A pension fund manager is considering three mutual funds. The first is a stock fund, the second isa long-term government and corporate bond fund, and the third is a T-bill money market fund thatyields a sure rate of 5.5%. The probability distributions of the risky funds are:Stock fund (5)Expected Return16%10%Bond fund (B)The correlation between the fund returns is 0.10.Standard Deviation38%29%Problem 6-11 (Algo)Suppose now that your portfollo must yield an expected return of 13% and be efficient, that is, on the best feasibleCAL.Required:a. What is the standard deviation of your portfollo? (Do not round Intermediate calculations. Round your answer2 decimal places.)Standard deviation%ماb-1. What is the proportion Invested in the T-bill fund? (Do not round Intermedlate calculations. Round your ansto 2 decimal places.)Proportion invested in the T-bill fund%b-2. What is the proportion Invested in each of the two risky funds? (Do not round Intermediate calculations.Round your answers to 2 decimal places.)Proportion InvestedStocks%Bonds%

The standard deviation can be used to calculate how dispersed a set of numbers is. It is minimal…

a. What is the standard deviation of your portfollo? (Do not round Intermediate calculations. Round your answ 2 decimal places.) Standard deviation % B b-1. What is the proportion Invested in the T-bill fund? (Do not round Intermediate calculations. Round your ar to 2 decimal places.) Proportion invested in the T-bill fund % b-2. What is the proportion Invested in each of the two risky funds? (Do not round Intermediate calculations. Round your answers to 2 decimal places.) Proportion Invested Stocks Bonds % %

a. What is the standard deviation of your portfollo? (Do not round Intermediate calculations. Round your answ 2 decimal places.) Standard deviation % B b-1. What is the proportion Invested in the T-bill fund? (Do not round Intermediate calculations. Round your ar to 2 decimal places.) Proportion invested in the T-bill fund % b-2. What is the proportion Invested in each of the two risky funds? (Do not round Intermediate calculations. Round your answers to 2 decimal places.) Proportion Invested Stocks Bonds % %

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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An insurance fund is analysing the performance of three different fund managers A, B and C. Each manager invests in one third of all asset classes to maintain a well diversified portfolio. The following information is available: A B C Market portfolio Average net return (%) 5 8 9 9 Volatility (%) 18 24 21 20 Beta 0.8 1.1 1.3 A risk free rate is established to be 2%. Calculate for each of the fund managers the expected return using CAPM, ex post Sharpe Ratio, Treynor Ratio, M2 alpha and Jensen’s alpha. Interpret your results.
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?
Activity 3 You are given the following information on three funds. The risk free rate is 6%. Calculate the differential return measure. Interpret your findings. Fund CH- G I Actual Return 15 25 30 Market Return 20 20 20 Sigma² 16 25 36
An analyst develops the following covariance matrix of returns: Hedge Fund Hedge Fund Market Index 0.0289 0.00765 Market Index 0.00765 0.0225 Calculate the correlation of returns between the hedge fund and the market index.
Consider the following table of annual rates of return, in percentage, for four common risky assets over the time period 2010 to 2019 • Berkshire Hathaway (ticker: BRK/A) • S&P 500 Index (ticker: SPX) • NASDAQ 100 Index (ticker: NDX) • Russell 2000 Index (ticker: RUT) YEAR BRK/A SPX NDX RUT 2010 21.4 15.1 19.22 26.85 2011 -4.7 2.1 2.7 -4.18 2012 16.8 16 16.82 16.35 2013 32.7 32.4 34.99 38.82 2014 27 13.7 17.94 4.89 2015 -12.5 1.4 8.43 -4.41 2016 23.4 12 5.89 21.31 2017 21.9 21.8 31.52 14.65 2018 2.8 -4.4 -1.04 -11.01 2019 11 31.5 37.96 25.52 Assuming there is no risk-free asset available, suppose you desire to invest in a portfolio of these 4 risky assets such that you minimize the portfolio variance, subject to the constraint that the portfolio weights sum to 1. Note that short positions (negative weights) are permissible. Using mean-variance portfolio optimization, determine the 4 minimum variance portfolio weightings and the minimum portfolio variance. Please enter your solutions in…
Review the table below listing performance metrics for selected assets. The metrics are defined in the same way as in CAPM. Compute the CAPM alpha for the four assets (data attached as image).
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
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
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 8%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.11. Expected Return 19% 12 Required: a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Req A1 Complete this question by entering your answers in the tabs below. Reg A2 What are the investment proportions in the minimum-variance portfolio of the two risky funds? 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 Standard Deviation 32% 15 Req A1 A pension fund manager is considering three mutual funds. The…
A fund manager can invest in any combination of the three assets with the following expected returns and standard deviations: Asset 1: r1 = 2%, σ1 = 2% Asset 2: r2 = 6%, σ2 = 6% Asset 3: r3 = 4%, σ3 = 4% All three assets returns are uncorrelated: p12 = p13 =p 23 = 0 . Find a portfolio consisting of these three assets that achieves an expected return of 4% with the lowest risk possible. Show all steps.
State the formulae you will need to compute the number of shares in a portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1 in geometric Brownian motion

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