Eigen values and eigen vectors. Calculus: Functions of single variable‚ Limit‚ continuity and differentiability‚ Mean value theorems‚Evaluation of definite and improper integrals‚ Partial derivatives‚ Total derivative‚ Maxima and minima‚Gradient‚ Divergence and Curl‚ Vector identities‚ Directional derivatives‚ Line‚ Surface and Volume integrals‚ Stokes‚ Gauss and Green’s theorems. Differential equations: First order equations (linear and nonlinear)‚ Higher order linear differential equations with
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that day‚ x‚ according to the function P = −25x2 + 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 x
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financial in the financial centers of the world." Barings main intention in Singapore was "to trade derivatives in a low risk‚ but very profitable arbitrage strategy." There is no actual tangible worth‚ but instead their value comes from "separating the risk portion from the underlying security and trading this derived element as a separate entity." There are two categories that derivatives fall in: options and futures. Option contracts allow the holder to buy or sell an underlying asset by
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FIN532M: Financial Derivatives Problem Set 2 DUE DATE: Feb. 12‚ 2015 1. How can you differentiate the forward price from the value of a forward contract? (2 points) 2. Explain why an FRA can be viewed as an exchange of a floating rate of interest for a fixed rate of interest payments and how you can use FRA in mitigating risks. (4 points) 3. The standard deviation of monthly changes in the spot price of live cattle is 1.2 cents per pound. The standard deviation of monthly changes in the futures
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accelerations of particles or points on rigid bodies‚ which prompts the use of ordinary differential equations (ODEs). We can use ordinary calculus to solve ODEs‚ provided that the functions are nicely behaved—which means continuous and with continuous derivatives. Unfortunately‚ there is much interest in engineering dynamical problems involving functions that input step change or spike impulses to systems—playing pool is one example. Now‚ there is an easy way to smooth out discontinuities in functions
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Beginners’ Module 1500 120 60 100 50 5 2 Mutual Funds : A Beginners’ Module 1500 120 60 100 50 5 3 Currency Derivatives: A Beginner’s Module 1500 120 60 100 50 5 4 Equity Derivatives: A Beginner’s Module 1500 120 60 100 50 5 5 Interest Rate Derivatives: A Beginner’s Module 1500 120 60 100 50 5 6 Commercial Banking in India:A Beginner’s Module 1500 120 60 100 50
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are now exposed to foreign exchange risks that were previously not a concern. In light of this new exposure‚ it has become imperative that we needed to determine whether or not Tiffany should implement a risk management program using financial derivatives to hedge against this risk. The first step in this evaluation was to determine the amount of profits that could be at risk. To do this‚ a pro forma income statement (see Table 2.1) was constructed for the remaining fiscal quarters of 1993.
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Answers to Exercises Microeconomic Analysis Third Edition Hal R. Varian University of California at Berkeley W. W. Norton & Company • New York • London Copyright c 1992‚ 1984‚ 1978 by W. W. Norton & Company‚ Inc. All rights reserved Printed in the United States of America THIRD EDITION 0-393-96282-2 W. W. Norton & Company‚ Inc.‚ 500 Fifth Avenue‚ New York‚ N.Y. 10110 W. W. Norton Ltd.‚ 10 Coptic Street‚ London WC1A 1PU 234567890 ANSWERS Chapter 1. Technology 1
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Universitatea Politehnica Bucuresti - FILS Systems of Differential Equations and Models in Physics‚ Engineering and Economics Coordinating professor: Valeriu Prepelita Bucharest‚ July‚ 2010 Table of Contents 1. Importance and uses of differential equations 4 1.1. Creating useful models using differential equations 4 1.2. Real-life uses of differential equations 5 2. Introduction to differential equations 6 2.1. First order equations 6 2.1.1. Homogeneous equations 6
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CFA ® CFA Level I Study Calendar | 2015 ® E XA M P R EP 2015 Study Calendar for Level I Essential Self Study and SchweserNotes ™ CFA Level I Curriculum Overview ® The Level I CFA® Exam The Level I exam consists of 240 questions: 120 in the morning session and 120 in the afternoon session. All Level I exam questions are multiplechoice with three possible answers. Each question stands alone; there are no multi-part questions or “double jeopardy” questions that would require a correct answer
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