stock of New Image Products are quite cyclical. In a boom economy, the stock is expected to re 3 percent in comparison to 14 percent in a normal economy and a negative 18 percent in a recessionary period. The proba of a recession is 18 percent while the probability of a boom is 22 percent. What is the standard deviation of the returns on t =tock? 12.08 percent 15.83 percent 13.71 percent 11.56 percent

stock of New Image Products are quite cyclical. In a boom economy, the stock is expected to re 3 percent in comparison to 14 percent in a normal economy and a negative 18 percent in a recessionary period. The proba of a recession is 18 percent while the probability of a boom is 22 percent. What is the standard deviation of the returns on t =tock? 12.08 percent 15.83 percent 13.71 percent 11.56 percent

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 is expected to return 8% in a normal economy, 12% if the economy booms, and lose 6% if the economy moves into a recessionary period. Economists predict a 56% chance of a normal economy, a 24% chance of a boom, and a 20% chance of a recession. The expected return on the stock is %.
1. Suppose your expectations regarding the stock market are as follows: State of the Probability HPR Economy Boom 0.3 33% Normal growth 0.3 19 Recession 0.4 -15 a. What is the expected return, variance and standard deviation? 2. Assume that you manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 29%. The T-bill rate is 5%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. a. What is the expected return and standard deviation of your client's portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? Explain the sharp ratio.
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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?
Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 33% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign. - 0.5 × Ag². X Answer is complete but not entirely correct. WIndex U(A = 2) 0.0111 0.0504 0.0808 x 0.1026 0.1164 X 0.1200 X WBills 0.0 0.2 0.4 0.6 0.8 1.0 1.0 0.8 0.6 0.4 0.2 0.0
The rate of return on the common stock of Flowers by Flo is expected to be 14 percent in a boom economy, 8 percent in a normal economy, and only 2 percent in a recessionary economy. The probabilities of these economic states are 10 percent for a boom, 50 percent for a normal economy, and 40 percent for a recession. What is the standard deviation of returns for this investment? Round to the nearset hundredth percent. Answer in the percent format. Do not include % sign in your answer (l.e. If your answer is 4.33%, type 4.33 without a % sign at the end.)
A stock can either return -10% in recession or a +20% when the economy is doing well. If both possibilities are equally likely what is the expected return and standard deviation. If the T.Bill rate is 5% and investors conlude that that the stock is neither overpriced or underpriced )priced right), what must be the market risk of the stock. Explain.
Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession E (r) = Σs=1 P(s)r(s) Var (r) = ² = Probability 0.3 0.4 0.3 Σs ₁ p (s)[r (s)- E (r)]² HPR 44% 14 -16 SD (r) = 0 = Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .30 .40 .30 Rate of Return If State Occurs The standard deviation of Stock I's expected return is percent, and the Stock II beta is Stock I .10 .17 .11 The market risk premium is 8 percent, and the risk-free rate is 3 percent. Note: Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16. Stock II -.25 .12 .45 percent, and the Stock I beta is is "riskier". Therefore, Stock Il The standard deviation of Stock Il's exp
Consider the following information: State of Economy Boom Bust Probability of State of Economy .72 .28 Rate of Return if State Occurs Stock A .10 .19 Stock B Stock C .04 .30 .25 -.10 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal pla b. What is the variance of a portfolio invested 27 percent each in A and B and 46 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. a. Expected return b. Variance of portfolio % 3

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