Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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- The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine which of A or B is over-valued or undervalued.arrow_forwardConsider the following information: Rate of Return If State Occurs State of Probability of State of Economy Economy Boom .60 Stock A .08 Stock B .16 Stock C .34 Bust .40 .18 .08 -.07 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 18 percent each in A and B and 64 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) a. Expected return % b. Variancearrow_forwardConsider the following information about three stocks: Probability 0.22 State of Economy Boom Normal Bust 0.53 0.25 Stock A 0.24 0.00 0.17 -0.28 Stock B 0.36 0.13 -0.45 Stock C 0.55 0.09 Instructions: a) If your portfolio is invested 40% each in A and B and 20% in C, what is the portfolio expected return? The variance? The standard deviation? b) If the expected T-bill rate is 3.80%, the expected inflation rate is 3.50% what are the approximate and exact expected real returns on the portfolio? what is the approximate real risk premium? Show your steps.arrow_forward
- 2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…arrow_forwardA second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider the Hauck Financial Service data. Click on the datafile logo to reference the data. Annual Return (%) Mutual Fund Year 1 Year 2 Year 3 Year 4 Year 5 Foreign Stock 10.06 13.12 13.47 45.42 -21.93 Intermediate-Term Bond 17.64 3.25 7.51 -1.33 7.36 Large-Cap Growth 32.41 18.71 33.28 41.46 -23.26 Large-Cap Value 32.36 20.61 12.93 7.06 -5.37 Small-Cap Growth 33.44 19.40 3.85 58.68 -9.02 Small-Cap Value 24.56 25.32 -6.70 5.43 17.31 (a) Construct this version of the Markowitz model for a maximum variance of 38. Let: FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG =…arrow_forwardConsider the following information: Probability of State of State of Economy Boom Bust Economy 0.55 8.45 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate Round the final answer to 2 decimal places.) Expected return Variance Rate of Return if State Occurs Stock A Stock B Stock C 0.06 0.14 0.34 0.10 0.02 -0.07 10.65% b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calc the final answer to 6 decimal places.)arrow_forward
- Explain well all question with proper answer. And type the answer step by step.arrow_forwardConsider the following information: Rate of Return if State Occurs Probability of State State of Economy of Economy Stock A Stock B Stock C Boom .10 34 44 24 Good .60 .19 15 08 Poor .25 -.01 09 -.07 Bust .05 -15 -.19 -11 a. Your portfolio is invested 25 percent each in A and C, and 50 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected return b-1. Variance % b-2. Standard deviation %arrow_forwardConsider the following information: State of Economy Boom Bust Probability of State of Economy a. Expected return b. Variance .60 .40 Rate of Return if State Occurs % Stock A Stock B .23 .08 .15 .18 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 24 percent each in A and B and 52 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) Stock C .42 -.09arrow_forward
- The following expected return and the standard deviation of current returns are known: Security (i) Expected Return Standard Deviation βi A 0.20 0.12 1.1 B 0.12 0.10 0.8 T-Bills 0.05 0 0 Market Portfolio 0.20 0.15 1 Required: Determine the weights of a portfolio with a standard deviation of 7% created by combining T-Bill and the market portfolio.arrow_forwardConsider the following information: State of Economy Probability of State of Economy Boom Bust .68 :32 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B Stock C .11. .15 .05 .21 .26 -.06 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.arrow_forwardNonearrow_forward
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