Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 9, Problem 3DA
To determine
To test: Whether there is a difference between the proportion of men who are smokers and the proportion of women who are smokers.
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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 9 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 9.1 - Home Runs For a sports radio talk show, you are...Ch. 9.1 - Explain the difference between testing a single...Ch. 9.1 - When a researcher selects all possible pairs of...Ch. 9.1 - What three assumptions must be met when you are...Ch. 9.1 - Show two different ways to state that the means of...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...
Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Prob. 13ECh. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Self-Esteem Scores In a study of a group of women...Ch. 9.1 - Ages of College Students The dean of students...Ch. 9.1 - Working Breath Rate Two random samples of 32...Ch. 9.1 - Traveling Distances Find the 95% confidence...Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Television Watching The average number of hours of...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - Prob. 23ECh. 9.1 - Home Prices According to the almanac, the average...Ch. 9.1 - Exam Scores at Private and Public Schools A...Ch. 9.1 - Sale Prices for Houses The average sales price of...Ch. 9.1 - Average Earnings for College Graduates The average...Ch. 9.2 - Too Long on the Telephone A company collects data...Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - Prob. 9ECh. 9.2 - Find the 95% confidence interval for the...Ch. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Ages of Homes Whiting, Indiana, leads the Top 100...Ch. 9.2 - Prob. 17ECh. 9.2 - Out-of-State Tuitions The out-of-state tuitions...Ch. 9.2 - Gasoline Prices A random sample of monthly...Ch. 9.2 - For these exercises, perform each of these steps....Ch. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.3 - Air Quality As a researcher for the EPA, you have...Ch. 9.3 - Classify each as independent or dependent samples....Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - Toy Assembly Test An educational researcher...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - For Exercises 2 through 12, perform each of these...Ch. 9.3 - Prob. 13ECCh. 9.4 - Smoking and Education You are researching the...Ch. 9.4 - Prob. 1ECh. 9.4 - Find p and q for each. a. n = 36, X = 20 b. n =...Ch. 9.4 - Prob. 3ECh. 9.4 - Find each X, given p. a. p = 0.24, n = 300 b. p =...Ch. 9.4 - Prob. 5ECh. 9.4 - Find p and q. a. X1 = 6, n1 = 15, X2 = 9, n2 = 15...Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - Leisure Time In a sample of 150 men, 132 said that...Ch. 9.4 - Prob. 9ECh. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 11ECh. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 13ECh. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 15ECh. 9.4 - Smoking Survey National statistics show that 23%...Ch. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - For Exercises 7 through 27, perform each of these...Ch. 9.4 - Prob. 19ECh. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - For Exercises 7 through 27, perform these steps....Ch. 9.4 - Prob. 28ECCh. 9.5 - Automatic Transmissions Assume the following data...Ch. 9.5 - When one is computing the F test value, what...Ch. 9.5 - Why is the critical region always on the right...Ch. 9.5 - What are the two different degrees of freedom...Ch. 9.5 - What are the characteristics of the F...Ch. 9.5 - Prob. 5ECh. 9.5 - Using Table H, find the critical value for each....Ch. 9.5 - Prob. 7ECh. 9.5 - Using Table H, find the P-value interval for each...Ch. 9.5 - Prob. 9ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 13ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 17ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - Prob. 21ECh. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9.5 - For Exercises 9 through 24, perform the following...Ch. 9 - For each exercise, perform these steps. Assume...Ch. 9 - Prob. 9.1.2RECh. 9 - Prob. 9.2.3RECh. 9 - Prob. 9.2.4RECh. 9 - For each exercise, perform these steps. Assume...Ch. 9 - For each exercise, perform these steps. Assume...Ch. 9 - High and Low Temperatures March is a month of...Ch. 9 - Testing After Review A statistics class was given...Ch. 9 - Lay Teachers in Religious Schools A study found a...Ch. 9 - Prob. 9.4.10RECh. 9 - Prob. 9.5.11RECh. 9 - Heights of World Famous Cathedrals The heights (in...Ch. 9 - Prob. 9.5.13RECh. 9 - Prob. 1DACh. 9 - Prob. 2DACh. 9 - Prob. 3DACh. 9 - Prob. 4DACh. 9 - Prob. 5DACh. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - To test the equality of two proportions, you would...Ch. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Complete these statements with the best answer. 9....Ch. 9 - Prob. 10CQCh. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - For these exercises, perform each of these steps....Ch. 9 - Prob. 18CQCh. 9 - Prob. 19CQCh. 9 - Mathematical Skills In an effort to improve the...Ch. 9 - Prob. 21CQCh. 9 - Prob. 22CQCh. 9 - Prob. 23CQCh. 9 - Prob. 24CQCh. 9 - Prob. 25CQ
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- 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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