3) (4 pts) Assume you have constructed an optimal risky portfolio that consists of the following asset classes: The risky portfolio has an expected return of 11% and a standard deviation of 16%. Weights. Large Stocks Mid-Cap Stocks Corp bonds 45% 15% 40% There are also risk-free (cash) investments available that offer a 3% return. You have $100,000 to invest and you are somewhat risk adverse and you are wanting to reduce your overall volatility (standard deviation) to 12.8%. How will your $100,000 be allocated in order to achieve a standard deviation of 12.8% on the complete portfolio and what is the expected return of your position.

3) (4 pts) Assume you have constructed an optimal risky portfolio that consists of the following asset classes: The risky portfolio has an expected return of 11% and a standard deviation of 16%. Weights. Large Stocks Mid-Cap Stocks Corp bonds 45% 15% 40% There are also risk-free (cash) investments available that offer a 3% return. You have $100,000 to invest and you are somewhat risk adverse and you are wanting to reduce your overall volatility (standard deviation) to 12.8%. How will your $100,000 be allocated in order to achieve a standard deviation of 12.8% on the complete portfolio and what is the expected return of your position.

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 are concerned about the market volatility but have found stocks that are attractively priced. In additionto cash, your portfolio will have securities both on the LONG and SHORT sides. You want to set up your LONG/SHORT portfolio with some constraints. You will set aside 12.27% of the equity as a cash reserve to cushion any adverse margin changes and to pay any associated fees. You will maximize your buying and selling power (i.e. what you can purchase and sell on margin) using the remaining equity and loans from the broker. Your account's beginning equity is $201,290 all in cash before you start trading. You will set up your 100% beta-neutral trade on full margin, and the margin requirements are 50% on both sides. Assume that the LONG side has a weighted average beta of 1.35, while the SHORT side has a weighted average beta of 1.00. What is the value of your account's total liabilities immediately after you set up the portfolio? O $250,234 $257,185 $264,136 $271,087 $278,038
Suppose that you currently have $100,000 invested in a portfolio with an expected return of 13% and a volatility of 8%. The efficient (tangent) portfolio has an expected return of 17% and a volatility of 10%. The risk-free rate of interest is 1%. Suppose that you want to keep the expected return equal to the current rate of 13%. Accordingly, the level of risk you can expect is: 1.00% 3.75% 4.75% 5.15% None of the above
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Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y 0.8 X %
Solve asap correctly.... don't copy anywhere I'll give thumbs up
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 34%. The T-bill rate is 4%. Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio's standard deviation will not exceed 10%. Required: a. What is the investment proportion, y? b. What is the expected rate of return on the complete portfolio?
You are evaluating various investment opportunities currently available and you have the fol-lowing information about five different well-diversified portfolios of risky assets. Interest raterf = 3% a) Calculate the Sharpe ratio for each portfolio. (b) Explain which of these five portfolios is most likely to be the optimal risky portfolio. (c) Suppose you are willing to invest with an expected return of 6%. What would be theinvestment proportions in the riskless asset and the optimal risky portfolio? What is thestandard deviation of the return for this investment?
1. Suppose you have n risky assets you can combine in a portfolio. Each risky asset has an expected return of 8% and a standard deviation of 30%. The risky assets are uncorrelated with each other. (a) Consider an equally weighted portfolio of 2 of these securities. What is its expected return? What will its standard deviation be? (b) Consider an equally weighted portfolio of 30 of these securities. What is its expected return? What will its standard deviation be? (c) Suppose we let the number of these securities increase without bound. That is, n→ ∞o. What happens to the standard deviation of an equally weighted portfolio of these securities as the number of assets in the portfolio becomes extremely large? What will the riskless rate be in this case, and why? -int IDE
You manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 34%. The T-bill rate is 2%. Stock A Stock B Stock C 45% 32% 23% Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 11%. Required: a. What is the proportion y? b. What are your client's investment proportions in your three stocks and the T-bill fund? c. What is the standard deviation of the rate of return on your client's portfolio? Complete this question by entering your answers in the tabs below. Required A Required B Required C What is the proportion y? Note: Round your answer to the nearest whole number. Proportion y %
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
You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Stock A Stock B Stock C Risk-free asset What is the investment in Stock C? Investment Investment $300,000 $ 240,000 Investment Beta 0.70 1.10 1.50 What is the investment in risk-free asset?

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