EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 9, Problem 11E
a.
To determine
Find the value of the population
Find the best estimate of the population mean.
b.
To determine
Explain why the people need to use the t-distribution. Also, identify which assumption is needed to make.
c.
To determine
Find the value of t for 95% confidence interval.
d.
To determine
Construct 95% confidence interval for the population mean.
e.
To determine
Check whether it is reasonable to conclude that the population mean is 21 eggs. Also, check it for 25 eggs.
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Students have asked these similar questions
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
Question 1. Your manager asks you to explain why the Black-Scholes model may be inappro-
priate for pricing options in practice. Give one reason that would substantiate this claim?
Question 2. We consider stock #1 and stock #2 in the model of Problem 2. Your manager
asks you to pick only one of them to invest in based on the model provided. Which one do you
choose and why ?
Question 3. Let (St) to be an asset modeled by the Black-Scholes SDE. Let Ft be the price
at time t of a European put with maturity T and strike price K. Then, the discounted option
price process (ert Ft) t20 is a martingale. True or False? (Explain your answer.)
Question 4. You are considering pricing an American put option using a Black-Scholes model
for the underlying stock. An explicit formula for the price doesn't exist. In just a few words (no
more than 2 sentences), explain how you would proceed to price it.
Question 5. We model a short rate with a Ho-Lee model drt = ln(1+t) dt +2dWt. Then the
interest rate…
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 9 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
Ch. 9 - Prob. 1SRCh. 9 - Prob. 1ECh. 9 - A sample of 81 observations is taken from a normal...Ch. 9 - Prob. 3ECh. 9 - Suppose you know and you want an 85% confldence...Ch. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 2SR
Ch. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - Prob. 11ECh. 9 - Prob. 12ECh. 9 - Prob. 13ECh. 9 - Prob. 14ECh. 9 - Prob. 3SRCh. 9 - Prob. 15ECh. 9 - Ms. Maria Wilson is considering running for mayor...Ch. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - Prob. 4SRCh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - The same study of church contributions in Scandia...Ch. 9 - Thirty-six items are randomly selected from a...Ch. 9 - Forty-nine items are randomly selected from a...Ch. 9 - The attendance at the Savannah Colts minor league...Ch. 9 - There are 300 welders employed at Maine Shipyards...Ch. 9 - Prob. 31CECh. 9 - Prob. 32CECh. 9 - Prob. 33CECh. 9 - Prob. 34CECh. 9 - Prob. 35CECh. 9 - Prob. 36CECh. 9 - Prob. 37CECh. 9 - Prob. 38CECh. 9 - Prob. 39CECh. 9 - Prob. 40CECh. 9 - Prob. 41CECh. 9 - Prob. 42CECh. 9 - Prob. 43CECh. 9 - Prob. 44CECh. 9 - Prob. 45CECh. 9 - Prob. 46CECh. 9 - Prob. 47CECh. 9 - Prob. 48CECh. 9 - Prob. 49CECh. 9 - Prob. 50CECh. 9 - Prob. 51CECh. 9 - Prob. 52CECh. 9 - Prob. 53CECh. 9 - Prob. 54CECh. 9 - Prob. 55CECh. 9 - Prob. 56CECh. 9 - Prob. 57CECh. 9 - Prob. 58CECh. 9 - Prob. 59CECh. 9 - Prob. 60CECh. 9 - Prob. 61CECh. 9 - Prob. 62CECh. 9 - Prob. 63CECh. 9 - Prob. 64CECh. 9 - Prob. 65CECh. 9 - Prob. 66CECh. 9 - A sample of 352 subscribers to Wired magazine...Ch. 9 - Prob. 68CECh. 9 - Prob. 70DACh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 1CCh. 9 - Prob. 1.1PTCh. 9 - Prob. 1.2PTCh. 9 - Prob. 1.3PTCh. 9 - Prob. 1.4PTCh. 9 - Prob. 1.5PTCh. 9 - Prob. 1.6PTCh. 9 - Prob. 1.7PTCh. 9 - Prob. 1.8PTCh. 9 - Prob. 1.9PTCh. 9 - Prob. 1.10PTCh. 9 - Prob. 2.1PTCh. 9 - Prob. 2.2PTCh. 9 - Prob. 2.3PTCh. 9 - Prob. 2.4PT
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