Statistics: Informed Decisions Using Data (5th Edition)
Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 12.1, Problem 30AYU
To determine

To explain: The reason to choose goodness of fit as a title for chi-square testing procedures.

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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.)

Chapter 12 Solutions

Statistics: Informed Decisions Using Data (5th Edition)

Ch. 12.1 - NW 11. Plain M&Ms According to the manufacturer of...Ch. 12.1 - 12. Peanut M&Ms According to the manufacturer of...Ch. 12.1 - Prob. 13AYUCh. 12.1 - Prob. 14AYUCh. 12.1 - 15. Always Wear a Helmet The National Highway...Ch. 12.1 - 16. Religion in Congress Is the religious make-up...Ch. 12.1 - Prob. 17AYUCh. 12.1 - Prob. 18AYUCh. 12.1 - NW 19. The NHL In his book Outliers, Malcolm...Ch. 12.1 - Prob. 20AYUCh. 12.1 - Prob. 21AYUCh. 12.1 - Prob. 22AYUCh. 12.1 - Prob. 23AYUCh. 12.1 - Prob. 24AYUCh. 12.1 - Prob. 25AYUCh. 12.1 - Prob. 26AYUCh. 12.1 - Prob. 27AYUCh. 12.1 - 28. Putting It Together: Weldon's Dice On February...Ch. 12.1 - Prob. 29AYUCh. 12.1 - Prob. 30AYUCh. 12.1 - 31. Explain why chi-square goodness-of-fit tests...Ch. 12.1 - Prob. 32AYUCh. 12.2 - 1. True or False: The expected frequencies in a...Ch. 12.2 - Prob. 2AYUCh. 12.2 - Prob. 3AYUCh. 12.2 - Prob. 4AYUCh. 12.2 - Prob. 5AYUCh. 12.2 - Prob. 6AYUCh. 12.2 - Prob. 7AYUCh. 12.2 - Prob. 8AYUCh. 12.2 - Prob. 9AYUCh. 12.2 - Prob. 10AYUCh. 12.2 - Prob. 11AYUCh. 12.2 - Prob. 12AYUCh. 12.2 - Prob. 13AYUCh. 12.2 - Prob. 14AYUCh. 12.2 - NW 15. What's in a Word? In a recent survey...Ch. 12.2 - Prob. 16AYUCh. 12.2 - Prob. 17AYUCh. 12.2 - Prob. 18AYUCh. 12.2 - Prob. 19AYUCh. 12.2 - Prob. 20AYUCh. 12.2 - Prob. 21AYUCh. 12.2 - 22. Homeruns Go to...Ch. 12.2 - Prob. 23AYUCh. 12.2 - Prob. 24AYUCh. 12.3 - In Problems 1 and 2, test whether the population...Ch. 12.3 - Prob. 2AYUCh. 12.3 - Prob. 3AYUCh. 12.3 - Prob. 4AYUCh. 12.3 - Prob. 5AYUCh. 12.3 - Prob. 6AYUCh. 12.3 - Prob. 7AYUCh. 12.3 - 8. Children and Childcare The General Social...Ch. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - Prob. 3RECh. 12 - Prob. 4RECh. 12 - Prob. 5RECh. 12 - Prob. 6RECh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. CS
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