Calculate the correlation coefficient (PAB) for the following situation: (Round intermedi 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

Calculate the correlation coefficient (PAB) for the following situation: (Round intermedi 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

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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Review the excerpted table of historic returns shown below. The returns have all been annualized after having calculated monthly returns for the previous five years. In addition, information is provided about the average, the volatility, and the sensitivity of the possible investments. Time Period # Market Return Firm W Firm X Firm Y Firm Z T-Bill 1 0.333 0.191 0.218 0.955 0.601 0.035 2 -0.144 -0.423 -0.632 -0.747 -0.472 0.039 3 0.143 0.348 0.470 0.379 0.378 0.040 4 0.316 0.871 0.868 -0.192 0.502 0.036 5 0.178 0.912 0.499 0.694 0.364 0.036 6 -0.014 0.532 0.168 -0.671 -0.064 0.038 … … … … … … … … … … … … … … 59 0.374 0.556 1.014 0.023 0.698 0.037 60 0.173 0.547 0.092 0.658 0.222 0.036 Average Return 0.082 0.113 0.067 0.167 0.121 0.029 Standard…
Year 2009 2010 2011 2012 2013 2014 2015 2016 Average % (-AVERAGE) SD (%) (-STDEVP) SD (%) (-STDEV.S) PSB 2017 2018 Covariance average product of deviations COVAR Correlation = Cov/(SDs * SDb) CORREL (=CORREL) Rates of Return Stock Fund (%) Bond Fund (%) 30.17 5.08 32.97 7.52 21.04 -8.82 -8.10 5.27 -12.89 12.20 -28.53 -7.79 22.49 6.38 12.58 12.40 14.81 17.29 15.50 0.51 Cov(rs,B) OS XOB Slope (Beta) Deviation from Average Returns Stock Fund Bond Fund Product of Deviations Squared Deviation Stock Fund Bond Fund Variance (n) Formula Calculations. Variance (n-1) Formula Calculations
Historical Realized Rates of Return You are considering an investment in either individual stocks or a portfolio of stocks. The two stocks you are researching, Stock A and Stock B, have the following historical returns: ΤΑ -17.00% 37.00 28.00 ЇВ -6.00% 16.00 -12.00 -5.00 47.00 23.00 21.00 a. Calculate the average rate of return for each stock during the 5-year period. Do not round intermediate calculations. Round your answers to two decimal places. Stock A: Stock B: % % Std. Dev. b. Suppose you had held a portfolio consisting of 50% of Stock A and 50% of Stock B. What would have been the realized rate of return on the portfolio in each year? What would have been the average return on the portfolio during this period? Do not round intermediate calculations. Round your answers to two decimal places. Negative values, if any, should be indicated by a minus sign. Year 2017 2018 2019 2020 2021 Average return c. Calculate the standard deviation of returns for each stock and for the portfolio.…
The following regression model was estimated to forecast the value of the Malaysian ringgit (MYR): MYR Fao+a+INC+a₂INF+U where MYR is the quarterly change in the ringgit, INF is the previous quarterly percentage change in the inflation differential, and INC is the predious quarterly percentage change in the income growth differential. Regression results indicato coeficients ao-0.004; a₁-0.6; and az -0.5. The most recent quarterly percentage change in the income differential is -1%, while the most recent quarterly percentage change in the inflation differential is -7%. Using this information, the forecast for the percentage change in the ringgit is % (1 decimal place please; note % is already given, so if you find an answer of .055, you will need to enter 5.5 for the correct answer because .055-5.5%)
Forecasted returns for Stock A: State of the Economy Prob. of State Return in State Prosperity 35% 5% Normal 45% 14% Recession 20% -3% What is the expected return for the stock?
State of Economy Probability ABC Company Expected Return Expected Return XYZ Company Very Poor 0.30 -9% -19% Poor 0.25 -8% -6% Good 0.15 8% 9% Very Good 0.30 34% 33% Expected Return 6.70% 4.05% A) Calculate the covariance of the portfolio. Please answer as a decimal to 4 decimal places. Answer:
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation? Stock C .45 .27 .10 .08 -.06 -.04 -.20 -.09
Use the table for the question(s) below. Consider the following realized annual returns: Index Stock A Year End Realized. Realized Return Return 23.6% 46.3% 24.7% 26.7% 30.5% 86.9% 9.0% 23.1% -2.0% 0.2% -17.3% -3.2% -24.3% -27.0% 32.2% 27.9% 4.4% -5.1% 7.4% -11.3% 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 Suppose that you want to use the 10-year historical average return on Stock A to forecast the expected future return on Stock A. The 95% confidence interval for your estimate of the expect return is closest to: O 6.5% to 26.3%. O-15.0% to 47.9%. -4.5% to 37.4%. 13.2% to 19.5%.
Expected Return Compute the expected return given these three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast Growth .2 30.9 % Slow Growth .4 6.45 % Recession .4 -2.45 % A. 9.9% B. 9.7% C. 7.8% D. 17.5%
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
Consider the following information on Stocks A, B, C and their returns (in decimals) in each state: State Prob. of State A Boom 20% 0.34 0.21 0.16 Good 45% 0.13 0.11 0.08 Poor 25% 0.01 0.03 Bust 10% -0.1 -0.06 -0.03 If your portfolio is invested 25% in A, 40% in B, and 35% in C, what is the standard deviation of the portfolio in percent? Answer to two decimals, carry intermediate calcs. to at least four decimals.

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