Basic Business Statistics, Student Value Edition
14th Edition
ISBN: 9780134685113
Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat
Publisher: PEARSON
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Chapter 9, Problem 5PS
What is your decision in problem 9.4 if
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Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
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Direction of the relationship (positive, negative, or zero relationship):
Strength of the relationship (strong/moderate/weak):
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In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0
given (under the measure P) by
d.St 0.03 St dt + 0.2 St dwt,
with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to
price an option on this stock (which we name cubic put). This option is European-type, with
maturity 3 months (i.e. T = 0.25 years), and payoff given by
F = (8-5)+
(a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure
Q. (You don't need to prove it, simply give the answer.)
(b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2.
(c) Let X =
S. Find the Stochastic Differential Equation satisfied by the process (Xt)
under the measure Q.
(d) Find an explicit expression for X₁ = S3 under measure Q.
(e) Using the results above, find the price of the cubic put option mentioned above.
(f) Is the price in (e) the same as in question (b)? (Explain why.)
Chapter 9 Solutions
Basic Business Statistics, Student Value Edition
Ch. 9 - If you use a 0.005 level of significance in a...Ch. 9 - If you use a 0.05 level of significance in a...Ch. 9 - If you use a 0.10 level of significance in a...Ch. 9 - If you use a 0.01 level of significance in a...Ch. 9 - What is your decision in problem 9.4 if...Ch. 9 - What is the p -value if, in a two-tail hypothesis...Ch. 9 - In problem 9.6, what is your statistical decision...Ch. 9 - What is the p-value if, in a two -tail hypothesis...Ch. 9 - In the U.S. legal system, a defendant is presumed...Ch. 9 - Suppose the defendant in Problem 9.9 is presumed...
Ch. 9 - Many consumer groups feel that U.S. Food and Drug...Ch. 9 - As a result of complaints from both students and...Ch. 9 - Do business senior at your school prepare for...Ch. 9 - The quality- control manager at a light emitting...Ch. 9 - Suppose that in problem 9.14, the standard...Ch. 9 - A bottled water distributor wants to determine...Ch. 9 - Suppose that in Problem 9.16, the standard...Ch. 9 - If, In a sample of n=16 selected from a normal...Ch. 9 - In Problem 9.18, how many degrees of freedom does...Ch. 9 - In Problem 9.18, 9.19, what are the Critical...Ch. 9 - In, Problem 9.18, 9.19, and 9.20, what is your...Ch. 9 - If, in a sample of n=16 selected from a...Ch. 9 - If, in a sample of n=160 selected from a...Ch. 9 - You are the manager of a restaurant for a...Ch. 9 - A manufacturer of chocolate candies uses machines...Ch. 9 - A marketing researcher wants to estimate the mean...Ch. 9 - The U.S. Department of Transportation requires...Ch. 9 - The file FastFood contains the amount that a...Ch. 9 - An insurance company has the business objective of...Ch. 9 - The following data (in Drink) represent the amount...Ch. 9 - One of the major measures of the quality of...Ch. 9 - A manufacturing company produces steel housings...Ch. 9 - One operation of a steel mill is to cut pieces of...Ch. 9 - In Problem 3.69 on page 156, you were introduced...Ch. 9 - We Are Social and Hootsuite reported that the...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.36, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.38, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.40, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.42, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.44, what is your statistical decision...Ch. 9 - The Washington Metropolitan Area Transit Authority...Ch. 9 - CarMD reports that after two years of flat U.S....Ch. 9 - Patient waiting is a common phenomenon the...Ch. 9 - You are the manager of a restaurant that delivers...Ch. 9 - A Survey of nonprofit organization showed that...Ch. 9 - The population mean waiting time to check out of a...Ch. 9 - If, a random sample of 400 items, 88 are...Ch. 9 - In Problem 9.52, if the null hypothesis is that 20...Ch. 9 - In Problem 9.52 and 9.53, suppose you are testing...Ch. 9 - According to a recent National Association of...Ch. 9 - The worldwide market share for the Chrome web...Ch. 9 - One of the issues facing organizations Is...Ch. 9 - What are companies’ biggest obstacles to...Ch. 9 - A cellphone provider has the business objective of...Ch. 9 - Actuation Consulting conducted a global survey of...Ch. 9 - What is the difference between a null hypothesis,...Ch. 9 - What is the difference between a Type I error and...Ch. 9 - What is meant by the power of a test?Ch. 9 - What is the difference between a one -tail test...Ch. 9 - What is meant by a p-value?Ch. 9 - How can a confidence interval estimate for the...Ch. 9 - What is the six-step critical value approach to...Ch. 9 - What is the five-step p-value approach to...Ch. 9 - In hypothesis testing, the common level of...Ch. 9 - Financial institutions utilize prediction models...Ch. 9 - IAB conducted a study of 821 U.S. adults to...Ch. 9 - The owner of a speciality coffee shop wants to...Ch. 9 - An auditor for a government agency was assigned...Ch. 9 - A bank branch located in a commercial district of...Ch. 9 - Call centers today play an important role in...Ch. 9 - An important quality characteristic used by the...Ch. 9 - Studies conducted by the manufacturer of Boston...Ch. 9 - The manufacturer of Boston and Vermont asphalt...Ch. 9 - Referring to the results of problems 9.76 through...
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