Contemporary Mathematics for Business & Consumers
Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 17, Problem 7CR
To determine

The formula for the sum of digits of the useful life of an asset when n is the number of years of useful life of the asset.

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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.)
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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 17 Solutions

Contemporary Mathematics for Business & Consumers

Ch. 17.I - Prob. 7RECh. 17.I - Prob. 8RECh. 17.I - The Huffy Laundromat purchased new washing...Ch. 17.I - Prob. 10RECh. 17.I - Prob. 11RECh. 17.I - Prob. 12RECh. 17.I - Prob. 13RECh. 17.I - Prob. 14RECh. 17.I - Prob. 15RECh. 17.I - Prob. 16RECh. 17.I - Prob. 17RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 19RECh. 17.I - Prob. 20RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 22RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 24RECh. 17.I - Prob. 25RECh. 17.I - Prob. 26RECh. 17.I - Prob. 27RECh. 17.I - Prob. 28RECh. 17.I - Prob. 29RECh. 17.I - Prob. 30RECh. 17.I - Prob. 31RECh. 17.I - You are the accountant for Raleigh Industries, a...Ch. 17.I - BUSINESS DECISION: REPLACING AN ASSET Supreme Auto...Ch. 17.II - Prob. 5TIECh. 17.II - Prob. 6TIECh. 17.II - 1. Ink Masters Printing purchased a new printing...Ch. 17.II - Prob. 2RECh. 17.II - Prob. 3RECh. 17.II - Prob. 4RECh. 17.II - Prob. 5RECh. 17.II - All-That-Glitters Mining Company paid $49.250.000...Ch. 17.II - 7. Sequoia Timber Company purchased land...Ch. 17.II - Prob. 8RECh. 17 - Prob. 1CRCh. 17 - Prob. 2CRCh. 17 - 3. The useful _____ is the length of time an asset...Ch. 17 - Prob. 4CRCh. 17 - 5. Depreciation methods that assume an asset...Ch. 17 - Prob. 6CRCh. 17 - Prob. 7CRCh. 17 - 8. A method of accelerated depreciation that uses...Ch. 17 - Prob. 9CRCh. 17 - Prob. 10CRCh. 17 - Prob. 11CRCh. 17 - Prob. 12CRCh. 17 - Prob. 13CRCh. 17 - When natural resources are depleted, the average...Ch. 17 - Calculate the total cost, total depreciation, and...Ch. 17 - Calculate the total cost, total depreciation, and...Ch. 17 - Oxford Manufacturing. Inc., purchased new...Ch. 17 - Prob. 4ATCh. 17 - Prob. 5ATCh. 17 - Prob. 6ATCh. 17 - Prob. 7ATCh. 17 - Prob. 8ATCh. 17 - Prob. 9ATCh. 17 - Prob. 10ATCh. 17 - Prob. 11ATCh. 17 - Screen Gems Movie Theater purchased a new...Ch. 17 - Stone Age Concrete, Inc. MACRS Depreciation...Ch. 17 - Prob. 14ATCh. 17 - In January 2002. Marine Science Corporation was...
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