Student Solutions Manual for Basic Business Statistics
13th Edition
ISBN: 9780321926708
Author: David M. Levine; Mark L. Berenson; Timothy C. Krehbiel; Kathryn A. Szabat; David F. Stephan
Publisher: Pearson Education
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Chapter 2, Problem 91PS
a.
To determine
Determine a frequency distribution and a percentage distribution.
b.
To determine
Draw a histogram and percentage
c.
To determine
Determine the cumulative percentage distribution and plot a cumulative percentage polygon.
d.
To determine
Write the conclusion about the CEO-Compensation in 2012.
e.
To determine
Construct the
f.
To determine
Determine the relationship between the total compensation and the investment return in 2012.
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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 2 Solutions
Student Solutions Manual for Basic Business Statistics
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Ch. 2 - Construct an ordered array, given the following...Ch. 2 - Construct an ordered array, given the following...Ch. 2 - Prob. 13PSCh. 2 - Prob. 14PSCh. 2 - Prob. 15PSCh. 2 - The file Utility contains the following data about...Ch. 2 - How much time do commuters living in or near...Ch. 2 - How do the average credit scores of people living...Ch. 2 - One operation of a mill is to cut pieces of steel...Ch. 2 - Prob. 20PSCh. 2 - Prob. 21PSCh. 2 - Prob. 22PSCh. 2 - The file Drink Contains the following data for the...Ch. 2 - Prob. 24PSCh. 2 - Prob. 25PSCh. 2 - Prob. 26PSCh. 2 - Prob. 27PSCh. 2 - Prob. 28PSCh. 2 - Prob. 29PSCh. 2 - Prob. 30PSCh. 2 - Prob. 31PSCh. 2 - Do special recommendations increase ad...Ch. 2 - Construct a stern-and-leaf display, given the...Ch. 2 - Construct an ordered array, given the following...Ch. 2 - The following is a stern-and0-leaf display...Ch. 2 - Prob. 36PSCh. 2 - The file MobileSpeed contains the overall download...Ch. 2 - The file Utility contains the following data about...Ch. 2 - Prob. 39PSCh. 2 - Prob. 40PSCh. 2 - How much time do Americans living in or near...Ch. 2 - How do the average credit scores of people living...Ch. 2 - One operation of a mill is to cut pieces of steel...Ch. 2 - Prob. 44PSCh. 2 - Prob. 45PSCh. 2 - Prob. 46PSCh. 2 - The data stored in Drink represents the amount of...Ch. 2 - The following is a set of data from a sample of...Ch. 2 - Prob. 49PSCh. 2 - Movie companies need to predict the gross receipts...Ch. 2 - Data were collected on the typical cost of dining...Ch. 2 - Prob. 52PSCh. 2 - Prob. 53PSCh. 2 - How have stocks performed in the past? The...Ch. 2 - Prob. 55PSCh. 2 - Prob. 56PSCh. 2 - The file Audits contains the number of audits of...Ch. 2 - Prob. 58PSCh. 2 - Prob. 59PSCh. 2 - Prob. 60PSCh. 2 - Using the sample of retirement funds stored in...Ch. 2 - Prob. 65PSCh. 2 - Prob. 66PSCh. 2 - Examine the following visualization, adapted from...Ch. 2 - Prob. 69PSCh. 2 - Prob. 70PSCh. 2 - How do histograms and polygons differ in...Ch. 2 - Why would you construct a summary table?Ch. 2 - What are the advantages and disadvantage of using...Ch. 2 - Compare and contrast the bar chart for categorical...Ch. 2 - What is the difference between a time-series plot...Ch. 2 - Why is it said that the main feature of a Pareto...Ch. 2 - What are the three different ways to break down...Ch. 2 - How can a multidimensional table differ from a...Ch. 2 - What type of insights can you gain from a...Ch. 2 - The following summary, table, presents the...Ch. 2 - The following table represents the market share...Ch. 2 - Prob. 82PSCh. 2 - The owner of a restaurant that services...Ch. 2 - Prob. 84PSCh. 2 - The following data represents the pounds per...Ch. 2 - Prob. 86PSCh. 2 - One of the major measures of the quality of...Ch. 2 - Prob. 88PSCh. 2 - Prob. 89PSCh. 2 - Prob. 90PSCh. 2 - Prob. 91PSCh. 2 - Prob. 92PSCh. 2 - What was the average price of a room at two-star,...Ch. 2 - The file Protein contains calorie and cholesterol...Ch. 2 - The file Natural Gas contains the U.S. monthly...Ch. 2 - Prob. 96PSCh. 2 - Prob. 97PSCh. 2 - A/B testing allows business to test a new design...
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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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