# ( ) = ( ) = {,,, } β ( ), < 1 ( ) + ( ) = ( ) + ( )

Save this PDF as:

Size: px
Start display at page:

Download "( ) = ( ) = {,,, } β ( ), < 1 ( ) + ( ) = ( ) + ( )"

## Transcription

1

2

3

4 { } ( ) = ( ) = {,,, } ( ) β ( ), < 1 ( ) + ( ) = ( ) + ( )

5 max, ( ) [ ( )] + ( ) [ ( )], [ ( )] [ ( )] = =, ( ) = ( ) = 0 ( ) = ( ) ( ) ( ) =, ( ), ( ) =, ( ), ( ). ln ( ) = ln ( ). + 1

6 ( ) = ( ) Ω[ ( )] = [ ( )] + ( ) [ ( )]. ( ) [ ( )] > 0 ( ) [ ( )] Ω[ ( )]. + 1

7 ( ) [ ( )] + [ ( )] + ( ) ( ) [ ( )] Ω [ ( )] + ( ) ( ), ( ) Μ ( ) = Μ ( ) + ( ) Μ ( ) = Μ ( ) ( ) = ( ) ( ) ( ) Μ ( ) [ ( )] + ( ) [ ( )] Ω [ ( )] + ( ) ( ). [ ( )] [ ( )] = Μ ( ) + ( ) Μ ( ) + ( ). Μ ( ) + ( ) = Μ ( ) Μ ( ) Μ ( ) = ( ) + [ ( )] [ ( )] = + ( ) + ( ). ( ) = ( ) ( ) = + ( ) + ( ). ( )

8

9

10

11 ln, ) ln, = β=0

12 ln, =

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

### SOLVING EQUATIONS WITH EXCEL

SOLVING EQUATIONS WITH EXCEL Excel and Lotus software are equipped with functions that allow the user to identify the root of an equation. By root, we mean the values of x such that a given equation cancels

### Principles of Fracture Mechanics

8-1 CHAPTER 8 FAILURE PROBLEM SOLUTIONS Principles of Fracture Mechanics 8.1 This problem asks that we compute the magnitude of the maximum stress that exists at the tip of an internal crack. Equation

### Chapter 15. Option on Stock Indices and Currencies. Promble Promble Promble Promble Finger 15.1 Tree for Promble 15.

Chapter 15 Option on Stock Indices and Currencies Promble 15.1. When the index goes down to 7, the value of the portfolio can be expected to be 1*(7/8)=\$8.75 million.(this assumes that the dividend yield

### Selecting measures for the prevention of accidents at work in a hospital: scientific background

Selecting measures for the prevention of accidents at work in a hospital: scientific background N. Fraeyman, F. Buckens, F. Colardyn Ghent University Hospital Ghent, Belgium 1 2 2 Presentation Introduction

### Solving Exponential Equations

Solving Exponential Equations Deciding How to Solve Exponential Equations When asked to solve an exponential equation such as x + 6 = or x = 18, the first thing we need to do is to decide which way is

R&C sponsored Vehicle R&C New Sponsored Vehicle This Spotlight Ad provides top positioning on the main landing pages of the Research & Compare area to captures consumers as they start their research. Messaging

### Loans Practice. Math 107 Worksheet #23

Math 107 Worksheet #23 Loans Practice M P r ( 1 + r) n ( 1 + r) n =, M = the monthly payment; P = the original loan amount; r = the monthly interest rate; n = number of payments 1 For each of the following,

### Access Health CT Small Business

STEP 2 Horizontal Plan Selection: Bronze Metal Tier Your employer has chosen to offer the Horizontal Plan Selection. This option gives you access to all carriers and plans available in the Bronze Metal

### Condensing unit VLC 524 1204. 154-347 kw HFC 410A. Scroll. Condensing unit

116 Condensing unit Condensing unit VLC 524 1204 154-347 kw HFC 410A Technical features 8 sizes. Cooling capacity from 154 to 347 kw. 4 versions: STD (Standard); HSE (High Seasonal Efficiency); HT (High

