Concept explainers
a.
To determine: To Construct a Portfolio Containing Securities 1 and 2, the Expected Return and
Introduction:
Arbitrage Pricing Theory (APT) is a substitute form of CAPM (
b.
To determine: To Construct a Portfolio Containing Securities 3 and 4, the Expected Return and
c.
To determine: The Possible Arbitrage Opportunity.
d.
To determine: The Effects of Existence of such Arbitrage Opportunities’ and Graphing the Findings.
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- Assume CAPM holds. Consider a portfolio that consist of a risk-free asset and two risky assets A and B such that they are in equal supply in the market. This implies that the market portfolio M = 0.5A +0.5B. Given that µM = 11%, σA = 20%,σB = 40%,ρAB = 0.75 and the risk-free rate is 2%. Compute: a) The beta factor for each security. b) The values for µA and µB and verify these quantities via the SML.arrow_forwardassume that the market consists of two securities. Security A has a market value of $1 billion and a covariance with the market portfolio of 0.15. Security B has a market value of $3 billion and a covariance with the market portfolio of 0.08. What is the standard deviation of the market portfolio?arrow_forwardThe following below are the expected return and betas of the given set of securities. Given that the risk free rate is 7% and the market return is 13%. Security N O P Return 20 21 23 Beta 1.2 1.8 0.82 Calculate the market risk premium, and the expected return of each asset using CAPM.arrow_forward
- Consider the following factor model: E[R] - rf = b Mkt (E[RMkt] - rf) + b SMB E[R$MB] + b The term b O size. SMB measures the sensitivity of the securities returns to: book-to-market. momentum. HML E[RHML] the overall market.arrow_forwardConsider two securities, A and B, whose standard deviations of returns and betas are given below: Security A Security B Standard deviation 15% 25% Beta 1.30 0.75 Which security will have the higher risk premium? Security A or B?arrow_forwardAssume that security returns are generated by the single-index model, Ri = alphai + BetaiRM + ei where Ri is the excess return for security i and RM is the market's excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data. Security Betai E(Ri) sigma(ei) A 1.4 15% 28% B 1.6 17% 14% C 1.8 19% 23% a. If simaM = 24%, calculate the variance of returns of securities A, B, and C (round to whole number). Variance Security A Security B Security C b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C (enter the variance answers as a whole number decimal and the mean as a whole number percentage)? Mean Variance Security A ?% Security B ?% Security C ?%arrow_forward
- Assume 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_forwardAssume 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 (bA) to beta of B (bB). please show all workings and not merely : Ra = 1/2 rbRf = 1/4 Raarrow_forwardAssume the Capital Asset Pricing Model is true and that all securities should lie along the line created by the equation (the Security Market Line). Greg Noronha has been told the expected return on Merchants Bank is 9.75%, He knows the risk-free rate is 1.9%, the market risk premium is 6.75%, and Merchants' beta is 1.15. Based on the Capital Asset Pricing Model, Merchants Bank is: A. fairly valued. B. undervalued. C. overvalued.arrow_forward
- Suppose you observe the following situation: Security Ruby Pearl Expected Return 14.9% 21.0% Beta 0.70 2.13 A). If these two securities are correctly priced, calculate the risk-free rate. Round your answer to 4 decimal points. B). If these two securities are correctly priced, find the market risk premium (using the findings of Requirement-A). Round your answer to 4 decimal points. C). If the current market data shows that the risk-free rate is 3.52 percent, are these securities fairly priced? Comment on your answer. Round your answers to 4 decimal points. D). Calculate the expected return and beta of an equally weighted portfolio of these two securities. Round your answers to 3 decimal points.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 Expected Return Standard DeviationA 10% 5%B 15% 10%Correlation = -1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? a. The weight of Stock A in the portfolio: Blank 1. Fill in the blank, read surrounding text. b. The weight of Stock B in the portfolio: Blank 2. Fill in the blank, read surrounding text.c. The Expected rate of return of the portfolio: Blank 3. Fill in the blank, read surrounding text.d. The risk-free rate is: Blank 4. Fill in the blank, read surrounding text.arrow_forwardConsider two risky securities A and B, as well as a risk-free bond. Their average returns and standard deviations are presented in the table below. The correlation between the Securities A and B is 0.3. Average Return Standard Deviation Security A 8% 12% Security B 13% 20% Risk-free bond 5% 0% a) What is the average return and standard deviation of an equally-weighted portfolio in A and B?arrow_forward
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENTIntermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning