stions Assume that you manage an $11.00 million mutual fund that has a beta of 1.25 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $14.00 million, which you invest in stocks with an average beta of 0.70. What is the required rate of return on the new portfolio? (Hint: You must inst find the market risk premium, then find the new portfolio beta) Do not round your intermediate calculations.

stions Assume that you manage an $11.00 million mutual fund that has a beta of 1.25 and a 9.50% required return. The risk-free rate is 2.20%. You now receive another $14.00 million, which you invest in stocks with an average beta of 0.70. What is the required rate of return on the new portfolio? (Hint: You must inst find the market risk premium, then find the new portfolio beta) Do not round your intermediate calculations.

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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You plan to invest in the Kish Hedge Fund, which has totalcapital of $500 million invested in five stocks given below: Kish’s beta coefficient can be found as a weighted average of its stocks’ betas. The risk-freerate is 6%, and you believe the following probability distribution for future market returnsis realistic:Probability Market Return0.1 228%0.2 00.4 120.2 300.1 50a. What is the equation for the security market line (SML)? (Hint: First, determine theexpected market return.)b. Calculate Kish’s required rate of return.c. Suppose Rick Kish, the president, receives a proposal from a company seeking newcapital. The amount needed to take a position in the stock is $50 million, it has anexpected return of 15%, and its estimated beta is 1.5. Should Kish invest in the newcompany? At what expected rate of return should Kish be indifferent to purchasingthe stock?
Thank you
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 just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock A B C Investment $196,000 294,000 490,000 Beta Expected rate of return 1.50 0.55 1.35 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18 percent and that the risk-free rate is 9 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%) Beta of the portfolio %
You are working on creating a portfolio that mimics a fully diversified market index. Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000 of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add an additional risky stock C and a risk-free bond to your portfolio. Assume that betas for stock A, B, and C are 0.80, 1.09, and 1.23, respectively. How much would you invest in stock C and risk-free bond?
By looking at the sensivities of your portfolio to ds = -$2 and So = -1%, you decide to hedge delta, gamma and Vega risk of your portfolio with the underlying stock and two different options on the same asset with below data. Calculate the units of stock you need to trade to hedge away all delta, gamma and Vega risks of your portfolio.(Note that here you have to calculate the units of stock, Option A and Option B, but you will only submit the units of stock.) Variable Option A Option B Delta (A) -0.5 0.2 Gamma (T) 0.2 0.1 Vega (v) 8
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %
An investor aims to build a portfolio with annual return equal to 8.88%. In the market only two stocks (A and B) are available, with annual historical returns equal to 9.6% and 7.8% respectively. Assume future returns have the same distribution of past returns. What is the percentage of funds that the investor must allocate to the stock A and B?
An investor is forming a portfolio by investing $50,000 in stock A which has a beta of 2.40, and $50,000 in stock B which has a beta of 0.60. The return on the market is equal to 8% and treasure bonds have a yield of 3% (rRF). What’s the portfolio beta? 0.60 1.30 1.50 1.80 Using the information in Question 41, calculate the required rate of return on the investor’s portfolio 11.0% 15.0% 12.0% 10.5% A retail store is offering a diamond ring for sale for 36 months at $128 per month. The retail price of the ring is $4,000. What is the interest rate on this offer? 9.43% 11.20% 11.98% 12.11%
Assume you wish to hold a portfolio consisting of Loblaw stock and a riskless asset. Given the following information, calculate portfolio expected returns and portfolio betas, letting the proportion of funds invested in Loblaw range from 0 to 125% Loblaw has a beta (\ beta) of 1.2 and an expected return of 18% Risk-free rate is 7%. Loblaw weights: 0%, 25%, 50%, 75%, 100%
Suppose you are a seller . At time t = 0 you get £C from the buyer where C is the risk-neutral price of the option. You then have to design a hedging strategy which would allow you to meet your financial obligation in one year’s time. Your portfolio should consist of two investments: you are allowed to buy the underlying shares and to deposit money in the bank. The price of the share evolves according to a geometric Brownian motion. State the formulae you will need to compute the number of shares in the portfolio and the capital deposited in the bank at any time t, 0 ≤ t ≤ 1.
You want to create a portfolio equally as risky as the market, and you have $250,000 to invest. Given this information, fill in the three missing pieces of information in the following table. Show your calculations: Investment Betal 0.90 Asset Stock A $50,000 Stock B $70,000 Stock C Risk-Free Asset 1.25 1.60

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