### G1RT-CT-2001-05071 D. EXAMPLES F. GUTIÉRREZ-SOLANA S. CICERO J.A. ALVAREZ R. LACALLE W P 6: TRAINING & EDUCATION

D. EXAMPLES 316 WORKED EXAMPLE I Infinite Plate under fatigue Introduction and Objectives Data Analysis 317 INTRODUCTION AND OBJECTIVES One structural component of big dimensions is subjected to variable

### Max. Length of HTS Cables in the Future

Max. Length of HTS Cables in the Future K. Schippl, Nexans Deutschland Industries, Hannover, Germany TOPICS: Limitation of the cable design: 1. Physical limitations 2. Shipping limitations 3. Maintenance

### Option Premium = Intrinsic. Speculative Value. Value

Chapters 4/ Part Options: Basic Concepts Options Call Options Put Options Selling Options Reading The Wall Street Journal Combinations of Options Valuing Options An Option-Pricing Formula Investment in

### Rectifier circuits & DC power supplies

Rectifier circuits & DC power supplies Goal: Generate the DC voltages needed for most electronics starting with the AC power that comes through the power line? 120 V RMS f = 60 Hz T = 1667 ms) = )sin How

### Chain Rule To differentiate composite functions we have to use the Chain rule. Composite functions are functions of a function.

Differentiation Workshop: Differentiation the rules Topics Coered: Chain rule Proct rule Quotient rule Combinations Chain Rule To differentiate composite functions we hae to use the Chain rule. Composite

### FOR THE PERIOD SF 1500 SF 1500 SF 1500 SF Notes: Arr SF

1 January 22 March 1 January 22 March 18.45 21.40 15.30 30 March 1 May 21.20 00.35 Not on 1/5. Add. dept.: 30/4 (SF1500) dep.. 15.50 06.15 20.50 Arr 17.50 11.40 14.35 16.10 19.05 20.45 22.00 16.50 13.35

### Collective behaviour in clustered social networks

Collective behaviour in clustered social networks Maciej Wołoszyn 1, Dietrich Stauffer 2, Krzysztof Kułakowski 1 1 Faculty of Physics and Applied Computer Science AGH University of Science and Technology

### Finance 30220 Solutions to Problem Set #3. Year Real GDP Real Capital Employment

Finance 00 Solutions to Problem Set # ) Consider the following data from the US economy. Year Real GDP Real Capital Employment Stock 980 5,80 7,446 90,800 990 7,646 8,564 09,5 Assume that production can

### CS 261 Fall 2011 Solutions to Assignment #4

CS 61 Fall 011 Solutions to Assignment #4 The following four algorithms are used to implement the bisection method, Newton s method, the secant method, and the method of false position, respectively. In

### UCLA Anderson School of Management Daniel Andrei, Derivative Markets 237D, Winter 2014. MFE Midterm. February 2014. Date:

UCLA Anderson School of Management Daniel Andrei, Derivative Markets 237D, Winter 2014 MFE Midterm February 2014 Date: Your Name: Your Equiz.me email address: Your Signature: 1 This exam is open book,

### World s Narrowest Bezel TV, Premium CINEMA 3D Smart TV

World s Narrowest Bezel TV, Premium CINEMA 3D Smart TV NANO FULL LED ü MCI 1000 ü CINEMA 3D 1.2GHz Dual Core CPU, 2GB DDR Ultra Left / Right / Top : 2.9mm, Bottom : 8.5mm Magic Swivel Magic Remote (4 Mode)

### 2014 Half Marathon FINAL - no markers Distance: 13.21 mi Elevation: 209.78 ft} (Max: 2,773.03 ft) FitOne Half Marathon

2014 Half Marathon FINAL - no markers Distance: 13.21 mi Elevation: 209.78 ft} (Max: 2,773.03 ft) FitOne Half Marathon on N Capitol Blvd toward W Bannock St Destination will be on the left on N Capitol

### AP Calculus AB 2012 Scoring Guidelines

AP Calculus AB Scoring Guidelines The College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 9, the College

### Options on an Asset that Yields Continuous Dividends

Finance 400 A. Penati - G. Pennacchi Options on an Asset that Yields Continuous Dividends I. Risk-Neutral Price Appreciation in the Presence of Dividends Options are often written on what can be interpreted

