Concept explainers
A
To determine:
whether following statement is true or false-
"Stock with Beta of zero offers an expected
Introduction:
Beta of a stock represents the sensitivity of its return with the change in the market return.
(B)
To determine:
whether following statement is true or false-
"The
Introduction:
Expected return of the security as per CAPM is given by:
Expected return = Risk free rate + Beta of the security* Market risk premium
(C)
To determine:
whether following statement is true or false-
"You can construct a portfolio with beta of 0.75 by investing 0.75 of the investment budget in T-bills and remainder in the market portfolio."
Introduction:
Beta of the portfolio is the weighted average beta.
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INVESTMENTS(LL)W/CONNECT
- Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…arrow_forwardAssume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.arrow_forwardProjects A and B are independent. Project A has an IRR of 14.1%o and Project B has an IRR of 12.5%. The crossover rate for Projects A and B is 8.5%. The required rate of return for both projects is 11.7% Which one of the following statements is correct? Insufficient information, need to know their NPVS. O a. O b. Reject both projects O C. Accept Project A and reject Project B O d. Accept Project B and reject Project A e. Accept both projectsarrow_forward
- Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A(A) to beta of B(B).arrow_forwardSuppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock A B Expected Return 9% 19 Correlation = -1 Standard Deviation 5% 12 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.) Risk-free rate %arrow_forwardSuppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock A B Expected Return 10% Standard Deviation 5% 9 18 Correlation = -1 Risk-free rate Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) Note: Do not round intermediate calculations. Round your answer to 3 decimal places. %arrow_forward
- Question: Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A to beta of B. (Please show workings clearly)arrow_forwardSuppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Expected Return 11% 17 Correlation = -1 Stock A B Standard Deviation 6% 9 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) Note: Do not round intermediate calculations. Round your answer to 3 decimal places. Risk-free ratearrow_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_forward
- Assume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT? 1. b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%. 2. d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%. 3. e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%. 4. a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%. 5.…arrow_forwardSuppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.arrow_forwardSuppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Ri,t = mį + Si,t where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero. The portfolio volatility stays unchanged.arrow_forward
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