myst.yml

version: 1
site:
  template: article-theme
  options:
    logo: content/public/econ-ark-logo.png
    logo_text: Econ-ARK
  title: Alan Lujan - EGMⁿ
  subtitle: The Sequential Endogenous Grid Method
  short_title: EGMⁿ
  authors:
    - name: Alan Lujan
      corresponding: true
      email: alanlujan91@gmail.com
      affiliations:
        - Johns Hopkins University
        - Econ-ARK
      github: alanlujan91
      website: https://quantmacro.org
  venue:
    title: REMARK
    url: https://github.com/econ-ark/REMARK
  github: alanlujan91/SequentialEGM
  keywords:
    - endogenous grid method
    - stochastic dynamic programming
    - machine learning
    - gaussian process regression
  nav:
    - title: GitHub
      url: https://github.com/alanlujan91/SequentialEGM
    - title: Econ-ARK
      url: https://econ-ark.org
    - title: My Website
      url: https://quantmacro.org
    - title: Slides
      url: https://alanlujan91.github.io/SequentialEGM/slides
  actions:
    - title: Download paper
      url: content/public/SequentialEGMn.pdf
      static: true
  domains:
    - alanlujan91.curve.space
  favicon: public/econ-ark-logo-small.png

project:
  title: "EGMⁿ: The Sequential Endogenous Grid Method"
  subtitle: "EGM to the power of n"
  short_title: EGMⁿ
  description: "The Sequential Endogenous Grid Method"
  exports:
    - format: pdf+tex
      template: arxiv_nips
      output: content/public/SequentialEGMn.pdf
      articles:
        - content/paper/egmn.md
  downloads:
    - title: Download paper
      file: content/public/SequentialEGMn.pdf
      static: true
  thumbnail: content/public/thumbnail.png
  banner: content/public/banner.png
  keywords:
    - endogenous grid method
    - dynamic programming
    - machine learning
  authors:
    - name: Alan Lujan
      orcid: 0000-0002-5289-7054
      corresponding: true
      email: alujan@jhu.edu
      url: https://advanced.jhu.edu/directory/alan-lujan/
      affiliations:
        - institution: Johns Hopkins University AAP
          department: Department of Applied Economics
          city: Washington
          state: DC
          url: https://advanced.jhu.edu/academics/fields-of-study/applied-economics/
        - institution: Econ-ARK
          url: https://econ-ark.org
      github: alanlujan91
  open_access: true
  license:
    content: CC-BY-4.0
    code: MIT
  github: https://github.com/alanlujan91/SequentialEGM
  subject: Economics
  venue:
    title: REMARK
    url: https://github.com/econ-ark/REMARK
  numbering:
    figure: true
    equation: true
    table: true
    code: true
    heading_1: true
    heading_2: true
    heading_3: true
    heading_4: true
    heading_5: true
    heading_6: true
  bibliography:
    - content/references.bib
  abbreviations:
    GP: Gaussian Process
    GPR: Gaussian Process Regression
    EGM: Endogenous Grid Method
    NEGM: Nested Endogenous Grid Method
    G2EGM: Generalized Endogenous Grid Method
    DCEGM: Discrete Choice Endogenous Grid Method
    WGI: Warped Grid Interpolation
  toc:
