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# Derivative Essay Topics & Paper Examples

Real World Quadratic Functions

Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = ? 25×2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit? In order to find the point at which profit is maximized, I must find the critical points of the first derivative of the equation. Coefficient of x^2 is negative, so the maximum value of P will be found at the parabola’s vertex. I also know that it has to be symmetric, so the average of or mid-point between the roots of the function will give me the…

Measurement of Free-Fall Acceleration

Introduction Galileo Galilei (1564-1642), the man first accredited with the correct notion of free-fall with uniform acceleration, stated that ‘if one were to remove entirely the resistance of the medium, all materials would descend with equal speed.’ Today, this statement holds true for all objects in free-fall near the Earth’s surface. The purpose of this experiment is to verify Galileo’s assertion that acceleration is constant. In addition, the magnitude of acceleration will be calculated. Theory By definition, acceleration is the rate of change of velocity with respect to time. Instantaneous acceleration is the derivative of velocity with respect to time. a(t) = dv / dt. Average acceleration is the change in velocity during a time interval, Dt, divided by the…

Mncs and Hedging Technique

MNCs will normally compare the cash flows that could be expected from each hedging technique before determining which technique to apply. A futures hedge involves the use of currency futures. To hedge future payables, the firm may purchase a currency futures contract for the currency that it will be required. A forward hedge differs from a futures hedge in that forward contracts are used instead of futures contract to lock in the future exchange rate at which the firm will buy or sell a currency .An exposure to exchange rate movements need not necessarily be hedged, despite the ease of futures and forward hedging. Based on the firm’s degree of risk aversion, the hedge-versus-no-hedge decision can be made by comparing…

Natureview Farm Case – Executive Summary

Objectives 1. Grow Natureview’s revenue to \$20M by calendar year end 2001. 2. Position Natureview for acquisition and / or find a new investor. Our Solution With opportunities such as the one presented in the Natureview Farm case, executives and corporate leaders have a tendency to focus exclusively on the stated revenue objective. We believe that doing so is short sighted and will not best position Natureview for acquisition or additional equity investment, either via a private equity sponsor or via a business to business transaction. There are several options being considered by Natureview, however; taken independently, these options will either not meet the revenue objective or will have an adverse impact on margin. The erosion of margin should be…

Creating Methodology

1. Discuss factors about the corporate culture that were at play, and suggest central reasons why the executive staff waited as long as they had to consider the development of an enterprise project management methodology (EPM). 2. Recommend to both the senior executives (i.e., the company) and John Compton (i.e., the president) whether the project management office (PMO) should report to the chief information officer (CIO) or to someone else. Justify the response. 3. Use at least three (3) quality references.Note: Wikipedia and (3). “Difference Quotient” A classmate states that the difference quotient of any linear function f(x) = mx + b is always m. Explain if you agree or disagree with this statement, and state why. I disagree because…

Selling Executives on Project Management

1. Discuss factors about the corporate culture that were at play, and suggest central reasons why the executive staff waited as long as they had to consider the development of an enterprise project management methodology (EPM). 2. Recommend to both the senior executives (i.e., the company) and John Compton (i.e., the president) whether the project management office (PMO) should report to the chief information officer (CIO) or to someone else. Justify the response. 3. Use at least three (3) quality references.Note: Wikipedia and (3). “Difference Quotient” A classmate states that the difference quotient of any linear function f(x) = mx + b is always m. Explain if you agree or disagree with this statement, and state why. I disagree because…

Analysis of TSUI WAH

ANALYSIS OF FINANCIAL STATEMENT The company uses two statements for reporting its profit or loss and other comprehensive income. The following details is shown: STAFF COSTS Staff costs increased by approximately HK\$108.5 million, or approximately 37.8% from the year ended 31 March 2013 to 2014. The salary levels of employees in the food and catering sector has been generally rising in recent years. The increase was attributable to higher salaries and new staff recruited for the newly opened restaurants. PROFIT BEFORE TAX As a result of the higher revenue attributable to the strong growth in restaurant sales due to the quality food offered, the establishment of new restaurants and introduction of new items to the Group’s menu from time to…

