σ vs. s Two symbols are used for the standard deviation: σ and s . a. Which represents a parameter, and which represents a statistic? b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was 13.9 minutes. Is this standard deviation σ or s ?
σ vs. s Two symbols are used for the standard deviation: σ and s . a. Which represents a parameter, and which represents a statistic? b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was 13.9 minutes. Is this standard deviation σ or s ?
Solution Summary: The author explains that the symbol sigma represents a parameter and statistic, whereas the sample standard deviation is the statistic.
σ
vs.
s
Two symbols are used for the standard deviation:
σ
and
s
.
a. Which represents a parameter, and which represents a statistic?
b. To estimate the commute time for all students at a college, 100 students are asked to report their commute times in minutes. The standard deviation for these 100 commute times was 13.9 minutes. Is this standard deviation
σ
or
s
?
We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
Negate the following compound statement using De Morgans's laws.
Negate the following compound statement using De Morgans's laws.
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