Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
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Textbook Question
Chapter 1, Problem 36PS
What is the difference between a statistic and parameter?
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A random variable X takes values 0 and 1 with probabilities q and p, respectively, with q+p=1. find the moment generating function of X and show that all the moments about the origin equal p. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)
1 (Expected Shortfall)
Suppose the price of an asset Pt follows a normal random walk, i.e., Pt =
Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²).
Po+r1+.
⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price
in T days, i.e., VaRq(Pt – Pt–T).
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• If ESq(rt) = A, find ES₁(Pt – Pt–T).
2 (Normal Distribution)
Let rt be a log return. Suppose that r₁, 2, ... are IID N(0.06, 0.47).
What is the distribution of rt (4) = rt + rt-1 + rt-2 + rt-3?
What is P(rt (4) < 2)?
What is the covariance between r2(2) = 1 + 12 and 13(2) = r² + 13?
• What is the conditional distribution of r₁(3) = rt + rt-1 + rt-2 given
rt-2 = 0.6?
Chapter 1 Solutions
Basic Business Statistics
Ch. 1 - Four different beverages are sold at a fast-food...Ch. 1 - U. S. businesses are listed by size small medium,...Ch. 1 - The time it takes to download a video from the...Ch. 1 - For each of the following variables, determine...Ch. 1 - The following information is collected from...Ch. 1 - For each of the following variables, determine...Ch. 1 - For each of the following variables, determine...Ch. 1 - Suppose the following information is collected...Ch. 1 - One of the variables most often included in...Ch. 1 - If two students score a 90 on the same...
Ch. 1 - The director of market research at a large...Ch. 1 - The American Community Survey (www.census.gov/acs)...Ch. 1 - Visit the website of the Pew Research organization...Ch. 1 - Transportation engineers and planners want to...Ch. 1 - Visit the home page of the Statistics Portal...Ch. 1 - For a population containing N=902 individual, what...Ch. 1 - For a population of N=902, verify that by starting...Ch. 1 - Given a population of N=93, starting in row 29,...Ch. 1 - For a study that consists of personal interviews...Ch. 1 - You want to select a random sample of n=1 from a...Ch. 1 - A population has four members (called A, B, C, and...Ch. 1 - The registrar of a university with a population of...Ch. 1 - Prenumbered sales invoices are kept in a sales...Ch. 1 - Suppose that 10,000 customers in a retailer s...Ch. 1 - The cellphone brands owned by a sample of 20...Ch. 1 - The amount of monthly data usage by a sample of 10...Ch. 1 - An amusement park company owns three hotels on an...Ch. 1 - A hotel management company runs 10 hotels in a...Ch. 1 - A Survey indicates that the vast majority of...Ch. 1 - A simple random sample of n=300 full–time...Ch. 1 - Results of a 2017 Computer Service, Inc (CSI)...Ch. 1 - A recent PWC survey of 1,379 CEO s from a wide...Ch. 1 - A recent survey points to tremendous revenue...Ch. 1 - What is the difference between a sample and a...Ch. 1 - What is the difference between a statistic and...Ch. 1 - What is the difference between a categorical...Ch. 1 - What is the difference between a discrete...Ch. 1 - What is the difference between a nominal scaled...Ch. 1 - What is difference between an interval scaled...Ch. 1 - What is the difference between probability...Ch. 1 - What is difference between a missing value and an...Ch. 1 - What is the difference between unstack and stacked...Ch. 1 - What is the difference between coverage error and...Ch. 1 - What is the difference between sampling error and...Ch. 1 - Visit the official website for Microsoft Excel,...Ch. 1 - Results of a 2017 Computer Services, Inc (CSI)...Ch. 1 - The Gallup organization releases the results of...Ch. 1 - A recent PwC survey of 1,379 CEOs from a wide...Ch. 1 - The American community Survey (www.census.gov/acs)...Ch. 1 - Download and examine Zarca interactive’s Sample...Ch. 1 - Three professors examined awareness of four widely...Ch. 1 - Social media provides an enormous amount of data...
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- 3 (Sharpe-ratio) Suppose that X1, X2,..., is a lognormal geometric random walk with parameters (μ, o²). Specifically, suppose that X = Xo exp(rı + ...Tk), where Xo is a fixed constant and r1, T2, ... are IID N(μ, o²). Find the Sharpe-ratios of rk and log(Xk) — log(Xo) respectively, assuming the risk free return is 0.arrow_forwardi need help with question 2arrow_forward4 (Value-at-Risk and Expected Shortfall) Suppose X Find VaR0.02(X) and ES0.02 (X). ~ Uniform(-1, 1).arrow_forward
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