**Portfolio Risk and Beta Calculation**You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.59, and the total portfolio is equally as risky as the market. What must the beta be for the other stock in your portfolio? *Guidance: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.***Input Box:**- **Portfolio beta:** [ ]This educational exercise requires you to determine the unknown beta of one stock when provided with specific details about the other stock and the entire portfolio's market risk.

Since equally invested in risk free asset and 2 stocks Weight of each stock=(1/3) Portfolio beta =Respective beta*Respective investment weight Beta of market =1 while Beta of risk free assets=0 Portfolio beta =Respective beta*Respective investment weight 1/3*x +.1/3*1.59 +.1/3 *0= 1 x = 1.411.41 = Answer

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You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.59 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Portfolio beta

You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.59 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Portfolio beta

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Baghiben
39) Suppose the beta estimated from the CAPM for stock A is 2.3 and stock B is 1.1. Which of the following is true? According to the CAPM, the required rate of return of stock B is higher The beta of the equally weighted portfolio of stock A and B is 1.6 According to the CAPM, stock A has a higher idiosyncratic risk None of the above
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Q1: Explain the meaning and significance of a stock's beta coefficient. Illustrate your explanation by drawing, on one graph, the characteristic lines for stocks with low, average, and high risk. (Hint: Let your three characteristic lines intersect at r_i=r_m=6%, the assumed risk-free rate.) Q2: Define the following terms, using graphs or equations to illustrate your answers where feasible. a) Risk, stand-alone risk b) Expected rate of return c) standard deviation, variance d) risk premium for stock i, market risk premium e) Capital Asset Pricing Model (CAPM) f) Expected return on a portfolio g) market risk, diversifiable risk h) Beta i) Security Market Line; SML equation j) Slope of SML and its relationship to risk aversion. Q3. Differentiate between (a) stand-alone risk and (b) risk in a portfolio context. How are they measured, and are both concepts relevant for investors? Q4. Can an investor eliminate market risk from a portfolio of common stocks? How many stocks must a portfolio…
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.25 and an expected return of 15%. The other stock has an expected return of 21%. The total portfolio is equally as risky as the market (i.e.Bp=1). What is the beta for the other stock in your portfolio? What is the expected return of the risk-free asset? What is the expected return of the market? What is the expected return of your portfolio?
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Correlation = -1 Stock A B Rate of return Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) Yes No X Answer is not complete. Expected Return 9% 13% % Standard Deviation 45% 55% b. Could the equilibrium rƒ be greater than rate of return?
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