For no systematic risk, beta = 0
So,
0 = x(0.80) + (1 - x)(1.20)
0 = 0.80x + 1.20 - 1.20x
0.40x = 1.20
x = 1.20/0.40
x = 3
So,
x1 = 3.0
4. Consider a portfolio P containing assets 1 and 2 (with b,1 in which x1 is...
8. Consider a portfolio containing assets A and B (with bia - 1.5 and 61,8=0.5). Xi and X2 are the fractions of wealth invested in Asset A and Asset B, respectively. If the systematic risk is zero, what is the value of x2?
Question 1. Portfolio Analysis (2 points) a) Assume the following about assets A and B: E[r]=0.1, o =0.09. E[ra] -0.08, o; -0.04. Which one has lower absolute risk and which one has lower relative risk? (1): (2) b) Find the mean return, E[r], and variance, o. of a portfolio consisting of 70% of your total wealth invested in asset A (Wx=0.70), and 30% of your total wealth invested in asset B (w3= 0.30). The correlation between assets A and B...
1. Consider a portfolio P comprised of two risky assets (A and B) whose returns have a correlation of zero. Risky asset A has an expected return of 10% and standard deviation of 15%. Risky asset B has an expected return of 7% and standard deviation of 11%. Assuming a risk-free rate of 2.5%, what is the standard deviation of returns on the optimal risky portfolio? a) 9.18% b) .918% c) .84% d) 8.42%
Problem 4 Asset о The correlation p between assets A and B is 0.1, and other data are given in the next table: 10% 15% А 18% 30% В 1. Find the proportions a of A and (1 - a) of B that define a portfolio of A and B having minimum standard deviation. 2. What is the value of this minimum standard deviation? 3. What is the expected return of this portfolio?
Question 1. Portfolio Analysis (2 points) a) Assume the following about assets A and B: E[7]0.1, -0.09, E[TB] =0.08, o -0.04. Which one has lower absolute risk and which one has lower relative risk? (1): b) Find the mean return, E[r.), and variance, oz. of a portfolio consisting of 70% of your total wealth invested in asset A (w4=0.70), and 30% of your total wealth invested in asset B (Wg= 0.30). The correlation between assets A and B (P3) =...
Consider the following two assets. Returns on asset 1 has a mean of ui and standard deviation of 01. Returns on asset 2 has a mean of j2 and standard deviation of 02. The correlation coefficient p1,2 measures how the two assets' returns are correlated, and it takes on values between -1 and +1. An investor puts W1 fraction of her wealth into stock 1, and W2 =1-W1 fraction of her wealth into stock 2. 1. Using the equation on...
1. Consider an investor with $1 of wealth. He has to compose a portfolio with the following two risky assets. The rates of returns from those assets are specified by expectations, variances and correlations. var[r 1] = 0.02 E[r 1] = 0.05 var[r 2] = 0.03 E[r 2] = 0.08 corr[r 1, r 2] = 0.7 (a) Draw an efficient frontier of the investor. (b) How will the mean-variance efficient frontier in (a) change if corr[r 1, r 2] =...
determine 1) the maximum stress in the bar if P=9kN.
3.0 3.2 2.8 WW 2.6 3.0 N W 2.4 N hi 2.8 2.2 svg (w - 21) K - 4.0 K 2.0 2.6 3.01 2.0 1.8 w IS 2.4 1.6 w h 1.2- 1.1 1.4 2.2 LATIN . 1.2 2.0 1.0 0 0.1 0.6 0.7 0.8 0.9 1.0 0.5 0.2 0.3 2r 0 0.4 0.5 0.1 0.2 0.3 0.4 h 3.2 mm 48 mm 32 mm Р P r =...
CAPM For a risky return r, CAPM equation is Er -r- B(E[rm] -r), where r is risk-free rate, Tm is market return, and is loading of risky return r on market return rm In what follows, X and Y denote arbitrary assets, B risk-free bond, M market portfolio. Determine which of the following scenarios are consistent or inconsistent with mean-variance efficiency (that is, CAPM). In your answer, write "Consistent" or "Inconsistent", and give brief explanation. 25% 12% 0.8 1.2 25...
Assume you are considering a portfolio containing two assets, L
and M. Asset L will represent 39 % of the dollar value of the
portfolio, and asset M will account for the other 61 %. The
projected returns over the next 6 years, 2018-2023, for each of
these assets are summarized in the following table:
LOADING....
a. Calculate the projected portfolio return, r over p, for
each of the 6 years.
b. Calculate the average expected portfolio return, r over...