At the beginning of the year I have $125,000 to invest. I build my optimal portfolio by doing careful capital allocation. 65% goes into an Index ETF, while 35% goes into Secure (risk-free) assets. Over the year, the index ETF earns 9.9%, while the risk-free asset earns 2.4%. Calculate the new total value of my portfolio, and calculate the new weight of the Index ETF in my portfolio? (your answer should be the new weight) (Give your answer as a percentage with 2 decimals, e.g., if the result of your calculations is 0.345224 (or 34.5224%), enter 34.52 as your answer.)

At the beginning of the year I have $125,000 to invest. I build my optimal portfolio by doing careful capital allocation. 65% goes into an Index ETF, while 35% goes into Secure (risk-free) assets. Over the year, the index ETF earns 9.9%, while the risk-free asset earns 2.4%. Calculate the new total value of my portfolio, and calculate the new weight of the Index ETF in my portfolio? (your answer should be the new weight) (Give your answer as a percentage with 2 decimals, e.g., if the result of your calculations is 0.345224 (or 34.5224%), enter 34.52 as your answer.)

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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You have been asked for your advice in selecting a portfolio of assets and have been supplied with the following data:. You have been told that you can create two portfolios-one consisting of assets A and B and the other consisting of assets A and C-by investing equal proportions (50%) in each of the two component assets. a. What is the average expected return, r, for each asset over the 3-year period? b. What is the standard deviation, s, for each asset's expected return? c. What is the average expected return, rp, for each of the portfolios? d. How would you characterize the correlations of returns of the two assets making up each of the portfolios identified in part c? e. What is the standard deviation of expected returns, Sp, for each portfolio? f. What would happen if you constructed a portfolio consisting of assets A, B, and C, equally weighted? Would this reduce risk or enhance return?
An investment advisor has recommended a R50,000 portfolio containing assets R, J, and K; R25,000 will be invested in asset R, with an expected annual return of 12 percent; R10,000 will be invested in asset J, with an expected annual return of 18 percent; and R15,000 will be invested in asset K, with an expected annual return of 8 percent. What is the expected annual return of this portfolio? What is the correct answer? A. 12.01% B. 12.00% C. 11.98% D. 12.93%
Consider a client with a 10% return objective. A financial adviser creates a policy statement for that client, identifies relevant financial securities that fit the risk return profile for this client, and drafts an optimal asset allocation using specialized optimization techniques. After one year, the financial adviser's recommendations produce a return of 10%. Question: Is this client satisfied with the performance of the portfolio?
You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the portfolio
An investment banker has recommended a $100,000 portfolio containing assets B, D, and F. $30,000 will be invested in asset B, with a beta of 1.5; $50,000 will be invested in asset D, with a beta of 2.0; and $20,000 will be invested in asset F, with a beta of 0.5. The beta of the portfolio is 1.37 1.61 1,55 1.43
Jamie Wong is thinking of building an investment portfolio containing two stocks, L and M. Stock L will represent 50% of the dollar value of the portfolio, and stock M will account for the other 50%. The historical returns over the next 6 years, 2013−2018,for each of these stocks are shown in the following table: (see attached table) a. Calculate the actual portfolio return, rp, for each of the 6 years. b. Calculate the expected value of portfolio returns, rp, over the 6-year period. c. Calculate the standard deviation of expected portfolio returns, σrp, over the 6-year period.
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?
You are offered an investment with returns of $ 2,213 in year 1, $ 4,670 in year 2, and $ 3,184 in year 3. The investment will cost you $ 6,506 today. If the appropriate Cost of Capital is 7.6 %, what is the Net present Value of the investment?
Consider an investment whose annual return is normally distributed with a mean of 6% and a standard deviation of 14%. (a) What is the probability that I lose money on this investment, in any given year? Please express your answer as a percentage, to the nearest ten basis points. Probability of Losing Money = (b) What is the 10% value at risk on the investment? Please express your answer as a percentage, to the nearest ten basis points. VaR 0.1 = % % (c) If I invest in this asset, how much should expect to lose in my worst year out of 10? Please express your answer as a percent, to the nearest ten basis points. %
Suppose that we make contributions to a fund of $125 today and $750 in twoyears for a return of $1000 in one year. First write the Net Present Value as a function of the discount factor ν. Secondly, use the NPV to calculate the yield rate of this investment (select the larger value for i. Finally, explain whether or not this is a good investment for us. Please show all work
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)?
An investor is evaluating the historical performance of an investment fund. The following annual returns are provided to the investor: Fund Value Year 0 $120 Year 1 132 Year 2 146 Year 3 133 Year 4 128 Year 5 123 Required: a. Calculate the investment returns for each year. b. Compute the arithmetic mean return. c. Calculate the geometric mean return.

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