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Innovation in Information Technology
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Financial Risk Management and Derivative Instruments
Financial Risk Management and Derivative Instruments offers an introduction to the riskiness of stock markets and the application of derivative instruments in managing exposure to such risk.Structured in two parts, the first part offers an introduction to stock market and bond market risk as encountered by investors seeking investment growth.The second part of the text introduces the financial derivative instruments that provide for either a reduced exposure (hedging) or an increased exposure (speculation) to market risk.The fundamental aspects of the futures and options derivative markets and the tools of the Black-Scholes model are examined. The text sets the topics in their global context, referencing financial shocks such as Brexit and the Covid-19 pandemic.An accessible writing style is supported by pedagogical features such as key insights boxes, progressive illustrative examples and end-of-chapter tutorials.The book is supplemented by PowerPoint slides designed to assist presentation of the text material as well as providing a coherent summary of the lectures. This textbook provides an ideal text for introductory courses to derivative instruments and financial risk management for either undergraduate, masters or MBA students.
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Financial Calculus : An Introduction to Derivative Pricing
The rewards and dangers of speculating in the modern financial markets have come to the fore in recent times with the collapse of banks and bankruptcies of public corporations as a direct result of ill-judged investment.At the same time, individuals are paid huge sums to use their mathematical skills to make well-judged investment decisions.Here now is the first rigorous and accessible account of the mathematics behind the pricing, construction and hedging of derivative securities.Key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model are described with mathematical precision in a style tailored for market practitioners.Starting from discrete-time hedging on binary trees, continuous-time stock models (including Black-Scholes) are developed.Practicalities are stressed, including examples from stock, currency and interest rate markets, all accompanied by graphical illustrations with realistic data.A full glossary of probabilistic and financial terms is provided.This unique book will be an essential purchase for market practitioners, quantitative analysts, and derivatives traders.
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Fractional Derivative Modeling in Mechanics and Engineering
This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering.It describes in details the research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior.It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation.It also includes latest findings, such as variable order derivative, distributed order derivative and its applications.Different from other textbooks in this subject, the book avoids lengthy mathematical demonstrations, and presents the theories in close connection to the applications in an easily readable manner.This textbook is intended for students, researchers and professionals in applied physics, engineering mechanics, and applied mathematics.It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.
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What is the derivative or derivative function?
The derivative of a function represents the rate at which the function is changing at a particular point. It gives us information about the slope of the function at that point. The derivative function is the function that gives the derivative of the original function at every point where it is defined. It is used in calculus to solve problems related to rates of change, optimization, and finding the behavior of functions.
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Which derivative provides information about zeros, inflection points, etc.?
The second derivative provides information about zeros, inflection points, and concavity of a function. By analyzing the sign changes of the second derivative, we can determine the concavity of the function and locate inflection points where the concavity changes. Zeros of the second derivative can also provide information about the concavity of the function. Overall, the second derivative is a valuable tool for understanding the behavior of a function.
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Is the derivative the derivative function of f?
Yes, the derivative is the derivative function of f. The derivative of a function f at a point x is the instantaneous rate of change of the function at that point, and it is represented by f'(x) or dy/dx. The derivative function gives us the slope of the tangent line to the graph of f at any point x, and it provides important information about the behavior of the original function. Therefore, the derivative is indeed the derivative function of f.
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When is the second derivative and when is the first derivative?
The second derivative of a function is the derivative of the first derivative. In other words, it is the rate of change of the rate of change of the function. The first derivative, on the other hand, represents the rate of change of the function itself. Therefore, the second derivative is used to analyze the curvature and concavity of a function, while the first derivative is used to analyze the slope and direction of the function.
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Communication and Information Technology in (Intercultural) Language Teaching
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Is the derivative correct?
To determine if the derivative is correct, we need to check if it follows the rules of differentiation and if it accurately represents the rate of change of the function. We can verify the derivative by calculating it independently or using software like Wolfram Alpha. Additionally, we can compare the derivative to the original function to see if they align with our understanding of the function's behavior.
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What are derivative functions?
Derivative functions are a fundamental concept in calculus that represent the rate of change of a function at any given point. They provide information about how a function is changing, such as its slope or instantaneous rate of change. Derivatives are calculated by finding the limit of the average rate of change as the interval approaches zero, and they are used to solve problems in various fields such as physics, engineering, and economics.
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Which derivative is correct?
Without specific context or details, it is impossible to determine which derivative is correct. The correctness of a derivative depends on the function being differentiated and the rules or methods used to find the derivative. It is important to carefully follow the rules of differentiation and check for any mistakes in the process to ensure the correctness of the derivative. If there is a specific function or problem in question, providing more details would allow for a more accurate assessment of the correctness of the derivative.
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Is this derivative correct?
Without the specific derivative provided, I am unable to determine if it is correct. However, to verify the correctness of a derivative, you can use differentiation rules and techniques to check if the derivative was calculated accurately. Make sure to double-check your work and consider seeking assistance from a teacher or tutor if you are unsure.
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