    # Auto-generated by `myst init --write-toc`
    - file: content/paper/egmn.md
    - title: Content
      children:
        - file: content/paper/1_intro.md
        - file: content/paper/2_method.md
        - file: content/paper/3_multdim.md
        - file: content/paper/4_multinterp.md
        - file: content/paper/5_conditions.md
        - file: content/paper/6_conclusion.md
        - file: content/paper/7_appendix.md
  math:
    '\CARA': '\alpha'
    '\CRRA': '\rho'
    '\PtyLab': '\mathrm{Z}'
    '\ptyLab': "z"
    '\TaxComb': '\mathcal{T}'
    '\Prob': '\mathbb{P}'
    '\DiePrb': '\mathsf{D}'
    '\diePrb': '\mathsf{d}'
    '\LivPrb': '\cancel{\DiePrb}'
    '\livPrb': '\cancel{\diePrb}'
    '\DiscFac': '\beta'
    '\DieFac': '\pDead'
    '\GroFac': '\Omega'
    '\BalGroFac': '\check'
    '\permGroFac': '\Gamma'
    '\PermGroFac': '\pmb{\Phi}'
    '\PopnGroFac': '\Xi'
    '\APFac': '\text{\pmb{\Thorn}}'
    '\PopFac': '\PopGro'
    '\RPFac': '\APFac_{\Rfree}'
    '\DeprFac': '\daleth'
    '\LivFac': '\Alive'
    '\aVec': '\vec{\mathrm{a}}'
    '\bVec': '\vec{\mathrm{\bNrm}}'
    '\cVec': '\vec{\mathrm{\cNrm}}'
    '\mVec': '\vec{\mathrm{m}}'
    '\yVec': '\vec{\mathrm{\yNrm}}'
    '\Inc': "Y"
    '\inc': "y"
    '\PInc': "P"
    '\AFunc': '\mathrm{A}'
    '\aFunc': '\mathrm{a}'
    '\BFunc': '\mathrm{B}'
    '\bFunc': '\mathrm{b}'
    '\CFunc': '\mathrm{C}'
    '\cFunc': '\mathrm{c}'
    '\MPCFunc': '\pmb{\kappa}'
    '\DFunc': '\mathrm{D}'
    '\dFunc': '\mathrm{d}'
    '\bEndFunc': '\mathfrak{b}'
    '\CEndFunc': '\mathfrak{C}'
    '\cEndFunc': '\mathfrak{c}'
    '\dEndFunc': '\mathfrak{d}'
    '\lEndFunc': '\mathfrak{l}'
    '\mEndFunc': '\mathfrak{m}'
    '\nEndFunc': '\mathfrak{n}'
    '\VEndFunc': '\mathfrak{V}'
    '\vEndFunc': '\mathfrak{v}'
    '\zEndFunc': '\mathfrak{z}'
    '\ProdFunc': '\mathrm{F}'
    '\prodFunc': '\mathrm{f}'
    '\EFunc': '\mathrm{E}'
    '\eFunc': '\mathrm{e}'
    '\FFunc': '\mathrm{F}'
    '\fFunc': '\mathrm{f}'
    '\GFunc': '\mathrm{G}'
    '\gFunc': '\mathrm{g}'
    '\vBegFunc': '\pmb{\upsilon}'
    '\HFunc': '\mathrm{H}'
    '\hFunc': '\mathrm{h}'
    '\IFunc': '\mathrm{I}'
    '\iFunc': '\mathrm{i}'
    '\chiFunc': '\pmb{\chi}'
    '\phiFunc': '\digamma'
    '\JFunc': '\mathrm{J}'
    '\jFunc': '\mathrm{j}'
    '\KFunc': '\mathrm{K}'
    '\kFunc': '\mathrm{k}'
    '\LFunc': '\mathrm{L}'
    '\utilFunc': '\mathrm{u}'
    '\MFunc': '\mathrm{M}'
    '\mFunc': '\mathrm{m}'
    '\NFunc': '\mathrm{N}'
    '\nFunc': '\mathrm{n}'
    '\OFunc': '\mathrm{O}'
    '\PFunc': '\mathrm{P}'
    '\pFunc': '\mathrm{p}'
    '\QFunc': '\mathrm{Q}'
    '\RFunc': '\mathrm{R}'
    '\rFunc': '\mathrm{r}'
    '\SFunc': '\mathrm{S}'
    '\sFunc': '\mathrm{s}'
    '\MPSFunc': '\pmb{lambda}'
    '\TFunc': '\mathrm{T}'
    '\UFunc': '\mathrm{U}'
    '\uFunc': '\mathrm{u}'
    '\VFunc': '\mathrm{V}'
    '\vFunc': '\mathrm{v}'
    '\cPDVFunc': '\mathbb{C}'
    '\pPDVFunc': '\mathbb{P}'
    '\uPDVFunc': '\mathbb{U}'
    '\cLevFunc': '\pmb{\cFunc}'
    '\VLevFunc': '\pmb{\mathrm{V}}'
    '\vLevFunc': '\pmb{\mathrm{v}}'
