Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 Which of the two stocks is riskier? Why? Which of the stocks is expected to yield a higher return? Why? Where will you invest?
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Problem 3:
Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence.
|
Stock A |
Stock B |
20X1 |
10 |
20 |
20X2 |
-15 |
-20 |
20X3 |
20 |
-10 |
20X4 |
25 |
30 |
20X5 |
-30 |
-20 |
20X6 |
20 |
60 |
- Which of the two stocks is riskier? Why?
- Which of the stocks is expected to yield a higher return? Why?
- Where will you invest?
Step by step
Solved in 6 steps with 5 images
- Problem: 1. Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest? Problem Solving: 1. Suppose you want to buy 10,000 shares of MegaWorld Corporation at a price of 4.00. You put up P10,000 and borrow the rest. What does your account balance sheet would look like? What is your margin? 2. Supposed that in the previous problem you shorted 10,000 shares instead of buying. The initial margin is 60 percent. What does the account balance sheet look like? 3. You deposited P100,000 cash in brokerage account and short sell P200,000 of stocks on margin.…Given six years of percentage return of Stock A and Stock B, identify the expected return, and risk of each instrument. Assume that each year, has equal chances of reoccurrence. Stock A Stock B 20X1 10 20 20X2 -15 -20 20X3 20 -10 20X4 25 30 20X5 -30 -20 20X6 20 60 a. Which of the two stocks is riskier? Why? b. Which of the stocks is expected to yield a higher return? Why? c. Where will you invest?Consider the following information about two stocks (D and E) and two common risk factors (factor 1 and factor 2) Stock Risk factor 1 Risk factor 2 Expected return (%) D 1.2 3.4 13.1 2.6 2.6 15.4 a. Assuming that the risk free rate is 5%, determine the risk premium for factors 1 and 2 that are consistent with the expected returns for the two stocks. You expect that in one year the prices of Stock D and E will be $55 and $36 respectively and pay no dividends. What should be the price of each stock today to be consistent with the expected return levels. b. C. Determine how to you identified if Stock D and E are overvalued, fairly valued and undervalued? d. Suppose the risk premium for factor 1 as computed in (a) increases by 0.25 percent, what will be the new expected return for D and E? e. Suppose the risk premium for factor 1 as computed in (a) decreases by 0.25%, what will be the new expected return for D and E? f. Devise how would you develop a Jensen Index using Arbitrage Pricing…
- You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: David owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of David's portfolio value consists of FF's shares, and the balance consists of PP's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Falcon Freight Pheasant Pharmaceuticals 0.20 0.35 0.45 Strong Normal Weak 40% 24% -32% 56% 32% -40% Calculate expected returns for…Historical Returns: Expected and Required Rates of Return You have observed the following returns over time: Assume that the risk-free rate is 5% and the market risk premium is 4%. a. What are the betas of Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. % Year 2017 2018 2019 2020 2021 % Stock X 12% 17 -13 2 22 % Stock Y 15% 7 -4 3 12 Stock X: Stock Y: b. What are the required rates of return on Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: Stock Y: c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. Market 13% 12 -10 2 15
- Consider the following average annual returns for Stocks A and B and the Market. Which of the possible answers best describes the historical betas for A and B? Years Market Stock A Stock B 1 0.03 0.16 0.05 2 −0.05 0.20 0.05 3 0.01 0.18 0.05 4 −0.10 0.25 0.05 5 0.06 0.14 0.05 a. bA > +1; bB = 0. b. bA = 0; bB = −1. c. bA < 0; bB = 0. d. bA < −1; bB = 1. e. bA > 0; bB = 1.1. Consider two stocks A and B and a market index M with the following past returns: Month A 2 3 3 5 9 B 2 M 1.5 4 1 3 4 The risk-free rate is 1%. a. Write the estimated market model equations for both stocks and a portfolio composed of 60% A and 40% B. b. Compute the coefficients of determinations. C. Estimate the returns at equilibrium for A and B and decide whether the stocks are over or undervalued. d. Compute Sharpe's, Treynor's and Jensen's performance measures for the portfolio. Consider a market with anStocks X and Y have the following data. Assuming the stock market is efficient and the stocks are in equilibrium, which of the following statements is CORRECT? Price Expected growth (constant) Required return X O b) $50 5% 10% Y $50 6% 11% a) Stock Y has a higher dividend yield than Stock X. One year from now, Stock X's price is expected to be higher than Stock Y price. c) Stock X has the higher expected year-end dividend. d) Stock Y has a higher capital gains yield. e) Stock X has a higher dividend vield than Stock V
- Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?Below are the annual returns of the stock A, B, C and D and the market portfolio for the period 2018-2022. Find the expected return and standard deviation of the stock A, B, C, D and the market portfolio. Asset A Asset D | 15,00 13,00 | 10,00 13,00 Prob. Asset B 9,00 Year 2018 2019 2020 2021 2022 Asset C 12,00 Market 14,00 12,00 |11,00 0,20 0,25 | 13,00 9,00 | 11,00 8,00 0,10 0,20 0,25 15,00 | 11,00 11,00 | 9,00 12,00 12,00 9,00 12,00 15,00 10,00 12,00 13,00Problem 3:Here are the annual returns for five different stocks. Determine the expected return and risk for a period of five years for each of the stocks. Problem 4:a. Find the coefficient of variation (CV) for each of the actions in problem 3.b. Explain which of the investments a risk averse investor would prefer and which a risk lover investor would prefer. Answer clearly and in detail. Show all the computations that led to the result.