Statistics: Informed Decisions Using Data, Books a la Carte Edition plus NEW MyLab Statistics with Pearson eText-- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134136783
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 1.1, Problem 49AYU
(a)
To determine
The research objective.
(b)
To determine
The population under study.
(c)
To determine
The sample under study.
(d)
To determine
To identify: The
(e)
To determine
To infer: About the percentage of adults of America who believe that at least
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Question 2. An American option on a stock has payoff given by F = f(St) when it is exercised
at time t. We know that the function f is convex. A person claims that because of convexity,
it is optimal to exercise at expiration T. Do you agree with them?
Question 4. We consider a CRR model with So == 5 and up and down factors u = 1.03 and
d = 0.96. We consider the interest rate r = 4% (over one period). Is this a suitable CRR
model? (Explain your answer.)
Question 3. We want to price a put option with strike price K and expiration T. Two financial
advisors estimate the parameters with two different statistical methods: they obtain the same
return rate μ, the same volatility σ, but the first advisor has interest r₁ and the second advisor
has interest rate r2 (r1>r2). They both use a CRR model with the same number of periods to
price the option. Which advisor will get the larger price? (Explain your answer.)
Chapter 1 Solutions
Statistics: Informed Decisions Using Data, Books a la Carte Edition plus NEW MyLab Statistics with Pearson eText-- Access Card Package (5th Edition)
Ch. 1.1 - Vocabulary and Skill Building
1. Define...Ch. 1.1 - Vocabulary and Skill Building
2. Explain the...Ch. 1.1 - Vocabulary and Skill Building
3. A(n) ______ is a...Ch. 1.1 - Vocabulary and Skill Building
4. ______ statistics...Ch. 1.1 - Vocabulary and Skill Building
5. A(n) ______ is a...Ch. 1.1 - Vocabulary and Skill Building
6. ______ are the...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...
Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 7–14,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 15–22,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 23–30,...Ch. 1.1 - Prob. 31AYUCh. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Prob. 33AYUCh. 1.1 - Prob. 34AYUCh. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 31–38,...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 39–44, a...Ch. 1.1 - Vocabulary and Skill Building
In Problems 45 and...Ch. 1.1 - Vocabulary and Skill Building
In Problems 45 and...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Applying the...Ch. 1.1 - Vocabulary and Skill Building
Explaining the...Ch. 1.1 - Prob. 55AYUCh. 1.1 - Prob. 56AYUCh. 1.1 - Vocabulary and Skill Building
Explaining the...Ch. 1.1 - Vocabulary and Skill Building
Explaining the...Ch. 1.1 - Prob. 59AYUCh. 1.2 - Vocabulary and Skill Building
1. In your own...Ch. 1.2 - Vocabulary and Skill Building
2. What is an...Ch. 1.2 - Prob. 3AYUCh. 1.2 - Vocabulary and Skill Building
4. Given a choice,...Ch. 1.2 - Prob. 5AYUCh. 1.2 - Vocabulary and Skill Building
6. The data used in...Ch. 1.2 - Prob. 7AYUCh. 1.2 - Vocabulary and Skill Building
8. What does it mean...Ch. 1.2 - Prob. 9AYUCh. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Prob. 11AYUCh. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Prob. 15AYUCh. 1.2 - Vocabulary and Skill Building
In Problems 9–16,...Ch. 1.2 - Prob. 17AYUCh. 1.2 - Prob. 18AYUCh. 1.2 - Prob. 19AYUCh. 1.2 - Prob. 20AYUCh. 1.2 - Vocabulary and Skill Building
Applying the...Ch. 1.2 - Prob. 22AYUCh. 1.2 - Prob. 23AYUCh. 1.2 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
