Suppose 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. %

Suppose 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. %

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: Suppose that stocks are exposed to independent risks only so that stock has the following return…

A: Return from the Portfolio is given by Ri,t =mi+si,t where Ri,t= return on the portfolio mi…

Q: Draw the profit diagram (profit not payoff) of a portfolio consisting of a long position in two call…

A: The payoff diagram for a portfolio consisting of various long and short positions in call options…

Q: As the number of stocks in a portfolio increase, the portfolio’s systematic risk can either increase…

A: Solution: When an investor invests in equity market, it get exposed to two types of risk- a)…

Q: Which of the following statements regarding non-systematic risk, systematic risk and total risk…

A: Systematic risk is the risk derived from the market and which is measured by the beta of the stock…

Q: 1. What are beta measures? (a) The volatility of the security (b) The joint volatility of any two…

A: Beta helps in measuring the systematic risk of a security or portfolio compared to the market as a…

Q: Consider a capital market with two securities. The payoffs of these securities in the two equally…

A: Pure (Arrow- Debreu) securities are stated price securities considered primary and pure security…

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

A: Given that;Return on market portfolio is denoted by RM.Required return on stock A is RA and the…

Q: Which of the following is TRUE? To construct a capital market line, we use expected return as…

A: Capital market line (CML) is a graph representing expected return vs Standard deviation.

Q: Suppose you observe the following situation: Security Beta Expected…

A: Select information are available about the two stocks. We have to find out the market return and…

Q: Consider the following simplified APT model: Factor Market Expected Risk Premium (%) Interest rate…

A: FactorExpected risk premiumMarket6.20%Interest rate-0.80%Yield spread4.80%MarketInterest rateYield…

Q: Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free…

A: The risk-free rate, also known as the risk-free interest rate or risk-free return, refers to the…

Q: 1. The diversifiable risk of a portfolio: a. Is correlated with systematic risk. b. Can be made…

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

Q: Which of the following statements about CAPM is true? a. The expected return of a zero-beta security…

A: CAPM is the capital asset pricing model. As per CAPM expected return as follows: Expected return =…

Q: The table below contains the covariance matrix of stock returns and the market. Assume that the…

A: Risk is the possibility of loss for an organization and risk management is one of the most important…

Q: Suppose that there are many stocks in the security market and that the characteristics of stocks A…

A: The term "risk-free rate" refers to the rate of return on an investment that is assumed to have no…

Q: Suppose that there are many stocks in the security market and that the characteristics of stocks A…

A: The risk-free rate is the rate of return for a zero risk investment. This is the rate equal to the…

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

A: As per the above consideration The ratio of expected return on A and expected return on B is

Q: standard deviation of 12%. An investor who wishes to form a portfolio that lies to the right of the…

A: Capital allocation line graphically depicts the risk-reward profile of assets which helps in…

Q: Assume that you have a portfolio of two stocks, X and Y. If the risk of stock X is 1.2 and the risk…

A: Given, the risk of stock X is 1.2 and the risk of stock Y is 4

Q: equals the slope of the security market line: one. beta. the market risk premium. the expected…

A: Security refers to the financial asset which doesn’t have any real value like golds and other metals…

Q: You are given the following information concerning three portfolios, the market portfolio, and the…

A: Correlation coefficient:The correlation coefficient shows the strength of the relationship between…

Q: Assume that security returns are generated by the single-index model, Ri a BiRM + ei where R₁ is the…

A: As per the given data Total variance of security =(βi)^2 *(σM)^2 + (σ(ei))^2(βi) = beta of security…

Q: Suppose that stocks are exposed to systematic risks only so that stock i has the following return…

A: Return from the Portfolio is given by Ri,t =mi+si,t where Ri,t= return on the portfolio mi…

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

Suppose 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.
%

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Result

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

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 portfolio choice problem. The investor has initial wealth w andutility u(x) = (x^n) /n. There is a safe asset (such as a US government bond) that has netreal return of zero. There is also a risky asset with a random net return that has onlytwo possible returns, R1 with probability 1 − q and R0 with probability q. We assumeR1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A isinvested in the safe asset.i) What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving?ii) Find A as a function of w.
. The following questions are related to modern portfolio theory. • Assume there are only two stocks in the equity market. •The risk-free rate is 1.00%. Stock Return Volatility Correlation Matrix Y 0.7 1.0 X Y X 15.00% 20.00% 1.0 10.00% 15.00% 0.7 (a) Make an investment portfolio using the risky assets that has an expected return 12%. (b) Calculate the volatility of the portfolio in (a).
Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x)=. There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R₁ with probability 1-q and Ro with probability q. We assume R₁ 0. Let A be the amount invested in the risky asset, so that w - A is invested in the safe asset. 1) Does the investor put more or less of his portfolio into the risky asset as his wealth increases?
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: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 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.) b. Could the equilibrium rƒ be greater than rate of return?
Suppose you have an investment portfolio with fraction x invested in a market portfolio and (1-x) in a risk- free asset. Increasing fraction x invested in the market portfolio and consequently decreasing (1-x) invested in the risk-free asset shall (select any correct answer, if there are multiple correct answers) Select one or more: O decrease the Sharpe ratio of the resulting portfolio O decrease the expected return of the resulting portfolio increase the Sharpe ratio of the resulting portfolio increase the expected return of the resulting portfolio Dincrease the risk of the resulting portfolio
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.
E(FAssume 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 (Rs) on stock B. The risk-free rate (R;) 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). a o
Find the weights of the two pure factor portfolios constructed from the following three securities: r1 = .06 + 2F¡ + 2F, r2 = .05 + 3F, + IF, r3 = .04 + 3F, + OF, Then write out the factor equations for the two pure factor portfolios, and determine their risk premiums. Assume a risk-free rate that is implied by the factor equations and no arbitrage.
Suppose you came up with the following calculations; Assume your utlity function is represented by U E(Rp) 1/2A\sigma_p^2 where your risk aversion parameter A = 25. What is the weight that you must invest in Stock C in order to create your Optimal Portfolio? Present result in decimals, for example, 0.78, not 78 %. Round to 4 decimals. Your Answer: Answer
Give typing answer with explanation and conclusion
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).
The portfolio with the highest Sharpe Ratio is I. The minimum-variance point on the efficient frontier II. The tangency point of the capital market line and the efficient frontier III. The maximum-return point on the efficient frontier IV. The line with the steepest slope that connects the risk-free rate to the efficient frontier Select one: a. II and IV only b. I and IV only c. III and IV only d. Only IV e. I and II only

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