uppose all possible investment opportunities in the world are limited to the five stocks listed in the table: What does the market portfolio consist of (what are the p nter the percentage that each stock makes up of the total portfolio. (Round to two decimal places.) Stock A Portfolio Weight %
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?The data below describes a three-stock financial market that satisfies the single index model. Stock Capitalization Beta Mean Excess Return Standard Deviation A £3,000 1.0 10% 40% B £1,940 0.2 2% 30% C £1,360 1.7 17% 50% The standard deviation of the market index portfolio is 25%. What is the mean excess return of the index portfolio? What is the covariance between stock A and stock B? What is the covariance between stock B and the index? Break down the variance of stock B into its systematic and firm specific components.For the next question, consider the two stocks, A and B, in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. P0 Q0 P1 Q1 A 50 100 45 100 B 30 200 34 200 Calculate the rate of return on a price-weighted index of the two stocks for between t = 0 and t = 1. Assume the divisor value is 2. Enter your answer as a decimal, rounded to four decimal places (e.g, 0.0123).
- Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 100 50 100 stk2 50 200 50 200 stk3 60 150 50 300 Which answer is the closest value to the rate of return on a value-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 6% 2.6% 4.4% 2 0.5 16 27 14 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.) c. If the T-bill rate is 7%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)please answer the expected return of the portfolio (%) with stocks A, B, C. Round to one decimal place.
- Consider the three stocks in the following table. P, represents price at time t, and Q, represents shares outstanding at time t. Stock C splits two-for-one in the last period. (LO 2-2) A B C Po 90 50 100 Qo 100 200 200 P₁ 95 45 110 Q₁ 100 200 200 P₂ 95 45 55 a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). b. What must happen to the divisor for the price-weighted index in year 2? c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t=2). Q₂ 100 200 400Use the information for the question(s) below. An exchange-traded fund (ETF) is a security that represents a portfolio of individual stocks. Consider an ETF for which each share represents a portfolio of three shares of International Business Machines (IBM), five shares of Apple (AAPL), and eight shares of Tesla (TSLA). Suppose the current market price of each individual stock is shown below: Stock Current Price IBM $145.60 Apple $180.00 Tesla $267.50 What is the price per share of the ETF in a normal market? Assume that the ETF is trading for $3,700.00. What (if any) arbitrage opportunity exists? What (if any) trades would you make?An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 9%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 5.9%. If ai = 0, bi = 1.2, ci = -0.4, and di = 1.3, what is the stock's predicted return? Round your answer to two decimal places. %
- Suppose you allocate 2/5 of your portfolio value to a stock that has an expected return of 8% and the rest to another stock that has an expected return of 17%. What is the expected return on your two-stock portfolio? Note: Show your answer in units of percents, use plain numbers with at least two digits after the decimal (e.g., for 12.34%, type 12.34).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.The figures below show plots of monthly rates of return on three stocks versus those of the market index. The beta and standard deviation of each stock is given beside the plot. Which stock is safest for a diversified investor? Which stock is safest for an undiversified investor who puts all her money in one of these stocks? Consider a portfolio with equal investments in each stock. What would be this portfolio’s beta? Consider a well-diversified portfolio composed of stocks with the same beta and standard deviation as Ford. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20%. Use the capital asset pricing model to estimate the expected return on each stock. The risk-free rate is 4%, and the market risk premium is 8%.