Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Chapter 2.1, Problem 77ES
To determine
To determine whether the given set is well defined or not.
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Students have asked these similar questions
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.)
Problem 4. Margrabe formula and the Greeks (20 pts)
In the homework, we determined the Margrabe formula for the price of an option allowing you to
swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility
σ and correlation p, the formula was given by
Fo=yo (d+)-x0Þ(d_),
where
In (±²
Ꭲ
d+
õ√T
and
σ = σ√√√2(1 - p).
дго
(a) We want to determine a "Greek" for ỡ on the option: find a formula for
θα
(b) Is
дго
θα
positive or negative?
(c) We consider a situation in which the correlation p between the two stocks increases: what
can you say about the price Fo?
(d) Assume that yo< xo and p = 1. What is the price of the option?
The Course Name Real Analysis please Solve questions by Real Analysis
Chapter 2 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 2.1 - Mark, Erica, Larry, and Jennifer have each defined...Ch. 2.1 - In some fuzzy sets, membership values are given by...Ch. 2.1 - The following membership graph provides a...Ch. 2.1 - The membership graphs in the following figure...Ch. 2.1 - The membership graph in Excursion Exercise 2 shows...Ch. 2.1 - Prob. 1ESCh. 2.1 - Prob. 2ESCh. 2.1 - Prob. 3ESCh. 2.1 - Prob. 4ESCh. 2.1 - Prob. 5ES
Ch. 2.1 - Prob. 6ESCh. 2.1 - Prob. 7ESCh. 2.1 - Prob. 8ESCh. 2.1 - Prob. 9ESCh. 2.1 - Prob. 10ESCh. 2.1 - Prob. 11ESCh. 2.1 - Prob. 12ESCh. 2.1 - In Exercises I to 14, use the roster method to...Ch. 2.1 - Prob. 14ESCh. 2.1 - Prob. 15ESCh. 2.1 - In Exercises 15 to 24, write a word description of...Ch. 2.1 - In Exercises 15 to 24, write a word description of...Ch. 2.1 - In Exercises 15 to 24, write a word description of...Ch. 2.1 - Prob. 19ESCh. 2.1 - Prob. 20ESCh. 2.1 - Prob. 21ESCh. 2.1 - Prob. 22ESCh. 2.1 - Prob. 23ESCh. 2.1 - Prob. 24ESCh. 2.1 - In Exercises 25 to 36, determine whether each...Ch. 2.1 - Prob. 26ESCh. 2.1 - Prob. 27ESCh. 2.1 - Prob. 28ESCh. 2.1 - Prob. 29ESCh. 2.1 - In Exercises 25 to 36, determine whether each...Ch. 2.1 - Prob. 31ESCh. 2.1 - Prob. 32ESCh. 2.1 - Prob. 33ESCh. 2.1 - Prob. 34ESCh. 2.1 - Prob. 35ESCh. 2.1 - Prob. 36ESCh. 2.1 - Prob. 37ESCh. 2.1 - Prob. 38ESCh. 2.1 - Prob. 39ESCh. 2.1 - Prob. 40ESCh. 2.1 - In Exercises 37 to 48, use set-builder notation to...Ch. 2.1 - Prob. 42ESCh. 2.1 - Prob. 43ESCh. 2.1 - Prob. 44ESCh. 2.1 - Prob. 45ESCh. 2.1 - Prob. 46ESCh. 2.1 - Prob. 47ESCh. 2.1 - Prob. 48ESCh. 2.1 - Prob. 49ESCh. 2.1 - Prob. 50ESCh. 2.1 - Prob. 51ESCh. 2.1 - Prob. 52ESCh. 2.1 - Prob. 53ESCh. 