### Physics 9 Fall 2009 Homework 6 - Solutions

. Chapter 32 - Exercise 8. Physics 9 Fall 29 Homework 6 - s How much power is dissipated by each resistor in the figure? First, let s figure out the current in the circuit. Since the two resistors are

### Calculus AB 2014 Scoring Guidelines

P Calculus B 014 Scoring Guidelines 014 The College Board. College Board, dvanced Placement Program, P, P Central, and the acorn logo are registered trademarks of the College Board. P Central is the official

### 1 Calculus of Several Variables

1 Calculus of Several Variables Reading: [Simon], Chapter 14, p. 300-31. 1.1 Partial Derivatives Let f : R n R. Then for each x i at each point x 0 = (x 0 1,..., x 0 n) the ith partial derivative is defined

Administration factor[xregion]= DELAY1(Efficiency of Administration, c adm factor delay time) c 1 month=1 c 100 P=100 Units: Percent c 12 months=12 /Year c adm factor delay time=6 c average employment

### AP Calculus BC 2012 Scoring Guidelines

AP Calculus BC Scoring Guidelines The College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 9, the College

### MAT 274 HW 2 Solutions c Bin Cheng. Due 11:59pm, W 9/07, 2011. 80 Points

MAT 274 HW 2 Solutions Due 11:59pm, W 9/07, 2011. 80 oints 1. (30 ) The last two problems of Webwork Set 03 Modeling. Show all the steps and, also, indicate the equilibrium solutions for each problem.

### Errata for Financial Mathematics: a Comprehensive Treatment

Errata for Financial Mathematics: a Comprehensive Treatment G. Campolieti R. Makarov March 3, 05 Page 4 Line 4, 6 For: 0.05 + 0.0t Read: 0.05 + 0.t Page 9 Lines 9,, 4, 6 For: V A Read: P A Page 37 Prop..4

### Example. L.N. Stout () Problems on annuities 1 / 14

Example A credit card charges an annual rate of 14% compounded monthly. This month s bill is \$6000. The minimum payment is \$5. Suppose I keep paying \$5 each month. How long will it take to pay off the

### Speech-Language Pathologist Services

Speech-Language Pathologist Services Who are Speech-Language Pathologists? School Speech-Language Pathologists are members of the Professional Services Team of the Halton District School Board. All have

### AP Calculus AB 2011 Scoring Guidelines

AP Calculus AB Scoring Guidelines The College Board The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 9, the

### 7. Continuously Varying Interest Rates

7. Continuously Varying Interest Rates 7.1 The Continuous Varying Interest Rate Formula. Suppose that interest is continuously compounded with a rate which is changing in time. Let the present time be

### Procedure LMTD (T hf,su, T hf,ex, T cf,su, T cf,ex : T log ) ξ := 1000. If T cf,su < T hf,ex 1 Then. If T cf,ex < T hf,su 1 Then

File:Z:\labo\procedures\evaporator 2 & 3 zones SQ0729.EES 7/29/200 8:54:48 PM Page EES Ver. 8.652: #206: Jean Lebrun, Laboratoire de Thermodynamique, Univ. Liege Procedure LMTD (T hf,su, T hf,ex, T cf,su,

### Photo-z Requirements for Self-Calibration of Cluster Dark Energy Studies

Photo-z Requirements for Self-Calibration of Cluster Dark Energy Studies Marcos Lima Department of Physics Kavli Institute for Cosmological Physics University of Chicago DES Collaboration Meeting Barcelona

### CS570 Data Mining Classification: Ensemble Methods

CS570 Data Mining Classification: Ensemble Methods Cengiz Günay Dept. Math & CS, Emory University Fall 2013 Some slides courtesy of Han-Kamber-Pei, Tan et al., and Li Xiong Günay (Emory) Classification:

### A crash course in probability and Naïve Bayes classification

Probability theory A crash course in probability and Naïve Bayes classification Chapter 9 Random variable: a variable whose possible values are numerical outcomes of a random phenomenon. s: A person s

### Chapter 3 Software for Systems. Discovering Computers 2012. Your Interactive Guide to the Digital World

Chapter 3 Software for Systems Discovering Computers 2012 Your Interactive Guide to the Digital World Objectives Overview Identify the four categories of application software Differentiate among the seven

