EBK CORPORATE FINANCE
EBK CORPORATE FINANCE
4th Edition
ISBN: 8220103164535
Author: DeMarzo
Publisher: PEARSON
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Chapter 11, Problem 1P

You are considering how to invest part of your retirement savings. You have decided to put $200,000 into three stocks: 50% of the money in Goldfinger (currently $25/share). 25% of the money in Moosehead (currently $80/share). and the remainder in Venture Associates (currently $2/share). If Goldfinger stock goes up to $30/share. Moosehead stock drops to $60/share, and Venture Associates stock rises to $3 per share.

  1. a. What is the new value of the portfolio?
  2. b. What return did the portfolio earn?
  3. c. If you don’t buy or sell shares after the price change, what are your new portfolio weights?

a)

Expert Solution
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Summary Introduction

To determine: The new value of the portfolio.

Introduction:

Portfolio refers to a set of financial investments owned by an investor. The portfolio of investments includes debentures, stocks, bonds, and mutual funds.

Answer to Problem 1P

The new value of the portfolio is $232,500.

Explanation of Solution

Given information:

Person X has decided to investment $200,000 in three stocks. He decided to put 50 percent of $200,000 in GF Company, 25 percent of $200,000 in MH Company, and the remaining 25 percent of $200,000 in VT Associates.

The current share price of GF Company is $25 per share, the current share price of MH Company is $80 per share, and the current share price of VT Associates is $2 per share. Assume that GF Company’s stock rises by $30 per share, VT Associates’ stock even goes up to $3 per share, and MH Company’s stock falls by $60 per share.

The formula to calculate the number of shares in a particular stock:

Number of shares in a particular stock}=(Total value of investment×Percentage of shares invested)Current share price of a particular stock

The formula to calculate the new value of the portfolio:

New value of the portfolio=(Stock market rise or fall in a particular stock×Number of shares of a particular stock)

Calculate the number of shares of GF Company:

Number of shares of GF Company}=(Total value of investment× Percentage of shares invested in GF Company)Current share price of GF Company=($200,000×0.50)$25=$100,000$25=4,000

Hence, the number of shares of GF Company is 4,000.

Calculate the number of shares of MH Company:

Number of shares of MH Company}=(Total value of investment× Percentage of shares invested in MH Company)Current share price of MH Company=($200,000×0.25)$80=$50,000$80=625

Hence, the number of shares of MH Company is 625.

Calculate the number of shares of VT Associates:

Number of shares of VT Associates}=(Total value of investment× Percentage of shares invested in VT Associates)Current share price of VT Associates=($200,000×0.25)$2=$50,000$2=25,000

Hence, the number of shares of VT Associates is 25,000.

Compute the new value of the portfolio:

New value of the portfolio=[(Amount of increase in GF Company's stock×Number of shares of GF Company)+(Amount of decrease in MH Company's stock×Number of shares of MH Company)+(Amount of increase in VT Associates' stock×Number of shares of VT Associate)]=($30×4,000)+($60×625)+($3×25,000)=$120,000+$37,500+$75,000=$232,500

Hence, the new value of the portfolio is $232,500.

b)

Expert Solution
Check Mark
Summary Introduction

To determine: The return from the portfolio.

Introduction:

Return is a loss or gain incurred on the investment made by the investors. It is expressed in terms of percentage.

Answer to Problem 1P

The return from the portfolio is 16.25%.

Explanation of Solution

Given information:

Person X has decided to investment $200,000 in three stocks.

The formula to compute the return from the portfolio:

Return=New value of portfolioTotal value of investment1

Compute the return from the portfolio:

Return=New value of portfolioTotal value of investment1=$232,500$200,0001=1.16251=0.1625 or 16.25%

Hence, the return from the portfolio is 16.25%.

c)

Expert Solution
Check Mark
Summary Introduction

To determine: The new portfolio weights.

