Section 2.3 Basic Differentiation Formulas 2010 Kiryl Tsishchanka Basic Differentiation Formulas DERIVATIVE OF A CONSTANT FUNCTION: d (c) = 0 dx c′ = 0 or Proof: Suppose f (x) = c‚ then f (x + h) − f (x) c−c 0 = lim = lim = lim 0 = 0 h→0 h→0 h→0 h h→0 h h f ′ (x) = lim EXAMPLES: ′ 1 = 0‚ ′ 5 = 0‚ ′ 0 = 0‚ ′ (−7/9) = 0‚ √ 1+ 5 2 ′ π = 0‚ ′ = 0‚ √ (x 3 x + 1 − x4/3 )′ = 0 THE POWER RULE: If n is a positive integer‚ then d n (x ) = nxn−1 dx or (xn )′ = nxn−1 Proof: Before we prove
Premium Derivative
Case Study Essay – Hedging Currency Risks at AIFS The American Institute for Foreign Study (AIFS) is offering cultural exchange programs for American students and High School pupils throughout the world. Their customers have the possibility to go abroad while the AIFS organises the whole trip for them. Due to their business model the revenues of the company are denominated only in USD‚ since the offer is for American students who pay in USD. Meanwhile the costs of the company is mostly denominated
Premium Currency United States dollar Derivative
recognized as modern mathematics starting point. Leibniz’s Nova Methodus pro Maximis et Minimis‚ itemque Tangentibus… in Acta Eruditorum‚ in 1684‚ published Leibniz’s details of his ideas of differential calculus. The paper contained the d notation‚ the derivatives of powers rule‚ the quotient rule‚ and product rule. But the journal did not contain any proof of the ideas. In Acta Eruditorum‚ a paper was published by Leibniz which dealt with calculus integrals and had the first appearance of the integral notation
Premium Gottfried Leibniz Calculus Derivative
PLEKHANOV RUSSIAN UNIVERSITY OF ECONOMICS INTERNATIONAL BUSINESS SCHOOL Case Study HEDGING CURRENCY RISKS at AIFS Risk Management Master’s Degree Students: Bostandzhyan Kristina Inarkaeva Lamara Kirpichnikova Mariya Starovoytov Stanislav Sysoev Alexander Supervisor: Yulia Finogeeva Moscow 2015 INTRODUCTION AND PROBLEM STATEMENT AIFS is an American based company which was found in the U.S. in 1964. There are two main divisions in the company: the College division‚ which offers
Premium United States dollar Exchange rate Forward contract
Pounds (GBP). Consequently‚ foreign exchange hedging has a crucial importance for the company because it provides protection against different types of risk that derive from its activity. In order to reduce risk‚ the company is using two hedging derivatives: forward contracts and put options to sell dollars. The aim of the paper is to determine an appropriate hedging policy which answers two main questions: how much to hedge‚ and in what proportions of forwards versus options. First‚ a description
Premium Futures contract Forward contract Foreign exchange market
Paper 1.4: QUANTITATIVE METHODS Unit – 1 Basic Mathematical concepts : Nature of quantitative analysis in the practice of management – problem definition – Models and their development – Concept of trade off – Notion of constants – Variables and function – Linear and Non-linear – Simple examples. Graphical representation of functions and their application – Concepts of slope and its relevance – Plotting graphs of functions. Use of functional relationships to understand elasticity of demands. Productive
Premium Polynomial Derivative Variable cost
risk‚ it can choose either forward contracts or options. Explain how Tiffany can hedge using forward contracts? How to hedge using options? The available forward contracts and options are described in Exhibit 8‚ assuming Tiffany can only use those derivatives to hedge. Based on what you have learned in this course‚ what are the pros and cons of using options to hedge compared to using forward contracts to hedge? 6. Your Decision. If you were CFO of Tiffany‚ what would you have done in July 1993
Premium United States dollar Strike price Put option
CASE: American Barrick Resources Corporation : Managing Gold Price Risk 1. In the absence of a hedging program using financial instruments‚ how sensitive would Barrick stock be to gold price changes? For every 1% change in gold prices‚ how might its stock be affected? How could the firm manage its gold price exposure without the use of financial contracts? Particulars for yr 1992($ million) | | Pretax earnings (Exhibit 2) | 223 | Reductions in earning of gold sold at spot (1280mn oz
Premium Forward contract Risk management Futures contract
Get an answer from tutors to this homework question now: Chapter 5 Blades‚ Inc. Case Use of Currency Derivative Instruments Blades‚ Inc. needs to order supplies 2 months ahead of the delivery date. It is considering an order from a Japanese supplier that requires a payment of 12.5 million yen payable as of the delivery date. Blades has two choices: Purchase two call options contracts (since each option contract represents 6‚250‚000 yen). Purchase one futures contract (which represents 12.5 million
Premium Futures contract Option Derivative
meet the obligations of trading‚ Leeson opened on behalf of the Bank. Nicholas William Leeson‚ which is popularly called Nick Leeson have do dark transaction‚ which is actually outside its authority in 1992. Shortly‚ after he was allowed to trade derivatives at Barings Futures Singapore (BFS)‚ a business unit of Baring Bank who runs the Bank’s activities in SIMEX (Singapore International Monetary Exchange). QUESTION : 2. What are the management boards of Baring’s mistakes in this case? ANSWER : Management
Premium Barings Bank Derivative Nick Leeson