Stock option case study

Congratulations, your firm has just won a new engagement for the December 31, 2012 audit of Stock It (the Company). You are the lead senior on the engagement and thus were delegated the task of auditing the client’s equity balances. In review, you noted that the client has a significant amount of stock options issued to their employees, a means that many start-up companies use to compensate employees and entice them to put in the effort to make the company successful. Stock It acquired Options R Us on December 28, 2011 and merged Options R Us into their operations. When examining the stock option details, you noted that Options R Us had a stock option plan, the ORU 2007 Plan,…

J&L and Hedging

J&L Railroad should take a long position. They need to purchase diesel fuel in the future, they don’t produce diesel fuel, so they would want to take a future to be able to lock in the price of diesel fuel for future purchases. 2. What problems could the use of heating oil futures for hedging create for J&L? Note: I assume this question is asking about heating oil specifically not futures in general. As heating oil is not the same product as diesel fuel, therefore there could still be some exposure (risk) for J&L. There has been a historical correlation between heating oil prices and diesel fuel prices, but this might not be true for the future. The futures for…

J&L and Hedging

1. J & L can use heating oil futures to hedge its exposure to diesel fuel prices. Which futures position should J & L take? Explain. J&L Railroad should take a long position. They need to purchase diesel fuel in the future, they don’t produce diesel fuel, so they would want to take a future to be able to lock in the price of diesel fuel for future purchases. 2. What problems could the use of heating oil futures for hedging create for J&L? Note: I assume this question is asking about heating oil specifically not futures in general. As heating oil is not the same product as diesel fuel, therefore there could still be some exposure (risk) for J&L….

Enron Weather Derivatives Case Summary

Pacific Northwest Electric was a significant producer of electric power. Seasons are a big deal to electricity companies: the colder the weather, the more electricity consumers use to power their heating. Looking back the last few years, CFO Mary Watts (an incredible electricity pun!) noticed a trend of relatively warm winters which in turn resulted in less-than-optimal financial results. Though the 1990’s are remembered as a time of a healthy economy, PNW suffered from a stagnant earnings-per-share growth during this period. After receiving a report of yet another warmer winter coming, Watts turned to a product offered by Enron Corporation that claimed to minimize weather-related volume risk. There are many reasons derivatives could help PNW’s exposure to weather risk. For…

Physics lab report-motion

Introduction A toy company is now making an instructional videotape on how to predict the position. Therefore, in order to make the prediction accurate, how the horizontal and vertical components of a ball’s position as it flies through the air should be understood. This experiment is to calculate functions to represent the horizontal and vertical positions of a ball. It does so by measuring and calculating the components of the position and velocity of the ball during the toss. Therefore, we can also calculate the acceleration during the procedure. Prediction The x-axis is located on the ground level horizontally, pointing to where the ball is initially thrown, that is opposite the direction the ball flies. The vertical y-axis passes through…

Real World Radical Formulas

Radical formulas are used in many fields of the real world; some examples are in finance, medicine, engineering, and physics. These are just a few. In the finance department they use it to find the interest, depreciation and compound interests. In medicine it can be used to calculate the Body Surface of an adult (BSA), in engineering it can be used to measure voltage. These formulas are vital and important to the people working in these fields of work. Our week 3 assignment requires that we find the capsizing screening value for the Tartan 4100, solve the formula for variable of d, and find the displacement in which the Tartan 4100 is safe for ocean sailing. The problem is broken…

Total, Average, and Marginal Product

Total, average, and marginal product Total Product Curve The total product (or total physical product) of a variable factor of production identifies what outputs are possible using various levels of the variable input. This can be displayed in either a chart that lists the output level corresponding to various levels of input, or a graph that summarizes the data into a “total product curve”. The diagram shows a typical total product curve. In this example, output increases as more inputs are employed up until point A. The maximum output possible with this production process is Qm. (If there are other inputs used in the process, they are assumed to be fixed.) The average physical product is the total production divided…

Kelly Services

Kelly Services Inc This case is really focusing on the issue of a company that needs to consider taking on debt. Kelly Services Inc. is going through a period were they are going through some major expansion. With major expansion needs the urge to find investors. When you find investors you need to take on debt, the good thing about debt is you are able to generate profit without having to put a dollar down. So if the debt increases, yes he will be leveraged, but through the company leveraging it gives it the opportunity to generate more of a return in the long run. It says the pay out ratio is 28 percent. For the cases of Olsten and…