Introduction:

Portfolio weight refers to the share of each financial investment in a portfolio. It refers to a portion of the total value of portfolio that represents a particular asset in the portfolio.

Answer to Problem 1P

The new portfolio weight of GF Company is 51.61%.

The new portfolio weight of MH Company is 16.13%.

The new portfolio weight of VT Associates is 32.26%.

Explanation of Solution

Given information:

Person X has decided to investment $200,000 in three stocks. He decided to put 50 percent of $200,000 in GF Company, 25 percent of $200,000 in MH Company, and the remaining 25 percent of $200,000 in VT Associates.

The current share price of GF Company is $25 per share, the current share price of MH Company is $80 per share, and the current share price of VT Associates is $2 per share. Assume that GF Company’s stock rises by $30 per share, VT Associates’ stock even goes up to $3 per share, and MH Company’s stock falls by $60 per share.

The formula to compute the portfolio weights:

New portfolio weights=(Number of shares in a particular stock×Price change)New value of the portfolio

Compute the portfolio weight of GF Company:

New portfolio weight=(Number of shares of GF Company×Price change)New value of the portfolio=4,000×$30$232,500=120,000$232,500=0.5161 or 51.61%

Hence, the new portfolio weight of GF Company is 51.61%.

Compute the portfolio weight of MH Company:

New portfolio weight=(Number of shares of MH Company×Price change)New value of the portfolio=625×$60$232,500=37,500$232,500=0.1613 or 16.13%

Hence, the new portfolio weight of MH Company is 16.13%.

Compute the portfolio weight of VT Associates:

New portfolio weight=(Number of shares of  VT Associates×Price change)New value of the portfolio=25,000×$3$232,500=75,000$232,500=0.3226 or 32.26%

Hence, the new portfolio weight of VT Associates is 32.26%.

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Chapter 11 Solutions

EBK CORPORATE FINANCE

Ch. 11.5 - If investors are holding optimal portfolios, how...Ch. 11.6 - When will a new investment improve the Sharpe...Ch. 11.6 - Prob. 2CCCh. 11.7 - Prob. 1CCCh. 11.7 - Prob. 2CCCh. 11.8 - Prob. 1CCCh. 11.8 - According to the CAPM, how can we determine a...Ch. 11 - You are considering how to invest part of your...Ch. 11 - You own three stocks: 600 shares of Apple...Ch. 11 - Consider a world that only consists of the three...Ch. 11 - There are two ways to calculate the expected...Ch. 11 - Using the data in the following table, estimate...Ch. 11 - Use the data in Problem 5, consider a portfolio...Ch. 11 - Using your estimates from Problem 5, calculate the...Ch. 11 - Prob. 8PCh. 11 - Suppose two stocks have a correlation of 1. If the...Ch. 11 - Arbor Systems and Gencore stocks both have a...Ch. 11 - Prob. 11PCh. 11 - Suppose Avon and Nova stocks have volatilities of...Ch. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 16PCh. 11 - What is the volatility (standard deviation) of an...Ch. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Suppose Ford Motor stock has an expected return of...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - Prob. 26PCh. 11 - A hedge fund has created a portfolio using just...Ch. 11 - Consider the portfolio in Problem 27. Suppose the...Ch. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - You have 10,000 to invest. You decide to invest...Ch. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Assume all investors want to hold a portfolio...Ch. 11 - In addition to risk-free securities, you are...Ch. 11 - You have noticed a market investment opportunity...Ch. 11 - Prob. 40PCh. 11 - When the CAPM correctly prices risk, the market...Ch. 11 - Prob. 45PCh. 11 - Your investment portfolio consists of 15,000...Ch. 11 - Suppose you group all the stocks in the world into...Ch. 11 - Prob. 48PCh. 11 - Consider a portfolio consisting of the following...Ch. 11 - Prob. 50PCh. 11 - What is the risk premium of a zero-beta stock?...

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