Using the following annual returns, calculate the estimates of the arithmetic mean returns, the variances, and the standard deviations for assets X and Y. Also calculate the estimates of the covariance and correlation between X and Y. These five years are a sample of the entire population of returns for X and Y. Year 2001 2002 2003 2004 2005 Returns X 11% 6% -8% 28% 13% Y 36% -7% 2% -12% 43% A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What was its arithmetic mean and geometric mean returns over that period? What was the standard deviation of its returns over this six-year period?

Using the following annual returns, calculate the estimates of the arithmetic mean returns, the variances, and the standard deviations for assets X and Y. Also calculate the estimates of the covariance and correlation between X and Y. These five years are a sample of the entire population of returns for X and Y. Year 2001 2002 2003 2004 2005 Returns X 11% 6% -8% 28% 13% Y 36% -7% 2% -12% 43% A stock has had returns over the past six years of 29%, 14%, 23%, -18%, 9%, and -14%. What was its arithmetic mean and geometric mean returns over that period? What was the standard deviation of its returns over this six-year period?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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A stock had returns of 17.98 percent, −5.22 percent, 20.45 percent, and 8.65 percent for the past four years. What is the variance of the returns? Multiple Choice .11626 .01352 .01622 .01802 .00623
A stock had returns of 17.47 percent, -7.03 percent, and 23.78 percent for the past three years. What is the standard deviation of the returns? Multiple Choice 26.49% 12.87% 16.28% 9.46% 2.65%
You find a certain stock that had returns of 16 percent, −23 percent, 24 percent, and 9 percent for four of the last five years. The average return of the stock over this period was 10.2 percent. a. What was the stock’s return for the missing year? (Do not round intermediate calculations and enter your answer as a percent rounded to 1 decimal place, e.g., 32.1.) b. What is the standard deviation of the stock’s returns? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
The last four years of returns for a stock are as follows: Year Return 1 - 4.3% 2 28.1% 3 11.6% a. What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? a. What is the average annual return? The average return is%. (Round to two decimal places.) 4 3.7%
A stock had returns of 17.53 percent, -4.95 percent, 20.18 percent, and 8.47 percent for the past four years. What is the variance of the returns? Multiple Choice 01715 01286 01543 00606 11340
A stock has had returns of 39.00 percent, 23.00 percent, 34.00 percent, -11.00 percent, 21.00 percent, and -53.00 percent over the last six years. What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations. Round the final answers to 2 decimal places.) Arithmetic average return Geometric average return
The returns of a stock follow the normal distribution, with average return of 13.2% and standard deviation of 23.7%. What is the probability that in any given year, the stock's return will be between -34.2% and +36.9%? Assume the following: the one standard deviation probability range is 0.68; the two standard deviation probability range is 0.95; and the three standard deviation probability range is 0.99. 0.685 O 0.955 O 0.750 0.815 O 0.950
Using the data in the following table, and the fact that the correlation of A and B is 0.48, calculate the volatility (standard deviation) of a portfolio that is 70% invested in stock A and 30% invested in stock B. (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2008 2009 2010 2011 2012 2013 Realized Returns Stock A - 10% 20% 5% - 5% 2% 9% Stock B 21% 30% 7% - 3% - 8% 25% The standard deviation of the portfolio is %. (Round to two decimal places.)
A stock has had returns of 12 percent, 30 percent, 17 percent, -18 percent, 30 percent, and -7 percent over the last six years. What are the arithmetic and geometric average returns for the stock? (Do not round Intermedlate calculations and enter your answers as a percent rounded to 2 declmal places, e.g., 32.16.) Arithmetic average return Geometric average return < Prev 14 of 30 Next EA9F9D41-D35...jpeg 8A1B4474-4751.jpeg 8A1B4474-4751..jpeg
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6. The last four years of returns for a stock are as follows: Year Return 2 28.5% 1 - 4.2% a. What is the average annual return? b. What is the variance of the stock's returns? c. What is the standard deviation of the stock's returns? a. What is the average annual return? The average return is b. What is the variance of the stock's returns? The variance of the returns is 3 12.3% The standard deviation is %. (Round to two decimal places.) 3.6% c. What is the standard deviation of the stock's returns? (Round to five decimal places.) %. (Round to two decimal places.)
Estimate a stock's beta (i.e., the sensitivity of the stock's returns to the returns on the market) based on the following information about the changes in stock returns and market returns over the course of three months: Month 1: Stock -2.5%, Market -2%. Month 2: Stock -.5%, Market -.25%. Month 3: Stock +1.5%, Market +1.25%.

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