Consider the following scenario analysis: Scenario Recession Normal economy Boom Rate of Return Probability 0.2 Stocks Bonds -7% 15% 0.7 16 7 0.1 25 6 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? b. What are the expected rate of return and standard deviation of the portfolio? Complete this question by entering your answers in the tabs below. Required A Required B What is the rate of return on the portfolio in each scenario? Note: Enter your answer as a percent rounded to 1 decimal place.

Consider the following scenario analysis: Scenario Recession Normal economy Boom Rate of Return Probability 0.2 Stocks Bonds -7% 15% 0.7 16 7 0.1 25 6 Assume a portfolio with weights of 0.60 in stocks and 0.40 in bonds. a. What is the rate of return on the portfolio in each scenario? b. What are the expected rate of return and standard deviation of the portfolio? Complete this question by entering your answers in the tabs below. Required A Required B What is the rate of return on the portfolio in each scenario? Note: Enter your answer as a percent rounded to 1 decimal place.

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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You are given the following information concerning three portfolios, the market portfolio, and the risk- free asset: Portfolio X Y Z Market Risk-free Rp 14.5% R-squared 13.5 9.1 10.7 5.4 op 36% 31 21 26 0 6p 1.60 1.30 .80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.)
. 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).
Problem 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: .75, -1.2, .90, 1.3, 1.5. The risk free return is 4% and the market return is 9%. A. Compute the beta of the portfolio B. Compute the required return of the portfolio
Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09), 1, what would this imply? With these inputs, what would the be the following required rate of returns for these five stocks, show the formula for each in your calculations.
Consider the following table which provides a comparison of the returns for a portfolio and its benchmark. Year 0 1 2 3 4 5 Return Alpha Sum Tracking Error Information Ratio Note: the numbers in red are negative b. Calculate the portfolio alpha in percentage terms c. Calculate the tracking error of the portfolio in percentage terms Portfolio Return 16% 9% -35% 22% 84% Required a. Calculate the annualised return of the portfolio and the benchmark in percentage terms d. Calculate the information ratio of the portfolio to 2 decimal places e. Determine to 2 decimal places the amount of Carhart alpha for the portfolio in percentage terms if: o the risk-free rate is 3.25%, o the return of the market is 9.20%, o the exposure to the value factor (when the premium is 3.15%) is 0.65 (ie 65%), o the exposure to the small cap factor (when the premium is 2.05%) is -0.12, and o the exposure to the momentum factor (when the premium is 46%) is 0.1. Benchmark Return 14% 7% -38% 18% 86%
Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom.25.13.29.60 Normal .60.08.11.13 Bust.15.02.18-.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e .g., 32.16.) c-1. If the expected inflation rate is 3.30…
USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Investment Beta Analyst's Estimated Return Stock X 2.3 15.5% Stock Y 1.2 13.6% Market Portfolio 1.0 11.5% Risk-free rate 4.0% What is the required rate of return for Stock X based on the capital asset pricing model (CAPM)?
What is the shape of the yield curve given the term structure below? What expectations are investors likely to have about future interest rates? 5 yr 7 yr 10 yr 20 yr 1 yr 2 yr 3 yr Term 4.13 4.93 3.32 3.74 2.38 2.73 1.98 Rate (EAR %) ... What is the shape of the yield curve given the term structure below? (Select the best choice below.) A. The yield curve is an inverted yield curve (decreasing). B. It is hard to tell because we are not given an EAR for every year. C. The yield curve is a flat yield curve. D. The yield curve is a normal yield curve (increasing).
Consider the following information in Figure 1 below for a portfolio including security A and security B: Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20 If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)? Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.
Consider the following scenario analysis: Rate of Return Scenario Probability Stocks Bonds Recession 0.30 -7% 18% Normal economy Boom 0.60 20% 0.10 26% 10% 3% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. c. Which investment would you prefer? Complete this question by entering your answers in the tabs below. Required A Required B Required C Calculate the expected rate of return and standard deviation for each investment. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place. Expected Rate of Return Stocks 12.5% Bonds 11.7 % Standard Deviation % %
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskler"? -.21 .10 39 % %
The expected returns of a portfolio are influenced by several factors that investors should consider whenconstructing and managing their investment portfolios. discussesthe factors that affect expected returns of a portfolio.

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