    '\RevFunc': '\pmb{\Pi}'
    '\revFunc': '\pmb{\pi}'
    '\WFunc': '\mathrm{W}'
    '\wFunc': '\mathrm{w}'
    '\XFunc': '\mathrm{X}'
    '\xFunc': '\mathrm{x}'
    '\YFunc': '\mathrm{Y}'
    '\yFunc': '\mathrm{y}'
    '\ZFunc': '\mathrm{Z}'
    '\zFunc': '\mathrm{z}'
    '\MPC': '\kappa'
    '\PIHMPC': '\varkappa'
    '\MinMPC': '\uline{\kappa}'
    '\MinMinMPC': '\underline{\kappa}'
    '\MaxMinMPC': '\hat{\underline{\kappa}}'
    '\MaxMPC': '\bar{\kappa}'
    '\MaxMaxMPC': '\bar{\bar{\kappa}}'
    '\itc': '\zeta'
    '\kPriceAfterITC': '\mathscr{P}'
    '\PostITC': '\cancel{\zeta}'
    '\pDead': '\mathfrak{D}'
    '\TaxPaid': "T"
    '\WMid': '\BLev'
    '\wMid': '\bLev'
    '\Wmid': '\BRat'
    '\wmid': '\bRat'
    '\Dvdnd': '\mathbf{D}'
    '\dvdnd': "d"
    '\edvdnd': '\grave{\dvdnd}'
    '\hEnd': '\mathfrak{h}'
    '\GovSpend': "X"
    '\govSpend': "x"
    '\xpend': '\xi'
    '\expend': '\xi'
    '\TEnd': "T"
    '\VEnd': '\mathfrak{V}'
    '\vEnd': '\mathfrak{v}'
    '\WEnd': '\ALev'
    '\wEnd': '\aLev'
    '\Wend': '\ARat'
    '\wend': '\aRat'
    '\permGroFacInd': '\pmb{\phi}'
    '\permShkInd': '\psi'
    '\tranShkInd': '\theta'
    '\permLvlInd': '\mathrm{p}'
    '\RCpnd': '\mathbf{R}'
    '\Mod': '\tilde'
    '\Rprod': '\mathscr{R}'
    '\rprod': '\mathscr{r}'
    '\RProd': '\mathsf{R}'
    '\rProd': '\mathsf{r}'
    '\tranShkIndStd': '\sigma_{\tranShkInd}'
    '\tranShkAggStd': '\sigma_{\tranShkAgg}'
    '\ShkMeanOneLogStd': '\sigma_{\ShkMeanOneLog}'
    '\ShkLogZeroLogStd': '\sigma_{\cancel{\ShkMeanOneLog}}'
    '\PermShkStd': '\sigma_{\PermShk}'
    '\TranShkStd': '\sigma_{\TranShk}'
    '\prud': '\eta'
    '\tFwd': "n"
    '\aE': '\aRat^{e}'
    '\BE': '\BRat^{e}'
    '\bE': '\bRat^{e}'
    '\CE': '\CRat^{e}'
    '\cE': '\cRat^{e}'
    '\Price': '\mathsf{P}'
    '\kPrice': '\mathsf{P}'
    '\Severance': '\kappa'
    '\MPCE': '\MPC^{e}'
    '\Rfree': '\mathsf{R}'
    '\rfree': '\mathsf{r}'
    '\TaxFree': '\cancel{\Tax}'
    '\Age': "Z"
    '\age': "z"
    '\Wage': '\mathsf{W}'
    '\wage': '\mathsf{w}'
    '\bTargE': '\check{b}^{e}'
    '\CTargE': '\CTarg^{\null}'
    '\cTargE': '\check{c}^{e}'
    '\kTargE': '\Target{k}^{e}'
    '\STargE': '\Target{\SRat}^{\null}'
    '\sTargE': '\Target{\sRat}^{\null}'
    '\yTargE': '\check{y}^{e}'
    '\ME': '\MRat^{e}'
    '\mE': '\mRat^{e}'
    '\TermTime': "T"
    '\ShkMeanOne': '\Theta'
    '\PopE': '\mathcal{E}'
    '\popE': "e"
    '\labShare': '\nu'
    '\leiShare': '\zeta'
    '\kapShare': '\alpha'
    '\riskyshare': '\varsigma'
    '\Retire': '\mathbb{R}'
    '\WPre': "K"
    '\wPre': "k"
    '\Leisure': "Z"
    '\leisure': "z"
    '\SE': '\SRat^{e}'
    '\sE': '\sRat^{e}'
    '\BRatE': "{B}^{e}"
    '\bRatE': "{b}^{e}"
    '\CRatE': '\CRat^{e}'
    '\cRatE': '\cRat^{e}'
    '\DiscRate': '\vartheta'
    '\pDeadRate': '\grave{\cancel{\mathsf{d}}}'
    '\erate': '\cancel{\mho}'
    '\pDieRate': '\grave{\mathsf{d}}'
    '\timeRate': '\vartheta'
    '\saveRate': '\grave{s}'
    '\MRatE': '\MRat^{e}'
    '\mRatE': '\mRat^{e}'
    '\SRatE': '\SRat^{e}'
