This is TeX, Version 3.14159 (C version 6.1) (format=texsis 99.4.15) 30 JUL 2001 13:25 **tech_appendix (tech_appendix.tex TeXsis version 2.17 (1 January 1998) format preloaded. (tech_appendix.aux) (/usr/local/teTeX/texmf/tex/generic/dvips/epsf.tex \epsffilein=\read3 \epsfxsize=\dimen54 \epsfysize=\dimen55 \epsftsize=\dimen56 \epsfrsize=\dimen57 \epsftmp=\dimen58 \pspoints=\dimen59 ) [1] (tech_appendix.toc [-1]) [-2] 1. The Model 1.1. Notation 1.2. Uncertainty [1] 1.3. The Final Goods Producers [2] 1.4. The Consumer's Problem [3] 1.5. The Foreign Consumer's Problem [4] 1.6. The Intermediate Goods Producers [5] [6] [7] 1.7. The Government 1.8. Additional Equilibrium Conditions [8] 1.9. Aggregates of Interest [9] 1.10. Extensions 1.10.1. Taylor Rule as Fed Policy 1.10.2. Incomplete Asset Markets [10] [11] 1.10.3. Additional Shocks [12] 1.10.4. Sticky Wages [13] [14] [15] [16] [17] [18] 2. Computing an Equilibrium 2.1. The Benchmark Economy 2.1.1. Normalization in the Benchmark Economy Underfull \vbox (badness 10000) has occurred while \output is active \vbox(536.00175+3.5)x391.46176, glue set 8.77644 .\glue(\topskip) 0.0 .\vbox(16.66666+0.0)x391.46176 ..\hbox(8.33333+2.33333)x391.46176, glue set 210.35503fil ...\twelvebf 2 ...\twelvebf . ...\glue(\xspaceskip) 5.0 ...\glue(\xspaceskip) 5.0 ...\twelvebf C ...etc. ..\glue 6.0 plus 2.0 minus 2.0 .\penalty 10000 .\write9{\string \TOCitem {1}} .\write9{{\TOCsID{2.}Computing an Equilibrium}} .etc. [19] [20] 2.1.2. Steady State in the Benchmark Economy [21] [22] [23] 2.1.3. Linearized Equations in the Benchmark Economy [24] [25] Overfull \hbox (4.60127pt too wide) in paragraph at lines 1586--1590 \tenrm We will add an ex-pec-ta-tions op-er-a-tor when we are done since we as- sume that $\teni E[]f\tenrm (\teni x\tenrm (\teni s[]\tenrm )) \tensy ^^Y \hbox(7.93448+2.5)x391.46176, glue set - 1.0 .\tenrm W .\kern-0.83334 .\tenrm e .\glue 3.33333 plus 1.66666 minus 1.11111 .\tenrm w .etc. [26] [27] [28] [29] 2.1.4. Solving the Linearized System in the Benchmark Economy [30] [31] Overfull \hbox (0.9865pt too wide) detected at line 2051 \teni A[] \tenrm = [] \teni : \hbox(40.95831+35.95831)x391.46176 .\teni A .\hbox(4.51111+0.0)x4.48613, shifted 1.49998 ..\sevenrm 2 .\glue(\thickmuskip) 2.77771 plus 2.77771 .\tenrm = .\glue(\thickmuskip) 2.77771 plus 2.77771 .etc. [32] [33] [34] [35] [36] 2.2. The Taylor-Rule Extension [37] 2.2.1. Normalization for the Taylor-Rule Extension 2.2.2. Steady State for the Taylor-Rule Extension 2.2.3. Linearized Equations for the Taylor-Rule Extension [38] 2.2.4. Solving the Linearized System for the Taylor-Rule Extension [39] Overfull \hbox (0.9865pt too wide) detected at line 2554 \teni A[] \tenrm = [] \teni : \hbox(40.95831+35.95831)x391.46176 .\teni A .\hbox(4.51111+0.0)x4.48613, shifted 1.49998 ..\sevenrm 2 .\glue(\thickmuskip) 2.77771 plus 2.77771 .\tenrm = .\glue(\thickmuskip) 2.77771 plus 2.77771 .