Suppose that you short-sell 100 shares of TSLA
stock using the close price ($123.18) on December 30, 2022. Assume that the initial margin is
50%.

(a) Compute your daily returns for your positions till February 10, 2023.
(b) If the maintenance margin is 25%, do you get a margin call on your short position?

\begin{tabular}{|r|r|r|r|r|r|r|} \hline Date & Open & High & Low & Close & Adj Close & Volume \\ \hline 12/30/2022 & 119.95 & 124.48 & 119.75 & 123.18 & 123.18 & 157777300 \\ \hline 1/3/2023 & 118.47 & 118.8 & 104.64 & 108.1 & 108.099998 & 231402800 \\ \hline 1/4/2023 & 109.11 & 114.59 & 107.52 & 113.64 & 113.639999 & 180389000 \\ \hline 1/5/2023 & 110.51 & 111.75 & 107.16 & 110.34 & 110.339996 & 157986300 \\ \hline 1/6/2023 & 103 & 114.39 & 101.81 & 113.06 & 113.059998 & 220911100 \\ \hline 1/9/2023 & 118.96 & 123.52 & 117.11 & 119.77 & 119.769997 & 190284000 \\ \hline 1/10/2023 & 121.07 & 122.76 & 114.92 & 118.85 & 118.849998 & 167642500 \\ \hline 1/11/2023 & 122.09 & 125.95 & 120.51 & 123.22 & 123.220001 & 183810800 \\ \hline 1/12/2023 & 122.56 & 124.13 & 117 & 123.56 & 123.559998 & 169400900 \\ \hline 1/13/2023 & 116.55 & 122.63 & 115.6 & 122.4 & 122.400002 & 180714100 \\ \hline 1/17/2023 & 125.7 & 131.7 & 125.02 & 131.49 & 131.490005 & 186477000 \\ \hline 1/18/2023 & 136.56 & 136.68 & 127.01 & 128.78 & 128.779999 & 195680300 \\ \hline 1/19/2023 & 127.26 & 129.99 & 124.31 & 127.17 & 127.169998 & 170291900 \\ \hline 1/20/2023 & 128.68 & 133.51 & 127.35 & 133.42 & 133.419998 & 138858100 \\ \hline 1/23/2023 & 135.87 & 145.38 & 134.27 & 143.75 & 143.75 & 203119200 \\ \hline 1/24/2023 & 143 & 146.5 & 141.1 & 143.89 & 143.88999 & 158699100 \\ \hline 1/25/2023 & 141.91 & 146.41 & 138.07 & 144.43 & 144.429993 & 192734300 \\ \hline 1/26/2023 & 159.97 & 161.42 & 154.76 & 160.27 & 160.270004 & 234815100 \\ \hline 1/27/2023 & 162.43 & 180.68 & 161.17 & 177.9 & 177.899994 & 306590600 \\ \hline 1/30/2023 & 178.05 & 179.77 & 166.5 & 166.66 & 166.660004 & 230878800 \\ \hline 1/31/2023 & 164.57 & 174.3 & 162.78 & 173.22 & 173.220001 & 196813500 \\ \hline 2/1/2023 & 173.89 & 183.81 & 169.93 & 181.41 & 181.410004 & 213806300 \\ \hline 2/2/2023 & 187.33 & 196.75 & 182.61 & 188.27 & 188.270004 & 217448300 \\ \hline 2/3/2023 & 183.95 & 199 & 183.69 & 189.98 & 189.979996 & 232662000 \\ \hline 2/6/2023 & 193.01 & 198.17 & 189.92 & 194.76 & 194.759995 & 186188100 \\ \hline 2/7/2023 & 196.43 & 197.5 & 189.55 & 196.81 & 196.809998 & 186010300 \\ \hline 2/8/2023 & 196.1 & 203 & 194.31 & 201.29 & 201.289993 & 180673600 \\ \hline 2/9/2023 & 207.78 & 214 & 204.77 & 207.32 & 207.320007 & 215431400 \\ \hline \end{tabular}