knitr::opts_chunk$set(message=FALSE, warning=FALSE, fig.width=6, fig.height=3, fig.align="center", size = "footnotesize")
def.chunk.hook  <- knitr::knit_hooks$get("chunk")
knitr::knit_hooks$set(chunk = function(x, options) {
  x <- def.chunk.hook(x, options)
  ifelse(options$size != "normalsize", paste0("\n \\", options$size,"\n\n", x, "\n\n \\normalsize"), x)
})

\begin{abstract} ABSTRACT .......................

\bigskip \noindent KEYWORDS: \textbf{KEYWORDS} \end{abstract}

\thispagestyle{empty}

\clearpage \setcounter{page}{1}

\section{Introduction}\label{introduction} \onehalfspacing

\section{Theoretical Foundation} \label{sec:3}

\subsection{Conventional Theory} \label{sec:3.1}

\paragraph{The Background of U.S. Mortgage}

In the United States, most mortgage have a fixed interest rate and no prepayment penalties. Thus, household could decide prepayment based on their potential savings. On the other hand, to share the risk of default, banks would sale mortgage backed securities (MBS). MBS and mortgage loans constitute a major share of United States fixed income markets, comparable in size to that of Treasuries \citep{RN131}. And therefore, the fluctuations of MBS accounts for a considerable share in the aggregate risk of fixed income market.

\begin{figure}[H] \centering \includegraphics[width=0.8\linewidth]{plot1.png} \caption{NBER DATES AND ESTIMATED BUSINESS CYCLE PROXY} \label{fig:1} \caption*{\footnotesize \textit{Notes}: The solid line is estimated business cycle using CFA. And the shadow area is recessions defined by NBER.} \end{figure}

\begin{table}[H] \caption{potential structural breaking points } \centering \label{tab:a1} \scalebox{0.8}{\begin{tabular}{lclc} \toprule Variable & Quarter & Variable & Quarter \ \midrule BC & 1992 Q3 & MP & 1973 Q1 \ ~ & 1999 Q2 & ~ & 1975 Q1 \ ~ & 2011 Q1 & ~ & 1977 Q3 \ ~ & ~ & ~ & 1984 Q4 \ ~ & ~ & ~ & 1995 Q2 \ ~ & ~ & ~ & 1999 Q4 \ ~ & ~ & ~ & 2005 Q4 \ ~ & ~ & ~ & 2007 Q3 \ \vspace{2\baselineskip}\ FD & 1990 Q3 & GG & 1984 Q2 \ ~ & 2000 Q2 & ~ & 2008 Q2 \ ~ & 2013 Q1 & ~ & 2009 Q2 \ \vspace{2\baselineskip}\ RL & 1973 Q2 & ~ & ~ \ ~ & 1989 Q1 & ~ & ~ \ ~ & 2006 Q4 & ~ & ~ \ ~ & 2007 Q3 & ~ & ~ \ \bottomrule \end{tabular}} \caption*{\footnotesize \textit{Notes}: Here monetary policy with the most change points, as this variable is also affected by the change of the chair of Fed.}
\end{table}

\newpage

\singlespacing \bibliographystyle{ecta} \bibliography{references.bib}

\appendix \counterwithin{figure}{section} \counterwithin{table}{section} \onehalfspacing \titleformat{\section}{\normalsize\bfseries}{\appendixname~\thesection.}{1em}{} \titleformat{\subsection}{\normalsize\bfseries}{~\thesubsection}{1em}{} \titleformat{\subsubsection}{\normalsize\bfseries}{~\thesubsubsection}{1em}{}



WayneLockon/FinMetric documentation built on July 17, 2025, 12:10 a.m.