### HAMILTON LAW ASSOCIATION Accessibility Standards for Customer Service

HAMILTON LAW ASSOCIATION Accessibility Standards for Customer Service 1. The Accessibility Standards for Customer Service, Ontario Regulation 429/07, came into force on the 1 st day of January, 2008, as

### Lecture 4: Properties of and Rules for

Lecture 4: Properties of and Rules for Asymptotic Big-Oh, Big-Omega, and Big-Theta Notation Georgy Gimel farb COMPSCI 220 Algorithms and Data Structures 1 / 13 1 Time complexity 2 Big-Oh rules Scaling

### Overview. Option Basics. Options and Derivatives. Professor Lasse H. Pedersen. Option basics and option strategies

Options and Derivatives Professor Lasse H. Pedersen Prof. Lasse H. Pedersen 1 Overview Option basics and option strategies No-arbitrage bounds on option prices Binomial option pricing Black-Scholes-Merton

### V e r d e s I s t v á n a l e z r e d e s V Á L T O Z Á S O K. F E L A D A T O K. GONDOK A S O R K A TO N A I

V e r d e s I s t v á n a l e z r e d e s V Á L T O Z Á S O K. F E L A D A T O K. GONDOK A S O R K A TO N A I A L A P K IK É P Z É S B E N F Ő IS K O L Á N K O N C T A N U L M Á N Y > N a p j a i n k b

### Stirling s formula, n-spheres and the Gamma Function

Stirling s formula, n-spheres and the Gamma Function We start by noticing that and hence x n e x dx lim a 1 ( 1 n n a n n! e ax dx lim a 1 ( 1 n n a n a 1 x n e x dx (1 Let us make a remark in passing.

### Portfolio Choice under Probability Distortion

Portfolio Choice with Life Annuities under Probability Distortion Wenyuan Zheng James G. Bridgeman Department of Mathematics University of Connecticut The 49th Actuarial Research Conference, 2014 Outline

### Hybrid Pro Counter 11

Hybrid Pro Counter 11 RCK-06 All Hybrid Pro TM Modular counters feature accessible storage and locking doors. Purchased printed fabric graphics or rigid infill panels allow for your messaging and branding.

### A study on Danmark utilities for year A. Guerrini, G. Romano, R. Cunha Marques

A study on Danmark utilities for year 2010-2011-2012 A. Guerrini, G. Romano, R. Cunha Marques The Danish context 5.6 MIL of inhabitants; 85% of urban population; GDP per capita 37.315 EUR. Well developed

### Your guarantee to have the right fare at the right time. Amadeus Ticket-ability of a Pricing Solution

Your guarantee to have the right fare at the right time Amadeus Ticket-ability of a Pricing Solution Ticket-ability of a Pricing Solution 1. Introduction: "" is a project that aims at better integrating

### The Envelope Theorem 1

John Nachbar Washington University April 2, 2015 1 Introduction. The Envelope Theorem 1 The Envelope theorem is a corollary of the Karush-Kuhn-Tucker theorem (KKT) that characterizes changes in the value

### Subject: Update to ATI Flat Rolled Products June 13, 2014 Price Announcement

Natrona Heights Operations 1300 Pacific Avenue Vice President and General Manager - Sheet Natrona Heights, PA 15065 Tel: (724) 226-6259 ATImetals.com Vice President and General Manager - Specialty Coiled

### More Exotic Options. 1 Barrier Options. 2 Compound Options. 3 Gap Options

More Exotic Options 1 Barrier Options 2 Compound Options 3 Gap Options More Exotic Options 1 Barrier Options 2 Compound Options 3 Gap Options Definition; Some types The payoff of a Barrier option is path

### Jorge Cruz Lopez - Bus 316: Derivative Securities. Week 11. The Black-Scholes Model: Hull, Ch. 13.

Week 11 The Black-Scholes Model: Hull, Ch. 13. 1 The Black-Scholes Model Objective: To show how the Black-Scholes formula is derived and how it can be used to value options. 2 The Black-Scholes Model 1.

