2. A portfolio manager is considering investing in two mutual funds and the risk free asset(T-Bills). The data for these securities is given by:E(r) oStock Fund (S) 18% 23%13%Bond Fund (B) 6%T-Bill5%0%The correlation between the two funds is -0.1.(a)The optimal risky portfolio, M, is reached by investing 42% in stocksand 58% in bonds. Calculate the expected return, standard deviation and SharpeRatio of this portfolio.

The expected return of a portfolio is the return that is expected on average from investing in the…

2. A portfolio manager is considering investing in two mutual funds and the risk free asset (T-Bills). The data for these securities is given by: E(r) o Stock Fund (S) Bond Fund (B) T-Bill 18% 23% 6% 13% 5% 0% The correlation between the two funds is -0.1. (a) The optimal risky portfolio, M, is reached by investing 42% in stocks and 58% in bonds. Calculate the expected return, standard deviation and Sharpe Ratio of this portfolio.

2. A portfolio manager is considering investing in two mutual funds and the risk free asset (T-Bills). The data for these securities is given by: E(r) o Stock Fund (S) Bond Fund (B) T-Bill 18% 23% 6% 13% 5% 0% The correlation between the two funds is -0.1. (a) The optimal risky portfolio, M, is reached by investing 42% in stocks and 58% in bonds. Calculate the expected return, standard deviation and Sharpe Ratio of this portfolio.

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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Suppose that a mutual fund manager has a $20 million portfolio with a beta of 1.2. Also suppose that the risk free rate is 4.5% and the market risk premium is 6%. The manager expects to receive an additional $5 million, which is to be invested in a number of new stocks to add to the portfolio. After these stocks are added, the manager would like the fund's required rate of return to be 10.5%. For notation, let r represent the required return, let RF represent the risk free rate, let b represent the beta of a group of stocks, and T'm represent the market return. According to the video, which equation most closely describes the security market line (SML)? Or=TRF-bx (TM - TRF) Ⓒr=TRF+b× (™M - TRF) b ○ r = TRF + TM-TRF Or=rRF+bx (M+TRF) Hint: Recall that the manager wants the new required rate of return for the portfolio to remain at 10.5%. Using the equation you just identified, and plugging in the relevant information, yields a beta of the portfolio, after the new stocks have been added,…
(c) Which security will you choose to put in your portfolio? Explain. (d) Calculate the covariance and correlation of coefficient for the above securities. (e) Are the above securities being a good combination in the portfolio? Justify. Note: 1Please clear question answer no Whois one (c), (d) & (e) 2. No need excel formula
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 4%. The characteristics of the risky funds are as follows: Stock fund (S) Exp. Return Bond fund (B) 0.43 15% O 1.00 0.70 11% The correlation between the fund returns is 0.2. Solve numerically for the Sharpe Ratio of the optimal risky portfolio. 0.66 Std. Deviation 0.85 26% 12%
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 9%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 19% 12 Standard Deviation 32% 15 The correlation between the fund returns is 0.11. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation
As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
Consider two asset classes: Stocks and Bonds. You estimate the following parameters for these two asset class funds. correlation matrix b/n Stocks and Bonds E(r ) sd(r) Stocks Bonds Stocks 19% 28% 10.5 Bonds 10% 8% 0.5 1 Consider a $80,000 portfolio consisting of $60,000 in Stocks and $20,000 in Bonds. So, the portfolio is 75% in Stocks and 25% in Bonds. Given the expected return on the portfolio is 16.75%, and the standard deviation of the portfolio return is 22.07%, what is the 2.5% value at risk (note: the 95% confidence interval lower limit on the portfolio value is the value of the portfolio at this level of loss)? (use 2 decimals without $, so a loss of -$10.00 is -10.00) Answer:Question 2 - 21205.76 Feedback The correct answer is: -21908.92 expain
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 4%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation 234 14 294 17 Stock fund (5) Bond fund (8) The correlation between the fund returns is 0.12. You require that your portfolio yield an expected return of 12%, 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 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.) Money market fund Stocks Bonds Proportion Invested *** Check my work
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 6%. The characteristics of the risky funds are as follows: Expected Return 21% 13 Standard Deviation 36% 22 Stock fund (s) Bond fund (B) The correlation between the fund returns is 0.13. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
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 4%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 19 % 34 % Bond fund (B) 10 18 The correlation between the fund returns is 0.11. What is the Sharpe ratio of the best feasible CAL?
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 6%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 24% 14 Standard Deviation 33% 22 The correlation between the fund returns is 0.14. You require that your portfolio yield an expected return of 16%, and that it be efficient, that is, on the steepest feasible CAL. Required: a. What is the standard deviation of your portfolio? b. What is the proportion invested in the money market fund and each of the two risky funds? Answer is complete but not entirely correct. Complete this question by entering your answers in the tabs below.
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 -19.4% 25.1 13.7 7.2 -1.98 Sharpe ratio Treynor ratio Market -37.5% 20.8 13.3 8.4 -4.2 Risk-Free 1% 4 2 6 2 What are the Sharpe and Treynor ratios for the fund? Note: Do not round intermediate calculations. Round your answers to 4 decimal places.
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