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What is the expected return on a portfolio with 45% investment in asset A and the remainder in asset B? (Assume that the expected
a. |
11.7% |
|
b. |
14.6% |
|
c. |
13.2% |
|
d. |
12.9% |
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- Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?Consider a position consisting of a $100,000 investment in asset A and a $100,000 investment in asset B. Assume that the daily volatilities of both assets are 1% and that the coefficient of correlation between their returns is 0.3. What is the 5-day 99% VaR for the portfolio?A portfolio consists of $15 million of asset A (for which annual expected return is 10% and annual return volatility is 25%), $15 million of asset B (for which annual expected return is 15% and annual return volatility is 30%), and $20 million of asset C (for which annual expected return is 20% and annual return volatility is 35%). The return correlation between each pairing of assets A, B and C is 0.2. Assume the annual portfolio return is normally distributed. What is the annual return volatility of the portfolio? a. 21.3% b. 24.9% c. 27.8% d. 32.5% e. None of the above
- A portfolio consists of 70% of investment A and 30% of investment B. The expected returnon investment A is 7% and the expected return on investment B is 9%. The standarddeviation of returns of investment A is 2.19%. The standard deviation of returns ofinvestment B is 4.1%. The correlation coefficient of the returns of investment A andinvestment B=+1. Finda. the expected return from the portfoliob. the standard deviation (risk) of the returns from the portfolioA portfolio consists of $15 million of asset A (for which annual expected return is 10% and annual return volatility is 25%), $15 million of asset B (for which annual expected return is 15% and annual return volatility is 30%), and $20 million of asset C (for which annual expected return is 20% and annual return volatility is 35%). The return correlation between each pairing of assets A, B and C is 0.2. Assume the annual portfolio return is normally distributed. What is the 1-year 5% Value-at-Risk of the portfolio (i.e., there is a 5% probability that the portfolio will suffer a loss greater than what dollar value for the year)? a. $1.24 million b. $3.86 million c. $9.75 million d. $19.50 million e. None of the aboveUse the following information to calculate the expected return and standard deviation of a portfolio that is 40 percent invested in Kuipers and 60 percent invested in SuCo:Kuipers SuCoExpected return, E(R) 30% 26%Standard deviation, F 65 45Correlation 30
- Consider the case of two financial assets and three market conditions (states). The tablebelow gives the respective probability for each market condition and the return of each assetin each one of them. Market Conditions State Recession Normal Expansion Probability of state 30% 40% 30% Return of asset A -30% 20% 55% Return of asset B -10% 70% 0% Consider the portfolio with 50% investment in each of the two assets above. Calculatethe expected return and the standard deviation of the portfolio.Asset P has a beta of 0.9. The risk-free rate of return is 8 percent, while the return on the market portfolio of assets is 14 percent. The asset's required rate of return isUsing single-period arithmetic returns, calculate the value after two periods for the realized returns of these two portfolios: (Portfolio A) $100 invested, realizing a period with a 10% gain, followed by another period with a 10% gain ("average" 10% per period gain) (Portfolio B) $100 invested, realizing a period with a 50% gain, but followed by a period with a 25% loss ("average" 12.5% per period gain) What is the difference in dollars after these two periods (Portfolio A value minus Portfolio B value)?
- Two Asset Portfolio- Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation between Stock A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B? (Please show work)A portfolio consists of two securities: a 90-day T-bill and the S&P/TSX Composite. The expected return on the T-bill is 4.5%. The expected return on the S&P/TSX Composite is 12% with a standard deviation of 20%. What is the portfolio standard deviation if the expected return for this portfolio is 15%?Equity has a beta of 1.35 and an expected return of 16 percent. A risk-free asset currently earns 4.8 percent. (a) What is the expected return on a portfolio that is equally invested in the two assets? (b) If a portfolio of the two assets has a beta of 0.95, what are the portfolio weights? (c) If a portfolio of the two assets has an expected return of 8 percent, what is its beta? (d) If a portfolio of the two assets has a beta of 2.70, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Explain