J&J has expected returns of 7% with a standard deviation of 10%. The W company has expected returns of 16% with a standard deviations of 20%. The correlation of returns between these two companies is 22% (same as 7 above). Now calculate the expected return and standard deviation of a portfolio that consist of a long position of £10,000 in J&J and a short position of £2,000 in W?

J&J has expected returns of 7% with a standard deviation of 10%. The W company has expected returns of 16% with a standard deviations of 20%. The correlation of returns between these two companies is 22% (same as 7 above). Now calculate the expected return and standard deviation of a portfolio that consist of a long position of £10,000 in J&J and a short position of £2,000 in W?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Assume that the short-term risk-free rate is 6%, the market index S&P500 is expected to pay returns of 30% with the standard deviation equal to 40%. Asset A pays on average 10%, has a standard deviation equal to 40% and is NOT correlated with the S&P500. Asset B pays on average 16%, also has a standard deviation equal to 40% and has a correlation of 1 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Beta of asset i (?i) = ?i ?iM / ?M, where ?i, ?M are standard deviations of asset i and market portfolio, ?iM is the correlation between asset i and the market portfolio)
State the return rate (in %) for your optimal portfolio.
Fremont Enterprises has an expected return of 13% and Laurelhurst News has an expected return of 22%. If you put 40% of your portfolio in Laurelhurst and 60% in Fremont, what is the expected return of your portfolio? The expected return on the portfolio is %. (Rounded to two decimal places.)
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 33% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign. - 0.5 × Ag². X Answer is complete but not entirely correct. WIndex U(A = 2) 0.0111 0.0504 0.0808 x 0.1026 0.1164 X 0.1200 X WBills 0.0 0.2 0.4 0.6 0.8 1.0 1.0 0.8 0.6 0.4 0.2 0.0
Assume that the CAPM is true, Rf = 5%, Rm= 15% σm = 0.1. An investor with $10,000 to invest builds a portfolio, Q, of T-bills and the market portfolio. This means that: a) it would be possible for the investor to obtain a return of 17% on portfolio Q b) if portfolio Q were composed of short-selling $2,000 in T-bills and the remainder is the market portfolio, then Pqm = 1, βq = 1.2 and σq = 0.12 c) to obtain a return of 17% from portfolio Q the investor would need to invest $12,000 in the market portfolio d) all of the above are true e) only a) and b) above are true. Pls show procedure, thanks
Given the following information,what is the cost of equity capital for JJ&Co Pty Ltd? JJ&Co equity returns currently have a variance of 46.5%². The market portfolio has a 7.5% expected return and a variance of 40%². The correlation between JJ&Co equity returns and the market portfolio is 0.5. The risk-free rate is 2%.
Solve step by step
Bhupatbhai
You invest $ 4,060 in an account today. You make no additional deposits into the account. One year from today there is $ 5,140 in the account. What is the nominal interest rate that you earned on your money? (Record your answer as a percent rounded to 1 decimal place; for example, record .527945 = 52.8% as 52.8). Your Answer:
Consider a position consisting of 200,000 investment in asset A and 300,000 investment in asset B. Assume that the daily volatility of the assets are 1.5% and 1.8% respectively, and that coefficient of correlation between their returns is 0.4. What is the five day 95% VAR for the portfolio (given 95% confidence level represents 1.65 standard deviations on the left side of the normal distribution)?
The covariance of returns between Share A and Share B is 0.0243. Share A has exhibited historical returns with a mean of 12% and standard deviation of 18%. Over the same period, Share B had average returns of 21% with a standard deviation of 27%. Calculate the expected return and standard deviation of a portfolio consisting of $50,000 in Share A and $100,000 in Share B.
Assume the market return is 14% with a standard deviation of 20%, and risk-free rate is 8%. The average annual returns for Managers D, E, and F are 13%, 17%, and 16% respectively. The corresponding standard deviations are 18%, 22%, and 23%. What are the Sharpe ratios for the market and managers?

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