### 2. How is a fund manager motivated to behave with this type of renumeration package?

MØA 155 PROBLEM SET: Options Exercise 1. Arbitrage [2] In the discussions of some of the models in this course, we relied on the following type of argument: If two investment strategies have the same payoff

### NC STATE UNIVERSITY Exploratory Analysis of Massive Data for Distribution Fault Diagnosis in Smart Grids

Exploratory Analysis of Massive Data for Distribution Fault Diagnosis in Smart Grids Yixin Cai, Mo-Yuen Chow Electrical and Computer Engineering, North Carolina State University July 2009 Outline Introduction

### Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case.

HW1 Possible Solutions Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case. Tipler 14.P.003 An object attached to a spring has simple

### Pure risk premiums under deductibles

Pure risk premiums under deductibles K. Burnecki J. Nowicka-Zagrajek A. Wy lomańska Hugo Steinhaus Center Wroc law University of Technology www.im.pwr.wroc.pl/ hugo/ Pure risk premiums under deductibles

### Practice Final Math 122 Spring 12 Instructor: Jeff Lang

Practice Final Math Spring Instructor: Jeff Lang. Find the limit of the sequence a n = ln (n 5) ln (3n + 8). A) ln ( ) 3 B) ln C) ln ( ) 3 D) does not exist. Find the limit of the sequence a n = (ln n)6

### Section 1. Logarithms

Worksheet 2.7 Logarithms and Exponentials Section 1 Logarithms The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related

### Econ 100A: Intermediate Microeconomics Notes on Consumer Theory

Econ 100A: Interediate Microeconoics Notes on Consuer Theory Linh Bun Winter 2012 (UCSC 1. Consuer Theory Utility Functions 1.1. Types of Utility Functions The following are soe of the type of the utility

### Midterm March 2015. (a) Consumer i s budget constraint is. c i 0 12 + b i c i H 12 (1 + r)b i c i L 12 (1 + r)b i ;

Masters in Economics-UC3M Microeconomics II Midterm March 015 Exercise 1. In an economy that extends over two periods, today and tomorrow, there are two consumers, A and B; and a single perishable good,

### Cam switches. Page. Overview 4-2. ON-OFF switches, main switches, maintenance switches 4-3. Changeover switches, reversing switches 4-5

Eaton Wiring Manual / Page Overview - ON-OFF switches, main switches, maintenance switches - Changeover switches, reversing switches - (Reversing) star-delta switches - Multi-Speed Switches - Interlock

### E INV 1 AM 11 Name: INTEREST. There are two types of Interest : and. The formula is. I is. P is. r is. t is

E INV 1 AM 11 Name: INTEREST There are two types of Interest : and. SIMPLE INTEREST The formula is I is P is r is t is NOTE: For 8% use r =, for 12% use r =, for 2.5% use r = NOTE: For 6 months use t =

AUnifyingApproach H.KnocheandH.deMeer Dept.ofComputerScience{Telecom.andComp.Networks QuantitativeQoS-Mapping: UniversityofHamburg,Vogt-Kolln-Str.30,D-22527Hamburg Tel:++49(40)54942347Fax:++49(40)54942345

### SOLUTIONS. f x = 6x 2 6xy 24x, f y = 3x 2 6y. To find the critical points, we solve

SOLUTIONS Problem. Find the critical points of the function f(x, y = 2x 3 3x 2 y 2x 2 3y 2 and determine their type i.e. local min/local max/saddle point. Are there any global min/max? Partial derivatives

### Half-Wave Rectifiers

Half-Wave Rectifiers Important Points of This Lecture Calculation of output voltage using appropriate piecewise models for diode for simple (unfiltered) half-wave rectifier Differences between calculations

### Teamwork Quality Effect on Project Success

Teamwork Quality Effect on Project Success Coordination Team Performance Cohesion Personal Success XP2015: 27 May 2015 Yngve Lindsjørn, University of Oslo email: ynglin@ifi.uio.no XP2015->Lightning talk->teamwork

### Pablo NICAISE Pr. V. LORANT Pr. V. DUBOIS Institute of Health & Society - UCL

Mental health and Social Services Collaboration Social ln Network ka Analysis of Inter-Organisational Partnerships in Brussels Pablo NICAISE Pr. V. LORANT Pr. V. DUBOIS of - UCL Background Issues on the

