Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 3.II, Problem 25RE
To determine
To calculate: The product
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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.)
3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i,
and i.
(a) Verify the relations between this roots and the coefficients of the polynomial.
(b) Find the annulus region in which the roots lie.
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c.
Question content area bottom
Part 1
a. Develop a simple linear regression model between billable hours and overhead costs.
Overhead
Costsequals=212495.2212495.2plus+left parenthesis 42.4857 right parenthesis42.485742.4857times×Billable
Hours
(Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.)
Part 2
b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm?
Interpret the fixed term,
b 0b0,
if appropriate. Choose the correct answer below.
A.
The value of
b 0b0
is the predicted billable hours for an overhead cost of 0 dollars.
B.
It is not appropriate to interpret
b 0b0,
because its value…
Chapter 3 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 3.I - Read and write the following numbers in word...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Write the following numbers in word form.
Ch. 3.I - Write the following numbers in word form. 2.48Ch. 3.I - Write the following numbers in word form.
3. ...Ch. 3.I - Write the following numbers in word form.
4....Ch. 3.I - Prob. 5RECh. 3.I - Write the following numbers in word form. .000033Ch. 3.I - Write the following numbers in word form. .00938Ch. 3.I - Prob. 8RE
Ch. 3.I - Write the following numbers in word form. .0005712Ch. 3.I - Write the following numbers in word form.
10....Ch. 3.I - Prob. 11RECh. 3.I - Prob. 12RECh. 3.I - Prob. 13RECh. 3.I - Write the following numbers in numerical form....Ch. 3.I - Prob. 15RECh. 3.I - Write the following numbers in numerical form.
16....Ch. 3.I - Prob. 17RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 19RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 23RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - Prob. 25RECh. 3.I - Round the following numbers to the indicated...Ch. 3.I - You are the assistant to the production manager...Ch. 3.II - Perform the indicated operation....Ch. 3.II - Prob. 4TIECh. 3.II - Prob. 5TIECh. 3.II - Prob. 1RECh. 3.II - Perform the indicated operation for the...Ch. 3.II - Prob. 3RECh. 3.II - Prob. 4RECh. 3.II - Prob. 5RECh. 3.II - Prob. 6RECh. 3.II - Prob. 7RECh. 3.II - Prob. 8RECh. 3.II - Prob. 9RECh. 3.II - Prob. 10RECh. 3.II - Prob. 11RECh. 3.II - 12. Subtract fifteen and eighty-eight...Ch. 3.II - Prob. 13RECh. 3.II - 14. In one week of training for the San Francisco...Ch. 3.II - Prob. 15RECh. 3.II - Last week Kate Burke ran a 5-kilometer race in...Ch. 3.II - Prob. 17RECh. 3.II - Faith Sherlock received her monthly pension check...Ch. 3.II - 19. Use the chart “The Pet Story” to answer the...Ch. 3.II - Prob. 20RECh. 3.II - Prob. 21RECh. 3.II - Prob. 22RECh. 3.II - Prob. 23RECh. 3.II - Prob. 24RECh. 3.II - Prob. 25RECh. 3.II - Prob. 26RECh. 3.II - Prob. 27RECh. 3.II - Prob. 28RECh. 3.II - Prob. 29RECh. 3.II - Prob. 30RECh. 3.II - Prob. 31RECh. 3.II - Prob. 32RECh. 3.II - Divide the following numbers. Round to hundredths...Ch. 3.II - Prob. 34RECh. 3.II - Prob. 35RECh. 3.II - Sam Estero received a $50 gift card to iTunes for...Ch. 3.II - Prob. 37RECh. 3.II - 38. Jimmie Masters earns $4,825.50 per month as a...Ch. 3.II - USA Today reported that Ethiopian Airlines had...Ch. 3.II - Prob. 40RECh. 3.II - Prob. 41RECh. 3.II - Edward Nolan has room for 26 bedding plants in his...Ch. 3.II - Prob. 43RECh. 3.II - Prob. 44RECh. 3.II - 45. Tim Meekma owns a PepsiCo vending truck that...Ch. 3.II - According to the Food and Nutrition Service of the...Ch. 3.III - Convert the following decimals to their fractional...Ch. 3.III - Prob. 7TIECh. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following decimals to fractions and...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - Convert the following fractions to decimals. Round...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - For the following numbers, perform the indicated...Ch. 3.III - a. You are planning a party for your bowling...Ch. 3.III - Catalina Jewelers has 147.25 ounces of 14-carat...Ch. 3.III - a. What is the total cost of fuel for a 4,602 mile...Ch. 3.III - Ever Ready taxicabs charge 1.20 for the first 14...Ch. 3.III - You are the purchasing manager for Five Star...Ch. 3.III - 20. You are the manager of Rally Rent-a-car. A...Ch. 3.III - 21. You are a loan officer at the West Elm Savings...Ch. 3 - 1. As with fractions, ________ are a way of...Ch. 3 - The ________ ________ separates the whole number...Ch. 3 - 3. When rounding decimals, we delete all digits to...Ch. 3 - When rounding monetary amounts, we round to the...Ch. 3 - When adding or subtracting decimals, we begin by...Ch. 3 - 6. When adding or subtracting decimals, we work...Ch. 3 - 7. In the multiplication of decimals, the product...Ch. 3 - 8. When multiplying a decimal by a power of 10, as...Ch. 3 - When dividing decimals, the basic rule is that you...Ch. 3 - 10. When dividing a decimal by a power of 10, as a...Ch. 3 - When converting a decimal to a fraction, we...Ch. 3 - 12. To convert a fraction to a decimal, we divide...Ch. 3 - Write the following numbers in word form. .61Ch. 3 - Write the following numbers in word form. 34.581Ch. 3 - Write the following numbers in word form. $119.85Ch. 3 - Write the following numbers in word form.
4.
Ch. 3 - Write the following numbers in word form.
5.
Ch. 3 - Write the following numbers in numerical form.
6....Ch. 3 - Write the following numbers in numerical form.
7....Ch. 3 - Write the following numbers in numerical form.
8....Ch. 3 - Write the following numbers in numerical form.
9....Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Round the following numbers to the indicated...Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Prob. 18ATCh. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the following....Ch. 3 - Perform the indicated operation for the...Ch. 3 - Perform the indicated operation for the...Ch. 3 - Convert the following decimals to fractions and...Ch. 3 - Convert the following decimals to fractions and...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Convert the following fractions to decimals. Round...Ch. 3 - Gary Scott can buy a box of 40 Blu-ray discs for...Ch. 3 - Two Wheeler-Dealer Bike Shop has a 22-inch...Ch. 3 - The chief financial officer of Allied Corporation...Ch. 3 - 34. A spindle of 50 blank DVD discs costs $16.90....Ch. 3 - Liz Thorton has signed up for a one-semester class...Ch. 3 - At Magers Market, a 24-bottle case of spring water...Ch. 3 - 37. Maria Lopez shares an apartment with a friend....Ch. 3 - Ryan Miller wanted to make some money at a flea...Ch. 3 - 39. A cargo ship, The Caribbean Trader, has a...Ch. 3 - As the food manager for a local charity, you are...Ch. 3 - Prob. 41AT
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