Consider a portfolio with two assets and three states of nature at the end of the year. Would it be possible to create a portfolio that is risk-free under these circumstances?
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Consider a portfolio with two assets and three states of nature at the end of the year. Would it be possible to create a portfolio that is risk-free under these circumstances?
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- How do I calculate portfolio return and risk for an equally weighted portfolio using expected returns for the upcoming year using the CAPM model in excel?You have a portfolio of three assets at the beginning of the year: Asset 1 is 30% of the portfolio, Asset 2 is 40% of the portfolio, and Asset 3 is 30% of the portfolio. During the year, Asset 1 has a return of 4%, Asset 2 has a return of 12%, and Asset 3 has a return of -20%. What was the return on your portfolio for the year?A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. Use a spreadsheet to perform the following analysis. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the…
- Assume you are considering a portfolio containing Asset 1 and Asset 2. Asset 1 will represent 37% of the dollar value of the portfolio, and asset 2 will account for the other 63%. Assume that the portfolio is rebalanced at the end of each year. The expected returns over the next 6 years, 2021–2026, for each of these assets are summarized in the following table: Data table (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Projected Return Year Asset L Asset M 2021 −9% 33% 2022 15% 5% 2023 26% −9% 2024 4% 18% 2025 −9% 33% 2026 33% −18% . a. Calculate the expected portfolio return, rp, for each of the 6 years. b. Calculate the average expected portfolio return, rp, over the 6-year period. c. Calculate the standard deviation of expected portfolio returns, sp, over…You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 12 percent and 15 percent, respectively. The standard deviations of the assets are 29 percent and 48 percent, respectively. The correlation between the two assets is .25 and the risk-free rate is 5 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent?Using the information below to calculate the following monthly returns for the portfolio. a. Time Weighted Return b. Money Weighted Return c. Discuss the usefulness of above returns when evaluating the performance of the investment portfolio over a given time period. Assume all investments/withdrawals are made at the beginning of the month Month Return Investment January 5% 10000 February 3% March 3% April 7% May -6% 5000 June 2% July 2% August -9% September 7% -5000 October -4% November 2% December -2%
- how to calculate the average monthly return for a portfolioA portfolio consists of assets with the following expected returns (refer to image): a. What is the expected return on the portfolio if the investor spends an equal amount on each asset? b. What is the expected return on the portfolio if the investor puts 50 percent of available funds in technology stocks, 10 percent in pharmaceutical stocks, 24 percent in utility stocks, and 16 percent in the savings account?Leon has in his investment a portfolio that paid him the rate of returns of 14 %, -13%, 15.6%, 17% and 19.5% over the past five years. Required: a)Calculate the arithmetic average return (AAR) and geometric average return (GAR) of the portfolio? If someone asks you what is the actual compounding rate of return of Leon’s portfolio over the past five year, which one (AAR or GAR) will be a better answer? b)Following is forecast for economic situation and Leon’s portfolio returns next year, calculate the expected return, variance and standard deviation of the portfolio. State of economy Probability Rate of returns Mild Recession 0.25 -2.5% Normal 0.45 13.5% Growth 0.30 20% c) Assume that expected return of the stock A in Leon’s portfolio is 13.2%. Beta of this stock is 1.2, risk free rate is 3.5%. Calculate market portfolio rate of return, which is used to compute the expected return of this stock by Capital Asset Pricing Model (CAPM)?
- Considering the attached set of securities and portfolio returns: Assume that you initially invested $1,000,000 in the portfolio and that the distribution of the annual rate of return of the portfolio is normal. What is the distribution of the return of the portfolio 20 years after its formation? Provide the graph of the distribution of the return of the portfolio.Portfolio Management A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the variance of the annual rate of…Assume that an investor has formed a portfolio of two assets; Asset A and Asset B. if he invested 30% of his wealth in asset A. If the return on asset A is 20% and the return on asset B is 40%, the weight of the wealth invested in asset B is? What is the portfolio return?
