INVESTMENTS (LOOSELEAF) W/CONNECT
INVESTMENTS (LOOSELEAF) W/CONNECT
11th Edition
ISBN: 9781260465945
Author: Bodie
Publisher: MCG
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Chapter 6, Problem 15PS
Summary Introduction

To compute:TheReward-to-volatility (Sharpe) Ratio of risky portfolio and the client’s risky portfolio.

Introduction:

Reward-to-volatility(Sharpe) Ratio of risky portfolio: An investor has to calculate the returns he would get by investing. So, the execution of the funds Sharpe or Reward- Volatility ratio is used. It reveals exact details about the fund to the investor and also suggests that higher ratio reflects higher returns for every unit of risk taken.

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What is the Sharpe ratio (S) of your risky portfolio and your client’s overall portfolio? , 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%.
You manage a risky portfolio containing 25% of Stock A, 32% of Stock B and 43% of Stock C, respectively, with expected rate of return of 18% and standard deviation of 28%. The Tbill rate is 8%. Draw the Capital Allocation Line (CAL) of your portfolio on an expected returnstandard deviation diagram. What is the slope of the CAL?  Suppose that the 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 16%. Show the position of your client on your fund’s CAL. What is the proportion y?  What are your client’s investment proportions in your three stocks and the T-bill fund?
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a standard deviation of return of 20%. The correlation coefficient between the returns of A and B is .4. The risk-free rate of return is 5%. The expected return on the optimal risky portfolio is approximately ____?____. Using the risk and return profile calculated in Q10 and Q11 (standard deviation of the optimal risky portfolio is 21.4%), what is the percentage weight that you need to invest in the optimal risky portfolio if you want your complete portfolio to achieve 12% return? ___?___
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