EP BASIC BUS.STATS-ACCESS (18 WEEKS)
14th Edition
ISBN: 9780135989005
Author: BERENSON
Publisher: PEARSON CO
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Chapter 3, Problem 54PS
What is meant by the property of variation?
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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).
-
• 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 3 Solutions
EP BASIC BUS.STATS-ACCESS (18 WEEKS)
Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - The following set of data is from sample of n=6:...Ch. 3 - The following set of data is from sample of n=7:...Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Wired a magazine that delivers a glimpse into the...Ch. 3 - The operation manager of a plant that manufactures...Ch. 3 - Accounting to the U.S Census Bureau (census....Ch. 3 - The files Mobile Speed contain the overall...
Ch. 3 - The file Airport Rating contains the rating of...Ch. 3 - The annual NFL Super Bowl is the most widely...Ch. 3 - The AccountingPartners contains the number of...Ch. 3 - The file MobileCommerce contain the following...Ch. 3 - Prob. 15PSCh. 3 - Prob. 16PSCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Suppose that another bank branch, location in a...Ch. 3 - Prob. 19PSCh. 3 - Prob. 20PSCh. 3 - The file Indices contains the total rate of return...Ch. 3 - In 2013 through 2016, the value of precious metals...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 24PSCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 26PSCh. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - Prob. 31PSCh. 3 - The file MobileCommerce contains the following...Ch. 3 - Prob. 33PSCh. 3 - Prob. 34PSCh. 3 - The file CD Rate contains the yields for one-year...Ch. 3 - A bark branch located in a commercial district of...Ch. 3 - The following is a set of data for a population...Ch. 3 - The following is a set of data for a population...Ch. 3 - The file McDonaldsStores contains the number of...Ch. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - Prob. 41PSCh. 3 - Prob. 42PSCh. 3 - Thirty companies comprise the DJIA Just how big...Ch. 3 - The following is a set of data from sample of n=11...Ch. 3 - A study of 267 college students investigated the...Ch. 3 - The file Cereals lists the calories and sugar. in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - The fie Mobile Speed contains the overall download...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - What are the properties of a set of numerical...Ch. 3 - What is meant by the property of central tendency?Ch. 3 - What are the differences among the mean, median,...Ch. 3 - How do you interpret the first quartile, median,...Ch. 3 - What is meant by the property of variation?Ch. 3 - What does the Z score measure?Ch. 3 - What are the differences among the various...Ch. 3 - How does the empirical rule help explain the ways...Ch. 3 - How do the empirical rule and the Chebyshev rule...Ch. 3 - What is meant by the property of shape?Ch. 3 - What is the difference between skewness and...Ch. 3 - What is the difference between the arithmetic mean...Ch. 3 - How do the covariance and the coefficient of...Ch. 3 - The American Society for Quality (ASQ) conducted a...Ch. 3 - Prob. 64PSCh. 3 - One of the 111801 measures of the quality of...Ch. 3 - Call centers today play an important role in...Ch. 3 - The financial services call center also monitors...Ch. 3 - Prob. 68PSCh. 3 - A quality characteristic of interest for a...Ch. 3 - The manufacturer of Boston and Vermont asphalt...Ch. 3 - Prob. 71PSCh. 3 - The file Protein contains calories. protein. and...Ch. 3 - What was the mean price of a room at two-star,...Ch. 3 - The file Property Taxes contains the property...Ch. 3 - Have you wondered how Internet connection speed...Ch. 3 - Prob. 76PSCh. 3 - Prob. 77PSCh. 3 - Prob. 78PSCh. 3 - You are planning to study for your statistics...Ch. 3 - The file DomesticBeer contains the percentage...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 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
- 亚 ח Variables Name avgdr employ educ exerany Label AVG ALCOHOLIC DRINKS PER DAY IN PAST 30 EMPLOYMENT STATUS EDUCATION LEVEL EXERCISE IN PAST 30 DAYSarrow_forwardVariables Name wage hours IQ KWW educ exper tenure age married black south urban sibs brthord meduc feduc Label monthly earnings average weekly hours IQ score knowledge of world work score years of education years of work experience years with current employer age in years =1 if married =1 if black =1 if live in south =1 if live in SMSA number of siblings birth order mother's education father's educationarrow_forwardInformation for questions 4 • • Please Download "wages" from Canvas (the link to this dataset is right below the HWA1 questions - it is a Microsoft excel worksheet) and store it in your favorite folder. It contains 797 observations and 16 variables. The "state" variable gives the names of the states involved in this dataset. • You need to have excel on your computer to open this dataset. i. You should use File > Import > Excel Spreadsheet etc. as done in class 3 convert this file into a Stata dataset. Once you are done, write the final STATA code that makes the transformation of an excel file to a STATA file possible. ii. Write a code that will close the log file that has been open since Question 1 part ii.arrow_forward
- The mean, variance, skewness and kurtosis of a dataset are given as - Mean = 15, Variance = 20, SKewness = 1.5 and Kurtosis = 3.5 calculate the first four raw moments. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)arrow_forwardWrite codes to perform the functions in each of these cases i. ii. Apply cd command to tell STATA the filepath associated with your "favorite folder" (use the same name for the favorite folder that we have been using in class) Apply log using command to tell stata that you are creating a log file to record the codes and the outcomes of these codes. Make sure your log file is called loghwa1_W25.smcl. Do not forget to include the replace option. iii. Get help for the "regress" command & include a screenshot of the outcome of this code iv. V. Open a stata file stored in STATA memory called pop2000.dta Continue from question iv. Save this file in your favorite folder (current working directory) using a different name & a replace optionarrow_forwardAre there any unusually high or low pH levels in this sample of wells?arrow_forward
- 0 n AM RIES s of of 10 m Frequency 40 Frequency 20 20 30 10 You make two histograms from two different data sets (see the following figures), each one containing 200 observations. Which of the histograms has a smaller spread: the first or the second? 40 30 20 10 0 20 40 60 0 20 20 40 60 60 80 80 100 80 100arrow_forwardTIP the aren't, the data are not sym 11 Suppose that the average salary at a certain company is $100,000, and the median salary is $40,000. a. What do these figures tell you about the shape of the histogram of salaries at this company? b. Which measure of center is more appro- priate here? c. Suppose that the company goes through a salary negotiation. How can people on each side use these summary statistics to their advantage? 6360 be 52 PART 1 Getting Off to a Statistically Significant Sarrow_forward12 Suppose that you know that a data set is skewed left, and you know that the two measures of center are 19 and 38. Which figure is the mean and which is the median?arrow_forward
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