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 R₂ after 1 year and that $1 invested in a bond fund yields R. 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 0.25. If you place a fraction w of your money in the stock fund and the rest, 1 - w, in the bond fund, then the return on your investment is R=wR₂ + (1-w)Rp Suppose that w = 0.51. 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.)

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 R₂ after 1 year and that $1 invested in a bond fund yields R. 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 0.25. If you place a fraction w of your money in the stock fund and the rest, 1 - w, in the bond fund, then the return on your investment is R=wR₂ + (1-w)Rp Suppose that w = 0.51. 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.)

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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If $x is invested in mutual fund A, the annual return has an expectation of $0.1x and a standard deviation of $0.02x. If $x is invested in mutual fund B, the annual return has an expectation of $0.1x and a standard deviation of $0.03x. Suppose that the returns on the two funds are independent of each other and that I have $1000 to invest. (a) What are the expectation and variance of my annual return if I invest all my money in fund A? (b) What are the expectation and variance of my annual return if I invest all my money in fund B? (c) What are the expectation and variance of my total annual return if I invest half.
As a fund manager in Bull & Bear Securities, you are given the following information regarding your portfolio. Rate of Return if State Occurs {:[" State of "],[" Economy "]:} {:[" Probability of "],[" State of Economy "]:} Stock A Stock B Stock C Boom .72 .06 .11 .17 Bust .28 .19 -.04 .23 Based on the above information, compute the following: i) The expected return in boom economy for all the three stocks. ii) The expected return in bust economy for all the three stocks. iii) The expected return for the portfolio that invest 30 percent each in A and B and 40 percent in C. iv) The standard
Suppose you are given stocks A and B. Stock A has an expected return of 11% and a standard deviation of 4%. Stock B has an expected return of 21% and a standard deviation of 10%. The correlation between them is -1. Suppose it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Round answer to 3 decimal places.)
Suppose Stock A has B = 1 and an expected return of 11%. Stock B has a B = 1.5. The risk- free rate is 5%. Also consider that the covariance between B and the market is 0.135. Assume the CAPM is true. Answer the following questions: a) Calculate the expected return on share B. b) Find the equation of the Capital Market Line (CML). c) Build a portfolio Q with B = 0 using actions A and B. Indicate weights (interpret your result) and expected return of portfolio Q.
You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?
You wish to compare the performance of two different mutual funds. Return ßp M_Fund A 0.072 0.9 M_Fund B 0.078 1.1 During the same period, returns for the following were: S&P500 rf 0.075 0.045 Which mutual fund performed better on a risk-adjusted basis, i.e. RE: alpha? Pick the best answer, e.g. less negative alpha closer to 0 -- is better. Both funds delivered the same alpha or risk-adjusted returns One fund beat the S&P benchmark Both funds underperformed relative to their risk M_Fund B delivered positive alpha M_Fund B had higher alpha than M_Fund A
1)Please briefly define the following terms Risk Aversion Risk-Neutral Diversification Unsystematic Risk (also give examples) Systematic Risk (also give examples) 2)Please just list the four basic sources of long term funds. 3)Please explain the difference between the terms interest rate and required return by defining each. 4)Suppose you have a portfolio of Vestel and Turkcell with a beta of 1.8 and 0.9, respectively. If you put 29% of your money in Vestel, and the rest in Turkcell, what is the beta of your portfolio?
You want to allocate your money between the risk free asset (0.015), a fixed income fund ( E(B)=0.079, Volatility(B)=0.11), and a diversified stock fund ( E(S)=0.116, Volatility(S)=0.18). The correlation between the two risky funds is 0.57. When creating the optimal risky portfolio, how much weight in decimals should you invest in the diversified stock fund?
Suppose you manage an equity fund with the following securities. Use the following data to calculate the information ratio of each stock. Input Data Vogt Industries Isher Corporation Hedrock, Incorporated Alpha 0.012 0.006 0.016 Beta 0.277 1.015 1.630 Standard Deviation 0.156 0.168 0.181 Residual Standard Deviation 0.117 0.048 0.113 Required: Using the information in the table above, please calculate the information ratio for each stock. (Use cells A5 to D8 from the given information to complete this question.) Vogt Industries Isher Corporation Hedrock, Incorporated Information Ratio
Suppose you manage an equity fund with the following securities. Use the following data to help build an active portfolio. Input Data Vogt Industries Isher Corporation Hedrock, Incorporated Alpha 0.012 0.006 0.016 Beta 0.277 1.015 1.630 Standard Deviation 0.156 0.168 0.181 Residual Standard Deviation 0.117 0.048 0.113 Information Ratio 0.1026 0.1250 0.1416 Alpha/Residual Variance 0.877 2.604 1.253 Market Data S&P 500 Treasury Bills Expected Raturn 12.00% 2.50% Standard Deviation 20.00% 0.00% Required: Using the information in the table above, please first calculate the initial weight of each stock in an active portfolio, using the Treynor Black approach. Then adjust each weight for beta. (Use cells A5 to D14 from the given information to complete this question.) Treynor-Black Model Vogt Industries Isher Corporation Hedrock, Incorporated…
If a fund has a return of 12% and a beta of 1.4, and if the risk-free rate is 2%, and market return rate is 8%, calculate Jensen's Alpha O a. 3.6 Ob. 2.4 O c. 1.6 Od. 1.4
An investiment portfolio consists of two securities, X and Y. The weight of X is 30%. Asset X's expected return is 15% and the standard deviation is 28%. Asset Y's expected return is 23% and the standard deviation is 33%. Assume the correlation coefficient between X and Y is 0.37. A. Calcualte the expected return of the portfolio. B. Calculate the standard deviation of the portfolio return. C. Suppose now the investor decides to add some risk free assets into this portfolio. The new weights of X, Y and risk free assets are 0.21, 0.49 and 0.30. What is the standard deviation of the new portfolio?

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