Question

In: Finance

Elle holds a $5,000 portfolio that consists of four stocks. Her investment in each stock, as...

Elle holds a $5,000 portfolio that consists of four stocks. Her investment in each stock, as well as each stock’s beta, is listed in the following table:

Stock

Investment

Beta

Standard Deviation

Omni Consumer Products Co. (OCP) $1,750 0.90 18.00%
Zaxatti Enterprises (ZE) $1,000 1.50 11.00%
Western Gas & Electric Co. (WGC) $750 1.10 18.00%
Mainway Toys Co. (MTC) $1,500 0.60 22.50%

Suppose all stocks in Elle’s portfolio were equally weighted. Which of these stocks would contribute the least market risk to the portfolio?

Mainway Toys Co.

Zaxatti Enterprises

Western Gas & Electric Co.

Omni Consumer Products Co.

Suppose all stocks in the portfolio were equally weighted. Which of these stocks would have the least amount of stand-alone risk?

Western Gas & Electric Co.

Omni Consumer Products Co.

Zaxatti Enterprises

Mainway Toys Co.

If the risk-free rate is 7% and the market risk premium is 8.5%, what is Elle’s portfolio’s beta and required return? Fill in the following table:

Beta

Required Return

Elle’s portfolio

Solutions

Expert Solution

Stock Investment ($) Weight working Weight (W) Beta Standard deviation W*Beta
OCP 1750 1750/5000 0.35 0.9 18 0.315
ZE 1000 1000/5000 0.20 1.5 11 0.3
WGC 750 750/5000 0.15 1.1 18 0.165
MTC 1500 1500/5000 0.30 0.6 22.5 0.18
Total 5000 0.96
Suppose all stocks in Elle’s portfolio were equally weighted, Stock MTC would contribute the least market risk to the portfolio as its beta is lowest (beta is the measure of volatility of the stock in relation to market)
Suppose all stocks in the portfolio were equally weighted, Stock ZE would have the least amount of stand-alone risk because standard deviation measures firm specific risk and standard deviation of Stock ZE is the lowest.
Elle's portfolio beta= Weighted average=0.96 (See table)
Required return= Rf+Market risk premium*Portfolio beta
7+8.5*0.96
15.16%

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