Defense_Slides/LATEX/Chapter_III/Chapter_III.tex
2024-10-24 12:46:43 -06:00

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\begin{frame}{Chapter III}
\huge
\bf{Bitcoin Mining, the Next Shale Boom?}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Guiding Question}
\Large
How will bitcoin mining change oil production decisions in the United States?
\large
\vfill
\onslide<2->{Basin and state fixed effect model of flared gas value. Structural vector autoregression (SVAR) model of oil production elasticity. Time series model of bitcoin mining energy use.}
\begin{itemize}
\onslide<3->{\item{Effect depends on location}}
\onslide<4->{\item{Response is \emph{not sensitive} to bitcoin price}}
\onslide<4->{\item{Response is sensitive to natural gas price}}
\onslide<5->{\item{Up to a 0.55\% increase in oil production}}
\onslide<6->{\item{Oil revenues could increase by 0.63\%}}
\onslide<7->{\item{Global oil price would decline by 0.2\%}}
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Background}
\begin{frame}{Background: Bitcoin mining}
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{itemize}
\onslide<2->{\item{Adds transactions to the block chain}}
\onslide<2->{\item{Limited size in a block}}
\onslide<3->{\item{Miner reward}}
\onslide<3->{\item{User fees}}
\onslide<4->{\item{Hash function}}
\onslide<5->{\item{Difficultly adjustment}}
\onslide<6->{\item{Application-specific integrated circuit (ASIC)}}
\end{itemize}
\end{column}
\begin{column}{0.5\textwidth}
\centering
\includegraphics[width=\textwidth]{Chapter_III/figures/Cryptocurrency_Mining_Farm.jpg}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Background: Flaring}
\Large \textbf{Why is natural gas flared?}
\large
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{itemize}
\onslide<2->{\item{Natural gas is always produced with oil}}
\onslide<3->{\item{Gas oil ratio (GOR)}}
\onslide<4->{\item{Expensive pipelines required to move the gas}}
\onslide<5->{\item{Flaring is cheaper in new or remote fields}}
\end{itemize}
\onslide<6->{Bitcoin miners have a mobile demand for low cost energy sources.}
\end{column}
\begin{column}{0.5\textwidth}
\centering
\only<1-5>{
\includegraphics[width=\textwidth]{Chapter_III/figures/FALRING.png}
North Dakota flared gas \citep{dalrympleNorthDakotaNatural2018}
}
\only<6>{ \includegraphics[width=\textwidth]{Chapter_III/figures/BTC_MINER_FLARED.png}
Crusoe Energy Bitcoin miner \citep{robertson2021}
}
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Data}
\begin{frame}{Data}
\begin{columns}
\begin{column}{0.33\textwidth}
\textbf{Enverus}
\begin{itemize}
\item{Well location}
\item{Well attributes}
\item{Oil and gas production}
\end{itemize}
\end{column}
\begin{column}{0.33\textwidth}
\textbf{Bitcoin Data}
\begin{itemize}
\item{Block difficulty}
\item{Blocks added}
\item{Bitcoin price}
\end{itemize}
\end{column}
\begin{column}{0.33\textwidth}
\textbf{Other Data}
\begin{itemize}
\item{Oil price}
\item{Natural gas price}
\item{Industrial index}
\item{Temperature}
\end{itemize}
\end{column}
\end{columns}
\vfill
Volume of oil and gas produced by a well is discounted to the date it was drilled \citep{anderson2018}.
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Econometrics}
\begin{frame}{Econometrics}
\Large Three econometric results.
