Suppose you have some money to invest-for simplicity, $1-and you are planning to put a fraction w into a stock market mutual fund and the rest, 1 w, into a bond mutual fund. Suppose that $1 invested in a stock fund yields R after 1 year and that $1 invested in a bond fund yields Rp. suppose that R, is random with mean 0.08 (8%) and standard deviation 0.07, and suppose that R, is random with mean 0.05 (5%) and standard deviation 0.04. The correlation between R, and R, is 0.27. If you place a fraction w of your money in the stock fund and the rest, 1 the bond fund, then the return on your investment is R=wR, + (1-w)R. - Suppose that w = 0.53. Compute the mean and standard deviation of R. The mean is. (Round your response to three decimal places.) The standard deviation is (Round your response to three decimal places.) w, in

Suppose you have some money to invest-for simplicity, $1-and you are planning to put a fraction w into a stock market mutual fund and the rest, 1 w, into a bond mutual fund. Suppose that $1 invested in a stock fund yields R after 1 year and that $1 invested in a bond fund yields Rp. suppose that R, is random with mean 0.08 (8%) and standard deviation 0.07, and suppose that R, is random with mean 0.05 (5%) and standard deviation 0.04. The correlation between R, and R, is 0.27. If you place a fraction w of your money in the stock fund and the rest, 1 the bond fund, then the return on your investment is R=wR, + (1-w)R. - Suppose that w = 0.53. Compute the mean and standard deviation of R. The mean is. (Round your response to three decimal places.) The standard deviation is (Round your response to three decimal places.) w, in

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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After learning the course, you divide your portfolio into three equal parts (i.e., equal market value weights), with one part in Treasury bills, one part in a market index, and one part in a mutual fund with beta of 1.11. What is the beta of your overall portfolio?
After learning the course, you divide your portfolio into three equal parts (i.e., equal market value weights), with one part in Treasury bills, one part in a market index, and one part in a mutual fund with beta of 0.77. What is the beta of your overall portfolio?
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.93. Year 2018 2019 2020 2021 2022 Fund -16.408 25.10 13.20 6.20 -1.68 Market -32.50% 20.30 11.80 8.00 -3.20 Jensen's alpha Information ratio Risk-Free 38 4 Calculate Jensen's alpha for the fund, as well as its information ratio. Note: Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places. 5 %
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An investor considers two mutual funds. Based on past experience, the first fund has an expected return of 0.08 and a standard deviation of 0.05. The second fund has an expected return of 0.07 and a standard deviation of 0.06. There is no reason to assume that future performance of these funds will differ from past performance. However, the second fund has a guarantee attached that the return in any year will not be negative.RequiredA. Which fund would a rational investor be likely to buy according to single-person decision theory?B. The investor buys the second fund. Use prospect theory to explain why.
Consider the information on the market, the risk-free asset, and a mutual fund. You want to build a two-asset portfolio comprising the market portfolio and the risk-free asset such that your portfolio beta is the same as the mutual fund. What is the portfolio weight on the market in your portfolio? Mutual Fund Market Risk Free E(k) 11.1% 8.5% 2.0% Beta 1.4 1 0
How can a mutual fund manager who follows a momentum trading strategy expect to earn above - average return 1. Provided the stock price has been decreasing below the mean reversion point and other investors follow a mean reversion strategy the fund manager is likely to earn an above average return 2. If the fund manager follows a momentum strategy and buys a stock as the price is increasing while other investors follow a mean reversion strategy, then it is likely the stock price will continue to rise 3. Provided the stock price have been rising above the mean reversion point and other investors follow a mean reversion strategy, the fund manager is likely to earn an above average return 4. If the fund manager follows a momentum strategy and buys a stock as the price is increasing and other investors also follow a momentum strategy, then it is likely the stock price will continue to rise
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 16%, and that it be efficient, that is, on the steepest feasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) Standard deviation Expected Return Standard Deviation 198 31% 23 14 Money market fund Stocks Bonds 19.33 % b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.) Proportion Invested
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 2019 2020 2021 2022 Fund -15.2% 25.1 12.4 6.2 -1.2 Sharpe ratio Treynor ratio Market Risk-Free 1% 3 2 4 2 -24.5% 19.5 9.4 7.6 -2.2 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places.
After learning the course, you divide your portfolio into three equal parts (i. e.. equal market value weights), with one part in Treasury bills, one part in a market index, and one part in a mutual fund with beta of 1.32. What is the beta of your overall portfolio?
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 Fund -18.80% Market -36.50% Risk-Free 1% 2019 25.10 20.70 6 2020 13.60 13.00 2 2021 2022 7.00 -1.92 8.40 -4.20 6 2 Calculate Jensen's alpha for the fund, as well as its information ratio. Note: Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places. Jensen's alpha Information ratio Answer is not complete. 3.69 %

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