The beta on risky asset A is 1.8 and the beta on risky asset Bis 1.1. The expected return on the market portfolio is 10% and the riskfree rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in riskyasset A and 30% in risky asset B. What is (i) the beta of a portfolio and fi) the expected return of the portfolio?Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.aNone of the aboveb.(i) 0.97 and (ii) 9.829%(1) 1.23 and (ii) 9.8296(1) 1.23 and (ii) 11.38%) 0.97 and (ii) 11.38%e

Beta on A = 1.8 Beta on B = 1.1 Expected Return on Market Portfolio = 10% Risk Free Rate = 4%…

The beta on risky asset A is 1.8 and the beta on risky asset B is 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky asset A and 309% in risky asset B. What is (i) the beta of a portfolio and fii) the expected return of the portfolio? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a None of the above (i) 0.97 and (ii) 9.829% ) 1.23 and (ii) 9.829% (i) 1.23 and (ii) 11.389% e (1) 0.97 and (ii) 11.3896

The beta on risky asset A is 1.8 and the beta on risky asset B is 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky asset A and 309% in risky asset B. What is (i) the beta of a portfolio and fii) the expected return of the portfolio? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a None of the above (i) 0.97 and (ii) 9.829% ) 1.23 and (ii) 9.829% (i) 1.23 and (ii) 11.389% e (1) 0.97 and (ii) 11.3896

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

See similar textbooks

Related questions

Q: If you plot the relationship between portfolio expected return and portfolio beta, what is the slope…

A: Beta is a measure of a security's or portfolio's volatility (or systematic risk) in comparison to…

Q: c) Consider three portfolios A, B, and C. All three portfolios lie on the efficient frontier which…

A: Solution- ErA=6%,σA=10%ErB=8%,σB=15%All portfolio lies on efficiant frontear ,so sharpe ratio should…

Q: a) Suppose the risk-free rate is `X'% and the expected rate of return on the market portfolio is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Asset 1 has an expected return of 10% with a standard deviation of 25%, and asset 2 has an…

A: To find the optimal portfolio consisting of risky assets and risk-free asset we can use the Capital…

Q: Using the following data: Scenario Probability return K1 return K2 0.2 -10% 5% W2 0.4 0% 30% W3 0.4…

A: Excel Spreadsheet: Excel Workings:

Q: Find a portfolio with payoff at time T equal to if 0 ≤ S(T) ≤ 10, if 10 ≤S(T) ≤ 30, if 30 ≤S(T). VT…

A: To construct a portfolio with the desired payoff, we can break it down into three different regions…

Q: What is the beta of a portfolio made up of two risky assets and a risk-free asset? You invest 35% in…

A: Beta: Beta can be defined as the measure of instability of a separate stock relative to the…

Q: You can invest in a portfolio of two assets: the riskfree asset with rate of return 6%, and a risky…

A: The question is based on the basis of calculation for risk aversion in the Indian system. The risk…

Q: c) Assume that using the Security Market Line (SML) the required rate of return (Ra) on stock A is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: the simple is valid and all portfolios are priced correct hich of the situations below is possible?…

A: Capital Asset Pricing Model:It is a financial model that estimates an investment's or asset's…

Q: Assume that there are two factors that price assets. Interest rate rf = 4%. You have the following…

A: Here,Risk Free Rate is 4%AssetE(r)Beta of Factor 1Beta of Factor 2115%1.51212%`10.8

Q: 1. Consider the table below which lists a set of portfolios with each of their expected return E(R)…

A: To create the efficient frontier, we plot the expected return (E(R)) on the y-axis and the standard…

Q: Which of the following statements regarding the graph of the SML is most accurate? Select one O A. O…

A: Inorrect AnswerBeta for the portfolios are increasing, as their expected returns are increasing. So…

Q: 1. Consider the table below which lists a set of portfolios with each of their expected return E(R)…

A: To plot the portfolios and create the efficient frontier, we plot the expected return (E(R)) on the…

Q: Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 +…

A: To find λ1 and λ2, we'll use the given equations and the provided information.

Q: a) First, ignore the fact that r₁f depends on whether you are long or short the risk-free asset.…

A: The tangency portfolio: The efficiency frontier is a set of portfolios that either yield the highest…

Q: We consider a market with N risky assets. The following table shows the information of some…

A: The portfolio variance is calculated as shown below. Portfolio…

Q: Assume that there is a portfolio with an E(r) =20% and σ = 30%. Also, the risk-free rate of return…

A: Portfolio Expected return E(r) is 20% Standard Deviation is 30% Risk free rate is 7% Degree of risk…

Q: If the simple CAPM is valid and all portfolios are priced correctly, which of the situations below…

A: A model that helps the investors find the right value of returns to be expected, is known as the…

Q: ider an asset with a beta of 1.2, a risk-free rate of 4.3%, and a market return of 12%. What is the…