    '\sRatE': '\sRat^{e}'
    '\srate': '\varsigma'
    '\urate': '\mho'
    '\TaxRate': "t"
    '\empState': '\xi'
    '\discRte': '\tau'
    '\DiscRte': '\vartheta'
    '\GroRte': '\omega'
    '\BalGroRte': '\tilde'
    '\permGroRte': '\gamma'
    '\PermGroRte': '\varphi'
    '\PopnGroRte': '\xi'
    '\APRte': '\text{\thorn}'
    '\GPRte': '\text{\thorn}_{\PermGroRte}'
    '\popRte': '\popGro'
    '\RPRte': '\text{\thorn}_{\rfree}'
    '\deprRte': '\delta'
    '\Value': '\mathrm{V}'
    '\VE': "{V}^{e}"
    '\vE': "{v}^{e}"
    '\Save': "S"
    '\save': "s"
    '\RSave': '\underline{\Rfree}'
    '\rsave': '\underline{\rfree}'
    '\Abve': '\bar'
    '\BLevE': '\BLev^{e}'
    '\bLevE': '\bLev^{e}'
    '\CLevE': '\CLev^{e}'
    '\cLevE': '\cLev^{e}'
    '\mLevE': '\mLev^{e}'
    '\SLevE': '\SLev^{e}'
    '\sLevE': '\sLev^{e}'
    '\Alive': '\mathcal{L}'
    '\cFuncAbove': '\bar{\mathrm{c}}'
    '\aRatBF': '\pmb{a}'
    '\bRatBF': '\pmb{\mathrm{b}}'
    '\cRatBF': '\pmb{c}'
    '\mRatBF': '\pmb{\mathrm{m}}'
    '\ALevBF': '\mathbf{A}'
    '\aLevBF': '\mathbf{a}'
    '\BLevBF': '\mathbf{B}'
    '\bLevBF': '\mathbf{b}'
    '\CLevBF': '\mathbf{C}'
    '\cLevBF': '\mathbf{c}'
    '\HLevBF': '\mathbf{H}'
    '\hLevBF': '\mathbf{h}'
    '\KLevBF': '\mathbf{K}'
    '\kLevBF': '\mathbf{k}'
    '\LLevBF': '\mathbf{L}'
    '\lLevBF': '\pmb{\ell}'
    '\MLevBF': '\mathbf{M}'
    '\mLevBF': '\mathbf{m}'
    '\OLevBF': '\mathbf{O}'
    '\oLevBF': '\mathbf{o}'
    '\PLevBF': '\mathbf{P}'
    '\pLevBF': '\mathbf{p}'
    '\SLevBF': '\mathbf{S}'
    '\sLevBF': '\mathbf{s}'
    '\vLevBF': '\mathbf{v}'
    '\YLevBF': '\mathbf{Y}'
    '\yLevBF': '\mathbf{y}'
    '\ZLevBF': '\mathbf{Z}'
    '\zLevBF': '\pmb{z}'
    '\CDF': '\mathcal{F}'
    '\SDF': '\MLev'
    '\RfreeEff': '\bar{\Rfree}'
    '\CGroPF': '\Lambda'
    '\cGroPF': '\lambda'
    '\WGroPF': '\mathrm{G}'
    '\MPCPPF': '\Pi'
    '\vBeg': '\upsilon'
    '\WBeg': '\KLev'
    '\wBeg': '\kLev'
    '\aAgg': '\mathsf{A}'
    '\cAgg': '\pmb{C}'
    '\permGroFacAgg': '\Phi'
    '\RfreeAgg': '\Agg{\Rfree}'
    '\PermShkAgg': '\Psi'
    '\permShkAgg': '\Psi'
    '\TranShkAgg': '\Theta'
    '\tranShkAgg': '\Theta'
    '\permLvlAgg': '\mathrm{P}'
    '\PermLvlAgg': '\PLvl'
    '\zAgg': '\pmb{Z}'
    '\ShkMeanOneLog': '\theta'
    '\mBalLog': '\BalGroRte{m}'
    '\EpremLog': '\varphi'
    '\ShkLogZeroLog': '\cancel{\ShkMeanOneLog}'
    '\pLog': "p"
    '\ImpG': '\Im}_{\PGro'
    '\impg': '\imath}_{\pGro'
    '\ATarg': '\check{A}'
    '\aTarg': '\check{a}'
    '\BTarg': '\check{B}'
    '\bTarg': '\check{b}'
    '\CTarg': '\Target{C}'
    '\cTarg': '\check{c}'
    '\BTargTarg': '\Target{\Target{\BRat}}'
    '\bTargTarg': '\Target{\Target{\bRat}}'
    '\cTargTarg': '\Target{\Target{\cRat}}'
    '\STargTarg': '\Target{\Target{\SRat}}'
    '\sTargTarg': '\Target{\Target{\sRat}}'
    '\kTarg': '\Target{k}'
    '\mTarg': '\check{m}'
    '\STarg': '\Target{\SRat}'
    '\sTarg': '\Target{\sRat}'
    '\vTarg': '\Target{\vRat}'
    '\yTarg': '\check{y}'
    '\CGroOverG': '\Upsilon'
    '\avg': '\bar'
