If the economy is normal, Charleston Freight stock is expected to return 16.5 percent. If the economy falls into a recession, the stock's return is projected at a negative 11.6 percent. The probability of a normal economy is 80 percent while the probability of a recession is 20 percent. What is the variance of the returns on this stock? O a. 0.010346 O b. 0.013420 OC. 0.013927 O d. 0.012634 .

If the economy is normal, Charleston Freight stock is expected to return 16.5 percent. If the economy falls into a recession, the stock's return is projected at a negative 11.6 percent. The probability of a normal economy is 80 percent while the probability of a recession is 20 percent. What is the variance of the returns on this stock? O a. 0.010346 O b. 0.013420 OC. 0.013927 O d. 0.012634 .

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 information: Probability of State of State of Economy Boom Bust Economy 0.55 8.45 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate Round the final answer to 2 decimal places.) Expected return Variance Rate of Return if State Occurs Stock A Stock B Stock C 0.06 0.14 0.34 0.10 0.02 -0.07 10.65% b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calc the final answer to 6 decimal places.)
Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession Probability 0.3 0.6 0.1 Mean Standard deviation HPR 24.90 % % 41% 24 E (r) E-1P(s)r (s) Var (r) = o² = s-1p(s)[r (s) - E(r)]² SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculation Round your answers to 2 decimal places.) -18 K
If the economy booms, RTF, Incorporated, stock is expected to return 10 percent. If the economy goes into a recessionary period, then RTF is expected to only return 3 percent. The probability of a boom is 65 percent while the probability of a recession is 35 percent. What is the variance of the returns on RTF, Incorporated, stock?
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 %
None
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.)
Based on the following information, what is the standard deviation of returns? Probability of State of Economy Rate of Return if State of Economy State Occurs Recession .24 -.092 Normal .45 .107 Boom .31 .217
None
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock C Boom .14 Bust .16 a. b. Stock B .58 .42 .22.40 .06-.05 What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)
a 0.07248 b 0.00386 c 0.26921 d 0.00939 e 0.05175
Consider the following information: Probability of State of State of Economy Book Bust Economy 0.55 Variance Rate of Return if State Occurs Stock A Stock B 0.06 0.14 0.10 0.02 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediat Round the final answer to 2 decimal places.) Expected return b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calc the final answer to 6 decimal places.) 10.65% Stock C 0.34 -0.07
2. The rate of returm expectation for the common stock of ABC company during the next year are: (10pts) Possible rate of return -0.10 0.00 0.10 0.25 Probability 0.25 0.15 0.35 0.25 Compute the expected retum (E/R) on this investment, the variance of this return (02), and its standard deviation (o).

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