A: Given, Beta = 1.2 Risk free rate = 4.3% Market return = 12%

Q: calculate the beta of the portfolio below consisting of assets x, y and z. discuss the meaning of…

A: Beta of an asset represents the volatility with respect to the market. It measures the systematic…

Q: Consider a portfolo consisting of the following three stocks: E The volatility of the market…

A: Beta is used as a measure of systematic risk in the CAPM model. It provides a direct relation…

Q: Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is…

A: Solution: As per the security market line following is the Rate of return for stock A and stock B…

Q: Use the following CAPM equation for a portfolio to answer the questions that follow: E(RP) = RF + βP…

A: Here, E(RP) is 4.2% RF is 1 % βP is 0.8 RM is 5% Actual Portfolio Return is 6%

Q: An optimal risk portfolio’s expected return is 14%, standard deviation is 22%. If risk-free rate is…

A: The tradeoff between the return and risk of the portfolio is measured by the slope of CAL(Capital…

Q: Consider a portfolio exhibiting an expected return of 6% in an economy where the riskless interest…

A: Given, Expected return = 6% Risk less interest rate = 1% Expected return on market portfolio = 10%…

Q: Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12…

A: The question can be answered by determining the expected return for the stock using the capital…

Concept explainers

Risk and return

Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.

Capital Asset Pricing Model

Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.

Question

The beta on risky asset A is 1.8 and the beta on risky asset Bis 1.1. The expected return on the market portfolio is 10% and the risk
free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky
asset A and 30% in risky asset B. What is (i) the beta of a portfolio and fi) the expected return of the portfolio?
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a
None of the above
b.
(i) 0.97 and (ii) 9.829%
(1) 1.23 and (ii) 9.8296
(1) 1.23 and (ii) 11.38%
) 0.97 and (ii) 11.38%
e

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Inputs

Answer 1

Answer 2

Final Answer

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.

Similar questions

Consider the following two portfolios. Portfolio A has an expected return of 9%, a standard deviation of returns is 32%, and a beta of 1.5. Portfolio B has an expected return of 7.5%. The risk-free rate is 3%. Assuming the CAPM holds, and Portfolio A and B are fairly priced, then Portfolio B has a beta of? a. 0.61 ○ b. 0.98 ○ c. 1.13 ○ d. 1.09 ○ e. 1.18
Suppose that you use Arbitrage Pricing Theory (APT) to evaluate well-diversified portfolios. The three factor portfolios used in an APT model, portfolios 1, 2, and 3, have expected returns E(r1) = 5%, E(r2) = 3%, and E(r3) = 8%. Suppose further that the risk-free rate (λ0) is 2%. Calculate the total return on a well- diversified portfolio with its beta on the first factor, βA1 = 1.1, beta on the second factor, βA2 = .9, and beta on the third factor, βA3 = 1.2.
An investor wants to design a complete portfolio with an expected rate of return of 15% from two risky and one risk-free assets. The first risky asset has an expected return of 13% and a standard deviation of return of 20%. The second risky asset has an expected return of 7% and a standard deviation of return of 5%. The correlation coefficient between the returns of the two risky assets is 0.40. The risk-free rate of return is 1%. What is the allocation of the investor’s money across these three assets?
Consider the following information: The possible rate of return for a portfolio for an investment is shown below.Probability Possible rate of return 0.25 0.09 0.25 0.11 0.25 0.13 0.25 0.16What is the expected rate of return for the investment?
Asset W has an expected return of 8.8 percent and a beta of .90. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Percentage of Portfolio in Portfolio Expected Portfolio Asset W Return Beta 0 % % 25 % 50 % 75 % 100 % 125 % 150 % If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Slope of the line %
You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of 20%. The risk free rate is 4%. What will be the standard deviation of the complete portfolio of risk free asset and the optimal risk portfolio, for a risk averse investor with risk aversion index A=6. O 1.11 О 3.33 O 5.67 O 6.67 O None of above
Baghiben
Consider two well-diversified portfolios: Portfolio 1 has an expected return of 8% and a beta of 0.80 while Portfolio 2 has an expected return of 13% and a beta of 1.50. If the risk-free rate is 1.5%, which portfolio would a rational risk-averse investor prefer and why? O A. Portfolio 2 because it has the higher reward to risk ratio. O B. Portfolio 1 because it has the higher reward to risk ratio. OC. Portfolio 2 because it has the higher reward. O D. Portfolio 1 because it has the lower risk.
An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.
The beta on risky asset A is 1.8 and the beta on risky asset B is 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two risky assets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and (ii) the expected return of the portfolio? a None of the above b (i) 0.97 and (ii) 9.82% c (i) 1.23 and (ii) 9.82% d (i) 1.23 and (ii) 11.38% e (i) 0.97 and (ii) 11.38%
Portfolio Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04) with pA,B = 0.2 where rA and rB are CCR’s. a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR. b) Find the portfolio expected gross return. c) Find the expected portfolio CCR.
The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS