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Financial Derivatives, 2005. This paper discusses two topics relating to financial derivatives: The Black-Scholes valuation formula and credit derivatives. 3,040 words (approx. 12.2 pages), 6 sources, MLA, $ 89.95 »
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Abstract This paper explains that the Black-Scholes method is a very famous method for the valuation of an equity share and other variables related to the value of an equity share in the future months. The author points out that the key characteristics needed for the Black-Scholes formula are the price and price volatility of the underlying stock, coupled with the available rate of return on a risk free stock, under the assumption that trading in the concerned stock, along with the ability for exercise of the option, is continuous and unrestricted. The paper relates that credit derivatives are mechanisms for the credit institutions to separate the credit risk from their loans and treat market risk as a separate category so that their pricing efficiency could be more competitive and the concerned organizations could be more competitive in the market.
From the Paper "One can even buy securities at low prices on a forward basis. Generally, these are used in a manner similar to bonds which have a benchmark of comparable maturity. Thus, a bank may buy from an investor an option on the credit spread of a BBB-rated corporate bond which has a maturity after 5 years. For this, a premium will have to be paid. At the same time, the bank will have the right to sell the bond to the investor at a certain strike price. This strike price is in terms of a difference with treasury notes, and if the actual spread on the date of maturity of the deal, is more than the strike rate specified, then the option will not be used. If the actual difference is higher, then the bond may be purchased."
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Statistics Anxiety, 2006. An analysis of the imapct of statistics anxiety on graduate students. 1,200 words (approx. 4.8 pages), 43 sources, MLA, $ 41.95 »
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Abstract This paper studies how graduate students perceive the study of statistics and the impact that their anxiety about the subject matter has on their overall performance. The paper cites several research studies which indicate that statistics anxiety is quite high. Furthermore, the paper proves that this anxiety significantly erodes the overall quality and level of the students' research projects. The paper then offers suggestions to improve the teaching of statistics, as well as other suggestions to strengthen students' skills at statistical analysis.
From the Paper "Statistics anxiety has been defined simply as anxiety that occurs as a result of encountering statistics in any form and at any level (Onwuegbuzie, DaRos, & Ryan, 1997), and has been found to negatively affect learning (Onwuegbuzie & Seaman, 1995). Many researchers (Lazar, 1990; Lalonde & Gardner, 1993; Onwuegbuzie, 2000b) suggested that learning statistics is as difficult as learning a foreign language. On the other hand, statistics anxiety sometimes is not necessarily due to the lack of training or insufficient skills, but due to the misperception about statistics and negative experiences in a statistical class. For instance, students often think they do not have enough mathematics training so that they cannot do well in statistical classes. With fear of failing the course, they delay enrolling in statistics courses as long as possible, which often leads to failure to complete their degree programs (Onwuegbuzie, 1997). The lack of self-efficacy and higher anxiety in statistics keep many students away from engaging in research work or further to pursue an academic career. Therefore, statistics becomes one of the most anxiety-inducing courses in their programs of study (Blalock, 1987; Caine, Centa, Doroff, Horowitz, & Wisenbaker, 1978; Schacht & Stewart, 1990; Zeidner, 1991)."
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Mathematician Daniel Bernoulli, 2005. This paper discusses the life and achievements of mathematician Daniel Bernoulli. 1,995 words (approx. 8.0 pages), 6 sources, MLA, $ 63.95 »
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Abstract This paper explains that Daniel Bernoulli used his analytical skills across a broad range of scientific disciplines including probability, hydrodynamics, the flow of blood and blood pressure and Riccati's differential equations. The author points out that Daniel Bernoulli improved mathematical physics with his recognition of many of Newton's theories and his utilization of the more powerful calculus of Leibniz. The paper relates that Bernoulli's mathematical explanation of the behavior of gas led to Boyle's law.
Table of Contents
Introduction
Bernoulli's Contributions to Mathematics
Effect of Bernoulli's Work on Today's World
From the Paper "Aerodynamics is a subdivision of fluid mechanics that deals with the motion of air and other gaseous fluids, and with the forces acting on bodies in motion relative to such fluids. Some of the examples of aerodynamic actions are: the movement of an aircraft through the air, the wind forces applied on a structure and the working of a windmill. Daniel Bernoulli's principle is the main law dictating the motion of fluids, which links an increase in flow velocity to a decrease in pressure. For instance, for the same quantity of air at the entry to the venturi tube below to flow through the restriction in the middle, the air must accelerate."