\large
\begin{enumerate}
\onslide<1->{\item{Structural vector autoregression: Elasticity of oil production}}
\onslide<2->{\item{Fixed effect model of flared gas: Total subsidy from selling flared gas}}
\onslide<3->{\item{Nonlinear Cointegrating Autoregressive Distributed Lag Mode (NARDL): Effect of bitcoin price shocks}}
\end{enumerate}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Structural vector autoregression}
\begin{frame}{Information flow in oil markets}
\begin{figure}
\includegraphics[width=\textwidth]{Chapter_III/figures/timeline.png}
\end{figure}
\onslide<2->{Restriction that drilling rates do not respond to price shocks within the same month \citep{kilian2009}. It takes time to acquire drilling rig contracts, licenses, and create engineering plans}
\end{frame}
%%%%%%%%%%%%%%%%%%%%
\begin{frame}{A matrix restrictions of the SVAR model}
\small
\begin{equation*}
\begin{pmatrix}
e^{\Delta BTU}_t\\
e^{\Delta \theta}_t\\
e^{\Delta D_{i}}_t\\
e^{\Delta P_{g}}_t\\
e^{\Delta P_{o}}_t
\end{pmatrix}=
\begin{bmatrix}
1 & 0 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 & 0 \\
a_{3,1} & a_{3,2} & 1 & 0 & 0 \\
a_{4,1} & a_{4,2} & a_{4,3} & 1 & 0 \\
a_{5,1} & a_{5,2} & a_{5,1} & a_{5,1} & 1 \\
\end{bmatrix}
\begin{pmatrix}
\epsilon_{q}\\
\epsilon_{\theta}\\
\epsilon_{D_{i}}\\
\epsilon_{g}\\
\epsilon_{o}
\end{pmatrix}
\begin{matrix}
\text{Joint Supply Shock}\\
\text{Composition Shock}\\
\text{Industrial Demand Shock}\\
\text{Gas Specific Demand Shock}\\
\text{Oil Specific Demand Shock}\\
\end{matrix}
\end{equation*}
\end{frame}
%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Key impulse response from industrial shock}
\begin{columns}
\begin{column}{0.45\textwidth}
\small
\includegraphics[width=\textwidth]{Chapter_III/figures/IRF_BTU.pdf}
IRF on energy production
\includegraphics[width=\textwidth]{Chapter_III/figures/IRF_IND}
IRF on industrial demand
\end{column}
\begin{column}{0.45\textwidth}
\small
\includegraphics[width=\textwidth]{Chapter_III/figures/IRF_WTI}
IRF on oil price
\includegraphics[width=\textwidth]{Chapter_III/figures/IRF_HH}
IRF on natural gas price
\end{column}
\end{columns}
\end{frame}
%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Elasticity estimate}
\only<1-2>{
\onslide<1>{\begin{equation*}
Elasticity_{S}=\sum_{t=0}^{t}\left(\frac{\Delta \theta_{t} \cdot \Delta q_{t}}{\Delta P_{oil,t}}\right)
\end{equation*}
}
\newline
\onslide<2>{\begin{equation*}
0.55=\sum_{t=0}^{120}\left(\frac{\Delta \theta_{t} \cdot \Delta q_{t}}{\Delta P_{oil,t}}\right)
\end{equation*}}
}
\only<3->{
\centering
Average U.S. subdsidy estimated to be 0.11 \(\frac{MCF}{BBL}\)
\begin{equation*}
\text{Oil subsidy equivalent} =\frac{\$0.0605\cdot P_{gas}}{BBL}
\end{equation*}
}
\end{frame}
%%%%%%%%%%%%%%%%%%START HERE
\begin{frame}{Bitcoin mining model}
\only<1>{
\Large How sensitive are payments to oil companies depending on the price of bitcoin?
}
\only<2->{
\centering
\begin{figure}
\centering
\resizebox{\textwidth}{!}{
\begin{tikzpicture}[domain=0:45]
\def\qone{4}
\draw[very thin,color=gray] (-0.1,-0.1) grid (11.9,6.7);
\draw[- >,thick] (-0.2,0) -- (12,0) node[right] {$Hash$};
\draw[- >,blue,thick] (5.2,0.6) parabola (9,5.5) node[left] {Supply} ;
\draw[blue,thick] (0,0.3) -- (5.2,0.6) ;
