Consider the following information on Stocks A, B, C and their returns (in decimals) in each state: State Prob. of State A Boom 20% 0.34 0.21 0.16 Good 45% 0.13 0.11 0.08 Poor 25% 0.01 0.03 Bust 10% -0.1 -0.06 -0.03 If your portfolio is invested 25% in A, 40% in B, and 35% in C, what is the standard deviation of the portfolio in percent? Answer to two decimals, carry intermediate calcs. to at least four decimals.
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- You are given the following information regarding prices for a sample of stocks. PRICE PER SHARE Stock Number of Shares Jan December Honda 20 000 170 200 Nissan 40 000 130 155 Toyota 90 000 138 145 i.) Construct a price-weighted index for these three stocks for January and December ii.) Construct a value weighted index for the securities above for January and December iii) Construct an equal-weighted index by assuming $1,000 is invested in each stock. What is the percentage change in wealth for this portfolio?You are given the following information regarding prices for stocks of the followingfirms: PRICE Stock Number of Shares T T+ 1 ScotBank Ltd. 1,000,000 60 80 Jetvan Ltd 10,000,000 20 35 PriceLife Ltd. 30,000,000 18 25 i. Construct a price-weighted index for these three stocks and compute the percentagechange in the series for the period from T to T +1. ii. Construct a market-value-weighted index for these three stocks and compute thepercentage change in the series for the period from T to T +1. iii. Based on your answer above, which of these indexes BEST illustrate the movementon the stock market.1.You are given the following information regarding prices for a sample of stocks. PRICE STOCK NUMBER OF SHARES T T +1 A 1,000,000 60 80 B 10,000,000 20 35 C 30,000,000 18 25 a.Construct a price-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. b.Construct a value-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1 c.Briefly discuss the difference in the results for the two indexes.
- Suppose you manage an equity fund with the following securities. Use the following data to calculate the information ratio of each stock. Input Data Vogt Industries Isher Corporation Hedrock, Incorporated Alpha 0.012 0.006 0.016 Beta 0.277 1.015 1.630 Standard Deviation 0.156 0.168 0.181 Residual Standard Deviation 0.117 0.048 0.113 Required: Using the information in the table above, please calculate the information ratio for each stock. (Use cells A5 to D8 from the given information to complete this question.) Vogt Industries Isher Corporation Hedrock, Incorporated Information RatioYou are given the following information regarding four stocks in a portfolio: Company # of Shares Price ($) 2020 Price ($) 2021 ELITE 40,000 3.11 2.99 FTNA 5,000 30.37 34.10 GWEST 55,000 2.05 1.80 TTECH 20,000 5.55 4.60 Assuming 2020 is the base year with an index value of 500: i. Compute a price-weighted index of these four stocks for 2021. ii. Compute a value-weighted index of these four stocks for 2021. What is the percentage change in the value of the index from 2020 to 2021? iii. Compute the un-weighted index of these four stocks for 2019. What is the percentage change in the value of the index from 2020 to 2021Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the standard deviation of each stock? (Hint: βi = (ρiM σi) / σM.)
- Covariance and Correlation The following table shows the expected returns from six different stocks in three different states of the economy: State of Economy Probability Return Stock A Return Stock B Return Stock C Return Stock D Return Stock E Return Stock F Growth 0.25 31% 3% 15% 21% 0% 18% Status Quo 0.50 21% 1% 3% 7% 4% 3% Recession 0.25 20% 4% -5% -6% 6% -4% Consider of a portfolio consisting of 50% in Stock E and 50% in Stock F. Calculate the covariance between Stocks E and F. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.What is the standard deviation of the returns on a stock given the following information? State of Economy Probability of State of Economy Rate of Return if State Occurs Boom .08 .171 Normal .70 .076 Recession .22 .017Consider the following information: Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .20 .010 −.35 Normal .55 .090 .25 Boom .25 .240 .48 Calculate the expected return for the two stocks. Calculate the standard deviation for the two stocks.
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 5.0% + 1.30RM + eA RB= -2.0% + 1.6RM + eB sigmaM= 20% ; R-squareA= 0.20 ; R-squareB= 0.12 What is the standard deviation of each stock (write as percentage, rounded to 2 decimal places)?Covariance and Correlation The following table shows the expected returns from six different stocks in three different states of the economy: State of Economy Probability Return Stock A Return Stock B Return Stock C Return Stock D Return Stock E Return Stock F Growth 0.25 31% 3% 15% 21% 0% 18% Status Quo 0.50 21% 1% 3% 7% 4% 3% Recession 0.25 20% 4% -5% -6% 6% -4% Calculate the expected return for each stock. Calculate the standard deviation for each stock. Consider of a portfolio consisting of 50% in Stock A and 50% in Stock B. Calculate the covariance between Stocks A and B. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio. Consider of a portfolio consisting of 50% in Stock C and 50% in Stock D. Calculate the covariance between Stocks C and D. Calculate the expected return of the portfolio. Calculate the standard deviation of the portfolio.…The following return series comes from Global Financial Data. Year Large Stocks LT Gov Bonds US T-bills CPI (Rf asset) (inflation) 2017 21.83% 6.24% 0.80% 2.07% 2018 -5.28% -1.25% 1.81% 2.10% 2019 25.45% 3.35% 2.15% 1.10% 2020 18.16% 10.25% 4.50% 1.88% 2021 28.70% -1.54% 0.40% 7.00% 2022 -19.78% -8.55% 2.20% 6.50% Calculate the average nominal return earned on large-company stocks. (Enter percentages as decimals and round to 4 decimals)