### Class AB Output Stage

Class AB Output Stage Class AB amplifier Operation Multisim Simulations - Operation Class AB amplifier biasing Multisim Simulations - Biasing 1 Class AB Operation 2 Basic Class AB Amplifier Circuit Bias

### School Psychological Services

School Psychological Services School Psychological Services Psychological Services is part of the Special Services Team within the Halton District School Board. Staff consist of Psycho-educational Consultants,

### Finite covers of a hyperbolic 3-manifold and virtual fibers.

Claire Renard Institut de Mathématiques de Toulouse November 2nd 2011 Some conjectures. Let M be a hyperbolic 3-manifold, connected, closed and oriented. Theorem (Kahn, Markovic) The fundamental group

### Economic Principles Solutions to Problem Set 1

Economic Principles Solutions to Problem Set 1 Question 1. Let < be represented b u : R n +! R. Prove that u (x) is strictl quasiconcave if and onl if < is strictl convex. If part: ( strict convexit of

### A Uniform Asymptotic Estimate for Discounted Aggregate Claims with Subexponential Tails

12th International Congress on Insurance: Mathematics and Economics July 16-18, 2008 A Uniform Asymptotic Estimate for Discounted Aggregate Claims with Subexponential Tails XUEMIAO HAO (Based on a joint

### 18.4. Errors and Percentage Change. Introduction. Prerequisites. Learning Outcomes

Errors and Percentage Change 18.4 Introduction When one variable is related to several others by a functional relationship it is possible to estimate the percentage change in that variable caused by given

### Week 1: Introduction to Online Learning

Week 1: Introduction to Online Learning 1 Introduction This is written based on Prediction, Learning, and Games (ISBN: 2184189 / -21-8418-9 Cesa-Bianchi, Nicolo; Lugosi, Gabor 1.1 A Gentle Start Consider

### Heat Exchangers - Introduction

Heat Exchangers - Introduction Concentric Pipe Heat Exchange T h1 T c1 T c2 T h1 Energy Balance on Cold Stream (differential) dq C = wc p C dt C = C C dt C Energy Balance on Hot Stream (differential) dq

### Parameter and Model Uncertainties in Pricing Deep-deferred Annuities

Outline Parameter and Model Uncertainties in Pricing Deep-deferred Annuities Min Ji Towson University, Maryland, USA Rui Zhou University of Manitoba, Canada Longevity 11, Lyon, 2015 1/32 Outline Outline

### PRACTICE FINAL. Problem 1. Find the dimensions of the isosceles triangle with largest area that can be inscribed in a circle of radius 10cm.

PRACTICE FINAL Problem 1. Find the dimensions of the isosceles triangle with largest area that can be inscribed in a circle of radius 1cm. Solution. Let x be the distance between the center of the circle

### Should Banks Trade Equity Derivatives to Manage Credit Risk? Kevin Davis 9/4/1991

Should Banks Trade Equity Derivatives to Manage Credit Risk? Kevin Davis 9/4/1991 Banks incur a variety of risks and utilise different techniques to manage the exposures so created. Some of those techniques

### b. June expiration: 95-23 = 95 + 23/32 % = 95.71875% or.9571875.9571875 X \$100,000 = \$95,718.75.

ANSWERS FOR FINANCIAL RISK MANAGEMENT A. 2-4 Value of T-bond Futures Contracts a. March expiration: The settle price is stated as a percentage of the face value of the bond with the final "27" being read

### High-speed Net Connect

High-speed Net Connect HNC-IV 91853 - Overview HNC-IV 91853 : New features compared with previous models (1) Full functionally appliances: There is the HNC-IV in three variations (Floorstand), that already

### EXP 481 -- Capital Markets Option Pricing. Options: Definitions. Arbitrage Restrictions on Call Prices. Arbitrage Restrictions on Call Prices 1) C > 0

EXP 481 -- Capital Markets Option Pricing imple arbitrage relations Payoffs to call options Black-choles model Put-Call Parity Implied Volatility Options: Definitions A call option gives the buyer the

### A Vega-Gamma Relationship for European-Style or Barrier Options in the Black-Scholes Model

A Vega-Gamma Relationship for European-Style or Barrier Options in the Black-Scholes Model Fabio Mercurio Financial Models, Banca IMI Abstract In this document we derive some fundamental relationships

