Consider a bull spread where you buy a $40-$strike call and sell a $45-$strike call. Suppose S$=$$ $40,\backslash$sigma $=0\mathrm{.}30,$ r$=0\mathrm{.}08,\backslash$delta $=0,$ and T$=0\mathrm{.}5.$ Draw a graph with stock prices ranging from $ $20$ to $ $60$ depicting the profit on the bull spread after $1$ day, $3$ mopahs, and $6$ months.