The continuously compounded annual return on a stock is normally distributed with a mean of 23% and standard deviation of 29%. With 95.45% confidence, we should expect its actual return in any particular year to be between which pair of values? Hint. Refer to Figure 5.3. O-35.0% and 81.0% O-25.0% and 81.0% O-23.7% and 69.7% O-12.0% and 59.5%

The continuously compounded annual return on a stock is normally distributed with a mean of 23% and standard deviation of 29%. With 95.45% confidence, we should expect its actual return in any particular year to be between which pair of values? Hint. Refer to Figure 5.3. O-35.0% and 81.0% O-25.0% and 81.0% O-23.7% and 69.7% O-12.0% and 59.5%

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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Suppose that the annual return for particular stock follows the same distribution every year, and that the return for any given year is independent of the returns for any prior years. Based on an analysis of the stock's annual returns over an 12 year period, it is determined that the 95% confidence interval for the stock's expected annual return is given by (-0.1724, 0.2861). Find the volatility of the stock. Use the approximation formula from Berk and DeMarzo. 38.52% 40.90% 42.09% 37.32% 39.71%
Stocks A and B have the following probability distributions of expected future returns: profitability A B 0.1 11% 27% 0.2 3 0 0.4 12 20 0.2 24 28 0.1 36 43 Calculate the expected rate of return, , for Stock B ( = 12.70%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.54%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be…
The continuously compounded annual return on a stock is normally distributed with a mean of 28% and standard deviation of 30%. With 95.44% confidence, we should expect its actual return in any particular year to be between which pair of values? Hint: Refer to Figure. multiple choice A. −32.0% and 88.0% B. −20.0% and 88.0% C. −62.0% and 118.0% D. −2.0% and 58.0%
EXPECTED RETURNS Stocks X and Y have the following probability distributions ofexpected future returns:Probability X Y0.1 (10%) (35%)0.2 2 00.4 12 200.2 20 2S0.1 38 45a. Calculate the expected rate of return, rˆY, for Stock Y ( rˆX= 12%).b. Calculate the standard deviation of expected returns, σX, for Stock X (σY =20.35%). Now calculate the coefficient of variation for Stock Y. Is it possible thatmost investors will regard Stock Y as being less risky than Stock X? Explain.
The figure in the popup window, a. The expected return. b. The standard deviation of the return. Note: Make sure to round all intermediate calculations to at least five decimal places. Graph/chart Probability (%) 35- 30- 25- 20 15- 10- 5 9 -25% shows the one-year return distribution for RCS stock. Calculate -10% 0% Return 10% 25% - Q Q 2 X
For the coming year you have determined that the following possibilities are most likely for stock A: Economic State Probability Return Good 0.60 22 Bad 0.40 -10 What is the standard deviation for stock A? answer format: show your answer in percent (without the % sign) and to 1 decimal place. For example, 12.56 should be shown as 12.6
The figure in the popup window, a. The expected return. b. The standard deviation of the return. Note: Make sure to round all intermediate calculations to at least five decimal places. Graph/chart Probability (%) 35- 30- 25- 20- 15 10- 5 shows the one-year return distribution for RCS stock. Calculate: -20% -10% 0% Return 10% 20% - Q Q G X
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
Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometric
Consider the rate of return of stocks ABC and XYZ. Year 12345n ភ្នំឧ១៣៧. ABC ABC XYZ 22% 10 ABC 19 3 1 a. Calculate the arithmetic average return on these stocks over the sample period. (Round your answers to 2 decimal places.) Arithmetic Average XYZ 36% 10 17 0 -8 ABC XYZ b. Which stock has greater dispersion around the mean return? % c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Geometric Average %
A stock has an average annual historical return of 14.69 percent and a standard deviation of 20.71 percent. What is the negative return you expect to see 2.5 percent of the time? Answer should be formatted as a percent with 2 decimal places (e.g. 99.99).
If a stock has an expected rate of return of 12%. And the standard deviation is 11% then it's annual return will be never negative. True or False? °True °false

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