Calculate the observed risk premium in each year for the large-company stocks versus the T-bills. b-1. What was the arithmetic average risk premium over this period? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-2. What was the standard deviation of the risk premium over this period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Calculate the observed risk premium in each year for the large-company stocks versus the T-bills. b-1. What was the arithmetic average risk premium over this period? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-2. What was the standard deviation of the risk premium over this period? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

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 the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than –4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations…
Consider a three-factor APT model. The factors and associated risk premiums are: Factor Risk Premium (%) Change in gross national product (GNP) + 6.5 Change in energy prices 0.5 Change in long-term interest rates +2.9 Calculate expected rates of return on the following stocks. The risk - free interest rate is 6.8%. A stock whose return is uncorrelated with all three factors
Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Recession 21 .06 21 Normal 58 109 08 Boom 21 14 25 a. Calculate the expected return for Stocks A and B. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round Intermedlate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation 196 96 96 %
Consider the following information: State of Economy Recession. Normal Boom Probability of State of Economy .17 .58 .25 Rate of Return if State Occurs Stock A Stock B .08 -.12 11 .17 .34 a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation a. Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) .16 Answer is complete but not entirely correct. 9.86 % 21.46 % 7.70 % 9.50 %
Calculating Real Returns and Risk Premiums You’ve observed the following returns on Bennington Corporation’s stock over the past five years: 13 percent, −8 percent, 16 percent, 16 percent, and 10 percent. Suppose the average inflation rate over this period was 1.5 percent and the average T-bill rate over the period was 5 percent. a. What was the average real return on the company's stock? (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 average nominal risk premium on the company's stock?
es Suppose the returns on an asset are normally distributed. The historical average annual return for the asset was 5.7 percent and the standard deviation was 18.3 percent. a. What is the probability that your return on this asset will be less than -4.1 percent in a given year? Use the NORMDIST function in Excel® to answer this question. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What range of returns would you expect to see 95 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) c. What range of returns would you expect to see 99 percent of the time? (Enter your answers for the range from lowest to highest. A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter…
Assume these are the stock market and Treasury bill returns for a 5-year period: Required: a. What was the risk premium on common stock in each year? b. What was the average risk premium? c. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Complete this question by entering your answers in the tabs below. What was the standard deviation of the risk premium? (Ignore that the estimation is from a sample of data.) Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.26 $ 140 0.25 110 0.49 80 Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) — E(r)]² to compute the mean and standard deviation of the HPR on - S S Mean Standard deviation HPR (including dividends) 55.0% 21.0 -16.0 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. % %
A stock has a required return of 16%, the risk-free rate is 5.5%, and the market risk premium is 4%. a) What is the stock's beta? b) If the market risk premium increased to 8%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places.
A challenge we run into when forecasting future stock returns is that stock returns compound. So, when using historical averages to forecast the future, we need to average together the arithmetic and geometric average returns using Blume's Formula: R(T) = T GeoAvg + NT Arith Avg N-1 In this formula, N is the number of historical annual returns you are using to calculate your averages and T is the number of future annual returns you are forecasting. Suppose you gather the following prices for a stock in order to calculate the last 10 (N = 10) annual returns. The stock does not pay dividends. Time 0 1 Time 0 calculate the last 10 (N=10) annual returns. The stock does not pay dividends. 1 2 3 4 5 10 6 . 7 8 9 10 Price $23.16 $32.81 Price $23.16 $32.81 $33.63 $36.83 $41.95 $41.04 $33.83 $37.45 $30.56 $29.90 $47.93 Using Blume's formula, what is the expected return per year for the next 4 years (T = 4)? Enter your answer as a percentage, rounded to the nearest 0.0001. For example, for…
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %
Consider the following information about Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .20 .60 .20 Rate of Return if State Occurs Stock I .04 .26 .10 Stock II -.35 15 .55 The market risk premium is 5 percent, and the risk-free rate is 4 percent. (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.)

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