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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.
Step by step
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- Suppose you have portfolio of four stocks Stock A, B, C and D, Total investment in these stocks is equal to 2019331015 $, Beta of these stocks is 1.5, (0.5), 1.25, and 0.75 and proportion invested is 22%, 20%, 30%, and remaining in D. If the Risk free rate is 6% and market rate of return is 15%. Calculate a) Investment in each stock. b) Market premium c) Required Rate of return for each stock. d) Required rate of return of Portfolio. e) If expected rate of return of stock A is 10%, what do you think if it is overvalued or undervalued.You hold an equally-weighted (half invested in each) portfolio consisting of two stocks A and B, whose returns for the past three years are given below. Year Stock A Stock B 2018 24% -8% 2019 -4% 20% 2020 10% 6% What are the average return and standard deviation of your portfolio AB? Average return is %, standard deviation is %. Round your answer to a whole number, e.g., x or xx. (Hint: Think of portfolio return each year.)You own a portfolio that has $3,00o0 invested in Stock A and $4,100 invested in Stock B. Assume the expected returns on these stocks are 10 percent and 16 percent, respectively. What is the expected return on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return %
- Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?Qn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% PortfolioFollowing are the probability distribution of returns of portfolio of Stock A and Stock B in equal proportion of weight in each state of economy. You are required to calculate Expected Return and Risk for individual Stocks? State of Economy 1 2 3 4 5 Probability 0.2 0.2 0.2 0.2 0.2 Return on Stock A (%) 15 (5) 5 35 25 Return on Stock B (%) (5) 15 25 5 35 If you deposit Rs. 1,000 in the bank at a nominal interest rate of 6 percent, you will have Rs. 1,060 at the end of the year. Suppose that the inflation rate during the year is also 6 percent. Find real amount in Peso?
- Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y % 4You are given the following information about a portfolio consisting of stocks X, Y, and Z: Stock Investment Expected Return X 10,000 8% Y 15,000 12% 25,000 16% Calculate the expected return of the portfolio.You decide to form a portfolio of the following amounts invested in the following stocks. What is the beta of the portfolio? SET YOUR CALCULATOR TO 4 DECIMAL PLACES THEN INPUT THE ANSWER ROUNDING TO 2 DECIMALS i.e. if your answer is 1.2455, enter it as 1.25. Amount Beta Expected Return $9,370 0.69 10.50% Microsoft $5,598 1.6 16.90% $4,261 1.1 15.75% $4,668 2.39 11.80% Stock Apple Ford Time Warner
- 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?You own a portfolio that has $1,331 invested in Stock A and $2,857 invested in Stock B. If the expected returns on these stocks are 0.08 and -0.01, respectively, what is the expected return on the portfolio? Enter the answer with 4 decimals (e.g. 0.1234).Set up the complete formula for Dollar Weighted Return (DWR) for the following portfolio including final value of the portfolio. Year 0 1 2 3 4 Actions at the ending of the year (Yr0)Starting with $1000 (Yr1)Adding $100 (Yr2)Withdrawing $200 (Yr3)Adding $300 (Yr4)Ending Value = ? ROR during each Yr (Yr0) - (Yr1) 8% (Yr2)-4% (Yr3) 9% (Yr4) 3% A. Calculate the time weighted return (TWR) Complete Questions with respect to Excel