R(A) = ai + 1 x I1 + 0.5 x I2 = 12.0%... 1)
R(B) = ai + 3 x I1 + 0.2 x I2 = 13.4%....2)
R(C) = ai + 3 x I1 - 0.5 x I2 = 12.0%....3)
Subtracting 2 and 3,
=> 13.4% - 12.0% = 0.7 x I2
=> I2 = 2%
Substituting I2 in 1 and 3,
R(A) = 12% = ai + 1 x I1 + 0.5 x 2%
=> 11% = ai + I1
R(C) = 12% = ai + 3 x I1 - 0.5 x 2%
=> 13% = ai + 3I1
Subtracting one from another, we get
=> I1 = 1% and ai = 10%
Two-index model equation
Ri = 10% + bi1 x 1% + bi2 x 2% + ei
Q#4 Assume that the following two-index model describes returns: Assume that the following three portfolios are...
Problem 1: Consider the following multifactor (APT) model of security returns for a particular stock Factor Inflation Industrial Production Oil Prices Factor Beta 1.0 0.5 0.2 Factor Risk Premium 9% 10% 8% If riskless T-bills currently offer an 8% yield, find the expected return on this stock if it is fairly priced (that is, if no arbitrage opportunities exist)
Is there an arbitrage opportunity given the following three portfolios (assume that CAPM holds)? If yes, construct an arbitrage portfolio. What is the portfolio expected return? Portfolio Expected return Beta A 16% 2 M 12% 1 F 4% 0
Assume that you are using a two-factor APT model, with factors A and B, to find the fair expected return on a well-diversified portfolio Q that has an actual expected return of 18%. Portfolio Q's factor loadings (i.e., Q's betas on each of the two factors) and the factors' risk premiums are shown in the table below. Portfolios for factors A and B are tradable (i.e., you can take long or short positions in them). The risk-free rate is 3.5%....
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.5% + 0.95RM + eA RB = –1.8% + 1.10RM + eB σM = 27%; R-squareA = 0.23; R-squareB = 0.11 Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill. Portfolio P is composed of 60% Stock A and 40% Stock B. a....
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3% + 0.7RM + eA & RB = –2% + 1.2RM + eB σM = 20%; R-squareA = 0.20; R-squareB = 0.12 Assume you create portfolio P with investment proportions of 0.60 in A and 0.40 in B. 1. What is the standard deviation of the portfolio? 2. What is the beta of your portfolio? 3. What is the...
16. The Fama-French three-factor model Consider the following two statements and identify which model each describes: This model uses a single risk factor, the variability of the stock with respect to the market portfolio, to explain the required return on a security or portfolio. Capital Asset Pricing Model Fama-French three-factor model This model is incorrect because the size effect it uses does not influence stock returns and the book-to-market value effect either is insignificant or is not a function of...
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 1.8% + 0.75RM + eA RB = –2.0% + 1.10RM + eB σM = 23%; R-squareA = 0.18; R-squareB = 0.10 Assume you create a portfolio Q, with investment proportions of 0.50 in a risky portfolio P, 0.30 in the market index, and 0.20 in T-bill. Portfolio P is composed of 60% Stock A and 40% Stock B. a....
Q2 (e) Assume for simplicity sake that one factor has been deemed appropriate to "explain" returns on stocds (0) How and there is no idiosyncratic risk. Derive the arbitrage pricing theory would you perform a test of the predictions of the capital asset pricing model given historical data (APT) model 2. Consider Tablo 1 Return and Variance a/c to the Stocks Sample Covariance Residual AlphaBeta Expected Variance and Return | with Market | Variance | (96) Return Market 3.60 4.80...
In the context of a one factor APT model, you are looking at the following three portfolios: Portfolio Expected return Factor sensitivity A 6 1.05 B 13 0.76 C 13 1.47 If you construct a composite portfolio "D" from B and C that has the same factor sensitivity as portfolio A, (similar to previous problem) and then go long D and short A (or the other way around) to create a riskless arbitrage profit, what would be your expected return?...
An index model regression applied to past monthly returns in Ford's stock price produces the following estimates, which are believed to be stable over time: rf = 0.10% + 1.1rm If the market index subsequently rises by 8% and Ford's stock price rises by 7%, what is the abnormal change in Ford's stock price? (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 1 decimal place.) Abnormal returnIn a recent closely...