Basic College Mathematics (12th Edition)
12th Edition
ISBN: 9780321931900
Author: Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson
Publisher: PEARSON
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Chapter 7, Problem 8RE
To determine
To find: The gas mileage.
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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
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
Chapter 7 Solutions
Basic College Mathematics (12th Edition)
Ch. 7.1 - Prob. 1SRCh. 7.1 - Prob. 2SRCh. 7.1 - Prob. 1DECh. 7.1 - Prob. 2DECh. 7.1 - Prob. 3DECh. 7.1 - Prob. 4DECh. 7.1 - Prob. 5DECh. 7.1 - Prob. 6DECh. 7.1 - Prob. 7DECh. 7.1 - Prob. 8DE
Ch. 7.1 - Prob. 9DECh. 7.1 - Prob. 10DECh. 7.1 - Prob. 11DECh. 7.1 - Prob. 12DECh. 7.1 - Prob. 13DECh. 7.1 - Prob. 14DECh. 7.1 - Prob. 15DECh. 7.1 - Prob. 16DECh. 7.1 - Prob. 1RCCh. 7.1 - Prob. 2RCCh. 7.1 - Prob. 3RCCh. 7.1 - Prob. 4RCCh. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Length of Pregnancy. Marta was pregnant 270 days....Ch. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.2 - Multiply using mixed numerals. Multiply. 1. 312800Ch. 7.2 - Prob. 2SRCh. 7.2 - Prob. 1DECh. 7.2 - Prob. 2DECh. 7.2 - Prob. 3DECh. 7.2 - Prob. 4DECh. 7.2 - Prob. 5DECh. 7.2 - Prob. 6DECh. 7.2 - Prob. 7DECh. 7.2 - Prob. 8DECh. 7.2 - Prob. 9DECh. 7.2 - Prob. 10DECh. 7.2 - Prob. 11DECh. 7.2 - Prob. 12DECh. 7.2 - Prob. 13DECh. 7.2 - Prob. 14DECh. 7.2 - Prob. 15DECh. 7.2 - Prob. 1RCCh. 7.2 - Prob. 2RCCh. 7.2 - Prob. 3RCCh. 7.2 - Prob. 4RCCh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Planets. Use the following table, which lists...Ch. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Personal Consumption Expenditures. The following...Ch. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.3 - Prob. 1SRCh. 7.3 - Prob. 2SRCh. 7.3 - Prob. 1DECh. 7.3 - Prob. 2DECh. 7.3 - Prob. 3DECh. 7.3 - Prob. 4DECh. 7.3 - Prob. 5DECh. 7.3 - Prob. 6DECh. 7.3 - Prob. 7DECh. 7.3 - Prob. 8DECh. 7.3 - Prob. 1RCCh. 7.3 - Prob. 2RCCh. 7.3 - Prob. 3RCCh. 7.3 - Prob. 4RCCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - CITY COST OF LIVING INDEX Chicago 116.9 Denver W.4...Ch. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.4 - Prob. 1SRCh. 7.4 - Prob. 2SRCh. 7.4 - Prob. 1DECh. 7.4 - Prob. 2DECh. 7.4 - Prob. 3DECh. 7.4 - Prob. 4DECh. 7.4 - Prob. 1RCCh. 7.4 - Prob. 2RCCh. 7.4 - Prob. 3RCCh. 7.4 - Prob. 4RCCh. 7.4 - Prob. 5RCCh. 7.4 - Prob. 6RCCh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7 - Determine whether each statement is true or false....Ch. 7 - Prob. 2MCCh. 7 - Prob. 3MCCh. 7 - Prob. 4MCCh. 7 - Prob. 5MCCh. 7 - Prob. 6MCCh. 7 - Prob. 7MCCh. 7 - Prob. 8MCCh. 7 - Prob. 9MCCh. 7 - Prob. 10MCCh. 7 - Prob. 11MCCh. 7 - Prob. 12MCCh. 7 - Prob. 13MCCh. 7 - Prob. 14MCCh. 7 - Prob. 15MCCh. 7 - Prob. 16MCCh. 7 - Prob. 17MCCh. 7 - Prob. 18MCCh. 7 - Prob. 19MCCh. 7 - Prob. 20MCCh. 7 - Prob. 21MCCh. 7 - Prob. 22MCCh. 7 - Prob. 1VRCh. 7 - Prob. 2VRCh. 7 - Prob. 3VRCh. 7 - Prob. 4VRCh. 7 - Prob. 5VRCh. 7 - Prob. 6VRCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 1PECh. 7 - Prob. 2PECh. 7 - Prob. 3PECh. 7 - Prob. 4PECh. 7 - Prob. 5PECh. 7 - Prob. 6PECh. 7 - Prob. 7PECh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - Prob. 21TCh. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Prob. 24TCh. 7 - Prob. 25TCh. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 1CURCh. 7 - Prob. 2CURCh. 7 - Prob. 3CURCh. 7 - Prob. 4CURCh. 7 - Prob. 5CURCh. 7 - Prob. 6CURCh. 7 - Prob. 7CURCh. 7 - Prob. 8CURCh. 7 - Prob. 9CURCh. 7 - Prob. 10CURCh. 7 - Prob. 11CURCh. 7 - Prob. 12CURCh. 7 - Prob. 13CURCh. 7 - Prob. 14CURCh. 7 - Prob. 15CURCh. 7 - Prob. 16CURCh. 7 - Prob. 17CURCh. 7 - Prob. 18CURCh. 7 - Prob. 19CURCh. 7 - Prob. 20CURCh. 7 - Prob. 21CURCh. 7 - Prob. 22CURCh. 7 - Prob. 23CURCh. 7 - Prob. 24CURCh. 7 - Prob. 25CURCh. 7 - Prob. 26CURCh. 7 - Peanut Products. In any given year, the average...Ch. 7 - Prob. 28CURCh. 7 - Prob. 29CURCh. 7 - Prob. 30CURCh. 7 - Prob. 31CURCh. 7 - Prob. 32CURCh. 7 - Prob. 33CURCh. 7 - Prob. 34CURCh. 7 - Prob. 35CURCh. 7 - Prob. 36CURCh. 7 - Prob. 37CURCh. 7 - Prob. 38CUR
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