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(536.00175+4.0)x391.46176, glue set 4.34732 .\glue(\topskip) 1.98218 .\hbox(8.01782+2.5)x391.46176, glue set 0.01344 ..\glue(\tabskip) 0.0 plus 1000.0 minus 1000.0 ..\hbox(8.01782+2.5)x11.80557, glue set 1.45833fil ...\glue 0.0 plus 1.0fil ...\mathon ...\hbox(6.83331+1.49998)x10.34724 [] ...\mathoff ..\glue(\tabskip) 0.0 ..\hbox(8.01782+2.5)x352.78398, glue set 198.66089fil ...\mathon ...\hbox(8.01782+2.5)x154.1231 [] ...\mathoff ...\glue 0.0 plus 1.0fil ..\glue(\tabskip) 0.0 plus 1000.0 minus 1000.0 .\penalty 100 .\glue 6.0 plus 2.0 minus 2.0 .\glue(\baselineskip) 10.48218 .etc. [40] [41] [42] [43] [44] 2.3. The Incomplete-Markets Extension [45] 2.3.1. Normalization for the I-M Extension [46] [47] 2.3.2. Steady State for the I-M Extension 2.3.3. Linearized Equations for the I-M Extension [48] 2.3.4. Solving the Linearized System for the I-M Extension [49] [50] [51] 2.4. The Extension with Additional Shocks [52] 2.4.1. New Code for the Benchmark Economy [53] [54] [55] [56] 2.4.2. New Code for the Taylor-Rule Extension [57] [58] [59] 2.4.3. New Code for the I-M Extension 2.4.4. Allowing for Accommodative Monetary Policy [60] [61] [62] [63] [64] 2.5. The Extension with Sticky Wages Overfull \hbox (4.70235pt too wide) in paragraph at lines 4180--4184 [][]\tenrm we add $\tensy N$ \tenrm static equa-tions $\teni L[]\tenrm (\teni j \tenrm ) = ([]\teni =W\tenrm (\teni j\tenrm ))[] [] \teni L[]\tenrm (\teni i\te nrm ) \teni di$ \tenrm to de-ter-mine the $\teni L[]\tenrm (\teni j; s[]\tenrm )$'s, \hbox(10.22878+3.05562)x391.46176, glue set - 1.0 .\hbox(0.0+0.0)x20.0 .\hbox(4.44444+0.0)x0.0, glue set - 10.00002fil ..\glue 0.0 plus 1.0fil minus 1.0fil ..\mathon ..\tensy ^^O ..\mathoff ..\kern 5.0 .\tenrm w .\kern-0.27779 .\tenrm e .etc. [65] 2.5.1. Normalization in the Sticky-Wage Economy [66] 2.5.2. Steady State in the Sticky-Wage Economy [67] 2.5.3. Linearized Equations in the Sticky-Wage Economy Overfull \hbox (6.48337pt too wide) in paragraph at lines 4365--4372 \tenrm Most of the first-order con-di-tions look the same in the bench-mark and sticky-wage economies. \hbox(6.94444+1.94444)x391.46176, glue set - 1.0 .\tenrm M .\tenrm o .\tenrm s .\tenrm t .\glue 3.33333 plus 1.66666 minus 1.11111 .etc. [68] [69] [70] [71] 2.5.4. Solving the Linearized System in the Sticky-Wage Economy [72] [73] [74] [75] [76] [77] 3. Formulas for Preferences [78] 3.1. Separable Preferences 3.2. Nonseparable Preferences I [79] [80] [81] 3.3. Nonseparable Preferences II [82] 4. Are Real Exchange Rates Volatile and Persistent? [83] [84] [85] [86] 5. Some Analytics for Special Cases 5.1. Labor-Only Case with Nonseparable U, Exogenous Money, and $N=2$ [87] [88] [89] [90] [91] [92] 5.2. Labor-Only Case with Separable U, Exogenous Money, and $N=2$ [93] [94] ) Output written on tech_appendix.dvi (97 pages, 383324 bytes).