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Calculus, 2006. An overview of the mathematical concept of calculus. 1,713 words (approx. 6.9 pages), 12 sources, MLA, $ 55.95 »
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Abstract Calculus is divided into two branches, one being differential and the other being integral. This paper provides an overview of calculus and examines the two branches in more detail. It also looks at the importance of calculus in the world today.
From the Paper "It must be stated that Newton's mathematics that involved 'fluxions' was one of the first forms of the area defined as 'differential calculus'. Although Newton used and preferred to use geometrical methods to algebraic equations, calculus methods had come into importance. However, calculus was not widely accepted at the time, and there were several philosophical objections to the science, but the fact remains that these objections over the years have made no difference to the application of the science."
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Derivatives, 2006. This paper analyzes the various methods in which derivatives are used in the areas of business and finance. 2,449 words (approx. 9.8 pages), 4 sources, APA, $ 74.95 »
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Abstract The writer of this paper defines a derivative as a contract that specifies the rights and obligations between the issuer of the security and the holder, to receive or deliver future cash flows based on some future event. This paper examines the various uses for derivatives which are standardized much the same as stock futures and traded through a securities exchange or futures exchange. This paper discusses the use of derivative securities as a tool to transfer risk. For example, a business can sell futures contracts on a product to a buyer, even before that particular item hits the shelf. The writer cites the various types of derivative options, such as the swap and the forward contract, which is an agreement between two parties to buy or sell a particular asset. A swap is an agreement in which, generally two, parties agree to exchange future cash flows, arising from financial instruments. This paper details how forward contracts are implemented in the corporate business world, as was the case with Lufthansa, who contracted with Boeing to purchase aircraft in the mid-1980s. This paper delves into the process known as financial engineering, which combines options and other derivatives while at the same time controlling the risk in a given transaction. This paper also discusses how derivatives are used as an option in tax planning.
From the Paper "A common use of options for tax planing involves the deferrment of a gain from one period to another, thereby delaying the payment of taxes. For example, one company may have an investment in another company's stock that has appreciated. Company A would like to lock in the gain on Company B's stock, but does not wish to recognize the gain in the current year. It can accomplish this by using put options. This strategy would involve buying put options at the current stock price, expiring in the next fiscal year. If the stock price declines, the value of the option would increase, locking in the profit. Another strategy would be to sell a call option at the current market price. This would also lock in the gain, as any decrease in the price of the stock would be offset the increased value of the option. These strategies can also be used to reduce the risk of a drop in the stock price without regard to tax issues."
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Mathematical Concepts, 2006. Examines the development and application of four mathematical concepts. 2,325 words (approx. 9.3 pages), 14 sources, MLA, $ 71.95 »
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Abstract This paper explores the development of four concepts: The Golden Ration, fractals, platonic solids and the artifice of Escher. It then examines how these mathematical concepts can be applied to real life.
From the Paper "The concept 'golden section' was first used by Martin Ohm in the 1835 in his book Die Reine Elementar-Mathematik. The first everEnglish use was seen in the article of James Sulley in 1875 which appeared in the 9th edition of the Encyclopedia Britannica. The symbol 'phi' was first used by Mark Barr at the inception of the 20th century in commemoration of the Greek sculptor Phidias, who was an extensive user of golden ratio in his works. Phi has surprising linkage with the continued fractions and the Euclidean algorithm for enumerating the Greatest Common Divisor of two integers and is also known as the Pisot Number."
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Chaos Theory, 2005. This paper applies chaos theory to business management. 1,070 words (approx. 4.3 pages), 6 sources, MLA, $ 37.95 »
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Abstract This paper explains that organizations are becoming aware of the serious need to cope with and quickly adapt to change; therefore, they increasingly are turning to chaos theory in order to understand and manage change in a dynamic business environment. The author points out that chaos theory, also known as non-linear systems theory, is based on the premise that the world is made up of complex systems that are non-linear, dynamic, unstable and unpredictable, contrasting sharp with Newtonian science, which believed that the universe functioned in an ordered, stable, linear and predictable manner. The paper relates that chaos theory has led to organizations being viewed as organic or living systems that will find orderly solutions if they are allowed to do so; however, organizational management needs to be more sensitized to environmental changes, leading to flexibility, responsiveness, dynamism and a reduced reliance on precise planning.
