The following table shows the nominal returns on Brazilian stocks and the rate of inflation. Year Nominal Return (%) 2015 0.2 2016 -13.0 2017 -11.0 2018 -42.1 2019 2020 66.9 27.6 Inflation (%) 6.5 6.6 7.1 11.4 7.0 3.6 a. What was the standard deviation of the market returns? Note: Use decimals, not percents, in your calculations. Do not round intermediate calculations. Enter your answer as percent rounded to 2 decimal places. b. Calculate the average real return. Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer a percent rounded to 2 decimal places. a. Standard deviation b. Average real return % %

The following table shows the nominal returns on Brazilian stocks and the rate of inflation. Year Nominal Return (%) 2015 0.2 2016 -13.0 2017 -11.0 2018 -42.1 2019 2020 66.9 27.6 Inflation (%) 6.5 6.6 7.1 11.4 7.0 3.6 a. What was the standard deviation of the market returns? Note: Use decimals, not percents, in your calculations. Do not round intermediate calculations. Enter your answer as percent rounded to 2 decimal places. b. Calculate the average real return. Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer a percent rounded to 2 decimal places. a. Standard deviation b. Average real return % %

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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Consider the following table for different assets for 1926 through 2020. Standard Deviation 19.7% Series Large-company stocks Small-company stocks Long-term corporate bonds Long-term government bonds Intermediate-term government bonds U.S. Treasury bills Inflation Average return 12.2% 16.2 6.5 6.1 5.3 3.3 2.9 Expected range of returns Expected range of returns a. What range of returns would you expect to see 68 percent of the time for large-company stocks? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. What about 95 percent of the time? 31.3 8.5 9.8 Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. % to % to 5.6 3.1 4.0 % %
Given the following information, what is the standard deviation (in percent) of the returns on this stock? Carry intermediate calculations to at least five decimals. Answer to two decimals Probability of State State of Economy Rate of Return (%) of Economy Recession 15% -12.34 Normal 60% 14.14 Boom 25% 23.77
Calculate the correlation coefficient (PAB) for the following situation: (Round intermediate calculations and the final answer to 4 decimal place, e.g. 0.2921.) State of the Probability of Expected return on Expected return on economy occurrence stock A in this state stock B in this state High growth 30% 39.5% 56.5% Moderate 25% 18.5% 26.5% Recession 45% -6.5% -16.5% Correlation coefficient
Stocks A and B have the following historical returns: Year 2016 2017 2018 2019 2020 Stock A's Returns, ra (15.40%) 29.00 14.25 (5.00) 26.00 Stock B's Returns, ra (15.80%) 21.10 37.30 (6.20) 12.45 a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places. Stock A: Stock B: b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year Round your answers to two decimal places. Negative values should be indicated by a minus sign. Portfolio CV Year 2016 2017 2018 2019 2020 What would the average return on the portfolio have been during this period? Round your answer to two decimal places. % % % c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places. Stock A Stock B Portfolio Standard Deviation d. Calculate the coefficient of variation for each…
Consider the following information on large-company stocks for a period of years. Arithmetic Mean 12.78 3.3 Large-company stocks Inflation a. What was the arithmetic average annual return on large-company stocks in nominal terms? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What was the arithmetic average annual return on large-company stocks in real terms? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Nominal return b. Real return 12.70% 10.26 %
Stocks A and B have the following historical returns:YearStock A's Returns, raStock B's Returns, ra2016(18.60%)(14.50%)201734.2520.40201814.7539.902019(1.00)(9.70)202026.7520.05a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places.Stock A:11.23%Stock B:11.23%b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year? Round your answers to two decimal places. Negative values should be indicated by a minus sign.YearPortfolio2016-16.55%201727.33201827.33%2019-5.35202023.40What would the average return on the portfolio have been during this period? Round your answer to two decimal places.11.23c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places.Stock AStock BPortfolioStandard Deviationd. Calculate the coefficient of variation for each…
The following table shows the nominal returns on Brazilian stocks and the rate of inflation. Year Nominal Return (%) Inflation (%) 2012 0.3 6.3 2013 -16.0 6.4 2014 -14.0 6.9 2015 -41.9 11.2 2016 66.7 6.8 2017 27.4 3.4 a. What was the standard deviation of the market returns? (Use decimals, not percents, in your calculations. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) b. Calculate the average real return. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places)
Stocks A and B have the following historical returns:YearStock A's Returns, raStock B's Returns, ra2016(18.60%)(14.50%)201734.2520.40201814.7539.902019(1.00)(9.70)202026.7520.05a. Calculate the average rate of return for each stock during the period 2016 through 2020. Round your answers to two decimal places.Stock A:11.23%Stock B:11.23%b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would the realized rate of return on the portfolio have been each year? Round your answers to two decimal places. Negative values should be indicated by a minus sign.YearPortfolio2016-16.55%201727.33201827.33%2019-5.35202023.40What would the average return on the portfolio have been during this period? Round your answer to two decimal places.11.23c. Calculate the standard deviation of returns for each stock and for the portfolio. Round your answers to two decimal places.Stock AStock BPortfolioStandard Deviationd. Calculate the coefficient of variation for each…
Following are four economic states, their likelihoods, and the potential returns: Probability 0.22 Economic State Fast growth Slow growth Recession Depression 0.52 0.19 0.07 Expected return Standard deviation Compute the expected return and standard deviation. Note: Do not round intermediate calculations and round your answers to 2 decimal places. Return 76% 18 -18 -52 % %
A stock had a return of 6.8 percent last year. If the inflation rate was 1.2 percent, what was the approximate real return? (Enter your answer as a percent rounded to 1 decimal place.)
Using the following information, calculate the expected return and the standard deviation of Metlock. (Round intermediate calculations to 4 decimal places, e.g. 15.2564 and the final answers to 2 decimal places, e.g. 15.25%.) State of the Metlock stock economy Probability return (%) Depression 0.10 -4.9 Recession 0.15 1.0 Normal 0.40 5.9 Boom 0.35 17.9 Expected return Standard deviation % di do %
Use the following output from a market model regression of the weekly percentage returns on the AIG commodities index on a market index to answer questions a. - f. a. What is the formula for the Commodities Index' characteristic line? b. You forecast a market return of 1.0% for next week. What is next week's expected return for the commodities index? c. What is the correlation between the return on the commodities index and the return on the market Index? d. How much of the variation in the commodities index's returns are explained by the model? e. Based on these regression results, the commodities index would be considered what kind of an investment? f. Does this regression have much explanatory power? Why or why not?

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