Elementary Statistics Using Excel (6th Edition)
Elementary Statistics Using Excel (6th Edition)
6th Edition
ISBN: 9780134506623
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 1.2, Problem 8BSC
To determine

Whether the value ‘146 garment workers’ is statistic or a parameter.

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In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)
Problem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?
We consider a 4-dimensional stock price model given (under P) by dẴ₁ = µ· Xt dt + йt · ΣdŴt where (W) is an n-dimensional Brownian motion, π = (0.02, 0.01, -0.02, 0.05), 0.2 0 0 0 0.3 0.4 0 0 Σ= -0.1 -4a За 0 0.2 0.4 -0.1 0.2) and a E R. We assume that ☑0 = (1, 1, 1, 1) and that the interest rate on the market is r = 0.02. (a) Give a condition on a that would make stock #3 be the one with largest volatility. (b) Find the diversification coefficient for this portfolio as a function of a. (c) Determine the maximum diversification coefficient d that you could reach by varying the value of a? 2

Chapter 1 Solutions

Elementary Statistics Using Excel (6th Edition)

Ch. 1.1 - Sampling Method. In Exercises 9-12, determine...Ch. 1.1 - Sampling Method. In Exercises 9–12, determine...Ch. 1.1 - Prob. 13BSCCh. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - Statistical Significance and Practical...Ch. 1.1 - In Exercises 17–20, refer to the sample of body...Ch. 1.1 - In Exercises 17–20, refer to the sample of body...Ch. 1.1 - Prob. 19BSCCh. 1.1 - In Exercises 17–20, refer to the sample of body...Ch. 1.1 - Prob. 21BSCCh. 1.1 - In Exercises 21–24, refer to the data in the table...Ch. 1.1 - Prob. 23BSCCh. 1.1 - In Exercises 21–24, refer to the data in the table...Ch. 1.1 - Prob. 25BSCCh. 1.1 - What’s Wrong? In Exercises 25–28, identify what is...Ch. 1.1 - What’s Wrong? In Exercises 25–28, identify what is...Ch. 1.1 - Prob. 28BSCCh. 1.1 - Prob. 29BSCCh. 1.1 - 30. Checking Job Applicants In a study conducted...Ch. 1.1 - Prob. 31BSCCh. 1.1 - Prob. 32BSCCh. 1.1 - 33. Percentages in Advertising An ad for Big...Ch. 1.1 - Prob. 34BSCCh. 1.1 - 35. Percentages In Advertising A New York Times...Ch. 1.1 - Prob. 36BSCCh. 1.1 - 37. What’s Wrong with This Picture? The Newport...Ch. 1.1 - 38. Falsifying Data A researcher at the...Ch. 1.2 - 1. Parameter and Statistic In a Harris Interactive...Ch. 1.2 - Prob. 2BSCCh. 1.2 - Prob. 3BSCCh. 1.2 - Prob. 4BSCCh. 1.2 - Prob. 5BSCCh. 1.2 - In Exercises 5–12, identify whether the given...Ch. 1.2 - Prob. 7BSCCh. 1.2 - Prob. 8BSCCh. 1.2 - Prob. 9BSCCh. 1.2 - Prob. 10BSCCh. 1.2 - Prob. 11BSCCh. 1.2 - Prob. 12BSCCh. 1.2 - Prob. 13BSCCh. 1.2 - Prob. 14BSCCh. 1.2 - Prob. 15BSCCh. 1.2 - Prob. 16BSCCh. 1.2 - Prob. 17BSCCh. 1.2 - In Exercises 13–20, determine whether the data are...Ch. 1.2 - Prob. 19BSCCh. 1.2 - In Exercises 13–20, determine whether the data are...Ch. 1.2 - Prob. 21BSCCh. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - In Exercises 21–28, determine which of the four...Ch. 1.2 - Prob. 29BSCCh. 1.2 - Prob. 30BSCCh. 1.2 - Prob. 31BSCCh. 1.2 - Prob. 32BSCCh. 1.2 - Prob. 33BBCh. 1.3 - 1. Back Pain Treatment In a study designed to test...Ch. 1.3 - Prob. 2BSCCh. 1.3 - Prob. 3BSCCh. 1.3 - Prob. 4BSCCh. 1.3 - Prob. 5BSCCh. 1.3 - Prob. 6BSCCh. 1.3 - Prob. 7BSCCh. 1.3 - Prob. 8BSCCh. 1.3 - Prob. 9BSCCh. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - In Exercises 9–20, identify which of these types...Ch. 1.3 - Critical Thinking: What’s Wrong? In Exercises...Ch. 1.3 - Critical Thinking: What’s Wrong? In Exercises...Ch. 1.3 - Critical Thinking: What’s Wrong? In Exercises...Ch. 1.3 - Prob. 24BSCCh. 1.3 - Prob. 25BSCCh. 1.3 - Prob. 26BSCCh. 1.3 - Prob. 27BSCCh. 1.3 - Prob. 28BSCCh. 1.3 - Prob. 29BBCh. 1.3 - Prob. 30BBCh. 1.3 - Prob. 31BBCh. 1.3 - Prob. 32BBCh. 1.3 - Prob. 33BBCh. 1.3 - Prob. 34BBCh. 1.3 - Prob. 35BBCh. 1.3 - Prob. 36BBCh. 1.3 - Prob. 37BBCh. 1 - Prob. 1CQQCh. 1 - 2. Hospitals Which of the following best describes...Ch. 1 - Prob. 3CQQCh. 1 - Prob. 4CQQCh. 1 - Prob. 5CQQCh. 1 - Prob. 6CQQCh. 1 - Prob. 7CQQCh. 1 - 8. Observational Study or Experiment Are the data...Ch. 1 - Prob. 9CQQCh. 1 - Prob. 10CQQCh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Prob. 3CRECh. 1 - Prob. 4CRECh. 1 - Prob. 5CRECh. 1 - Prob. 6CRECh. 1 - Prob. 7CRECh. 1 - Prob. 8CRECh. 1 - Prob. 9CRECh. 1 - Prob. 10CRECh. 1 - Prob. 11CRECh. 1 - Prob. 12CRECh. 1 - Prob. 2EPCh. 1 - Prob. 1FDDCh. 1 - Prob. 2FDDCh. 1 - Prob. 3FDDCh. 1 - Prob. 4FDD
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