2.1 - Prob. 54ESCh. 2.1 - Prob. 55ESCh. 2.1 - Prob. 56ESCh. 2.1 - Prob. 57ESCh. 2.1 - Prob. 58ESCh. 2.1 - Prob. 59ESCh. 2.1 - Prob. 60ESCh. 2.1 - Prob. 61ESCh. 2.1 - Prob. 62ESCh. 2.1 - Prob. 63ESCh. 2.1 - In Exercises 63 to 70, state whether each of the...Ch. 2.1 - In Exercises 63 to 70, state whether each of the...Ch. 2.1 - Prob. 66ESCh. 2.1 - Prob. 67ESCh. 2.1 - Prob. 68ESCh. 2.1 - Prob. 69ESCh. 2.1 - Prob. 70ESCh. 2.1 - Prob. 71ESCh. 2.1 - Prob. 72ESCh. 2.1 - Prob. 73ESCh. 2.1 - Prob. 74ESCh. 2.1 - Prob. 75ESCh. 2.1 - Prob. 76ESCh. 2.1 - Prob. 77ESCh. 2.1 - Prob. 78ESCh. 2.1 - Prob. 79ESCh. 2.1 - Prob. 80ESCh. 2.1 - Prob. 81ESCh. 2.1 - Prob. 82ESCh. 2.1 - In Exercises 83 to 86, use the extension of...Ch. 2.1 - Prob. 84ESCh. 2.1 - Prob. 85ESCh. 2.1 - Prob. 86ESCh. 2.1 - Prob. 87ESCh. 2.1 - Prob. 88ESCh. 2.1 - Prob. 89ESCh. 2.1 - Prob. 90ESCh. 2.2 - Let K = {(1, 0.4), (2, 0.6), (3,0.8), (4, 1)) and...Ch. 2.2 - Prob. 2EECh. 2.2 - Prob. 3EECh. 2.2 - Prob. 4EECh. 2.2 - Prob. 5EECh. 2.2 - Prob. 1ESCh. 2.2 - Prob. 2ESCh. 2.2 - Prob. 3ESCh. 2.2 - Prob. 4ESCh. 2.2 - Prob. 5ESCh. 2.2 - Prob. 6ESCh. 2.2 - Prob. 7ESCh. 2.2 - Prob. 8ESCh. 2.2 - Prob. 9ESCh. 2.2 - Prob. 10ESCh. 2.2 - Prob. 11ESCh. 2.2 - Prob. 12ESCh. 2.2 - Prob. 13ESCh. 2.2 - Prob. 14ESCh. 2.2 - Prob. 15ESCh. 2.2 - Prob. 16ESCh. 2.2 - Prob. 17ESCh. 2.2 - Prob. 18ESCh. 2.2 - Prob. 19ESCh. 2.2 - Prob. 20ESCh. 2.2 - Prob. 21ESCh. 2.2 - Prob. 22ESCh. 2.2 - Prob. 23ESCh. 2.2 - Prob. 24ESCh. 2.2 - Prob. 25ESCh. 2.2 - Prob. 26ESCh. 2.2 - Prob. 27ESCh. 2.2 - Prob. 28ESCh. 2.2 - Prob. 29ESCh. 2.2 - Prob. 30ESCh. 2.2 - Prob. 31ESCh. 2.2 - Prob. 32ESCh. 2.2 - Prob. 33ESCh. 2.2 - Prob. 34ESCh. 2.2 - Prob. 35ESCh. 2.2 - Prob. 36ESCh. 2.2 - Prob. 37ESCh. 2.2 - Prob. 38ESCh. 2.2 - Prob. 39ESCh. 2.2 - Prob. 40ESCh. 2.2 - Prob. 41ESCh. 2.2 - Prob. 42ESCh. 2.2 - Prob. 43ESCh. 2.2 - Prob. 44ESCh. 2.2 - Prob. 45ESCh. 2.2 - Prob. 46ESCh. 2.2 - Prob. 47ESCh. 2.2 - Prob. 48ESCh. 2.2 - Prob. 49ESCh. 2.2 - Prob. 50ESCh. 2.2 - Prob. 51ESCh. 2.2 - In Exercises 47 to 54, find the number of subsets...Ch. 2.2 - Prob. 53ESCh. 2.2 - Prob. 54ESCh. 2.2 - Suppose you have a nickel, two dimes, and a...Ch. 2.2 - Prob. 56ESCh. 2.2 - Sandwich Choices A delicatessen makes a...Ch. 2.2 - Upgrade Options A company that builds homes...Ch. 2.2 - Omelet Choices A restaurant provides a brunch...Ch. 2.2 - Truck Options A truck company makes a pickup truck...Ch. 2.2 - Prob. 61ESCh. 2.2 - Prob. 62ESCh. 2.2 - Voting Coalitions Five people, designated A, B, C,...Ch. 2.2 - Prob. 64ESCh. 2.3 - En Excursion Exercise I of Section 2.1, we defined...Ch. 2.3 - En Excursion Exercise I of Section 2.1, we defined...Ch. 2.3 - Prob. 3EECh. 2.3 - En Excursion Exercise