From the Paper "True, that discerning the underlying structure of the complex systems that bring about change is often difficult because there are a number of myriad factors involved. However, chaos theory is nevertheless useful in understanding and managing what was previously considered to be uncontrollable, chaotic events and behavior. This is achieved by defining chaos as "the range of behaviors that deterministic processes can adopt." One such deterministic process is deemed as the organizational culture and structure itself. Indeed, this is precisely the reason why modern organizations are moving towards decentralized, leaner, flatter structures that allow for employee empowerment, self-organization and emergence."
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Chaos Theory, 2005. This paper discusses chaos theory based on James Gleick's "Chaos: Making a New Science" and Ian Stewart's "Does God Play Dice?: The Mathematics of Chaos". 1,500 words (approx. 6.0 pages), 2 sources, MLA, $ 49.95 »
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Abstract This paper explains that James Gleick believes that chaos theory is revolution in thinking, a major shift from the ordered universe of Newton and even the less mechanical universe of Einstein. The author points out that chaos theory says that the universe is decided on the basis of chance to a great degree and that the aggregate of those chances cannot be predicted or even discerned to allow a clear cause-and-effect assessment. The paper relates that chaos theory says that a small change in a system, which takes place all the time and cannot be tracked or even relied upon, can produce more and more changes until something much greater and unforeseen occurs.
From the Paper "Ian Stewart is trained as a mathematician, while Gleick writes about science for the New York Times. Stewart is British, and Gleick American. They write about the same subject from different points of view. Stewart begins his book noting that the direction for creation has been first from chaos into order, and that physics has now found that order is something of an illusion masking the continuing chaos of reality. He also cites Newton and the Newtonian era as affirming that nature has laws and man can discover what these laws are. The world described by Newton was a clockwork world which operated like a machine, and Stewart discusses the nature of that world and world-view much more directly than does Gleick."
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Stephen William Hawking, 2005. Examines the life history and writings of this famous physicist and mathematician. 1,945 words (approx. 7.8 pages), 4 sources, MLA, $ 61.95 »
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Abstract In the world of science and history there are few great names that can match the name of Stephen William Hawking. Hawking is perhaps one of the best known physicist and mathematicians in history, or at least in modern times. This paper presents a close examination of the life and works of Stephen William Hawking. The writer explores his childhood to help determine how he became what he is today. The writer then examines his adult life, his works and his contributions to the world, as well as some of his more better-known theories and ideas.
From the Paper "Another difference between Hawking and many other scientists throughout the world is that he understands the world's need for laymen terms. Many scientists are reported to be so scientific and mathematically based that their works and words are boring and over the head of everyone but other scientists. Hawking understands the average person is not going to take time to dissect scientific jargon and he put together a book that explains many of the most mind boggling ideas in history in terms that can be understood by the non scientist."
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Math Anxiety, 2005. Examines the article "The Causes and Prevention of Math Anxiety" by Marilyn Curtain-Phillips. 791 words (approx. 3.2 pages), 1 source, APA, $ 28.95 »
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Abstract Marilyn Curtain-Phillips' article, "The Causes and Prevention of Math Anxiety" attempts to explain the causes of math anxiety among students young and old alike. This paper shows how the
article suggests that while math anxiety is something that is tangible and real, it is also something that can be conquered when it is approached from the right perspective.
From the Paper "Curtain-Phillips then goes on to suggest that teachers should alter the manner in which they teach math in order to help students feel more successful and realize higher levels of achievement in the classroom and out. The authors cites research conducted by Spikell in 1993 which suggests that students are more able to comprehensively learn actively rather than passively, meaning lessons should be presented in a manner that engages students actively. The article points out that lessons in math should be taught from a visual and special, logical and mathematical, body and kinesthetic, musical as well as verbal and linguistic perspective so that everyone is able to grasp information based on the manner in which they learn best."
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