    '\h': "h"
    '\Wealth': "O"
    '\wealth': "o"
    '\Hi': '\hat'
    '\Chi': '\mathrm{X}'
    '\NI': "Z"
    '\TaxUI': '\tau'
    '\adj': '\mathrm{j}'
    '\PermGroFacAdj': '\underline{\PermGroFac}'
    '\PGroAdj': '\underline{\PGro}'
    '\pGroAdj': '\underline{\pGro}'
    '\PatPGroAdj': '\text{\pmb{\Thorn}}_{\underline{\PGro}}'
    '\patpGroAdj': '\text{\thorn}_{\underline{\pGro}}'
    '\PermGroFacuAdj': '\underline{\underline{\PermGroFac}}'
    '\PGrouAdj': '\underline{\underline{\PGro}}'
    '\pGrouAdj': '\underline{\underline{\pGro}}'
    '\DiscAltuAdj': '\underline{\underline{\beth}}'
    '\TEndBak': '\mathsf{p}'
    '\tBak': '\pmb{n}'
    '\TEatBak': '\mathtt{q}'
    '\ek': '\lambda'
    '\Shk': '\Phi'
    '\shk': '\phi'
    '\PermShk': '\mathbf{\Psi}'
    '\permShk': '\psi'
    '\uInvEuPermShk': '\underline{\underline{\PermShk}}'
    '\TranShk': '\pmb{\xi}'
    '\PShk': '\Psi'
    '\pShk': '\psi'
    '\pshk': '\psi'
    '\TShk': '\Xi'
    '\tShk': '\xi'
    '\tshk': '\xi'
    '\Work': '\mathbb{W}'
    '\vk': '\lambda'
    '\util': "u"
    '\TranShkAll': '\pmb{\xi}'
    '\tShkAll': '\xi'
    '\WAll': "O"
    '\wAll': "o"
    '\Lvl': '\mathbf'
    '\ALvl': '\mathbf{A}'
    '\aLvl': '\mathbf{a}'
    '\BLvl': '\mathbf{B}'
    '\bLvl': '\mathbf{b}'
    '\CLvl': '\mathbf{C}'
    '\cLvl': '\mathbf{c}'
    '\DLvl': '\mathbf{D}'
    '\dLvl': '\mathbf{d}'
    '\ELvl': '\mathbf{E}'
    '\eLvl': '\mathbf{e}'
    '\FLvl': '\mathbf{F}'
    '\fLvl': '\mathbf{f}'
    '\GLvl': '\mathbf{G}'
    '\HLvl': '\mathbf{H}'
    '\hLvl': '\mathbf{h}'
    '\ILvl': '\mathbf{I}'
    '\iLvl': '\mathbf{i}'
    '\JLvl': '\mathbf{J}'
    '\jLvl': '\mathbf{j}'
    '\KLvl': '\mathbf{K}'
    '\kLvl': '\mathbf{k}'
    '\LLvl': '\mathbf{L}'
    '\ABalLvl': '\BalGroFac{\ALvl}'
    '\MBalLvl': '\BalGroFac{\MNrm}'
    '\mBalLvl': '\BalGroFac{m}'
    '\MLvl': '\mathbf{M}'
    '\mLvl': '\mathbf{m}'
    '\PermLvl': '\pLvl'
    '\NLvl': '\mathbf{N}'
    '\PopnLvl': '\pmb{\mathrm{N}}'
    '\OLvl': '\mathbf{O}'
    '\PLvl': '\mathbf{P}'
    '\pLvl': '\mathbf{p}'
    '\QLvl': '\mathbf{Q}'
    '\RLvl': '\mathbf{R}'
    '\rLvl': '\mathbf{r}'
    '\SLvl': '\mathbf{S}'
    '\sLvl': '\mathbf{s}'
    '\TLvl': '\mathbf{T}'
    '\ULvl': '\mathbf{U}'
    '\VLvl': '\mathbf{V}'
    '\vLvl': '\mathbf{v}'
    '\WLvl': '\mathbf{W}'
    '\XLvl': '\mathbf{X}'
    '\YLvl': '\mathbf{Y}'
    '\yLvl': '\mathbf{y}'
    '\ZLvl': '\mathbf{Z}'
    '\zLvl': '\mathbf{z}'
    '\Ham': '\mathcal{H}'
    '\EPrem': '\Phi'
    '\eprem': '\varphi'
    '\tHorOfm': '\pmb{n}'
    '\debtLim': '\mathsf{d}'
    '\tTerm': "T"
    '\vFirm': '\mathrm{e}'
    '\ANrm': "A"
    '\aNrm': "a"
    '\BNrm': "B"
    '\bNrm': "b"
    '\CNrm': "C"
    '\cNrm': "c"
    '\GPFacNrm': '\APFac_{\PermGroFacAdj}'
    '\DNrm': "D"
    '\dNrm': "d"
    '\ENrm': "E"
    '\eNrm': "e"
    '\FNrm': "F"
    '\fNrm': "f"
    '\bTrgNrm': '\TargetNrm{\bNrm}'
    '\mTrgNrm': '\TargetNrm{m}'
    '\HNrm': "H"
    '\hNrm': "h"
    '\INrm': "I"
    '\iNrm': "i"
    '\JNrm': "J"
    '\jNrm': "j"
    '\KNrm': "K"
    '\kNrm': "k"
