2,25% and 6,25%, with a correlation of 50%. What would we the risk (standard deviation) of a portfolio with 100% return?

Q: 3. Asset 1 has an expected return of 10% with a standard deviation of 25%, and asset 2 has an…

A: To find the optimal portfolio consisting of risky assets and risk-free asset we can use the Capital…

Q: Consider two stocks A and B. Both have an expected return of 10%, and their standard deviations are…

A: The process of choosing a mix of securities or assets that optimizes returns for a given level of…

Q: Assume your portfolio standard deviation is 8 whereas the market has a standard deviation of 6.8.…

A: First we need to determine the systematic risk using the formula below:

Q: The optimal risky portfolio has an expected return of 15% and a standard deviation of 10%. The…

A: Optimal risky portfolio is suitable to risk averse investors who want to minimise their investment…

Q: Asset W has an expected return of 21.3 percent and a beta of 2.05. If the risk-free rate is 3.5…

A: Following details are given to us in the question regarding Asset W : Expected Return (ER) = 21.3…

Q: Given the non-satiation and risk aversion assumptions, which of the following five portfolios has…

A: The question is based on the concept of sharp ratio, which shows the excess return of a portfolio…

Q: 1. Consider the table below which lists a set of portfolios with each of their expected return E(R)…

A: To create the efficient frontier, we plot the expected return (E(R)) on the y-axis and the standard…

Q: What is the standard deviation of an efficient portfolio with a 21.4-percent expected rate of…

A: ERP : 21.4%R(f): 6.4%ERM: 9.4%σM: 25.4%

Q: Table attached shows the historical returns for Companies A, B and C If one investor has a…

A: The expected return of the stock refers to the profits that the stock provides on average. It is…

Q: A portfolio has a total return of 4.5%, a standard deviation of 40%, and a beta of 0.5. The market…

A: Market return, Rm = 12%Standard deviation of market return = 20% Market's treynor measure = 0.10 We…

Q: You compute the optimal risky portfolio to have the expected return of 12% and standard deviation of…

A: Here, Expected Return of Portfolio  is 12% Standard Deviation is 20% Risk-free rate is 4% Risk…

Q: A portfolio has a variance of .0139, a beta of 1.13, and an expected return of 13.93%. What is the…

A: Sharpe ratio  is computed by following formula:-Sharpe ratio = whereRp=  expected return of…

Q: Which of the following portfolio risk-return combinations yields the best CAL for investors assuming…

A: The Capital Allocation Line (CAL) is a graphical representation used in portfolio theory to…

Q: Consider portfolio x with a beta of 1.3 and standard deviation of 25%. If the standard deviation of…

A: The portfolio will be considered as efficient or optimal if the standard deviation for the portfolio…

Q: Assume you have an optimal risky portfolio with an expected return of 17% and a standard deviation…

A: Expected return (Re) = 17% Risk free rate (Rf) = 5% Risk aversion measure (A) = 2 Standard deviation…

Q: Find the expected portfolio return and standard deviation if you were to invest 50% of your…

A: A portfolio is a group of investments in which an investor has invested funds or money. A portfolio…

Q: A portfolio has an average return of 14.4 percent, a standard deviation of 18.5 percent, and a beta…

A: The Sharpe ratio: The Sharpe ratio is one of the most commonly used measures to assess the…

Q: A portfolio has a total return of 4.5%, a standard deviation of 40%, and a beta of 0.5. The market…

A: Market return, Rm = 13.5%Standard deviation of market return = 20% Market's treynor measure = 0.10…

Q: Suppose CAPM is true. You are considering investing in an equally weighted portfolio of two stocks,…

A: Variance of two asset portfolio Consider a portfolio consisting of two assets asset A and asset B.…

Q: Your portfolio has a beta of 1.24, a standard deviation of 14.3 percent, and an expected return of…

A: Portfolio beta = 1.24 Standard deviation = 14.3% Expected return = 12.50% Market return = 10.7% Risk…

Q: 4. Suppose portfolio P's expected return in 12%, its volatility (standard deviation) is 20%, and the…

A: Solution:- Sharpe Ratio measures the excess return over risk free return, per unit of risk taken ie.…

Q: If the simple CAPM is valid, which of the following situations are possible? Explain. Consider each…

