Example 9: What is the portfolio standard deviation for a two-asset portfolio comprised of the following two assets if the correlation of their returns is 0.5?
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![Example 9: What is the portfolio standard deviation for a two-asset
portfolio comprised of the following two assets if the correlation of their
returns is 0.5?
Asset A
Asset B
10%
20%
Expected return
Standard deviation of expected returns
5%
20%
Amount invested
40,000 760,000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a58d289-bef1-487b-bdc0-78f7764b8452%2F07f70e7c-0f80-4497-85e7-eca35137cc2b%2Fo1mmkle_processed.jpeg&w=3840&q=75)
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 2.0% + 0.40RM + eA RB = -1.8%+ 0.9RM + eB OM = 15%; R-squareA = 0.30; R-squareB = 0.22 What is the standard deviation of each stock? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Stock A Stock B Standard Deviation % %The selling prices of mutual funds change daily. In order to study these changes, a sample of mutual funds was examined and the daily changes in price are listed below. (Round answers to 3 decimal places) 0.32, -0.17, 0.26, -0.03, -0.01, 0.18, 0.33, 0.28, 0.02, -0.29, -0.08, 0.12, 0.07, 0.03, 0.28 a) Using a calculator find Q1, Q3, median and IQR b) Determine the lower and upper fences. (Show work) c) Identify the outliers (if any) in this set
- you can just answer no. 2The correlation coefficient between the yearly returns of two mutual funds is 0.20. What does that mean about the strength and direction of the linear relationship between the returns of the two funds?20. Investing: Socially Responsible Mutual Funds Pax World Balanced is a highly respected, socially responsible mutual fund of stocks and bonds (see Viewpoint). Vanguard Balanced Index is another highly regarded fund that represents the entire U.S. stock and bond market (an index fund). The mean and standard deviation of annualized percent returns are shown below. The annualized mean and standard deviation are for a recent 10-year period (Source: Fund Reports). Pax World Balanced: x 9.58%; s = 14.05% Vanguard Balanced Index: x 9.02%; s = 12.50% (a) Interpretation Compute the coefficient of variation for each fund. Ifx represents return and s represents risk, then explain why the coefficient of variation can be taken to represent risk per unit of return. From this point of view, which fund appears to be better? Explain. (b) Interpretation Compute a 75% Chebyshev interval around the mean for each fund. Use the intervals to compare the two funds. As usual, past per- formance does not…
- Hi! I was working on the question below: The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn’t change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. And question (a) looks like: What percent of years does this portfolio lose money, i.e. have a return less than 0%? I got a z-score of -0.4455, which corresponds to the p value of 0.3264 on the z-table; I don't understand why the correct answer should be 0.3280 as said by one of the solutions, and I cannot locate such a number on the z-table. Thank you so much!I2 The market portfolio has an expected return of 10% and consists of 30% in stock and 70% in real estate, and the risk-free interest rate is 5%. Based on the single-factor CAPM model and the following information on stock and property returns: The standard deviation of stock performance: 0.2 The standard deviation of real estate performance: 0.1 The correlation between stock return and real estate return: 0.3 1. What is the expected return for the stock and real estate? ** Please show detailed calculationExample 10: P and Q two securities, with expected returns of 15% and 24% respectively, and standard deviation of 35% and 52% respectively. Calculate the standard deviation of a portfolio weighted equally between the two securities if their correlation is -0.9.
- Stock A has an expected annual return of 18% and a volatility of 34%. Stock B has an expected annual return of 12% and a volatility of 28%. The correlation of the returns of the two stocks is equal to 0.4. Find the expected return of the efficient portfolio with a volatility of 29%. solve on paper please5 Quarterly data from 1960Q1 to 2009Q4, stored in the file consumptn.dat, were used to estimate the following relationship between growth in consumption of consumer durables in the U.S. (DURGWTH) and growth in personal disposable income (INCGWTH); DURGWTHt = 0.0103 - 0.163 DURGWTHt-1 + 0.7422 INCGWTHt + 0.3479 INCGWTH t-1 Given that DURGWTH 2009Q4 = 0.1, INCGWTH 2009Q4 = 0.9, INCGWTH 2010 Q1= 0.6, and INCGWTH 2010 Q2= 0.8, forecast DURGWTH for 2010Q1 and 2010Q2Consider the following data: Stock M N Average return 26% 16% Risk (Std. Dev.) 20% 10% If the return on stocks M and N are perfectly negatively correlated, what is the range of risk (std dev) associated with all possible portfolio combinations? A. Range of the risk: between 0= risk s10 % OB. Range of the risk: between 0 < risk 10% OC. Range of the risk: between 5% and 10%. OD. Range of the risk (std. dev): between 15% to 20% OE. None of the above
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