Remove moderation_pdf_tex sources and update appendices

Deleted the moderation_pdf_tex directory and its source files, updated references and LaTeX style files, and improved bibliographic entries with DOIs and page numbers. Also updated appendix_letters to remove the abstract, add the LaTeX appendix command, and made corresponding changes in the TeX source and bibliography.

Author: alanlujan91

content/paper/appendix_letters.md

@@ -2,19 +2,22 @@
 title: Appendix to "The Method of Moderation"
 bibliography:
   - references.bib
-abstract: |
-  This appendix provides detailed mathematical derivations and technical results supporting the Method of Moderation. Topics include: value function transformations and their relationship to the inverse value function; explicit formulas for minimal and maximal marginal propensities to consume; cusp point calculations for tighter upper bounds; Hermite interpolation slope formulas and MPC derivations; patience conditions ensuring well-defined solutions; and extensions to stochastic returns with explicit formulas for portfolio problems.
 keywords:
   - Dynamic Stochastic Optimization
   - Numerical Methods
 parts:
   jel_codes: C63; D81; E21
+  abstract: ""
 exports:
   - format: tex+pdf
     template: arxiv_two_column
     output: appendix_letters.pdf
 ---
 
+```{raw} latex
+\appendix
+```
+
 # Appendix: Mathematical Details
 
 ## Patience Conditions Details

content/paper/appendix_letters.pdf

@@ -136,9 +136,6 @@
 
 \maketitle
 
-\begin{abstract}
-This appendix provides detailed mathematical derivations and technical results supporting the Method of Moderation. Topics include: value function transformations and their relationship to the inverse value function; explicit formulas for minimal and maximal marginal propensities to consume; cusp point calculations for tighter upper bounds; Hermite interpolation slope formulas and MPC derivations; patience conditions ensuring well-defined solutions; and extensions to stochastic returns with explicit formulas for portfolio problems.\\
-\end{abstract}
 
 \keywords{Dynamic Stochastic Optimization, Numerical Methods}
 
@@ -148,6 +145,7 @@
 
 %%%%%%%%%%%%%%%  Main text   %%%%%%%%%%%%%%%
 
+\appendix
 \section{Appendix: Mathematical Details}
 
 \subsection{Patience Conditions Details}

content/paper/appendix_letters_pdf_tex/appendix_letters.tex

@@ -34,6 +34,7 @@ @unpublished{CarrollShanker2024
 
 @techreport{Carroll2001MPCBound,
 	author = {Carroll, Christopher D.},
+	doi = {10.3386/w8233},
 	year = {2001},
 	number = {8233},
 	institution = {NBER},
@@ -102,6 +103,7 @@ @article{FritschButland1984
 
 @book{deBoor2001,
 	author = {de Boor, Carl},
+	doi = {10.1007/978-1-4612-6333-3},
 	edition = {Revised},
 	year = {2001},
 	publisher = {Springer},
@@ -143,4 +145,3 @@ @article{TauchenHussey1991
 	title = {Quadrature-{Based} {Methods} for {Obtaining} {Approximate} {Solutions} to {Nonlinear} {Asset} {Pricing} {Models}},
 	volume = {59},
 }
-

content/paper/appendix_letters_pdf_tex/main.bib

@@ -1,6 +1,7 @@
 @article{carrollEGM,
 	author = {Carroll, Christopher D},
 	journal = {Economics Letters},
+	doi = {10.1016/j.econlet.2005.09.013},
 	number = {3},
 	year = {2006},
 	pages = {312--320},
@@ -49,9 +50,12 @@ @article{Kimball1990
 @article{StachurskiToda2019JET,
 	author = {Stachurski, John and Toda, Alexis Akira},
 	journal = {Journal of Economic Theory},
+	doi = {10.1016/j.jet.2019.04.003},
 	year = {2019},
 	note = {Provides an explicit linear lower bound on consumption; Corrigendum 2020},
+	pages = {1--24},
 	title = {An {Impossibility} {Theorem} for {Wealth} in {Heterogeneous}-{Agent} {Models}},
+	volume = {182},
 }
 
 
@@ -68,6 +72,7 @@ @article{MST2020JET
 
 @techreport{Carroll2001MPCBound,
 	author = {Carroll, Christopher D.},
+	doi = {10.3386/w8233},
 	year = {2001},
 	number = {8233},
 	institution = {NBER},
@@ -123,6 +128,7 @@ @book{Friedman1957
 @article{Muth1960,
 	author = {Muth, John F.},
 	journal = {Journal of the American Statistical Association},
+	doi = {10.1080/01621459.1960.10482064},
 	number = {290},
 	year = {1960},
 	pages = {299--306},
@@ -263,6 +269,7 @@ @article{BenvenisteScheinkman1979
 @article{MilgromSegal2002,
 	author = {Milgrom, Paul and Segal, Ilya},
 	journal = {Econometrica},
+	doi = {10.1111/1468-0262.00296},
 	number = {2},
 	year = {2002},
 	pages = {583--601},
@@ -274,6 +281,7 @@ @article{MilgromSegal2002
 @article{Samuelson1969,
 	author = {Samuelson, Paul A.},
 	journal = {Review of Economics and Statistics},
+	doi = {10.2307/1926559},
 	number = {3},
 	year = {1969},
 	pages = {239--246},
@@ -285,6 +293,7 @@ @article{Samuelson1969
 @article{Merton1969,
 	author = {Merton, Robert C.},
 	journal = {Review of Economics and Statistics},
+	doi = {10.2307/1926560},
 	number = {3},
 	year = {1969},
 	pages = {247--257},
@@ -296,6 +305,7 @@ @article{Merton1969
 @article{Merton1971,
 	author = {Merton, Robert C.},
 	journal = {Journal of Economic Theory},
+	doi = {10.1016/0022-0531(71)90038-X},
 	number = {4},
 	year = {1971},
 	pages = {373--413},
@@ -324,4 +334,3 @@ @article{BBZ2016SkewedWealth
 	title = {Skewed {Wealth} {Distributions}: Theory and {Empirics}},
 	volume = {56},
 }
-