Suppose we change the model of Exercise 20.10 as follows:

Assume that M is determined exogenously.

a. Find out which of the equations are identified.

b. Estimate the parameters of the identified equation(s) using the data given in the following table. Justify your method(s).

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R; = Bo + B1 M; + B2Y1 +u1t Y; = ao + aị Rị + a2l, +u2i I, = y0 + yi R¢ + u31 Observation GDP (Y1) M2 (Y2) GPDI (X1) FEDEXP (X2) ТВ6 (Xз) 3,771.9 3,898.6 4,105.0 4,341.5 4,319.6 4,311.2 4,540.9 4,750.5 5,015.0 5,173.4 5,161.7 5,291.7 5,189.3 5,423.8 5,813.6 6,053.7 6,263.6 6,475.1 6,742.7 6,981.4 7,112.5 7,100.5 7,336.6 7,532.7 7,835.5 8,031.7 8,328.9 8,703.5 9,066.9 9,470.3 9,817.0 9,890.7 10,048.8 10,301.0 10,703.5 11,048.6 427.1 475.7 1970 626.5 201.1 6.562 1971 710.3 220.0 4.511 1972 802.3 532.1 244.4 4.466 1973 855.5 594.4 261.7 7.178 1974 902.1 550.6 293.3 7.926 346.2 374.3 1,016.2 1,152.0 1,270.3 1,366.0 1,473.7 1,599.8 1,755.4 1,910.3 2,126.5 2,310.0 2,495.7 2,732.4 2,831.4 2,994.5 3,158.5 3,278.6 3,379.1 3,432.5 3,484.0 3,497.5 3,640.4 3,815.1 4,031.6 4,379.0 4,641.1 4,920.9 5,430.3 5,774.1 6,062.0 6,411.7 6,669.4 1975 453.1 6.122 1976 544.7 5.266 1977 627.0 407.5 5.510 1978 702.6 450.0 7.572 1979 725.0 497.5 10.017 1980 645.3 585.7 11.374 1981 704.9 672.7 13.776 1982 606.0 748.5 11.084 1983 662.5 815.4 8.75 1984 857.7 877.1 9.80 1985 849.7 948.2 7.66 1986 843.9 1,006.0 1,041.6 1,092.7 1,167.5 1,253.5 1,315.0 1,444.6 1,496.0 1,533.1 1,603.5 1,665.8 1,708.9 1,734.9 1,787.6 1,864.4 1,969.5 2,101.1 2,252.1 2,383.0 2,555.9 6.03 1987 870.0 6.05 1988 890.5 6.92 1989 926.2 8.04 1990 895.1 7.47 1991 822.2 5.49 1992 889.0 3.57 1993 968.3 3.14 1994 1,099.6 1,134.0 1,234.3 1,387.7 1,524.1 1,642.6 1,735.5 1,598.4 1,557.1 1,613.1 1,770.6 1,866.3 4.66 1995 5.59 1996 5.09 1997 5.18 1998 4.85 1999 4.76 2000 5.92 2001 3.39 2002 1.69 2003 1.06 2004 1.58 2005 3.40