I of Section 2.1, we defined...Ch. 2.3 - Prob. 5EECh. 2.3 - Prob. 6EECh. 2.3 - Prob. 7EECh. 2.3 - Prob. 1ESCh. 2.3 - Prob. 2ESCh. 2.3 - Prob. 3ESCh. 2.3 - Prob. 4ESCh. 2.3 - Prob. 5ESCh. 2.3 - Prob. 6ESCh. 2.3 - Prob. 7ESCh. 2.3 - Prob. 8ESCh. 2.3 - Prob. 9ESCh. 2.3 - Prob. 10ESCh. 2.3 - Prob. 11ESCh. 2.3 - Prob. 12ESCh. 2.3 - Prob. 13ESCh. 2.3 - Prob. 14ESCh. 2.3 - Prob. 15ESCh. 2.3 - Prob. 16ESCh. 2.3 - Prob. 17ESCh. 2.3 - Prob. 18ESCh. 2.3 - Prob. 19ESCh. 2.3 - Prob. 20ESCh. 2.3 - Prob. 21ESCh. 2.3 - Prob. 22ESCh. 2.3 - Prob. 23ESCh. 2.3 - Prob. 24ESCh. 2.3 - In Exercises 21 to 28, write a sentence that...Ch. 2.3 - Prob. 26ESCh. 2.3 - Prob. 27ESCh. 2.3 - Prob. 28ESCh. 2.3 - Prob. 29ESCh. 2.3 - Prob. 30ESCh. 2.3 - Prob. 31ESCh. 2.3 - Prob. 32ESCh. 2.3 - Prob. 33ESCh. 2.3 - Prob. 34ESCh. 2.3 - Prob. 35ESCh. 2.3 - Prob. 36ESCh. 2.3 - Prob. 37ESCh. 2.3 - Prob. 38ESCh. 2.3 - Prob. 39ESCh. 2.3 - Prob. 40ESCh. 2.3 - Prob. 41ESCh. 2.3 - Prob. 42ESCh. 2.3 - Prob. 43ESCh. 2.3 - Prob. 44ESCh. 2.3 - Prob. 45ESCh. 2.3 - Prob. 46ESCh. 2.3 - Prob. 47ESCh. 2.3 - Prob. 48ESCh. 2.3 - Prob. 49ESCh. 2.3 - Subtractive Color Mixing Artists who paint with...Ch. 2.3 - Prob. 51ESCh. 2.3 - Subtractive Color Mixing Artists who paint with...Ch. 2.3 - Prob. 53ESCh. 2.3 - Prob. 54ESCh. 2.3 - Prob. 55ESCh. 2.3 - Prob. 56ESCh. 2.3 - Prob. 57ESCh. 2.3 - Prob. 58ESCh. 2.3 - Prob. 59ESCh. 2.3 - Prob. 60ESCh. 2.3 - Prob. 61ESCh. 2.3 - Prob. 62ESCh. 2.3 - A Survey Aspecial interest group plans to conduct...Ch. 2.3 - A Music Survey Theadministrators of an Internet...Ch. 2.3 - Prob. 65ESCh. 2.3 - Prob. 66ESCh. 2.3 - Prob. 67ESCh. 2.3 - Prob. 68ESCh. 2.3 - Prob. 69ESCh. 2.3 - Prob. 70ESCh. 2.3 - Prob. 71ESCh. 2.3 - Prob. 72ESCh. 2.3 - Prob. 73ESCh. 2.3 - Prob. 74ESCh. 2.3 - Prob. 75ESCh. 2.3 - Prob. 76ESCh. 2.3 - Prob. 77ESCh. 2.3 - Prob. 78ESCh. 2.3 - Prob. 79ESCh. 2.3 - In an article in New Scientist magazine, Anthony...Ch. 2.4 - A selection committee consists of Ryan, Susan. and...Ch. 2.4 - A selection committee consists of three people...Ch. 2.4 - Determine the minimal winning coalitions for the...Ch. 2.4 - Prob. 1ESCh. 2.4 - Prob. 2ESCh. 2.4 - In Exercises I to 10, let U = English, French,...Ch. 2.4 - Prob. 4ESCh. 2.4 - Prob. 5ESCh. 2.4 - Prob. 6ESCh. 2.4 - In Exercises I to 10, let U = English, French,...Ch. 2.4 - Prob. 8ESCh. 2.4 - Prob. 9ESCh. 2.4 - Prob. 10ESCh. 2.4 - Prob. 11ESCh. 2.4 - Prob. 12ESCh. 2.4 - Prob. 13ESCh. 2.4 - Prob. 14ESCh. 2.4 - Prob. 15ESCh. 2.4 - Given n(A) = 640, n(B) = 280, and n(A U B) = 765,...Ch. 2.4 - Prob. 17ESCh. 2.4 - In Exercises 17 and 18, use the given information...Ch. 2.4 - In a surveyof 600 investors, it was reported that...Ch. 2.4 - Commuting A survey