Stocks X and Y have the following probability distributions of expected future returns: Probability 0.1 0.2 0.4 0.2 0.1 1.02 and 1.47 1.02 and 1.15 X (10%) O1.11 and 1.47 111 and 1.35 O111 and 1.15 2228 12 What are the coefficient of variations of both X and Y? 20 48 Y (35%) 0225 55
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Risk and return
Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.
Capital Asset Pricing Model
Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.
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- What are the expected returns for stocks Y and Z under the conditions shown below? A0 0.04 k1 0.07 k2 0.05 by,1 0.5 by,2 1.3 bz,1 1.2 bz,2 0.9Stocks Y has the following probability distributions of expected future returns PROBABILITY Y% 0.1 8 0.3 12 0.4 15 0.2 35 0.6 52 What is the Risk per unit return of Stock Y?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% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.
- EXPECTED RETURNS Stocks X and Y have the following probability distributions ofexpected future returns:Probability X Y0.1 (10%) (35%)0.2 2 00.4 12 200.2 20 2S0.1 38 45a. Calculate the expected rate of return, rˆY, for Stock Y ( rˆX= 12%).b. Calculate the standard deviation of expected returns, σX, for Stock X (σY =20.35%). Now calculate the coefficient of variation for Stock Y. Is it possible thatmost investors will regard Stock Y as being less risky than Stock X? Explain.The market and Stock J have the following probability distributions: ProbabIlity rM rJ 0.3 15% 20% 0.4 9 5 0.3 18 12 A. Calculate the expected rates of return for the market and Stock J. B. Calculate the standard deviations for the market and Stock JThe probability distribution of returns for the two stocks X and Y are as follows: Probability 0.1 0.3 0.05 0.25 0.15 0.15 For each of the two stocks, calculate: a. The expected return. b. Variance of returns c. Volatility of returns. Stock X 0.05 -0.1 0.08 -0.08 0.20 0.12 Return Stock Y 0.13 0,04 -0.12 0.21 0.1 -0.05
- The market and Stock J have the following probability distributions: Probability rM rJ 0.3 15% 20% 0.4 9 5 0.3 18 12 Calculate the expected rates of return for the market and Stock J. Calculate the standard deviations for the market and Stock J. Calculate the coefficients of variation for the market and Stock J.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.Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
- The market and Stock A have the following probability distributions: Probability Return on market Return on Stock A 0.2 18% 16% 0.3 12% 14% 0.5 10% 11% Calculate the expected rates of return for the market and Stock A. Calculate the coefficient of variation for the market and Stock A (Standard deviation for market is 3.0265% and standard deviation for Stock A is 2.0224%).The market and Stock J have the following probability distributions: Probability rM rJ 0.3 14 % 18 % 0.4 10 4 0.3 18 13 Calculate the expected rates of return for the market and Stock J. Round your answers to one decimal place. Expected rate of return (Market): % Expected rate of return (Stock J): % Calculate the standard deviations for the market and Stock J. Do not round intermediate calculations. Round your answers to two decimal places. Standard deviation (Market): % Standard deviation (Stock J): %Stock A and B have the following probability distributions of expected future returns: Probability A B 0.1 (20%) (46%) 0.2 7 0 0.4 15 15 0.2 23 30 0.1 47 50 What is the expected rate of return for Stock A? What is the standard deviation of returns for Stock B?