Flash Crash The graph shows a rough representation of the (aggregate) market depth11 of the stocks comprising the S&P 500 on the day of the U.S. stock market crash at 2:45 pm on May 6, 2010, the “Flash Crash” (t is the time of the day in hours, and is the market depth in millions of shares).
a. Compute the following (if a limit does not exist, say why):
b. What do the answers to part (a) tell you about the market depth?
The value of , , and using the graph which is as follows:
The graph is as follows:
In graph, t is the time of the day in hours and is the market depth in millions of shares. The above graph represents the condition of the market depth of the stocks comprising the S&P during the U.S. stock market crash which occurs on May at pm.
From the graph, evaluate the limit for t tends to for the function .
As x is approaching from the left, appears to approach the open dot at the height of .
Thus, it is concluded from the graph that on approaching from the left side, appears to be approaching which means .
Then, evaluate the limit for t tends to for the function
The interpretation about the market depth according to the value of , and is , and while the provided limit does not exist.
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