    '\MNrm': "M"
    '\mNrm': "m"
    '\PNrm': "P"
    '\pNrm': "p"
    '\RNrm': '\mathcal{R}'
    '\rNrm': "s"
    '\SNrm': "S"
    '\sNrm': "s"
    '\TargetNrm': '\hat'
    '\VNrm': "V"
    '\vNrm': "v"
    '\xNrm': "x"
    '\YNrm': "Y"
    '\yNrm': "y"
    '\ZNrm': "Z"
    '\zNrm': "z"
    '\Rnorm': '\mathcal{R}'
    '\rnorm': '\mathit{r}'
    '\vNorm': '\mathrm{w}'
    '\WHum': '\HLev'
    '\wHum': '\hLev'
    '\Whum': '\HRat'
    '\whum': '\hRat'
    '\Num': "N"
    '\VNum': "V"
    '\vNum': "v"
    '\Mean': '\mathbb{M}'
    '\tThen': '\tau'
    '\valfn': '\mathrm{v}'
    '\aMin': '\underline{\aRat}'
    '\bMin': '\underline{\bRat}'
    '\MPCmin': '\uline{\kappa}'
    '\hEndMin': '\underline{\mathfrak{h}}'
    '\aboveMin': '\blacktriangle'
    '\hMin': '\underline{\h}'
    '\HMin': '\underline{H}'
    '\pShkMin': '\underline{\psi}'
    '\whumMin': '\underline{\hRat}'
    '\MPCminmin': '\underline{\kappa}'
    '\TranShkEmpMin': '\underline{\TranShkEmp}'
    '\tShkEmpMin': '\underline{\theta}'
    '\MPSmin': '\pZero^{1/\CRRA} \RPFac'
    '\MPCmaxmin': '\hat{\underline{\kappa}}'
    '\Decision': '\mathbb{D}'
    '\SeveranceRatio': '\varsigma'
    '\Lo': '\check'
    '\ShkLogZero': '\cancel{\ShkMeanOne}'
    '\pZero': '\wp'
    '\pNotZero': '(1-\pZero)'
    '\LGro': '\Lambda'
    '\lGro': '\lambda'
    '\PGro': '\Gamma'
    '\pGro': '\gamma'
    '\GDPGro': '\gimel'
    '\EmpGro': '\Xi'
    '\empGro': '\xi'
    '\PopGro': '\Xi'
    '\popGro': '\xi'
    '\PatPGro': '\text{\pmb{\Thorn}}_{\PGro}'
    '\patpGro': '\text{\thorn}_{\pGro}'
    '\XperGro': '\mathsf{X}'
    '\xperGro': '\mathsf{x}'
    '\DivGro': '\mathrm{G}'
    '\divGro': '\mathsf{g}'
    '\WGro': '\mathrm{G}'
    '\wGro': '\mathsf{g}'
    '\RnormWGro': '\mathcal{R}_{\WGro}'
    '\rnormwGro': '\mathit{r}_{\wGro}'
    '\PatWGro': '\text{\pmb{\Thorn}}_{\WGro}'
    '\patwGro': '\text{\thorn}_{\wGro}'
    '\PtyGro': '\Phi'
    '\ptyGro': '\phi'
    '\RBoro': '\bar{\Rfree}'
    '\rboro': '\bar{\rfree}'
    '\Pareto': '\zeta'
    '\Kap': "K"
    '\kap': "k"
    '\EEndMap': '\mathsf{E}'
    '\TMap': '\mathscr{T}'
    '\cP': '\cons^{\prime}'
    '\MPCP': '\pi'
    '\taxDep': '\partial'
    '\FP': '\mathrm{F}^{\prime}'
    '\fP': '\mathrm{f}^{\prime}'
    '\TranShkEmp': '\pmb{\theta}'
    '\TShkEmp': '\Theta'
    '\tShkEmp': '\theta'
    '\IncUnemp': '\mu'
    '\Pop': "L"
    '\cPP': '\cons^{\prime\prime}'
    '\FPP': '\mathrm{F}^{\prime\prime}'
    '\fPP': '\mathrm{f}^{\prime\prime}'
    '\cPPP': '\cons^{\prime\prime\prime}'
    '\uPPP': '\mathrm{u}^{\prime\prime\prime}'
    '\uPP': '\mathrm{u}^{\prime\prime}'
    '\TaxCorp': '\Large \tau'
    '\taxCorp': '\tau'
    '\uP': '\mathrm{u}^{\prime}'
    '\q': '\koppa'
    '\adjPar': '\omega'
    '\tranShkIndVar': '\sigma^{2}_{\tranShkInd}'
    '\tranShkAggVar': '\sigma^{2}_{\tranShkAgg}'
    '\ShkMeanOneLogVar': '\sigma^{2}_{\ShkMeanOneLog}'
    '\ShkLogZeroLogVar': '\sigma_{\cancel{\ShkMeanOneLog}}^{2}'
    '\PermShkVar': '\sigma^{2}_{\PermShk}'
    '\TranShkVar': '\sigma^{2}_{\TranShk}'
    '\sdr': '\mRat'
