Suppose that the rate of return on risky assets is given by the following single factor model: ri = E(r;) + BiF + e; where F is the factor affecting returns on all securities and e; is a firm-specific dis- turbance. The risk-free rate is 4% and borrowing at this rate is possible. Two well- diversified portfolios P and Q are found to have the following expected returns and betas: E(rp) = 12% E(rq) = 15% Bp = 0.8 BQ = 1 (a) Is the data consistent or inconsistent with Arbitrage Pricing Theory? Explain. (b) Construct a zero investment portfolio that yields a sure profit and does not involve borrowing. What are the weights of P and Q in your portfolio? Are you investing in bills?

Suppose that the rate of return on risky assets is given by the following single factor model: ri = E(r;) + BiF + e; where F is the factor affecting returns on all securities and e; is a firm-specific dis- turbance. The risk-free rate is 4% and borrowing at this rate is possible. Two well- diversified portfolios P and Q are found to have the following expected returns and betas: E(rp) = 12% E(rq) = 15% Bp = 0.8 BQ = 1 (a) Is the data consistent or inconsistent with Arbitrage Pricing Theory? Explain. (b) Construct a zero investment portfolio that yields a sure profit and does not involve borrowing. What are the weights of P and Q in your portfolio? Are you investing in bills?

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

See similar textbooks

Related questions

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: 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: Consider the multifactor APT. There are two independent economic factors, F1 and F2. The risk-free…

A: Here,Risk Free Rate is 3%

Q: 4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and…

A: The objective of the question is to calculate the market portfolio return and variance, and the…

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: Suppose that there are two independent economic factors, F1 and F2. The risk-free rate is 6%, and…

A: Beta on F1 in A = 1.5Beta on F2 in A = 1.9Expected return of A = 31%Beta on F1 in B = 2,5Beta on F2…

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: The capital asset pricing model tells us that a security with a beta of 2 will be expectedto yield a…

A: Detailed ExplanationThe statement is not entirely accurate. The Capital Asset Pricing Model (CAPM)…

Q: A portfolio manager forms two well‐diversified portfolios that are each sensitive to the single…

A: Arbitrage pricing theory (APT) is one of the financial model that is considered to be a multi factor…

Q: a) Suppose the risk-free rate is 7% and the expected rate of return on the market portfolio is 10%.…

A: The question is based on the concept of security valuation by use of the capital asset pricing model…

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: Assume CAPM holds. Consider a portfolio that consist of a risk-free asset and two risky assets A and…

A: M = 0.5A +0.5B µM = 11% σA = 20% σB = 40% ρAB = 0.75 Risk-free rate=2%…

Q: Click the icon to see the Worked Solution. The required return for investment A is %. (Round to one…

A: Capital Asset Pricing Model (CAPM): This model attempts to explain the relationship between the…

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: 4. Suppose portfolio P's expected return in 12%, its volatility (standard deviation) is 20%, and the…

A: Solution:- Sharpe Ratio measures the excess return over risk free return, per unit of risk taken ie.…

Q: a) Risk can be separated into systematic and unsystematic risk. Define systematic and unsystematic…

A: The fraction of total risk produced by conditions beyond a company's or individual's control is…

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: Suppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 4%, and all…

A: The expected return-beta relationship in the Capital Asset Pricing Model (CAPM) is a fundamental…

Q: Suppose that there are two independent economic factors, F₁ and F₂. The risk-free rate is 6%, and…

A: Portfolio Beta on F1 Beta on F2 Es ReturnA 2.1…

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

A: Capital Asset Pricing Model (CAPM): CAPM is the method of calculating the expected return on…

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: onsider the following information (Assume that Security M and Security N are in the same financial…

A: Expected return is calculated by using CAPM equation. CAPM measures systematic risk Expected return…

Q: You have a well-diversified portfolio P. You believe that the return of P is exposed to 2 systematic…

A: Solution : APT Formula for Return = Rf + Beta1 * RP1 + Beta2 * RP2..........BetaN * RPN…

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: 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…

Concept explainers

Treasury Market

On-the-run securities are the most recently issued securities in the market depth and are therefore traded at some premium. The off-the-run securities are the ones issued just before the most recent ones. The on-the-run securities have a lower yield to the investor than the off-the-run securities.

