College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
10th Edition
ISBN: 9780134690339
Author: Cheryl Cleaves, Margie Hobbs
Publisher: PEARSON
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Chapter 6.1, Problem 1LC
To determine
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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.)
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 6 Solutions
College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
Ch. 6.1 - What is 32% of 136?
Ch. 6.1 - Prob. 2LCCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...Ch. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...
Ch. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...Ch. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Use Fig. 6–8 to answer Exercises...Ch. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Use Figure 6–10 to answer Exercises...Ch. 6.1 - Use Figure 6–10 to answer Exercises 21–24.
22. In...Ch. 6.1 - Use Figure 6–10 to answer Exercises 21–24.
23. By...Ch. 6.1 - Use Figure 6–10 to answer Exercises...Ch. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.2 - Find the average of 29, 19, 28, and 20.
Ch. 6.2 - Prob. 2LCCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - A baseball player batted 276 home runs over a...Ch. 6.2 - Noel Womack scored 87, 96, 86, 92, and 93 in...Ch. 6.2 - AUTO An automobile used 32 gal of regular gasoline...Ch. 6.2 - AUTO A pickup truck used 25 gal of regular...Ch. 6.2 - CON U.S. cement export data for the last 10 years...Ch. 6.2 - CON World cement production data for the last 20...Ch. 6.2 - Based on a 5-point system (A = 4, B = 3, C = 2, D...Ch. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - BUS The following hourly pay rates are used at a...Ch. 6.2 - CON Find the median number of tons of concrete...Ch. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Find the mode for each data set.
$56, $67, $32,...Ch. 6.2 - Find the mode for each data set.
$32, $87, $67,...Ch. 6.2 - BUS These weekend work shifts are in effect at a...Ch. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Prob. 52ECh. 6.2 - Use the given hourly pay rates (rounded to the...Ch. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.2 - Prob. 69ECh. 6.2 - Prob. 70ECh. 6.2 - Find the grouped mean for the data in Table 6–7....Ch. 6.2 - Prob. 72ECh. 6.3 - Prob. 1LCCh. 6.3 - Prob. 2LCCh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Find the range for each data set.
23°F, 37°F,...Ch. 6.3 - AG/H Find the range for cherry production in...Ch. 6.3 - Use Table 6–8 to answer Exercises...Ch. 6.3 - Use Table 6–8 to answer Exercises...Ch. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Find the midrange for cherry production in states...Ch. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Find the quartiles for the set of total blood...Ch. 6.3 - Find the inner-quartile range for the data in...Ch. 6.3 - Find the inner-quartile range for the data in...Ch. 6.3 - Find the following percentiles for the scores in...Ch. 6.3 - Find the following percentiles for scores in...Ch. 6.3 - Find the standard deviation for each data set....Ch. 6.3 - Find the standard deviation for each data set....Ch. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Use Table 6–8 to answer Exercises...Ch. 6.3 - HLTH/N The population mean length of a hospital...Ch. 6.3 - HLTH/N Research has documented that the mean...Ch. 6.3 - HLTH/N Pediatricians work an average of 50 h per...Ch. 6.3 - HLTH/N In a sample of 80 pediatricians, how many...Ch. 6.3 - HLTH/N In a sample of 200 surgery patients, how...Ch. 6.4 - Evaluate 26.
Ch. 6.4 - Prob. 2LCCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Prob. 81RECh. 6 - Prob. 82RECh. 6 - Prob. 1CACh. 6 - Prob. 2CACh. 6 - Prob. 3CACh. 6 - Prob. 4CACh. 6 - Prob. 5CACh. 6 - Prob. 6CACh. 6 - Prob. 7CACh. 6 - Prob. 8CACh. 6 - Prob. 9CACh. 6 - Prob. 10CACh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 26PTCh. 6 - Prob. 27PTCh. 6 - Prob. 28PTCh. 6 - Prob. 29PTCh. 6 - Millie has in her makeup bag three green eye...Ch. 6 - Prob. 31PTCh. 6 - Prob. 32PTCh. 6 - Prob. 33PTCh. 6 - Prob. 34PTCh. 6 - Prob. 35PTCh. 6 - Prob. 36PTCh. 6 - Prob. 1CPTCh. 6 - Prob. 2CPTCh. 6 - Prob. 3CPTCh. 6 - Change to the indicated unit.
0.159 dkm = ________...Ch. 6 - Prob. 5CPTCh. 6 - Prob. 6CPTCh. 6 - Prob. 7CPTCh. 6 - Prob. 8CPTCh. 6 - Prob. 9CPTCh. 6 - Prob. 10CPTCh. 6 - Prob. 11CPTCh. 6 - Prob. 12CPTCh. 6 - Prob. 13CPTCh. 6 - Prob. 14CPTCh. 6 - Prob. 15CPTCh. 6 - Prob. 16CPTCh. 6 - Prob. 17CPTCh. 6 - Prob. 18CPTCh. 6 - Prob. 19CPTCh. 6 - Prob. 20CPTCh. 6 - Prob. 21CPTCh. 6 - Prob. 22CPTCh. 6 - Prob. 23CPTCh. 6 - Prob. 24CPTCh. 6 - Prob. 25CPTCh. 6 - Prob. 26CPTCh. 6 - Prob. 27CPTCh. 6 - Prob. 28CPTCh. 6 - Prob. 29CPTCh. 6 - Prob. 30CPTCh. 6 - Prob. 31CPTCh. 6 - Prob. 32CPTCh. 6 - Prob. 33CPTCh. 6 - Prob. 34CPTCh. 6 - Prob. 35CPTCh. 6 - Prob. 36CPTCh. 6 - Prob. 37CPTCh. 6 - Prob. 38CPTCh. 6 - Prob. 39CPTCh. 6 - Complete the data table to make a relative...
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