An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
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Chapter 3.11, Problem 55SE
a.
To determine
Find the
b.
To determine
Find the mean for the expenditure
c.
To determine
Explain a method that the mean for the combined data set would be obtained from the five individual means.
d.
To determine
Explain the relation among the mean expenditures for the five groups
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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 3 Solutions
An Introduction to Statistical Methods and Data Analysis
Ch. 3.11 - The U.S. government spent more than $3.6 trillion...Ch. 3.11 - The type of vehicle the U.S public purchases...Ch. 3.11 - It has been reported that there has been a change...Ch. 3.11 - The regulations of the board of health in a...Ch. 3.11 - The National Highway Traffic Safety Administration...Ch. 3.11 - Prob. 6ECh. 3.11 - The survival times (in months) for two treatments...Ch. 3.11 - Combine the data from the separate therapies in...Ch. 3.11 - Prob. 9ECh. 3.11 - The following table presents homeownership rates,...
Ch. 3.11 - Prob. 11ECh. 3.11 - Prob. 12ECh. 3.11 - A supplier of high-quality audio equipment for...Ch. 3.11 - Prob. 14ECh. 3.11 - Compute the mean, median, and mode for the...Ch. 3.11 - Prob. 16ECh. 3.11 - Prob. 17ECh. 3.11 - Prob. 18ECh. 3.11 - A study of the reliability of buses [Large Sample...Ch. 3.11 - Prob. 20ECh. 3.11 - Prob. 21ECh. 3.11 - A study of the survival times, in days, of skin...Ch. 3.11 - Prob. 23ECh. 3.11 - Prob. 24ECh. 3.11 -
Refer to Exercise 3.24. Average the three group...Ch. 3.11 -
Pushing economy and wheelchair-propulsion...Ch. 3.11 - Prob. 27ECh. 3.11 - Prob. 28ECh. 3.11 -
The treatment times (in minutes) for patients at...Ch. 3.11 - To assist in estimating the amount of lumber in a...Ch. 3.11 -
Consumer Reports in its June 1998 issue reports...Ch. 3.11 - Many marine phanerogam species are highly...Ch. 3.11 - Prob. 33ECh. 3.11 - The following data are the resting pulse rates for...Ch. 3.11 - Consumer Reports in its May 1998 issue provides...Ch. 3.11 - Prob. 36ECh. 3.11 - Prob. 37ECh. 3.11 - Prob. 38ECh. 3.11 - In the paper “Demographic Implications of...Ch. 3.11 - Prob. 40ECh. 3.11 - Prob. 41ECh. 3.11 - Prob. 42ECh. 3.11 - Prob. 43SECh. 3.11 - Prob. 44SECh. 3.11 - Prob. 45SECh. 3.11 - Prob. 46SECh. 3.11 - Prob. 47SECh. 3.11 - Prob. 48SECh. 3.11 - A random sample of 90 standard metropolitan...Ch. 3.11 - Prob. 50SECh. 3.11 - Prob. 51SECh. 3.11 - Prob. 52SECh. 3.11 - Prob. 53SECh. 3.11 - The Insurance Institute for Highway Safety...Ch. 3.11 - Prob. 55SECh. 3.11 - Prob. 56SECh. 3.11 -
Federal authorities have destroyed considerable...Ch. 3.11 - The most widely reported index of the performance...Ch. 3.11 - As one part of a review of middle-manager...Ch. 3.11 - Prob. 60SECh. 3.11 - Prob. 61SECh. 3.11 - Prob. 62SECh. 3.11 - The correlations computed for the six variables in...Ch. 3.11 - Prob. 64SECh. 3.11 - Prob. 65SECh. 3.11 - Prob. 66SECh. 3.11 - Prob. 67SECh. 3.11 - Prob. 68SECh. 3.11 - Prob. 69SECh. 3.11 - Prob. 70SECh. 3.11 - Prob. 71SECh. 3.11 -
Refer to the data in Exercise 3.69.
Construct a...Ch. 3.11 - Prob. 73SECh. 3.11 - Prob. 74SECh. 3.11 - Prob. 75SECh. 3.11 - Prob. 76SECh. 3.11 - Prob. 77SECh. 3.11 - Prob. 78SECh. 3.11 - Prob. 79SECh. 3.11 - Prob. 80SE
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