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 5, Problem 58PS
a.
To determine
Find the
b.
To determine
Find the probability that exactly 5 medical bills will contain errors.
c.
To determine
Find the probability that more than 5 bills will contain errors.
d.
To determine
Find the mean and standard deviation of the given probability distribution.
e.
To determine
Compare the results from (a) through (c) with problem 5.37.
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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 5 Solutions
Student Solutions Manual for Basic Business Statistics
Ch. 5 - Given the following probability distribution: a....Ch. 5 - Prob. 2PSCh. 5 - Recently , a regional automobile dealership sent...Ch. 5 - In the carnival game Under-or -Over-Seven, a pair...Ch. 5 - Prob. 5PSCh. 5 - Prob. 6PSCh. 5 - Prob. 7PSCh. 5 - Given the following probability distribution for...Ch. 5 - Prob. 9PSCh. 5 - The process of being served at a bank consists of...
Ch. 5 - In the portfolio example in this section (see page...Ch. 5 - Prob. 12PSCh. 5 - Prob. 13PSCh. 5 - Prob. 14PSCh. 5 - Suppose that in Example 5.1 on page 193, you...Ch. 5 - Prob. 16PSCh. 5 - Suppose that in Problem 5.16 you wanted to create...Ch. 5 - Determine the following:...Ch. 5 - Prob. 19PSCh. 5 - Determine the mean and standard deviation of the...Ch. 5 - The increase or decrease in the price of a stock...Ch. 5 - Prob. 22PSCh. 5 - Prob. 23PSCh. 5 - A manufacturing company regularly conducts quality...Ch. 5 - When a customer places an order with Rudy’s...Ch. 5 - Prob. 26PSCh. 5 - In Example 5.5 on page 200, you and two friends...Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution with =5.0. What is...Ch. 5 - Prob. 31PSCh. 5 - The quality control manager of Marilyn’s Cookies...Ch. 5 - Refer to Problem 5.22. How many cookies in a batch...Ch. 5 - Prob. 34PSCh. 5 - Prob. 35PSCh. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - J.D. Power and Associates calculates and publishes...Ch. 5 - Prob. 38PSCh. 5 - Prob. 39PSCh. 5 - Refer to Problem 5.27. if you purchased a Toyota...Ch. 5 - A toll-free phone number is available from 9 A.M....Ch. 5 - Prob. 42PSCh. 5 - Prob. 43PSCh. 5 - An auditor for the Internal Revenue Service is...Ch. 5 - Prob. 45PSCh. 5 - Prob. 46PSCh. 5 - Prob. 47PSCh. 5 - Prob. 48PSCh. 5 - Prob. 49PSCh. 5 - What are the four properties that must be present...Ch. 5 - Prob. 51PSCh. 5 - Prob. 52PSCh. 5 - Darwin Head, a 35-year-old sawmill worker, won 1...Ch. 5 - Between 1896-when the Dow Jones index was...Ch. 5 - Smartphone adoption among American teens has...Ch. 5 - One theory concerning the Dow jones industrial...Ch. 5 - Prob. 57PSCh. 5 - Prob. 58PSCh. 5 - Social log-ins involve recommending of sharing an...Ch. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - Prob. 61PSCh. 5 - One theory concerning the...Ch. 5 - Spurious correlation refers to the apparent...Ch. 5 - Prob. 64PSCh. 5 - Prob. 65PS
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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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