Problem 12-16 Arithmetic and Geometric Returns [LO1] A stock has had the following year-end prices and dividends: Year Price Dividend $ 1 43.27 2 48.25 $.45 3 57.17 48 4 45.25 .60 5 52.17 .65 6 61.25 .73 What are the arithmetic and geometric average returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Arithmetic average return Geometric average return 9.56 % %

Problem 12-16 Arithmetic and Geometric Returns [LO1] A stock has had the following year-end prices and dividends: Year Price Dividend $ 1 43.27 2 48.25 $.45 3 57.17 48 4 45.25 .60 5 52.17 .65 6 61.25 .73 What are the arithmetic and geometric average returns for the stock? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Arithmetic average return Geometric average return 9.56 % %

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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Problem 11-6 Risk Premiums (LO1) Assume these are the stock market and Treasury bill returns for a 5-year period: Year Stock Market Return (8) T-Bill Return (%) 2016 13.0 0.2 2017 21.0 0.8 2018 -6.2 1.8 2019 29.8 2.1 2020 20.6 0.4 Check my work Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Complete this question by entering your answers in the tabs below. Required A Required B Required C What was the risk premium on common stock in each year? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Negative values should be entered with a negative sign. Year Risk Premium 2016 % 2017 % 2018 % 2019 % 2020 %
9
4 Skipped Use the following data for Questions 3-5: Value 12500 17500 20000 Stock A B C Exp. Return 8.5% 9.2% 10.6% Beta 0.8 1.2 1.4 Question 4: What is the portfolio's Beta? ENTER YOUR ANSWER ROUNDED TO 2 DECIMAL PLACES
#25 A stock has an expected return of 14.00%. The risk-free rate is 2.64% and the market risk premium is 7.99%. What is the β of the stock? Answer format: Number: Round to: 2 decimal places.
Problem 24-5 Consider the rate of return of stocks ABC and XYZ. Year 1 2 2345 FABC 22% 9 19 6 1 ABC XYZ XYZ 38% 11 19 0 -11 a. Calculate the arithmetic average return on these stocks over the sample period. (Round your answers to 2 decimal places.) Arithmetic Average %
Question four Risk is usually measured in terms of the volatility in the historical returns generated by shares. Is this a good indicator of future risks in fast changing sectors? What implications does this have for the analysis of risk? Question five Explain briefly what beta (the relative risk) measures. Is this the only type of risk that a fim faces? Question six (a) Stocks A and market have the following estimated returns: RA RM year 2018 -18% -24% 2019 44% 24% 2020 -22% -4% 2021 22% 8% 2022 34% 56% Required to )Calculate the expected rate of return for stock A and Market đuring the 5-year period. (ii) Now calculate the total risk of stock A and Market (b)The market M and Stock J have the following probability distributions: State of the economy Probability RM RJ Вoom 0.3 15% 20% Depression Recovery 0.4 9% 5% 0.3 18% 12% Required to (1) Calculate the expected rates of retum for the market and Stock J. (ii) Calculate the standard deviations for the market and Stock J.
A4 answer the questions below
Question 4 Consider the following information on two stocks: Stock A Stock B P(State) 10% 25% -5% 15% -5% 10% 25% 8% 10% -5% 5% Boom Growth 20% Normal 30% 20% 20% Slow Bust Calculate the standard deviation of stock B. (Enter percentages as decimals and round to 4 decimals)
what can you say about the price movement of the stock? (AP)
8 Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance a. Beta Standard deviation Probability of State of Economy .28 .63 .09 b. Beta The market risk premium is 11.3 percent, and the risk-free rate is 4.3 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers 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 "riskier"? Rate of Return if State Occurs Stock I Stock II Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock .035 .335 .195 % -.23 .15 .43 %
Problem 12-14 Calculating Returns and Variability (LO1) You find a certain stock that had returns of 10.3 %, -17.3%, 22.3%, and 18.3% for four of the last five years. The average return of the stock over this period was 11.6%. Assume the face value of the bond is $1,000. What was the stock's return for the missing year? (Round the final answer to 1 decimal place.) Stock's return 25.5 % * What is the standard deviation of the stock's return? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Standard deviation 17.4 %
Estimated rate of return for Stock shareholders A B Estimated price in T1 4 4 Estimated dividend in T1 0,2 12% 15% 0,5 Calculate, for both stocks, the equilibrium price in TO. With a market rate of return of 6% and a risk free rate of 1,5%, calculate the Beta of the two stocks. Which percentage of stock A and B should you buy in your portfolio so as to generate a rate of return of 13,25%? What would be the beta of this portfolio?

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