A: The simple CAPM is a model that describes the relationship between the expected return and risk of a…

Q: 3. The risk free rate is 2% and the expected return and standard deviation on the market is 12% and…

A: Risk free Return (Rf ) =  2% Return of Market (Rm) = 12% Standard Deviation of market = 20%

Q: A portfolio has an expected return of 16.78% and a variance of 1.03%. If the risk-free rate is…

A: The Sharpe ratio refers to the return of the portfolio that is adjusted for risk to determine the…

Q: Which of the following portfolio risk-return combinations yields the best CAL for investors assuming…

A: The Sharpe ratio is a commonly used financial metric that measures the risk-adjusted return of an…

Q: Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Company A 30% 7% 18% -22% -14% 10% 26% -10%…

A: We have to design two portfolios and then find their average return, standard deviation of return…

Q: An optimal risk portfolio’s expected return is 14%, standard deviation is 22%. If risk-free rate is…

A: The tradeoff between the return and risk of the portfolio is measured by the slope of CAL(Capital…

Q: sset X has a beta of 1.7 and an expected return of 15.1%. Asset Y has a beta of .70 and an expected…

A: Let the total portfolio should of $ 1.     Total portfolio = Investment in Asset X + Investment in…

Q: What is the alpha of a portfolio with a beta of 2, an actual return of 22%, market- return of 12%,…

A: The risk free rate, market return and beta of a portfolio is given. And, the required return is…

Q: You calculated that the average retum of your portfolio is 3% and the standard deviation is 22%,…

A: The objective of this question is to calculate the Value at Risk (VaR) for a portfolio given the…

Q: A portfolio has a correlation of 0.40 with the overall market and produces a Sharpe Ratio of 0.2. If…

A: There are different measures which are used for the estimation of portfolio performance. One such…

Q: If the risk free rate is 3.6 percent and the risk premium is 4.6 percent what is the required…

A: Here,Risk Free Rate is 3.6%Risk Premium is 4.6%

Q: Assume you have an optimal risky portfolio with an expected return of 17% and a standard deviation…

A: Given: Expected return = 17% Standard deviation = 27% Risk free rate = 5% Risk aversion = 2

Q: The beta on risky asset A is 1.8 and the beta on risky asset B is 1.1. The expected return on the…

A: Beta on A = 1.8 Beta on B = 1.1 Expected Return on Market Portfolio = 10% Risk Free Rate = 4%…

Q: Use the following information: ElrXOM E[TMS)=29.7%, standard deviationMS = 35.2% = 15.6%, standard…

A: Weight of XOM is 0.43 and weight of MS is 1-0.43= 0.57

Q: portfolio made up of the following three stocks if you want to distribute your investment as…

A: Return on portfolio is weighted average return of portfolio.

Q: Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and…

A: It is a case where the portfolio consists of three assets. The two assets are risky assets and the…

Q: Suppose the risk free rate is 5% and the market portfolio has an expected return of 10%. Portfolio Z…

A: Beta assesses a stock's volatility relative to the broader market, focusing on systematic risk. It…

Q: The risk-free rate is 2%, the market risk premium is 8.00%, and portfolio A has a beta of 2. What is…

A: Given: Risk free rate = 2% Market risk premium = 8% Beta of portfolio = 2 Computation of required…

Q: What is the standard deviation of an efficient portfolio with a 20.9% expected rate of return given…

A: The degree of variance or dispersion in a collection of data is measured statistically using the…

Q: An asset has normally-distributed returns, with mean of 10.6% and standard deviation of 14.8%. What…

A: Confidence interval = 100% - 2%= 98%The z-score for a 98% confidence level can be found using a…

Q: Your portfolio has a beta of 1.73, a standard deviation of 29 percent, and an expected return of…

A: Treynor ratio = Portfolio Return - Risk Free ReturnPortfolio Beta

Q: from the table below. Assuming the risk free rate is 5%. A. Choose the best portfolio according to…

A: Sharpe Ratio: It is used for determining how an asset or the security has been performing using its…

Q: the CAPM world, the average investor’s risk aversion parameter is 2 and the standard deviation of…

A: The capital asset pricing model is referred to as CAPM. It establishes the connection between…

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.