of 1500 commuters in New York...Ch. 2.4 - A team physician has determined that of all the...Ch. 2.4 - The management of a hotel conducted a survey. ft...Ch. 2.4 - A computer company advertises its computers in PC...Ch. 2.4 - During one month, a blood donation center found...Ch. 2.4 - A special interest group has conducted a survey...Ch. 2.4 - A survey of college students was taken to...Ch. 2.4 - A survey was completed by individuals who were...Ch. 2.4 - Prob. 28ESCh. 2.4 - Prob. 29ESCh. 2.4 - Prob. 30ESCh. 2.4 - Prob. 31ESCh. 2.4 - Prob. 32ESCh. 2.5 - Use two disjoint sets to show that 0+2=0.Ch. 2.5 - Prob. 2EECh. 2.5 - Use sets toshow that 06=0.Ch. 2.5 - Prob. 1ESCh. 2.5 - Establish a one-to-one correspondence between the...Ch. 2.5 - Establish a one-to-one correspondence between D =...Ch. 2.5 - Prob. 4ESCh. 2.5 - Prob. 5ESCh. 2.5 - In Exercises 4 to 10, state the cardinality of...Ch. 2.5 - Prob. 7ESCh. 2.5 - Prob. 8ESCh. 2.5 - Prob. 9ESCh. 2.5 - Prob. 10ESCh. 2.5 - Prob. 11ESCh. 2.5 - In Exercises 11 to 14, determine whether the given...Ch. 2.5 - Prob. 13ESCh. 2.5 - Prob. 14ESCh. 2.5 - Prob. 15ESCh. 2.5 - In Exercises 15 to 18, show that the given set is...Ch. 2.5 - Prob. 17ESCh. 2.5 - Prob. 18ESCh. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - Prob. 20ESCh. 2.5 - Prob. 21ESCh. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - Prob. 23ESCh. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - In Exercises 19 to 26, show that the given set has...Ch. 2.5 - Prob. 27ESCh. 2.5 - Prob. 28ESCh. 2.5 - Prob. 29ESCh. 2.5 - The Hubert Hotel is an imaginary hotel created by...Ch. 2 - Prob. 1RECh. 2 - In Exercises 1 to 6, use the roster method to...Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - Prob. 10RECh. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - In Exercises 35 to 38, find the number of subsets...Ch. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - In a survey at a health club, 208 members...Ch. 2 - A gourmet coffee bar conducted a survey to...Ch. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 59RECh. 2 - Prob. 60RECh. 2 - Prob. 61RECh. 2 - Prob. 62RECh. 2 - Prob. 63RECh. 2 - Prob. 64RECh. 2 - Prob. 65RECh. 2 - Prob. 66RECh. 2 - Prob. 67RECh. 2 - Prob. 68RECh. 2 - Prob. 69RECh. 2 - Prob. 70RECh. 2 - Prob. 71RECh. 2 - Prob. 72RECh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Upgrade Options An automobile company makes a...Ch. 2 - Student Demographics A college finds that 841 of...Ch. 2 - The following bar graph shows the monthly...Ch. 2 - A survey of 1000 households was taken to determine...Ch. 2 - Show a method that can be used to establish a...Ch. 2 - Prob. 20T
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