a certain frequently traded stock is only priced up to round d idered), and you place a BUY trade for $10/share today. Th day, and, by the end of trading hours each day, it goes up wn by $1 with probability 1-p. As a wise investor, you place ells all your shares if the market price reaches $5/share at s in case the market moves against you. Furthermore, you he market price reaches $15/share. What is the probability e your STOP order? ANSWER AS A NUMBER WITH TWO DECIMALS, I.E., BE O ROUND TO THE *NEAREST* SUCH NUMBER) E

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Chapter1: Combinatorial Analysis
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Suppose that a certain frequently traded stock is only priced up to round dollar values (that is, no
cents are considered), and you place a BUY trade for $10/share today. The price of this stock
changes every day, and, by the end of trading hours each day, it goes up by $1 with probability
p=0.51, and down by $1 with probability 1-p. As a wise investor, you place a STOP order that
automatically sells all your shares if the market price reaches $5/share at any time in the future, to
limit your losses in case the market moves against you. Furthermore, you place an order to SELL all
your shares if the market price reaches $15/share. What is the probability that your SELL order
executes before your STOP order?
(TYPE YOUR ANSWER AS A NUMBER WITH TWO DECIMALS, I.E., BETWEEN 0.00 AND 1.00.
REMEMBER TO ROUND TO THE *NEAREST* SUCH NUMBER)
Transcribed Image Text:Suppose that a certain frequently traded stock is only priced up to round dollar values (that is, no cents are considered), and you place a BUY trade for $10/share today. The price of this stock changes every day, and, by the end of trading hours each day, it goes up by $1 with probability p=0.51, and down by $1 with probability 1-p. As a wise investor, you place a STOP order that automatically sells all your shares if the market price reaches $5/share at any time in the future, to limit your losses in case the market moves against you. Furthermore, you place an order to SELL all your shares if the market price reaches $15/share. What is the probability that your SELL order executes before your STOP order? (TYPE YOUR ANSWER AS A NUMBER WITH TWO DECIMALS, I.E., BETWEEN 0.00 AND 1.00. REMEMBER TO ROUND TO THE *NEAREST* SUCH NUMBER)
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