Answer:
A)
Portfolio Variance = (w(1)^2 x SD(1)^2) + (w(2)^2 x SD(2)^2) + (2 x
(w(1)*SD(1)*w(2)*SD(2)*q(1,2))
w(1) = the portfolio weight of the first asset
w(2) = the portfolio weight of the second asset
SD(1) = the standard deviation of the first asset
SD(2) = the standard deviation of the second asset
q(1,2)=the correlation between two assets class
So from above equation it is clear that a decrease in correlation between securities in a portfolio results in a decrease in portfolio variance.
B)
Since the assets with perfect correlation move together. So there is no perfect correlation so as the number of assets increases the portfolio variance decreases.
What happens to portfolio variance when a. the correlation between securities decrease? b. the number of...
The variance of a portfolio comprised of many securities is primarily dependent upon the: A) variances of the securities held within the portfolio. B) beta of the portfolio. C) portfolio's correlation with the market. D) covariance between the overall portfolio and the market. E) covariances between the individual securities.
Other things equal, when adding new securities to a portfolio, the lower (less positive) the correlation between the new securities and those already in the portfolio, the less the additional portfolio diversification. True False Question 7 (4 points) Consider the following portfolio: Stock Investment Expected Return А $400000 16% B $200000 12% C $800000 18% $300000 16% The expected rate of return for the portfolio is: Your Answer:
a. Compute the correlation between assets A and B if you know that the standard deviation of B is 50% of the standard deviation of A and the covariance between the two assets is 0.5 times the variance of asset A. Correlation is 1 b. What is the risk (measured as the variance) of the portfolio created by investing 50% in asset A and 50% in asset B in the previous point? Assume that the variance of the asset A...
It is possible to combine two securities to create a risk-free portfolio if the correlation between their returns is a. +1 b. 0 c. +1 or −1 d. +1, 0, or−1 The following type of portfolio requires no trading: a. buy and hold b. re-balanced c. equal weighted d. optimal
1. Suppose there is a negative correlation (-0.8) between the two risky assets (LARGE stocks and SMALL stocks). Will the variance of the minimum-variance portfolio increase, stay the same, or decrease when we switch from a correlation of 0.4 to a negative correlation of -0.8?
Problem 1: What is the variance of a portfolio with: w1 =0.2, w2
=0.8, σ12 =10, σ22 =20,
and σ12 =5.
Problem 2: a) If the stocks 1 and 2 have negative correlation
12 then their covariance σ12 is
also negative. Yes, no, uncertain. Explain. b) If stocks 1 and 2
are uncorrelated, i.e.
12=0 then their covariance is zero, Yes, no,
uncertain. Explain c) If stocks 1 and 2 have variance
σ2=16 each, could their covariance be equal to...
How to construct a risk-free portfolio using two assets? Find two assets with correlation between them equal to -1 Find two assets with correlation between them equal to 1 Find two assets with correlation between them bigger than 0 but smaller than 1 Find two assets with correlation between them bigger than -1 but smaller than 0 Stock A and B are identical in terms of their expected cash flows. Investors like stock A more than stock B today for...
98) Which of the following statements is FALSE A) The volatility declines as the number of stocks in a portfolio grows. B) An equally weighted portfolio is a porfolio in which the same amount is invested in eadh stock C) As the number of stocks in a portfolio grows large, the variance of the portfolio is determined primarily by the average covariance among the stocks D) When combining stocks into a portfolio that puts positive weight on each stock, unless...
Assume an investment manager is considering to invest in a portfolio composed of Stock (A) and Stock (B). Stock (A) has an expected return of 10% and a Variance of 100 (Standard Deviation=10), while Stock (B) has an expected return of 20% and a Variance of 900 (Standard deviation=30).1- Calculate the expected return and variance of the portfolio if the proportion invested in Sock (A) is (0, .2, .3,.5. .6,.7,1) .The Correlation Coefficient is .4.2- If the Correlation Coefficient is...
Question 27 (Mandatory) (1 point) When the correlation coefficient between the returns of two securities is zero, an investor can still receive benefits from diversifying from combining both securities and the standard deviation of a portfolio consisting of both securities would lower than the weighted sum of the individual securities' standard deviations. True False Question 28 (Mandatory) (1 point) While the individual investor always chooses his/her 'normal' position along the CAL in accordance with his/her level of risk aversion, the...