EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 26, Problem 15PS
Summary Introduction

(a)

To calculate:

The residual standard deviation of the portfolio where holding is in equally weighted portfolio of 100 stocks with the same alpha.

Introduction:

Standard deviation: It is historical volatility. It's applied to the annual rate of return to quantify the investment volatility.

Variance: It is the squared of standard deviation. It cannot interpreted easily.

Summary Introduction

(b)

To calculate:

The probability of loss of a return on a market-neutral strategy involving equally weighted on the market-hedged position in the 100 stocks over the next month.

Introduction:

Standard deviation: It is historical volatility. It's applied to the annual rate of return to quantify the investment volatility.

Variance: It is the squared of standard deviation. It cannot interpreted easily.

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Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B). Thank you for your help.
Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A(A) to beta of B(B).
Questions C and D is required.    c) Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B (B).  d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whether asset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i ( , where are standard deviations of asset i and market portfolio, is the correlation between asset i and the market portfolio)
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