Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 19, Problem 12PS
a.
To determine
Construct the appropriate control charts and determine LCL and UCL.
b.
To determine
Determine whether there is any special cause of variation.
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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 19 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 19 - Prob. 1PSCh. 19 - Prob. 2PSCh. 19 - Prob. 3PSCh. 19 - Prob. 4PSCh. 19 - Prob. 5PSCh. 19 - Prob. 6PSCh. 19 - Prob. 7PSCh. 19 - Prob. 8PSCh. 19 - Prob. 9PSCh. 19 - Prob. 11PS
Ch. 19 - Prob. 12PSCh. 19 - Prob. 13PSCh. 19 - Prob. 14PSCh. 19 - Prob. 15PSCh. 19 - Prob. 16PSCh. 19 - Prob. 17PSCh. 19 - Prob. 18PSCh. 19 - Prob. 19PSCh. 19 - Prob. 20PSCh. 19 - Prob. 21PSCh. 19 - The manager of a branch of a local bank has the...Ch. 19 - Prob. 23PSCh. 19 - Prob. 24PSCh. 19 - The data in Tensile represent the tensile...Ch. 19 - Prob. 26PSCh. 19 - Prob. 27PSCh. 19 - A manufacturing company makes brackets for book...Ch. 19 - Prob. 29PSCh. 19 - Prob. 30PSCh. 19 - Prob. 31PSCh. 19 - Prob. 32PSCh. 19 - Prob. 33PSCh. 19 - Prob. 34PSCh. 19 - Refer to Problem 19.22 concerning waiting time for...Ch. 19 - Prob. 36PSCh. 19 - Prob. 37PSCh. 19 - Prob. 38PSCh. 19 - Prob. 39PSCh. 19 - What is the difference between attribute control...Ch. 19 - Prob. 41PSCh. 19 - Prob. 42PSCh. 19 - Prob. 43PSCh. 19 - Prob. 44PSCh. 19 - Prob. 45PSCh. 19 - Prob. 46PSCh. 19 - Suppose that you have been hired as a summer...Ch. 19 - Prob. 48PSCh. 19 - Prob. 49PSCh. 19 - Prob. 50PSCh. 19 - Prob. 51PSCh. 19 - Prob. 52PSCh. 19 - Prob. 53PSCh. 19 - Prob. 54PSCh. 19 - Prob. 55PS
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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
- 2.2, 13.2-13.3) question: 5 point(s) possible ubmit test The accompanying table contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 20 oz of soda. Use the sign test and 0.05 significance level to test the claim that cans of this soda are filled so that the median amount is 20 oz. If the median is not 20 oz, are consumers being cheated? Click the icon to view the data. What are the null and alternative hypotheses? OA. Ho: Medi More Info H₁: Medi OC. Ho: Medi H₁: Medi Volume (in ounces) 20.3 20.1 20.4 Find the test stat 20.1 20.5 20.1 20.1 19.9 20.1 Test statistic = 20.2 20.3 20.3 20.1 20.4 20.5 Find the P-value 19.7 20.2 20.4 20.1 20.2 20.2 P-value= (R 19.9 20.1 20.5 20.4 20.1 20.4 Determine the p 20.1 20.3 20.4 20.2 20.3 20.4 Since the P-valu 19.9 20.2 19.9 Print Done 20 oz 20 oz 20 oz 20 oz ce that the consumers are being cheated.arrow_forwardT Teenage obesity (O), and weekly fast-food meals (F), among some selected Mississippi teenagers are: Name Obesity (lbs) # of Fast-foods per week Josh 185 10 Karl 172 8 Terry 168 9 Kamie Andy 204 154 12 6 (a) Compute the variance of Obesity, s²o, and the variance of fast-food meals, s², of this data. [Must show full work]. (b) Compute the Correlation Coefficient between O and F. [Must show full work]. (c) Find the Coefficient of Determination between O and F. [Must show full work]. (d) Obtain the Regression equation of this data. [Must show full work]. (e) Interpret your answers in (b), (c), and (d). (Full explanations required). Edit View Insert Format Tools Tablearrow_forwardThe average miles per gallon for a sample of 40 cars of model SX last year was 32.1, with a population standard deviation of 3.8. A sample of 40 cars from this year’s model SX has an average of 35.2 mpg, with a population standard deviation of 5.4. Find a 99 percent confidence interval for the difference in average mpg for this car brand (this year’s model minus last year’s).Find a 99 percent confidence interval for the difference in average mpg for last year’s model minus this year’s. What does the negative difference mean?arrow_forward
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