Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 14, Problem 22E
(a)
To determine
Comment on the given interpretation.
(b)
To determine
Find the conclusion is correct or not.
(c)
To determine
Find the conclusion is correct or not.
(d)
To determine
Find the conclusion is correct or not.
(e)
To determine
Find the conclusion is correct or not.
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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 14 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Ch. 14.2 - Every 10 years, the United States takes a census....Ch. 14.2 - Prob. 2JCCh. 14.2 - Prob. 3JCCh. 14.2 - Every 10 years, the United States takes a census....Ch. 14.2 - Prob. 5JCCh. 14.3 - Prob. 6JCCh. 14 - Salmon A specialty food company sells whole King...Ch. 14 - LSAT The LSAT (a test taken for law school...Ch. 14 - Prob. 3ECh. 14 - Prob. 4E
Ch. 14 - More tips The waiter in Exercise 3 usually waits...Ch. 14 - More groceries Suppose the store in Exercise 4 had...Ch. 14 - Prob. 7ECh. 14 - t-models, part II Using the t tables, software, or...Ch. 14 - t-models, part III Describe how the shape, center,...Ch. 14 - Prob. 10ECh. 14 - Prob. 11ECh. 14 - Home sales again In the previous exercise, you...Ch. 14 - Prob. 13ECh. 14 - Salaries A survey finds that a 95% confidence...Ch. 14 - Cattle Livestock are given a special feed...Ch. 14 - Prob. 16ECh. 14 - Prob. 17ECh. 14 - Student survey revisited Chapter 2, Exercise 86...Ch. 14 - Prob. 19ECh. 14 - Prob. 20ECh. 14 - Meal plan After surveying students at Dartmouth...Ch. 14 - Prob. 22ECh. 14 - Prob. 23ECh. 14 - Crawling Data collected by child development...Ch. 14 - Prob. 25ECh. 14 - Credit card charges A credit card company takes a...Ch. 14 - Prob. 27ECh. 14 - Pulse rates In the latest National Health and...Ch. 14 - Prob. 29ECh. 14 - Parking Hoping to lure more shoppers downtown, a...Ch. 14 - Prob. 31ECh. 14 - Prob. 32ECh. 14 - Speed of light In 1882, Michelson measured the...Ch. 14 - Michelson After his first attempt to determine the...Ch. 14 - Prob. 35ECh. 14 - Prob. 36ECh. 14 - Prob. 37ECh. 14 - Hot dogs A nutrition lab tested 40 hot dogs to see...Ch. 14 - Prob. 39ECh. 14 - Prob. 40ECh. 14 - Prob. 41ECh. 14 - Computer lab fees The technology committee has...Ch. 14 - Prob. 43ECh. 14 - CEO compensation The total compensation of the...Ch. 14 - Prob. 45ECh. 14 - CEOs, revisited In Exercise 44, you looked at the...Ch. 14 - GPAs A colleges data about the incoming freshmen...Ch. 14 - Prob. 48ECh. 14 - Lucky spot? A reporter working on a story about...Ch. 14 - Prob. 50ECh. 14 - Pregnancy Assume that the duration of human...Ch. 14 - Rainfall Statistics from Cornells Northeast...Ch. 14 - Prob. 53ECh. 14 - Prob. 54ECh. 14 - Prob. 55ECh. 14 - Doritos Some students checked 6 bags of Doritos...Ch. 14 - Prob. 57ECh. 14 - Prob. 58ECh. 14 - Chips Ahoy! In 1998, as an advertising campaign,...Ch. 14 - Yogurt Consumer Reports tested 11 brands of...Ch. 14 - Prob. 61ECh. 14 - Prob. 62ECh. 14 - Prob. 63ECh. 14 - Wind power Should you generate electricity with...
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