1. What is a frame?
Ch. 1.3 - Vocabulary and Skill Building
2. Define simple...Ch. 1.3 - Vocabulary and Skill Building
3. What does it mean...Ch. 1.3 - Vocabulary and Skill Building
4. What is random...Ch. 1.3 - Vocabulary and Skill Building
5. Literature As...Ch. 1.3 - Vocabulary and Skill Building
6. Team Captains A...Ch. 1.3 - Vocabulary and Skill Building
NW 7. Course...Ch. 1.3 - Vocabulary and Skill Building
8. Merit Badge...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Vocabulary and Skill Building
Applying the...Ch. 1.3 - Prob. 16AYUCh. 1.4 - Vocabulary and Skill Building
1. Describe a...Ch. 1.4 - Vocabulary and Skill Building
2. Which sampling...Ch. 1.4 - Vocabulary and Skill Building
3. Why are...Ch. 1.4 - Vocabulary and Skill Building
4. A(n) ______...Ch. 1.4 - Vocabulary and Skill Building
5. A(n) ______...Ch. 1.4 - Vocabulary and Skill Building
6. True or False:...Ch. 1.4 - Vocabulary and Skill Building
7. True or False: A...Ch. 1.4 - Vocabulary and Skill Building
8. True or False:...Ch. 1.4 - Vocabulary and Skill Building
9. True or False:...Ch. 1.4 - Vocabulary and Skill Building
10. True or False:...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Prob. 16AYUCh. 1.4 - Prob. 17AYUCh. 1.4 - Prob. 18AYUCh. 1.4 - Prob. 19AYUCh. 1.4 - Prob. 20AYUCh. 1.4 - Vocabulary and Skill Building
In Problems 11–22,...Ch. 1.4 - Prob. 22AYUCh. 1.4 - Prob. 23AYUCh. 1.4 - Vocabulary and Skill Building
24. A...Ch. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 26AYUCh. 1.4 - Prob. 27AYUCh. 1.4 - Prob. 28AYUCh. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 30AYUCh. 1.4 - Prob. 31AYUCh. 1.4 - Prob. 32AYUCh. 1.4 - Prob. 33AYUCh. 1.4 - Prob. 34AYUCh. 1.4 - Prob. 35AYUCh. 1.4 - Prob. 36AYUCh. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 38AYUCh. 1.4 - Vocabulary and Skill Building
Applying the...Ch. 1.4 - Prob. 40AYUCh. 1.5 - Vocabulary and Skill Building
1. What is a closed...Ch. 1.5 - Vocabulary and Skill Building
2. What does it mean...Ch. 1.5 - Vocabulary and Skill Building
3. What is bias?...Ch. 1.5 - Vocabulary and Skill Building
4. Distinguish...Ch. 1.5 - Vocabulary and Skill Building
5. A retail store...Ch. 1.5 - Prob. 6AYUCh. 1.5 - Vocabulary and Skill Building
7. An antigun...Ch. 1.5 - Vocabulary and Skill Building
8. Suppose you are...Ch. 1.5 - Prob. 9AYUCh. 1.5 - Vocabulary and Skill Building
10. Cold Stone...Ch. 1.5 - Prob. 11AYUCh. 1.5 - Prob. 12AYUCh. 1.5 - Prob. 13AYUCh. 1.5 - Prob. 14AYUCh. 1.5 - Vocabulary and Skill Building
15. Suppose you are...Ch. 1.5 - Vocabulary and Skill Building
16. To determine the...Ch. 1.5 - Prob. 17AYUCh. 1.5 - Prob. 18AYUCh. 1.5 - Prob. 19AYUCh. 1.5 - 20. Order of the Questions Consider the following...Ch. 1.5 - Prob. 21AYUCh. 1.5 - Prob. 22AYUCh. 1.5 - Prob. 23AYUCh. 1.5 - Prob. 24AYUCh. 1.5 - Prob. 25AYUCh. 1.5 - 26. Current Population Survey In the federal...Ch. 1.5 - Prob. 27AYUCh. 1.5 - 28. Write Your Own Survey Develop a survey that...Ch. 1.5 - Prob. 29AYUCh. 1.5 - 30. Wording Survey Questions Write a survey...Ch. 1.5 - Prob. 31AYUCh. 1.5 - Prob. 32AYUCh. 1.5 - Prob. 33AYUCh. 1.5 - Prob. 34AYUCh. 1.5 - Prob. 35AYUCh. 1.5 - Prob. 36AYUCh. 1.5 - Prob. 37AYUCh. 1.5 - Prob. 38AYUCh. 1.5 - Prob. 39AYUCh. 1.5 - Prob. 40AYUCh. 1.5 - Prob. 41AYUCh. 1.5 - Prob. 42AYUCh. 1.5 - 43. Suppose a survey asks, "Do you own any CDs?"...Ch. 1.5 - 44. Discuss a possible advantage of offering...Ch. 1.6 - 1. Define the following:
(a) Experimental unit
(b)...Ch. 1.6 - 2. What is replication in an experiment?
