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

See similar textbooks

Similar questions

D5)
You own a portfolio equally invested in a risk-free asset and two stocks. One of has risky as has a beta of 1.6, and the total portfolios is equally as risky as the market. What's the beta of the second stock?
Portfolio Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04) with pA,B = 0.2 where rA and rB are CCR’s. a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR. b) Find the portfolio expected gross return. c) Find the expected portfolio CCR.
In the following exercise, separate the investments according to the type of Keynesian demand they are: Transactions (0% to 5%), Precautionary (6% to 9%), and Speculative demand (greater than 10%). Investment in each category has the same risk. So you want to invest in the highest return for the same risk. Take each demand type and choose the highest return and put that amount into the investment. For example, if Bond fund A has a return of 4% and Fund B has a return of 5%, they have the same risk, so you would put $70 into bond fund B. You have the following investments Opportunities ad returns. Fidelity Bonds 11% Fidelity Magellan 9% Putman Bonds one 4% Putman bonds Two 12% Growth Stock One 15% Growth and Income 8% Income Fund 3% Putman Growth…
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 estimated the single index model (SIM) fund B and found that its alpha and beta are 0.035 and 1.1 respectively. The standard deviation of Fund B's excess returns is 30% and the market portfolio excess returns have a standard deviation of 20%. What's the information ratio of Fund B?
If an investor that owns a portfolio with 3 stocks increases their portfolio to 30 stocks, which of the following is MOST LIKELY to happen? Select one: a. risk will increase b. risk would decrease c. Systematic risk would increase d. return would increase
from the table below. Assuming the risk- free rate is 5%. A. Choose the best portfolio according to the Sharpe measure with explanation. B. Choose the best portfolio according to the Treynor measure with explanation. C. Choose the best portfolio according to the Jensen measure with explanation. Portfolio A 0.1 0.1 0.11 0.11 0.12 0.12 0.13 0.14 0.14 0.18 0.16 0.18 0.17 0.18 0.18 0.18 0.18 0.17 0.17 0.18 Portfolio B 0.12 0.12 0.16 0.2 0.14 0.16 0.17 0.14 0.18 0.2 0.18 0.16 0.17 0.2 0.22 0.22 0.18 0.2 0.24 0.24 Mraket M 0.09 0.09 0.1 0.1 0.11 0.11 0.11 0.12 0.12 0.13 0.12 0.14 0.12 0.14 0.13 0.13 0.13 0.14 0.14 0.13
Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A B с 9.30% 10.35 12.10 14% 14 14 0.8 1.1 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (гM-TRF)? Round your answer to one decimal place. % b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % d. What would you expect the standard deviation of Fund P to be? I. Less than 14% II. Greater than 14% III. Equal to 14% -Select-
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
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

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS