t. Those portfolios are defined as follows: w=(0.6, 0.2, 0.2) and v= (0.8, -0.2, 0.4). Moreover, we assume that the market portfolio M is eft ing the two-fund theorem we know that the market portfolio can be expressed as a linear combination of w and v, M= x*w+ y*v for some nd the expression of the expected return of the market portfolio in terms of x and y. M =0.12x +0.08y IM =0.08x +0.12y гм -0.6х +0.4y TM =0.4x +0.6y

Show that if E,=1 a, diverges, then En=1 | |a,| diverges. %3D

National income from manufacturing industries is to be estimated for 1989 from a sample of 6 of the 19 industry categories that reported figures early for that year. Incomes from all 19 industries are known for 1980 and the total is $674 billion. From the data provided, estimate the total national income from manufacturing in 1989, with a bound on the error. All figures are in billions of constant (1982) dollars. Industry 1980 1989 Lumber and wood products Electrie and electronie 21 63 26 91 equipment Motor vehicles and 91 47 equipment Food and kindred products Textile mill products 70 70 60 70 Chemicals and allied 50 50 products a. Find a ratio estimator of the 1989 total income, and place a bound on the error of estimation. Interpret the results. b. Find a regression estimator of the 1989 total income, and place a bound on the error of estimation. Interpret the results. c. Find a difference estimator of the 1989 total income, and place a bound on the error of estimation. d. Which of…

Consider two assets with returns: rị = 3 (:) r2 = in two states. If the 1 has a return (:) portfolio z = find the value of a.