Calculate the expected rate of return, variance and standard deviation of bond and common stock
(a) Calculate the expected rate of return, variance and standard deviation of bond and common stock.
(b) Do you think the above stocks and bonds is a good combination to form an investment portfolio? Explain why.
(c) Assuming you invest in the portfolio with weights of 70% in stock and 30% in bonds. What are the expected rate of return and standard deviation of the portfolio?
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Calculate the expected rate of return, variance and standard deviation of bond and common stock
Calculate the arithmetic mean, the geometric mean, sample standard deviation, and correlation coefficient of the Bonds...
Calculate the arithmetic mean, the geometric mean, sample standard deviation, and correlation coefficient of the Bonds and Small Cap Stocks. To really test your skills, calculate the expected return and risk of a 30% Bond & 70% Small Cap Stock portfolio. Estimate the weights of each asset class where you think the Minimum Variance portfolio (MPV) be located on the risk & return graph.
Expected Returns 0.17 0.11 0.30 Standard Deviation 0.12 0.05 Firm A's common stock Firm B's common...
Expected Returns 0.17 0.11 0.30 Standard Deviation 0.12 0.05 Firm A's common stock Firm B's common stock Correlation coefficient (Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from college and is evaluating an investment in two companies' common stock. She has collected the following information abou the common stock of Firm A and Firm B: a. If Mary decides to invest 10 percent of her money in Firm A's common stock and 90...
2. Consider the information in Table 1 Table 1 Expected Return (% Standard Deviation (% Covariance...
2. Consider the information in Table 1 Table 1 Expected Return (% Standard Deviation (% Covariance (Stock 1, Stock 2) Covariance (Stock 1, Stock 3) Stock 1 4.2% 2.49% Stock 2 48% 2.59% 2.30 -20.25 Stock 3 5.0% 10.10% (a) Consider Table 1. Form a portfolio of stocks 1 and 2. Calculate the expected return and standard deviation of an equally-weighted portfolio of stocks 1 and 2 (b) Consider Table 1. Form a portfolio of stocks 1 and 2. Calculate...
4. Stock A has the expected return of 12%, the standard deviation of 15%, and the...
4. Stock A has the expected return of 12%, the standard deviation of 15%, and the CAPM beta of 0.5. Stock B has the expected return of 18%, the standard deviation of 20% and the CAPM beta of 1.1. The risk-free rate is 3%. If you have no other wealth could invest in some combination of the risk-free asset and only one of these two stocks, which of the stocks A and B will you choose and why? (1 point)
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Considering the following information of three stocks Stock Expected rate of return Standard deviation ABC 13% 20% XYZ 14% 20% MNO 15% 20% The correlation between ABC and XYZ is 0.36 The correlation between ABC and MNO is 0.52 The correlation between XYZ and MNO is 0.68 You decide to invest only in two stocks out of these three stocks. You want to choose a combination of two stocks that will create lower standard deviation. Half of your money will...
6. Consider the following information for Stocks 1 and 2: Expected Standard Stock Return Deviation 1...
6. Consider the following information for Stocks 1 and 2: Expected Standard Stock Return Deviation 1 20% 40% 2 12% 20% NE a. The correlation between the returns of these two stocks is 0.3. How will you divide your money between Stocks 1 and 2 if your aim is to achieve a portfolio with an expected return of 18% p.a.? That is, what are the weights assigned to each stock? Also take note of the risk (i.e., standard deviation) of...
1. Bonds have an expected return of 7% and an annual standard deviation of 10% and...
1. Bonds have an expected return of 7% and an annual standard deviation of 10% and the stock market has an expected return of 12% and an annual standard deviation of 25%. Assume that the correlation between bond returns and stock returns is 0.5. You choose to invest 75% in stock market and 25% in bonds. The expected annual return of your portfolio is ____________% 2. Bonds have an expected return of 7% and an annual standard deviation of 10%...
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
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...
Expected Return, Varianoe & Standard Deviation Suppose your expectations of the stock market are shown as...
Expected Return, Varianoe & Standard Deviation Suppose your expectations of the stock market are shown as follows: Prob r(s) Boom 0.2 30% Normal 0.5 20% Recession 0.3 -20% (Expected Return(E(r)), variance(o2) and standard deviation (o) Compute the mean of the rate of return on stocks. Risk Premium & Capital Allocation Consider when you decide to invest in a risky portfolio P (with the expected return of 20% and standard deviation of 30 %) and a Treasury bill (The rate of...
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8. Consider the following Scenario Analysis: Scenario Probability Stock Return Bond Return Recession 0.2 - 4% +12% Normal Economy 0.6 +12% +8% Strong Economy 0.2 +20% +5% Assume you have a portfolio that is weighted 40% in stocks and 60% in bonds. a) What are the expected rate of return and standard deviation of the portfolio? (12 points) b) Please explain BRIEFLY in words whether a rational investor would prefer to invest in the portfolio, in stocks only, or in...
Expected Returns 0.17 0.11 0.30 Standard Deviation 0.12 0.05 Firm A's common stock Firm B's common stock Correlation coefficient (Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from college and is evaluating an investment in two companies' common stock. She has collected the following information abou the common stock of Firm A and Firm B: a. If Mary decides to invest 10 percent of her money in Firm A's common stock and 90...
2. Consider the information in Table 1 Table 1 Expected Return (% Standard Deviation (% Covariance (Stock 1, Stock 2) Covariance (Stock 1, Stock 3) Stock 1 4.2% 2.49% Stock 2 48% 2.59% 2.30 -20.25 Stock 3 5.0% 10.10% (a) Consider Table 1. Form a portfolio of stocks 1 and 2. Calculate the expected return and standard deviation of an equally-weighted portfolio of stocks 1 and 2 (b) Consider Table 1. Form a portfolio of stocks 1 and 2. Calculate...
4. Stock A has the expected return of 12%, the standard deviation of 15%, and the CAPM beta of 0.5. Stock B has the expected return of 18%, the standard deviation of 20% and the CAPM beta of 1.1. The risk-free rate is 3%. If you have no other wealth could invest in some combination of the risk-free asset and only one of these two stocks, which of the stocks A and B will you choose and why? (1 point)
Considering the following information of three stocks Stock Expected rate of return Standard deviation ABC 13% 20% XYZ 14% 20% MNO 15% 20% The correlation between ABC and XYZ is 0.36 The correlation between ABC and MNO is 0.52 The correlation between XYZ and MNO is 0.68 You decide to invest only in two stocks out of these three stocks. You want to choose a combination of two stocks that will create lower standard deviation. Half of your money will...
6. Consider the following information for Stocks 1 and 2: Expected Standard Stock Return Deviation 1 20% 40% 2 12% 20% NE a. The correlation between the returns of these two stocks is 0.3. How will you divide your money between Stocks 1 and 2 if your aim is to achieve a portfolio with an expected return of 18% p.a.? That is, what are the weights assigned to each stock? Also take note of the risk (i.e., standard deviation) of...
Expected Return, Varianoe & Standard Deviation Suppose your expectations of the stock market are shown as follows: Prob r(s) Boom 0.2 30% Normal 0.5 20% Recession 0.3 -20% (Expected Return(E(r)), variance(o2) and standard deviation (o) Compute the mean of the rate of return on stocks. Risk Premium & Capital Allocation Consider when you decide to invest in a risky portfolio P (with the expected return of 20% and standard deviation of 30 %) and a Treasury bill (The rate of...
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