An investor holds a diversified portfolio with a beta equal to 1.5, consisting of a P100 investment in each of 10 different common stocks. He sold one of your stocks that has a beta equal to 0.5 for P100. The whole proceeds were used to purchase another stock that has a beta equal to 1. Determine the beta of the new portfolio?

An investor holds a diversified portfolio with a beta equal to 1.5, consisting of a P100 investment in each of 10 different common stocks. He sold one of your stocks that has a beta equal to 0.5 for P100. The whole proceeds were used to purchase another stock that has a beta equal to 1. Determine the beta of the new 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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Data: S0 = 102; X = 115; 1 + r = 1.1. The two possibilities for ST are 146 and 84. Required: The range of S is 62 while that of P is 31 across the two states. What is the hedge ratio of the put? Form a portfolio of one share of stock and two puts. What is the (nonrandom) payoff to this portfolio? What is the present value of the portfolio? Given that the stock currently is selling at 102, calculate the put value.
Suppose you hold a diversified portfolio consisting of a $7,500 investment in each of 20 different common stocks. The portfolio beta is equal to 1.12. Now, suppose you have decide to sell one of the stocks in your portfolio with a beta equal to 1.0 for 7,500 and to use these proceeds to buy another stocks for your portfolio. Assume the new stocks beta to 1.75. Calculate your portfolios new beta.
You hold 5% of your equity in stock A, 20% of your equity in stock B, and 75% of your equity in Stock C. You rebalance and tilt your portfolio towards stock A with a tilt size of 0.04. (A) What are the weights of the tilted portfolio? (B) Delever the tilted portfolio to create a position with zero risk-free weight that has the same Sharpe ratio as the tilted portfolio. Specify the portfolio weights of the delevered portfolio.
An investor has a 2-stock portfolio with $25,000 invested in Stock X and $50,000 invested in Stock Y. X's beta is 1.50 and Y s beta is 0.60. What is the beta of the investor's portfolio?
Give typing answer with explanation and conclusion
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?
An investor has $1000 initial wealth for investment and he borrows another $500 at the risk free rate. He then invest the entire total amount of $1500 in the market portfolio. What is his portfolio beta? +2.0 1.0 + 1.50
WINNER plans to invest in one of two stocks, each of which requires the same initial investment. The estimated return (cash flow) of these investments for the next year depends on economic conditions and their respective possibilities. State of Economy Probability Rate of Return Stock A Stock B Boom 0.15 0.30 0.25 Normal 0.55 0.12 0.08 Recession 0.30 0.01 -0.05 i) Compute expected rate of return for each asset. ii) Compute variance and standard deviation of rate of return for each asset. iii) Which asset should they purchase?
You want your portfolio beta to be 1.16. Currently, your portfolio consists of $3,000 invested in stock A with a beta of 1.64 and $2,000 in stock B with a beta of 0.75. You have another $5,000 to invest and want to divide it between an asset with a beta of 1.48 and a risk-free asset. How much should you invest in the risk-free asset? Multiple Choice O O O O 1575 1500 225 1230 510
son.1
You have a 2-stock portfolio with a total value of $100,000. $60,000 is invested in Stock A with a beta of 1.50 and the remainder is invested in Stock B with a beta of 0.75. What is your portfolio's beta? Do not round your intermediate calculations. Round your final answer to two decimal places.
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

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