    '\Estdr': '\sigma_{\risky}'
    '\xFer': '\chi'
    '\XFer': "X"
    '\nIter': "n"
    '\power': '\eta'
    '\labor': '\ell'
    '\Labor': '\mathrm{L}'
    '\PLabor': "P"
    '\Plabor': "P"
    '\tHor': '\mathsf{n}'
    '\error': '\epsilon'
    '\Depr': '\daleth'
    '\depr': '\delta'
    '\ImpR': '\Im}_{\Rfree'
    '\impr': '\imath}_{\rfree'
    '\EVarr': '\sigma_{\Risky}^{2}'
    '\Evarr': '\sigma_{\risky}^{2}'
    '\Err': "Z"
    '\err': "z"
    '\CGroOverR': '\Phi'
    '\corr': '\varrho'
    '\curr': "1"
    '\Curr': "t"
    '\tCurr': "t"
    '\PatR': '\text{\pmb{\Thorn}}_{\Rfree}'
    '\patr': '\text{\thorn}_{\rfree}'
    '\PDies': '\mathsf{D}'
    '\pDies': '\mathsf{d}'
    '\PLives': '\cancel{\PDies}'
    '\pLives': '\cancel{\pDies}'
    '\Stocks': "S"
    '\stocks': "s"
    '\TaxNetTrans': "Z"
    '\taxNetTrans': "z"
    '\unins': '\zeta'
    '\Cons': "C"
    '\cons': "c"
    '\MPS': '\lambda'
    '\MinMPS': '\pZero^{1/\CRRA} \PatR'
    '\MaxMPS': '\PatR'
    '\CGroPS': '\chi'
    '\Hours': '\mathfrak{H}'
    '\hours': '\mathfrak{h}'
    '\ASS': "A"
    '\aSS': "a"
    '\cEss': "{c}^{e}"
    '\mEss': '\check{m}^{e}'
    '\vEss': '\check{v}^{e}'
    '\MSS': '\breve{M}'
    '\mSS': '\breve{m}'
    '\RGross': '\breve{\mathsf{R}}'
    '\rGross': '\breve{\mathsf{r}}'
    '\tSS': "t"
    '\effUnits': "X"
    '\Surplus': "Z"
    '\surplus': "z"
    '\TEat': '\TEnd'
    '\patpGrohat': '\hat{\text{\thorn}}_{\pGro}'
    '\aMat': '[\mathrm{a}]'
    '\bMat': '[\mathrm{\bNrm}]'
    '\cMat': '[\mathrm{\cNrm}]'
    '\tShkMat': '[\mathrm{\tShkEmp}]'
    '\mMat': '[\mathrm{m}]'
    '\xMat': '[\mathrm{\xNrm}]'
    '\yMat': '[\mathrm{\yNrm}]'
    '\Pat': '\text{\pmb{\Thorn}}'
    '\pat': '\text{\thorn}'
    '\ARat': "A"
    '\aRat': "a"
    '\NFARat': '\NRat'
    '\BRat': "B"
    '\bRat': "b"
    '\CRat': "C"
    '\cRat': "c"
    '\ccRat': '\mathsf{c}'
    '\dRat': "d"
    '\WEndRat': '\ARat'
    '\wEndRat': '\aRat'
    '\HRat': "H"
    '\hRat': "h"
    '\IRat': "I"
    '\iRat': "i"
    '\KRat': "K"
    '\kRat': "k"
    '\LRat': "L"
    '\lRat': "l"
    '\WAllRat': "O"
    '\wAllRat': "o"
    '\MRat': "M"
    '\mRat': "m"
    '\NRat': "N"
    '\nRat': "n"
    '\ORat': "O"
    '\oRat': "o"
    '\pRat': "p"
    '\GDPRat': "P"
    '\gdpRat': "p"
    '\SRat': "S"
    '\sRat': "s"
    '\VRat': "V"
    '\vRat': "v"
    '\WRat': "O"
    '\wRat': "o"
    '\XRat': "X"
    '\xRat': "x"
    '\YRat': "Y"
    '\yRat': "y"
    '\ZRat': "Z"
    '\zRat': "z"
    '\Debt': "D"
    '\debt': "d"
    '\Target': '\check'
    '\WNet': "X"
    '\wNet': "x"
    '\straight': '\Pi'
    '\weight': '\omega'
    '\Habit': "H"
    '\habit': "h"
    '\WMkt': '\MLev'
    '\wMkt': '\mLev'
    '\wmkt': '\mLev'
    '\Alt': '\grave'
    '\DiscFacAlt': '\beth'
    '\DiscAlt': '\beth'
    '\ValAlt': '\mathcal{V}'
    '\vOptAlt': '\grave{\tilde{\mathfrak{v}}}'
    '\RiskyAlt': '\pmb{\mathfrak{R}}'
    '\riskyAlt': '\pmb{\mathfrak{r}}'
    '\uPmt': '\mu'
    '\SeverancePayment': '\mathcal{S}'
    '\kapRent': '\varkappa'
    '\Discount': '\beta'
    '\tinyAmount': '\epsilon'
