An investor wishes to construct a portfolio consisting of a 70 percent allocation to a stock index and a 30 percent allocation to a risk-free asset. The return on the risk-free asset is 4.5 percent, and the expected return on the stock index is 12 percent. Calculate the expected return on the portfolio. a. 16.50 percent b. 17.50 percent c. 14.38 percent d. 9.75 percent e. 8.25 percent

An investor wishes to construct a portfolio consisting of a 70 percent allocation to a stock index and a 30 percent allocation to a risk-free asset. The return on the risk-free asset is 4.5 percent, and the expected return on the stock index is 12 percent. Calculate the expected return on the portfolio. a. 16.50 percent b. 17.50 percent c. 14.38 percent d. 9.75 percent e. 8.25 percent

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 16P

See similar textbooks

QUESTION 7

An investor wishes to construct a portfolio consisting of a 70 percent allocation to a stock index and a 30 percent allocation to a risk-free asset. The return on the risk-free asset is 4.5 percent, and the expected return on the stock index is 12 percent. Calculate the expected return on the portfolio.

a.
16.50 percent

b.
17.50 percent

c.
14.38 percent

d.
9.75 percent

e.
8.25 percent

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

Trending now

This is a popular solution!

Step by step

Solved in 2 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

Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?
Ch. 11. You own a portfolio that is 25 percent invested in Stock X, 35 percent in Stock Y, and 40 percent in Stock Z. The expected returns on these three stocks are 8 percent, 12 percent, and 17 percent, respectively. What is the expected return on the portfolio? Format as a percent and round to one place past the decimal point as "XX.X"
QUESTION 10 An investor wishes to construct a portfolio by borrowing 35 percent of his original wealth and investing all the money in a stock index. The return on the risk-free asset is 4.0 percent, and the expected return on the stock index is 15 percent. Calculate the expected return on the portfolio. a. 9.50 percent b. 18.25 percent c. 11.15 percent d. 15.00 percent e. 18.85 percent
11.2 Portfolio Expected Return You own a portfolio that has $3,100 invested in Stock A and $4,600 invested in Stock B. If the expected returns on these stocks are 9.8 percent and 12.7 percent, respectively, what is the expected return on the portfolio?
QUESTION 12 Answer the following: a) Elizabeth's Portfolio Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Compute the standard deviation of the returns on the portfolio assuming that the two stocks' returns are perfectly positively correlated 21.3% 19.3% 29% 33% b) In a Poisson distribution, the: mean equals the standard deviation. median equals the standard deviation. mean equals the variance. None of these choices. c) Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Find the expected mean of the portfolio. 15.6% 19% 13.5% 11%
Stock A has an expected return of 13.52 percent. Stock B has an expected return of 9.24 percent. Assuming the Capital Asset Pricing Model holds, and Stock A's beta is greater than Stock B's beta by 0.32, what is the expected market risk premium (in percent)? Answer to two decimals
Part II Question 1: You invest in a portfolio of 5 stocks with an equal investment in each one. The betas of the 5 stocks are as follows: .8, -1.3, .95, 1.2 and 1.4. The risk-free return is 3% and the market return is 7%. A. Compute the beta of the portfolio. B. Compute the required return of the portfolio. Question 2: You are given the following probability distribution for a stock: Probability Outcome .5 -6% .5 18% A) Compute the expected return . B) Compute the standard deviation. C) Compute the coefficient of variation.
Question 3: You are an active investor in the securities market and you have established an investment portfolio of two stock A and B five years ago. Required: a) If your portfolio has provided you with returns of 9.7%, -6.2%, 12.1%, 11.5% and 13.3% over the past five years, respectively. Calculate the geometric average return of the portfolio for this period?b) AssumethatexpectedreturnofthestockAinyourportfoliois14.6%.The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of this stock using Capital Asset Pricing Model (CAPM)? D) Assume that the following data available for the portfolio, calculate the expected return, variance and standard deviation of the portfolio given stock A accounts for 45% and stock B accounts for 55% of your portfolio?AB 12.5% 18.5%Expected returnStandard Deviation of return Correlation of coefficient (p) 0.415% 20%
Problem 2: You have access to three risky assets (Stocks A, B, and C) and ariskless asset:Expected Return, Standard DeviationStock A 8% , 35%Stock B 12% , 50%Stock C 15% , 75% Riskless Asset expected return 5%Correlation(A,B) 0.2Correlation(A,C) 0.2Correlation(B,C) -0.2 a) What are the portfolio weights of the tangency portfolio?b) What is the Sharpe ratio of the tangency portfolio?
Question: A portfolio consists of two stocks: Stock Expected Return Standard Deviation Weight Stock 1 10% 15% 0.30 Stock 2 13% 20% ??? The correlation between the two stocks’ return is 0.50(a) Calculate the expected return and standard deviation of the portfolio. Expected Return: Standard Deviation: b) (i) Briefly explain, in general, when there would be “benefits of diversification” (for any portfolio of two securities). (ii) Describe whether the above portfolio would exhibit “benefits of diversification” (and why). [No calculations are required.] (c) Show your calculations re: whether the above portfolio exhibits “benefits of diversification”and indicate whether it does/doesn’t (and why).