Question

Suppose that the rate of return on risky assets is given by the following single factor
model:
ri = E(r;) + BiF + e;
where F is the factor affecting returns on all securities and e; is a firm-specific dis-
turbance. The risk-free rate is 4% and borrowing at this rate is possible. Two well-
diversified portfolios P and Q are found to have the following expected returns and
betas:
Bp = 0.8
Bo = 1
E(гр) — 12%
E(rq) = 15%
(a) Is the data consistent or inconsistent with Arbitrage Pricing Theory? Explain.
(b) Construct a zero investment portfolio that yields a sure profit and does not involve
borrowing. What are the weights of P and Q in your portfolio? Are you investing
in bills?

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, accounting and related others by exploring similar questions and additional content below.

Similar questions

Help
Assume that security returns are generated by the single-index model, Ri a BiRM + ei where R₁ is the excess return for security /and Ry is the market's excess return. The risk-free rate is 3%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security Bi E(Ri} #{@į) A 1.5 61 298 B 1.7 8 15 C 1.9 10 24 a. If oy 26%, calculate the variance of returns of securities A, B, and C. Answer is complete but not entirely correct. Variance Security A 1,521 Security B 1,609 Security C 2,440 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 percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)
Manipulating CAPM Use the basic epuation for the capital asset model (CAPM) to work each of the followig problems. a. Find the required return for an asset with a beta of 1.63 when the risk-free rate and market return are 5% and 13%, respectively.b. Find the risk-free rate for a firm with a required return of 14.363% and a beta of 1.07 when the market return is 14%c. Find the market return for an asset with a required return of 9.045% and a beta of 1.57 when the risk-free rate is 3%d. Find the beta for an asset with a required return of 10.255% when the risk-free rate and market return are 6% and 9.7%, respectively.
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.
4. Explain what the Capital Asset Pricing Model (CAPM) is and calculate and explain the result of the CAPM based on the following data. a. Expected Return: 8% b. Risk-free rate: 4% c. Beta of the investment: 1.2 ER=Rf+B(ERm - Rf) where: ER = expected return of investment Rf risk-free rate B;= beta of the investment - (ERm - Rf) = market risk premium
Help me with part E please. Thank you so much a) Discuss the main assumptions of the Capital Asset Pricing Model (CAPM). (b) Write the equation of the Security Market Line (SML). Compute and draw theSML when the expected return of the NASDAQ index (market portfolio) is17% and the return to the risk-free asset is 7%. (c) Given the SML in (b), compute the beta and the expected return of the newshare Facebook assuming the volatility of the NASDAQ index (market portfolio) is 23.86% and its covariance with the share is 0.0655. (d) Facebook pays a dividend of 5 GBP and the growth of dividends is equal to 4%for the first two years and then rise to 6%. Assuming constant cost of capitalas computed in point (c), estimate the price of the Facebook share. (e) Consider investing 20% of your wealth in the Facebook share with beta as in, What is the proportion you need to allocate to the Apple share with beta1.8 in order to replicate the market portfolio?
Consider the following information (Assume that Security M and Security N are in the same financial market and the market is efficient): Standard Deviation BetaSecurity M 20% 1.25Security N 30% 0.80 Which security has more systematic risk? Group of answer choices Security M Security N Equal
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.
Suppose that there are two independent economic factors, F1 and F2. The risk-free rate is 6%, and all stocks have independent firm- specific components with a standard deviation of 53%. Portfolios A and B are both well-diversified with the following properties: Portfolio A B Beta on F1 1.5 2.5 Beta on F2 Expected Return 1.9 -0.19 31% 28% Required: What is the expected return-beta relationship in this economy? Calculate the risk-free rate, rf, and the factor risk premiums, RP1 and RP2 to complete the equation below. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. = E(rp) rf+(PP1 x RP1) + (BP2 x RP2) % RP1 % RP2 %
The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True False
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…
Consider the following single factor specification: R₁ = a¡ + ßi, Rµ + €i. Where R; is the return on security i, RM is the return on index M (a broad market index) and e, is a zero- mean white noise random variable not correlated with anything. Assume that the single factor specification above correctly describes the return generating processes of all securities. Furthermore, you have the following descriptive statistics for returns of well-diversified Portfolios X, Y, and index M. Portfolio X Portfolio Y Index M Risk-Free Expected return 14% 17% ?? ?? B₁ 1.2 1.6 1 0 a. Assume that the corresponding single factor APT correctly prices Portfolios X and Y. In other words, the expected returns of Portfolios X and Y shown above - 14% and 17% respectively - are equal to their APT-predicted expected returns. Calculate the expected return of Index M and risk-free rate. b. Another well-diversified portfolio Z has a beta, ßz, of 0.8 while its expected return is 10%. Form a portfolio consisting…