Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
7th Edition
ISBN: 9781337298353
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: South-Western College Pub
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Chapter 3.3, Problem 40E
To determine
(a)
To find:
Percentage of regular gasoline sold within given sample using mathematical methodologies.
To determine
(b)
To find:
Percentage of regular gasoline sold within given sample using mathematical methodologies.
To determine
(c)
To find:
Percentage of regular gasoline sold within given sample using mathematical methodologies.
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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
Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
Ch. 3.1 - Consider a sample with data values of 10, 20, 12,...Ch. 3.1 - Consider a sample with data values of 10, 20, 21,...Ch. 3.1 - Consider the following data and corresponding...Ch. 3.1 - Consider the following data. What is the mean...Ch. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - The average number of minutes Americans commute to...Ch. 3.1 - The WWI Street Journal reported that the median...Ch. 3.1 - Which companies spend the most money on...Ch. 3.1 - Prob. 10E
Ch. 3.1 - According to the National Education Association...Ch. 3.1 - The Big Bang Theory, a situation comedy featuring...Ch. 3.1 - In automobile mileage and gasoline-consumption...Ch. 3.1 - Prob. 14ECh. 3.1 - Martinez Auto Supplies has retail stores located...Ch. 3.1 - The grade point average for college students is...Ch. 3.1 - The following table shows the total return and the...Ch. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - If an asset declines in value from $5000 to $3500...Ch. 3.1 - The current value of a company is $25 million. If...Ch. 3.2 - Consider a sample with data values of 10, 20, 12,...Ch. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Data collected by the Oil Price Information...Ch. 3.2 - The results of a search to find the least...Ch. 3.2 - The Australian Open is the first of the four Grand...Ch. 3.2 - Prob. 29ECh. 3.2 - The following data were used to construct the...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Scores turned in by an amateur golfer at the...Ch. 3.2 - The following times were recorded by the...Ch. 3.3 - Consider a sample with data values of 10, 20, 12,...Ch. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - The results of a national survey showed that on...Ch. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Many families in California are using backyard...Ch. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - The Wall Street Journal reported that Walmart...Ch. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Naples, Florida hosts a half-marathon (13.1 -mile...Ch. 3.4 - Annual sales, in millions of dollars, for 21...Ch. 3.4 - Consumer Reports provided overall customer...Ch. 3.4 - Fortune magazine's list of the world's most...Ch. 3.4 - Prob. 54ECh. 3.5 - Five observations taken for two variables follow...Ch. 3.5 - Five observations taken for two variables follow...Ch. 3.5 - Prob. 57ECh. 3.5 - A department of transportation's study on driving...Ch. 3.5 - Over the past 40 years, the percentage of homes in...Ch. 3.5 - Prob. 60ECh. 3.5 - A random sample of 30 colleges from Kiplinger's...Ch. 3 - The average number of times Americans dine out in...Ch. 3 - Prob. 63SECh. 3 - The average waiting time for a patient at an El...Ch. 3 - U.S. companies lose $63.2 billion per year from...Ch. 3 - Prob. 66SECh. 3 - Public transportation and the automobile are two...Ch. 3 - In 2007 the New York Times reported that the...Ch. 3 - Prob. 69SECh. 3 - Travel + Leisure magazine presented its annual...Ch. 3 - The 32 teams in the National Football League (NFL)...Ch. 3 - Does a major league baseball team's record during...Ch. 3 - The days to maturity for a sample of five money...Ch. 3 - Automobiles traveling on a road with a posted...Ch. 3 - The Panama Railroad Company was established in...Ch. 3 - Case Problem 1 Pelican Stores Pelican S to res, a...Ch. 3 - Case Problem 1 Pelican Stores Pelican S to res, a...Ch. 3 - Problem 2Motion Picture Industry The motion...Ch. 3 - Case Problem 2 Motion Picture Industry The motion...Ch. 3 - Case Problem 2 Motion Picture Industry The motion...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 5 African Elephant Populations...Ch. 3 - Case Problem 5 African Elephant Populations...Ch. 3 - Case Problem 5 African Elephant Populations...
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