# Read e-book online A Solution Manual To The Econometrics Of Financial Markets PDF By Petr Adamek, John Y. Campbell, Andrew W. Lo, A. Craig Mackinlay, Luis M. Viceira

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9) Ra = Ra ; Rr : Since a = r , the expected return of a is zero. 10) c 25 26 PROBLEMS IN CHAPTER 5 is c = 0. Any other solution would contradict q being minimum variance. 12) Cov Rq Ra ] = 0: Thus the return of a is uncorrelated with the return of all minimum variance portfolios. 16) we have 1 = aop = 1 ; ap . 16) gives 0 = 0 which completes the solution. 1) for N assets. m we can calculate the (N 1) vector of covariances of the N asset returns with the market portfolio return, the expected excess return of the market, and the variance of the market return, Cov Z Zm ] = !

However, the bubble is strongly correlated with the dividend, capturing the e ect of dividend \overreaction". The bubble never bursts for a strictly positive dividend stream. 4) 2: This is negative when < . The autocorrelation of stock returns is determined by the balance of two opposing e ects. 4 35 and this creates positive autocorrelation in realized stock returns. However innovations in expected future stock returns are negatively correlated with current unexpected stock returns, and this creates negative autocorrelation in realized stock returns.

1) for N assets. m we can calculate the (N 1) vector of covariances of the N asset returns with the market portfolio return, the expected excess return of the market, and the variance of the market return, Cov Z Zm ] = ! 4) m = ! 7) the result = 0 is immediate. 3. The calculations for three selected stocks are left to the reader. 4 Let Zt be a (N +1 1) vector of excess asset returns with mean and covariance matrix . Designate asset N + 1 as the market portfolio m. Assume that is full rank. 1) Using straight forward algebra we have 2 (!