Chapter 3, Problem 5P

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…

When working with the CAPM, which of the following factors can be determined with the most precision?   a. The most appropriate risk-free rate, rRF.     b. The market risk premium (RPM).     c. The beta coefficient, bi, of a relatively safe stock.     d. The expected rate of return on the market, rM.     e. The beta coefficient of "the market," which is the same as the beta of an average stock.

Consider information given in the table below and answers the question asked thereafter: State Probability  return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% Calculate covariance and coefficient of correlation between the returns of thestocks A and B.v. Now suppose you have $100,000 to invest and you want to a hold a portfoliocomprising of $45,000 invested in stock A and remaining amount in stock B.Calculate risk and return of your portfolio.

Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items.  Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML?d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph   Please answer A, B, C & D

KINDLY ANSWER PART 5,6.and 7     Using the stock price data for any two companies provided below carry out the following tasks: 1.Compute, for each asset: i.Total Returns ii.Expected returns iii.standard deviation iv.Correlation Coefficient 2.Construct the variance-covariance matrix 3.Construct equally weighted portfolio and calculate Expected Return, Standard Deviation and Sharpe ratio. 4.Reconstruct equally weighted portfolio and calculate Expected Return, Standard Deviation and Sharpe ratio. 5.Use Solver to determine optimal risky portfolio. 6.Create hypothetical portfolios (commencing from Weight A=0 and weight B=100) 7.Calculate Expected return and Standard Deviation for all the above combinations 8.Graph the efficient frontier 9.Graph the optimal portfolio 10.Assuming that the investors prefers lower level of risk than what a portfolio of risky assets offer, introduce a risk free asset in the portfolio with a return of 3% 11.Using hypothetical weights (A= Portfolio of Risky…

From the information attached below, calculate: a. the average stock return from 20x1- 20x3. b. The standard deviation over the same period.

The following table represents the rate of returns of two stocks in different economic conditions along with their probabilities (the data are also uploaded on moodle) RATES OF RETURN ON STOCKS EXPECTED ECONOMIC PROBABILITY STOCK A STOCK B CONDITIONS RECESSION 0.55 -0.04 -0.02 STABLE 0.35 0.25 0.30 EXPANDING 0.10 0.15 0.20 Answer the following by using mathematical calculations: a) Calculate the expected rate of return for each stock respectively. Explain what the expected value implies. b) Calculate the standard deviation for each stock respectively. Explain what the standard deviation implies. c) If you were an investor in which stock you were going to invest? Justify your answer. d) Calculate the covariance between Stock A and stock B. Discuss. e) Calculate the expected return and the standard deviation of the portfolio consisting 40% in stock A and 60% in stock B. f) Discuss the risk and return associated with investing i All of your funds in stock A ii. All of your funds in stock…

(Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Probability 0.15 0.35 0.35 0.15 (Click on the icon in order to copy its contents into a spreadsheet.) Common Stock B Return 13% 14% 18% Return - 6% 7% 15% 21% a. Given the information in the table, the expected rate of return for stock A is 14.6 %. (Round to two decimal places.) The standard deviation of stock A is %. (Round to two decimal places.)

Plz show the formula step by step. There is the following table shows the probabilities of occurrence of 3 states and the expected rate of returns on stocks A and B State  Probability  Expected rate ofReturns on Stock A Expected rate ofReturns on Stock B  Boom 0.5 0.25 0.20 Neutral 0.3 0.15 0.10 Recession 0.2 0.05 0.02 (A) Calculate the expected rates of returns and standard deviations of stocks A and B.   The colleague has given you his forecasts of stocks C and D as follows: State Probability Expected rate ofReturns on Stock C Expected rate ofReturns on Stock D Boom 0.7 0.40 -0.10 Bust 0.3 -0.05 0.30 She would like to invest 80% of his money in stock C and 20% of her money in stock D to construct a portfolio.(B) Calculate the portfolio's expected rate of returns and its standard deviation