    '\WTot': '\mathbf{O}'
    '\wTot': '\mathbf{o}'
    '\Wtot': "O"
    '\wtot': "o"
    '\vOpt': '\tilde{\mathfrak{v}}'
    '\Rport': '\mathbb{R}'
    '\rport': '\mathbb{r}'
    '\FDist': '\mathcal{F}'
    '\fDist': '\mathcal{f}'
    '\Next': "t+1"
    '\tNext': "t+1"
    '\BU': "{B}^{u}"
    '\bU': "{b}^{u}"
    '\CU': '\CRat^{u}'
    '\cU': '\cRat^{u}'
    '\MPCU': '\MPC^{u}'
    '\MU': "{M}^{u}"
    '\mU': "{m}^{u}"
    '\PopU': '\mathcal{U}'
    '\SU': '\SRat^{u}'
    '\sU': '\sRat^{u}'
    '\PatU': '\text{\pmb{\Thorn}}_{\urate}'
    '\patu': '\text{\thorn}_{\urate}'
    '\bRatU': "{b}^{u}"
    '\CRatU': '\CRat^{u}'
    '\cRatU': '\cRat^{u}'
    '\SRatU': '\SRat^{u}'
    '\sRatU': '\sRat^{u}'
    '\VU': "{V}^{u}"
    '\vU': "{v}^{u}"
    '\BLevU': '\BLev^{u}'
    '\bLevU': '\bLev^{u}'
    '\CLevU': '\CLev^{u}'
    '\cLevU': '\cLev^{u}'
    '\SLevU': '\SLev^{u}'
    '\sLevU': '\sLev^{u}'
    '\pSav': '\phi'
    '\PDV': '\mathbb{P}'
    '\CPDV': '\text{PDV($C$)}'
    '\PPDV': '\text{PDV($P$)}'
    '\ALev': "A"
    '\aLev': "a"
    '\NFALev': '\NLev'
    '\BLev': "B"
    '\bLev': "b"
    '\CLev': "C"
    '\cLev': "c"
    '\DLev': "D"
    '\ELev': "E"
    '\FLev': "F"
    '\fLev': "f"
    '\GLev': "G"
    '\HLev': '\pmb{H}'
    '\hLev': '\pmb{h}'
    '\ILev': "I"
    '\iLev': "i"
    '\JLev': "J"
    '\KLev': "K"
    '\kLev': "k"
    '\lLev': '\ell'
    '\LLev': "L"
    '\WAllLev': '\mathbf{O}'
    '\wAllLev': '\mathbf{o}'
    '\MLev': "M"
    '\mLev': "m"
    '\NLev': "N"
    '\nLev': "n"
    '\oLev': '\pmb{o}'
    '\OLev': "O"
    '\pLev': '\pmb{p}'
    '\PLev': "P"
    '\GDPLev': '\pmb{P}'
    '\gdpLev': '\pmb{p}'
    '\PopLev': '\pmb{N}'
    '\QLev': "Q"
    '\RLev': "R"
    '\SLev': "S"
    '\sLev': "s"
    '\TLev': "T"
    '\ULev': "U"
    '\uLev': "u"
    '\VLev': "V"
    '\vLev': "v"
    '\wLev': '\pmb{w}'
    '\WLev': "W"
    '\XLev': "X"
    '\xLev': "x"
    '\TaxLev': "T"
    '\YLev': "Y"
    '\yLev': "y"
    '\PtyLev': "A"
    '\ptyLev': "a"
    '\ZLev': "Z"
    '\zLev': "z"
    '\Rev': '\Pi'
    '\rev': '\pi'
    '\tPrev': "t-1"
    '\Div': "D"
    '\DiscFacLiv': '\underline{\DiscFacRaw}'
    '\Inv': "I"
    '\inv': "i"
    '\TaxCombInv': '\mathcal{T}^{-1}'
    '\EPermShkInv': '\Ex[\PermShk^{-1}]'
    '\InvEPermShkInv': '\underline{\PermShk}'
    '\EpShkInv': '\Ex[\pShk^{-1}]'
    '\InvEpShkInv': '\underline{\psi}'
    '\uInvEpShkuInv': '\underline{\underline{\psi}}'
    '\VInv': '\Lambda'
    '\vInv': '\scriptstyle \Lambda \displaystyle'
    '\cov': '\textup{cov}'
    '\DiscFacRaw': '\beta'
    '\GPFacRaw': '\APFac_{\PermGroFac}'
    '\Belw': '\ushort'
    '\GovNW': "N"
    '\govNW': "n"
    '\cFuncBelow': '\uline{\mathrm{c}}'
    '\tNow': "t"
    '\cFuncMax': '\bar{\bar{\mathrm{c}}}'
    '\MPCmax': '\bar{\kappa}'
    '\MPSmax': '\RPFac'
    '\MPCmaxmax': '\bar{\bar{\kappa}}'
    '\Tax': '\tau'
    '\tax': '\tau'
    '\Ex': '\mathbb{E}'
    '\prudEx': '\omega'
    '\Steady': '\bar'
    '\Risky': '\mathbf{R}'
    '\risky': '\mathbf{r}'
    '\Seniority': '\mathsf{X}'
    '\seniority': '\mathsf{x}'