STATISTICAL TECH IN BUSN CONNECT <LCPO>
18th Edition
ISBN: 9781266505942
Author: Lind
Publisher: MCG
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Chapter 4, Problem 23CE
a.
To determine
Find the
Find the first
Find the third quartile.
b.
To determine
Find the 26th percentile.
Find the 83rd percentile.
c.
To determine
Construct the box plot.
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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 4 Solutions
STATISTICAL TECH IN BUSN CONNECT <LCPO>
Ch. 4 - Prob. 1SRCh. 4 - Describe the differences between a histogram and a...Ch. 4 - Prob. 2ECh. 4 - Consider the following chart. a. What is this...Ch. 4 - The following chart reports the number of cell...Ch. 4 - Prob. 2SRCh. 4 - Prob. 5ECh. 4 - Prob. 6ECh. 4 - Prob. 7ECh. 4 - Kevin Horn is the national sales manager for...
Ch. 4 - The following box plot shows the assets in...Ch. 4 - Prob. 9ECh. 4 - Prob. 10ECh. 4 - Prob. 11ECh. 4 - A sample of 28 time shares in the Orlando,...Ch. 4 - Prob. 4SRCh. 4 - Prob. 13ECh. 4 - Prob. 14ECh. 4 - Prob. 15ECh. 4 - Prob. 16ECh. 4 - Prob. 5SRCh. 4 - Prob. 17ECh. 4 - Prob. 18ECh. 4 - Prob. 19ECh. 4 - Ski Resorts of Vermont Inc. is considering a...Ch. 4 - Prob. 21CECh. 4 - Prob. 22CECh. 4 - Prob. 23CECh. 4 - Prob. 24CECh. 4 - Prob. 25CECh. 4 - Prob. 26CECh. 4 - Prob. 27CECh. 4 - Prob. 28CECh. 4 - Prob. 29CECh. 4 - Prob. 30CECh. 4 - Prob. 31CECh. 4 - Prob. 32CECh. 4 - Prob. 33CECh. 4 - Prob. 34CECh. 4 - Prob. 35CECh. 4 - Prob. 36DACh. 4 - Prob. 38DACh. 4 - The duration in minutes of a sample of 50 power...Ch. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - A. Century National Bank The following case will...Ch. 4 - A. Century National Bank The following case will...Ch. 4 - Prob. 3CCh. 4 - The science of collecting, organizing, presenting,...Ch. 4 - Methods of organizing, summarizing, and presenting...Ch. 4 - Prob. 1.3PTCh. 4 - List the two types of variables.Ch. 4 - Prob. 1.5PTCh. 4 - The jersey numbers of Major League Baseball...Ch. 4 - Prob. 1.7PTCh. 4 - Prob. 1.8PTCh. 4 - Prob. 1.9PTCh. 4 - Prob. 1.10PTCh. 4 - Prob. 1.11PTCh. 4 - Prob. 1.12PTCh. 4 - Prob. 1.13PTCh. 4 - Prob. 2.1PTCh. 4 - Prob. 2.2PTCh. 4 - Prob. 2.3PTCh. 4 - Prob. 2.4PTCh. 4 - Prob. 2.5PT
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