Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Question
Chapter 11, Problem 16P
a)
Summary Introduction
To determine: The volatility of an equally weighted portfolio with one stock.
Introduction:
The portfolio refers to a set of financial investments owned by the investor. The portfolio of investments includes the debentures, stocks, bonds, and mutual funds.
b)
Summary Introduction
To determine: The volatility of an equally weighted portfolio with 30 stocks.
c)
Summary Introduction
To determine: The volatility of an equally weighted portfolio with 1,000 stocks.
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Suppose that the average stock has a volatility of 53%, and that the correlation between pairs of stocks is 18%. Estimate the volatility of an equally weighted portfolio
with:
a. 1 stock
b. 30 stocks
c. 1,000 stocks
Suppose 0.3 is the correlation of returns between any two stocks in an equal-weighted portfolio containing N stocks. Suppose the volatility of any stock is 25%. Calculate the volatility of a portfolio with
· N = 24 stocks
· N = 100 stocks
· N = infinite stocks
Using the data in the following table, calculate the volatility (standard deviation) of a portfolio that is
75% invested in stock A and 25% in stock B.
Chapter 11 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
Ch. 11.1 - What is a portfolio weight?Ch. 11.1 - How do we calculate the return on a portfolio?Ch. 11.2 - What does the correlation measure?Ch. 11.2 - How does the correlation between the stocks in a...Ch. 11.3 - Prob. 1CCCh. 11.3 - Prob. 2CCCh. 11.4 - Prob. 1CCCh. 11.4 - Prob. 2CCCh. 11.4 - Prob. 3CCCh. 11.5 - What do we know about the Sharpe ratio of the...
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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- Consider an equally weighed portfolio of stocks in which each stock has a volatility of 40%, and the correlation between each pair of stocks is 27%. Required: 1. What is the volatility of the portfolio as the number of stocks becomes arbitrarily large? 2.What is the average correlation of each stock with this large portfolio?arrow_forwardSuppose that the average stock has a volatility of 49%, and that the correlation between pairs of stocks is 19%. Estimate the volatility of an equally weighted portfolio with: a. 1 stock b. 30 stocks c. 1,000 stocks a. The volatility of an equally weighted portfolio with 1 stock is 49 %. (Round to two decimal places.) b. The volatility of an equally weighted portfolio with 30 stocks is%. (Round to two decimal places.)arrow_forwardAssume that the CAPM holds. One stock has an expected return of 8% and a beta of 0.3. Another stock has an expected return of 14% and a beta of 1.5. What is the return-to-risk ratio that CAPM assumes equal across all individual stocks?arrow_forward
- Suppose that the capital asset pricing model (CAPM) applies. The risk premium of a stock is 3 percent and the risk premium of the market portfolio is 2. The standard deviation of the market portfo- lio is 6. Compute the covariance between the stock and the market portfolio.arrow_forwardConsider an equally weighted portfolio that contains 80 stocks. If the average volatility of these stocks is 35% and the average correlation between the stocks is .4, then the volatility of this equally weighted portfolio is closest to: 0.2 0.14 0.41 0.22arrow_forwarda. What is the expected return for each stock b. What is the standard deviation for each stock, the expected return of the portfolio of the two stocks using the various percentages allocated to each (50%-50%, 75%-25%, 25%-75%)arrow_forward
- Consider a stock portfolio consisting of two units of S' and one unit of S2. Calculate the probability of delta losses over one day, if the daily log-returns (X1, X2) of the stocks are independent with X1 are S = 100, S = 50. N(0.5, 1.1), X2 N(-0.2,0.5) and the current stocks valuearrow_forwardSuppose you have invested $35,000 in stocks with a Beta of 0.9 and another $17,000 invested in stocks with a volatility (Beta) of 3.2%. Determine the volatility (Beta) percentage of the portfolio.arrow_forwardAssume that you formed a portfolio of three stocks A, B, C. The return for stock A is 10%, the return for stock B is 6% and the return for stock C is 8%. If the weight invested is stock A is 0.3 and the weight invested in stock B is 0.4, find the portfolio return.arrow_forward
- A stock’s returns have the following distribution:Assume the risk-free rate is 2%. Calculate the stock’s expected return, standard deviation,coefficient of variation, and Sharpe ratio.arrow_forwardYou are given the following probability distribution of returns for a stock. Use the data to calculate the expected return, standard deviation of returns, and coefficient of variation of returns for the stock. Report the CV to 4 decimal places (13.36% = 0.1336). Return Probability 8.0% 0.20 10.0% 0.10 12.0% 0.40 15.0% 0.20 16.0% 0.10arrow_forwardSuppose you have the following two stocks. Stock E(R) A 23 B 34 Standard Deviation 15 30 Suppose also that T-Bills yield 8%. a) Draw the capital allocation lines of the two stocks. Label the lines and the intercepts.arrow_forward
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