Ch. 1.6 - 3. Explain the difference between a single-blind...Ch. 1.6 - 4. A(n) ______ ______ design is one in which each...Ch. 1.6 - 5. Grouping together similar experimental units...Ch. 1.6 - Prob. 6AYUCh. 1.6 - Prob. 7AYUCh. 1.6 - 8. Alcohol Dependence To determine if topiramate...Ch. 1.6 - 9. School Psychology A school psychologist wants...Ch. 1.6 - Prob. 10AYUCh. 1.6 - Prob. 11AYUCh. 1.6 - 12. Assessment To help assess student learning in...Ch. 1.6 - Prob. 13AYUCh. 1.6 - Prob. 14AYUCh. 1.6 - Prob. 15AYUCh. 1.6 - Prob. 16AYUCh. 1.6 - 17. Dominant Hand Professor Andy Neill wanted to...Ch. 1.6 - Prob. 18AYUCh. 1.6 - Prob. 19AYUCh. 1.6 - Prob. 20AYUCh. 1.6 - 21. Drug Effectiveness A pharmaceutical company...Ch. 1.6 - 22. Effects of Alcohol A researcher has recruited...Ch. 1.6 - 23. Green Tea You wonder whether green tea lowers...Ch. 1.6 - Prob. 24AYUCh. 1.6 - Prob. 25AYUCh. 1.6 - Prob. 26AYUCh. 1.6 - Prob. 27AYUCh. 1.6 - Prob. 28AYUCh. 1.6 - Prob. 29AYUCh. 1.6 - Prob. 30AYUCh. 1.6 - Prob. 31AYUCh. 1.6 - Prob. 32AYUCh. 1.6 - Prob. 33AYUCh. 1.6 - Prob. 34AYUCh. 1.6 - Prob. 35AYUCh. 1.6 - Prob. 36AYUCh. 1 - Prob. 1RECh. 1 - In Problems 1–5, provide a definition using your...Ch. 1 - In Problems 1–5, provide a definition using your...Ch. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - 6. List and describe the three major types of...Ch. 1 - Prob. 7RECh. 1 - 8. List and explain the three sources of bias in...Ch. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - In Problems 23–26, determine the type of sampling...Ch. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - 1. List the four components that comprise the...Ch. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - In Problems 3–5, determine if the variable is...Ch. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - 12. A cellular phone company is looking for ways...Ch. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 1CSCh. 1 - Prob. 2CSCh. 1 - Prob. 3CSCh. 1 - Prob. 4CS
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- Question 5. We consider a put option with strike price K and expiration T. This option is priced using a 1-period CRR model. We consider r > 0, and σ > 0 very large. What is the approximate price of the option? In other words, what is the limit of the price of the option as σ∞. (Briefly justify your answer.)arrow_forwardQuestion 6. You collect daily data for the stock of a company Z over the past 4 months (i.e. 80 days) and calculate the log-returns (yk)/(-1. You want to build a CRR model for the evolution of the stock. The expected value and standard deviation of the log-returns are y = 0.06 and Sy 0.1. The money market interest rate is r = 0.04. Determine the risk-neutral probability of the model.arrow_forwardSeveral markets (Japan, Switzerland) introduced negative interest rates on their money market. In this problem, we will consider an annual interest rate r < 0. We consider a stock modeled by an N-period CRR model where each period is 1 year (At = 1) and the up and down factors are u and d. (a) We consider an American put option with strike price K and expiration T. Prove that if <0, the optimal strategy is to wait until expiration T to exercise.arrow_forward
- We consider an N-period CRR model where each period is 1 year (At = 1), the up factor is u = 0.1, the down factor is d = e−0.3 and r = 0. We remind you that in the CRR model, the stock price at time tn is modeled (under P) by Sta = So exp (μtn + σ√AtZn), where (Zn) is a simple symmetric random walk. (a) Find the parameters μ and σ for the CRR model described above. (b) Find P Ste So 55/50 € > 1). StN (c) Find lim P 804-N (d) Determine q. (You can use e- 1 x.) Ste (e) Find Q So (f) Find lim Q 004-N StN Soarrow_forwardIn this problem, we consider a 3-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year. The interest rate is r = 0%. 16 22 28 12 16 12 8 4 2 time Figure 1: Stock evolution for Problem 1. (a) A colleague notices that in the model above, a movement up-down leads to the same value as a movement down-up. He concludes that the model is a CRR model. Is your colleague correct? (Explain your answer.) (b) We consider a European put with strike price K = 10 and expiration T = 3 years. Find the price of this option at time 0. Provide the replicating portfolio for the first period. (c) In addition to the call above, we also consider a European call with strike price K = 10 and expiration T = 3 years. Which one has the highest price? (It is not necessary to provide the price of the call.) (d) We now assume a yearly interest rate r = 25%. We consider a Bermudan put option with strike price K = 10. It works like a standard put, but you can exercise it…arrow_forwardIn this problem, we consider a 2-period stock market model with evolution given in Fig. 1 below. Each period corresponds to one year (At = 1). The yearly interest rate is r = 1/3 = 33%. This model is a CRR model. 25 15 9 10 6 4 time Figure 1: Stock evolution for Problem 1. (a) Find the values of up and down factors u and d, and the risk-neutral probability q. (b) We consider a European put with strike price K the price of this option at time 0. == 16 and expiration T = 2 years. Find (c) Provide the number of shares of stock that the replicating portfolio contains at each pos- sible position. (d) You find this option available on the market for $2. What do you do? (Short answer.) (e) We consider an American put with strike price K = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe the optimal exercising strategy. (f) We consider an American call with strike price K ○ = 16 and expiration T = 2 years. Find the price of this option at time 0 and describe…arrow_forward
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