystematic) risk a zero market (systematic) risk
Which of the following statements about the correlation coefficient is false? Group of answer choices The values range between -1 to +1. A value of +1 implies that the returns for the two stocks move together in a completely linear manner. A value of -1 implies that the returns move in a completely opposite direction. A value of zero means that the returns are independent. None of these (that is, all of these statements are true)
Suppose you have mean-variance utility function with a coefficient of risk Aversion-0, which stocks are preferred to P. E(r) III IP II IV Standard Deviation

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