Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 1P
The American League consists of 15 baseball teams. Suppose a sample of 5 teams is to be selected to conduct player interviews. The following table lists the 15 teams and the random numbers assigned by Excel’s RAND
Expert Solution & Answer
To determine
Select a random sample size 5.
Answer to Problem 1P
The simple random sample consists of Team Ne, Team De, Team Oa, Team Bo, and Team Ka.
Explanation of Solution
The ascending order of random number is given below:
| Team | Random Number |
| Ne | 0.178624 |
| De | 0.253574 |
| Oa | 0.288287 |
| Bo | 0.290197 |
| Ka | 0.326836 |
| Te | 0.500879 |
| Ch | 0.562178 |
| Ba | 0.57837 |
| Ho | 0.713682 |
| Mi | 0.81181 |
| Se | 0.839071 |
| Ta | 0.867778 |
| Lo | 0.895267 |
| To | 0.965807 |
The simple random sample consists of least 5 random numbers.
Therefore, the simple random sample of size 5 is Team Ne, Team De, Team Oa, Team Bo, and Team Ka
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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 6 Solutions
Essentials of Business Analytics (MindTap Course List)
Ch. 6 - The American League consists of 15 baseball teams....Ch. 6 - The U.S. Golf Association is considering a ban on...Ch. 6 - A simple random sample of 5 months of sales data...Ch. 6 - Morningstar publishes ratings data on 1,208...Ch. 6 - One of the questions in the Pew Internet &...Ch. 6 - In this chapter we showed how a simple random...Ch. 6 - The College Board reported the following mean...Ch. 6 - Prob. 8PCh. 6 - The Economic Policy Institute periodically issues...Ch. 6 - The state of California has a mean annual rainfall...
Ch. 6 - The president of Doerman Distributors, Inc.,...Ch. 6 - Prob. 12PCh. 6 - People end up tossing 12% of what they buy at the...Ch. 6 - Prob. 14PCh. 6 - The International Air Transport Association...Ch. 6 - Prob. 16PCh. 6 - Health insurers are beginning to offer...Ch. 6 - The average annual premium for automobile...Ch. 6 - Prob. 19PCh. 6 - According to Thomson Financial, last year the...Ch. 6 - The Pew Research Center Internet Project conducted...Ch. 6 - For many years businesses have struggled with the...Ch. 6 - The manager of the Danvers-Hilton Resort Hotel...Ch. 6 - The manager of an automobile dealership is...Ch. 6 - A production line operation is designed to fill...Ch. 6 - Because of high production-changeover time and...Ch. 6 - Duke Energy reported that the cost of electricity...Ch. 6 - Prob. 28PCh. 6 - Carpetland salespersons average 8,000 per week in...Ch. 6 - Suppose a new production method will be...Ch. 6 - Prob. 31PCh. 6 - A shareholders’ group, in lodging a protest,...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - According to the National Automobile Dealers...Ch. 6 - What percentage of the population live in their...Ch. 6 - Prob. 38PCh. 6 - Ten years ago 53% of American families owned...Ch. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - The Port Authority sells a wide variety of cables...Ch. 6 - The Port Authority also wants to determine if the...Ch. 6 - Prob. 1C
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