\fill[black] (5.2,0.6) circle (2pt);
\draw (5.2,1) node[above] {Functional shift};
\draw[red] (6,3.5) node[left] {Total Revenue (\$)};
\draw[red] (5.5,3) node[left] {\(y=m\cdot x \)};
\draw[cyan] (8,1) node[above] {MR=m};
\draw[cyan] (10.5,2) node[above] {\(MR=m\cdot\)(1+x-k)};
\draw[- >,dashed,thick] (9.4,0) -- (9.4,5.8) node[above] {Capital Constraint (k)};
\draw[- >,thick] (0,-0.2) -- (0,6.9) node[above] {$\frac{\$}{BTC}$};
\draw[- >,thick, color=red] (0,0)--(11.5,5.5) ;
\draw[thick, color=cyan] (0,1)--(9.4,1) ;
\draw[- >,thick, color=cyan] (9.4,1)--(11,2.0909) ;
\end{tikzpicture}
}
\caption{Short-run simplified hash supply}\label{SRS}
\end{figure}
}
\end{frame}
%%%%%%%%%%%%%%%%%
\begin{frame}{Bitcoin NARDL model}
\only<1>{The proposed model uses the estimations of \citep{shin2014} and can be written in a simple form as:
\begin{equation*}
h_{t}=\sum_{j=1}^{p}\phi_{j}h_{t-j}+\sum_{j=0}^{q}\left(\theta_{t-j}^{+} x_{t-j}^{+}+\theta_{t-j}^{-} x_{t-j}^{-}\right)+\epsilon_{t}
\end{equation*}
With \(h_{t}\) being the hash rate of all miners on day \(t\) and \(x_{t}\) as the total miner reward. A (\(+/-\)) indicating a positive or negative change in reward. \emph{P} is the autoregressive lags on hash, and \emph{q} is the lags on miner reward. The coefficients of the regression are \(\phi\) for lags on hash and \(\theta\) for lags on reward.}
\only<2>{
\begin{table}[!htbp] \centering
\label{REG}
\resizebox{0.4\textwidth}{!}
{\begin{tabular}{@{\extracolsep{0pt}}lcc}
\\[-1.8ex]\hline
\hline \\[-1.8ex]
% & \multicolumn{2}{c}{\textit{Dependent variable:}} \\
%\cline{2-3}
\\[-1.8ex] & \multicolumn{2}{c}{hash} \\
\\[-1.8ex] & Short Run & Long Run\\
\hline \\[-1.8ex]
\(hash_{t-1}\) &-0.015$^{**}$ & \\
& (0.01) & \\
& & \\
\(Rev^{+}\) & 0.286$^{***}$ & 18.89$^{**}$ \\
& (0.006) & (8.42) \\
& & \\
\(Rev_{t-1}^{+}\) & $-$0.348$^{***}$ & $-$22.95$^{**}$ \\
& (0.058) & (10.48) \\
& & \\
\(Rev_{t-1}^{+}\) & 0.0847$^{**}$ & 5.59$^{**}$ \\
& (0.038) & (3.27) \\
& & \\
\(Rev^{-}\) & 0.331$^{***}$ & 21.88$^{*}$\\
& (0.038) & (9.62) \\
& & \\
\(Rev_{t-1}^{-}\) & $-$0.321$^{***}$ & $-$21.21$^{**}$ \\
& (0.037) & (9.30) \\
& & \\
\(trend\) & $-$0.001 & $-$0.040$^{**}$ \\
& (0.001) & (0.04) \\
& & \\
\(Const\) & 0.454$^{**}$ & \\
& (0.185) & \\
& & \\
\hline
& \bf{Asymmetry} & \\
\hline \\[-1.8ex]
W-stat & 0.5021178 & 2187.54 $^{***}$ \\
\hline \\[-1.8ex]
\hline \\[-1.8ex]
Observations & \multicolumn{2}{c}{323}\\
R$^{2}$ & \multicolumn{2}{c}{0.4104}\\
Adjusted R$^{2}$ & \multicolumn{2}{c}{0.3977}\\
Residual Std. Error (df = 323) & \multicolumn{2}{c}{0.0504} \\
F Statistic (df = 7; 323) & \multicolumn{2}{c}{32.18$^{***}$} \\
\hline \\[-1.8ex]
\multicolumn{2}{l}{\textit{Note:} $^{*}$p$ < $0.1; $^{**}$p$ < $0.05; $^{***}$p$ < $0.01} \\
\end{tabular} }
\end{table}
}
\only<3>{
A shock of less than 18\% is approximately the same whether the price increase is negative or positive
}
\end{frame}
\begin{frame}{Results}
\begin{itemize}
\item{Average U.S. oil output increase of \(\frac{\$0.0605\cdot P_{gas}}{BBL}\)}
\item{Response is \emph{not sensitive} to bitcoin price}
\item{Response is sensitive to natural gas price}
\end{itemize}
\end{frame}
%%%%%%%%%%%%%%%%%
\begin{frame}[plain]
\huge
Conclusion
\end{frame}