Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
8th Edition
ISBN: 9781464158933
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 3, Problem 129E
(a)
To determine
To explain: The population of the study.
(b)
To determine
To explain: The sample design.
To determine
To explain: Whether the stratified sampling can be used or not.
(c)
To determine
To explain: The difficulties that are expected in the provided study.
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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 3 Solutions
Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
Ch. 3.1 - Prob. 1UYKCh. 3.1 - Prob. 2UYKCh. 3.1 - Prob. 3UYKCh. 3.1 - Prob. 4UYKCh. 3.1 - Prob. 5UYKCh. 3.1 - Prob. 6UYKCh. 3.1 - Prob. 7UYKCh. 3.1 - Prob. 8UYKCh. 3.1 - Prob. 9UYKCh. 3.1 - Prob. 10UYK
Ch. 3.1 - Prob. 11UYKCh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.2 - Prob. 18UYKCh. 3.2 - Prob. 19UYKCh. 3.2 - Prob. 20UYKCh. 3.2 - Prob. 21UYKCh. 3.2 - Prob. 22UYKCh. 3.2 - Prob. 23UYKCh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.3 - Prob. 48UYKCh. 3.3 - Prob. 49UYKCh. 3.3 - Prob. 50UYKCh. 3.3 - Prob. 51UYKCh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - Prob. 72ECh. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - Prob. 75ECh. 3.3 - Prob. 76ECh. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.4 - Prob. 79UYKCh. 3.4 - Prob. 80UYKCh. 3.4 - Prob. 81UYKCh. 3.4 - Prob. 82ECh. 3.4 - Prob. 83ECh. 3.4 - Prob. 84ECh. 3.4 - Prob. 85ECh. 3.4 - Prob. 86ECh. 3.4 - Prob. 87ECh. 3.4 - Prob. 88ECh. 3.4 - Prob. 89ECh. 3.4 - Prob. 90ECh. 3.4 - Prob. 91ECh. 3.4 - Prob. 92ECh. 3.4 - Prob. 93ECh. 3.4 - Prob. 94ECh. 3.4 - Prob. 95ECh. 3.5 - Prob. 96UYKCh. 3.5 - Prob. 97UYKCh. 3.5 - Prob. 98UYKCh. 3.5 - Prob. 99UYKCh. 3.5 - Prob. 100UYKCh. 3.5 - Prob. 101UYKCh. 3.5 - Prob. 102ECh. 3.5 - Prob. 103ECh. 3.5 - Prob. 104ECh. 3.5 - Prob. 105ECh. 3.5 - Prob. 106ECh. 3.5 - Prob. 108ECh. 3.5 - Prob. 109ECh. 3.5 - Prob. 110ECh. 3.5 - Prob. 111ECh. 3.5 - Prob. 112ECh. 3.5 - Prob. 113ECh. 3.5 - Prob. 114ECh. 3.5 - Prob. 115ECh. 3.5 - Prob. 116ECh. 3.5 - Prob. 117ECh. 3 - Prob. 118ECh. 3 - Prob. 119ECh. 3 - Prob. 121ECh. 3 - Prob. 122ECh. 3 - Prob. 123ECh. 3 - Prob. 124ECh. 3 - Prob. 125ECh. 3 - Prob. 126ECh. 3 - Prob. 127ECh. 3 - Prob. 128ECh. 3 - Prob. 129ECh. 3 - Prob. 130ECh. 3 - Prob. 131ECh. 3 - Prob. 132ECh. 3 - Prob. 133ECh. 3 - Prob. 134ECh. 3 - Prob. 135ECh. 3 - Prob. 136ECh. 3 - Prob. 137ECh. 3 - Prob. 138E
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