### On the number-theoretic functions ν(n) and Ω(n)

ACTA ARITHMETICA LXXVIII.1 (1996) On the number-theoretic functions ν(n) and Ω(n) by Jiahai Kan (Nanjing) 1. Introduction. Let d(n) denote the divisor function, ν(n) the number of distinct prime factors,

### Essential Topic: Continuous cash flows

Essential Topic: Continuous cash flows Chapters 2 and 3 The Mathematics of Finance: A Deterministic Approach by S. J. Garrett CONTENTS PAGE MATERIAL Continuous payment streams Example Continuously paid

### Arthur Beiser Concepts of Modern Physics, 6.

2.., Arthur Beiser Concepts of Modern Physics, 6. :, :,, (, ) 69 ,, 2.1 ( c = 1 ) 2.998 10 8 m/s ɛ0 µ 0 2.2 כ 2.3(a) 2.3(b) Young כ 2.4 :. ( ). ( ) : ( ) * 2.5 2.6 ( ) ν ν + dν (3 ) 2.7 G(ν)dν = 8πν2 c

### 13.5. Click here for answers. Click here for solutions. CURL AND DIVERGENCE. 17. F x, y, z x i y j x k. 2. F x, y, z x 2z i x y z j x 2y k

SECTION CURL AND DIVERGENCE 1 CURL AND DIVERGENCE A Click here for answers. S Click here for solutions. 1 15 Find (a the curl and (b the divergence of the vector field. 1. F x, y, xy i y j x k. F x, y,

### AP Calculus AB 2006 Scoring Guidelines

AP Calculus AB 006 Scoring Guidelines The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college

### Life-insurance-specific optimal investment: the impact of stochastic interest rate and shortfall constraint

Life-insurance-specific optimal investment: the impact of stochastic interest rate and shortfall constraint An Radon Workshop on Financial and Actuarial Mathematics for Young Researchers May 30-31 2007,

### AP Calculus BC 2004 Scoring Guidelines

AP Calculus BC Scoring Guidelines The materials included in these files are intended for noncommercial use by AP teachers for course and exam preparation; permission for any other use must be sought from

### AP Calculus AB 2003 Scoring Guidelines Form B

AP Calculus AB Scoring Guidelines Form B The materials included in these files are intended for use by AP teachers for course and exam preparation; permission for any other use must be sought from the

### The p-norm generalization of the LMS algorithm for adaptive filtering

The p-norm generalization of the LMS algorithm for adaptive filtering Jyrki Kivinen University of Helsinki Manfred Warmuth University of California, Santa Cruz Babak Hassibi California Institute of Technology

### Recitation 6 Chapter 21

Recitation 6 hapter 21 Problem 35. Determine the current in each branch of the circuit shown in Figure P21.35. 3. Ω 5. Ω 1. Ω 8. Ω 1. Ω ɛ 2 4 12 Let be the current on the left branch (going down), be the

### Dr. Julie J. Nazareth

Name: Dr. Julie J. Nazareth Lab Partner(s): Physics: 133L Date lab performed: Section: Capacitors Parts A & B: Measurement of capacitance single, series, and parallel combinations Table 1: Voltage and

### On the International Stability of Health Care Expenditure Function: Are Public and Private Functions Similar?

On the International Stability of Health Care Expenditure Function: Are Public and Private Functions Similar? Dr. Jesús Clemente Dra. Carmen Marcuello Dr. Antonio Montañés Dr. Fernando Pueyo Faculty of

### WP-07. HEFPA working paper. Institute of Health Policy & Management

WP-07 HEFPA working paper Institute of Health Policy & Management The effects of term limits and yardstick competition on local government provision of health insurance and other public services: The Philippine

### FIN 411 -- Investments Option Pricing. Options: Definitions. Arbitrage Restrictions on Call Prices. Arbitrage Restrictions on Call Prices

FIN 411 -- Investments Option Pricing imple arbitrage relations s to call options Black-choles model Put-Call Parity Implied Volatility Options: Definitions A call option gives the buyer the right, but

Design in life 2012 Airline Microfiber Collection www.lexon-design.com THE NEW AIRLINE 2012 COLLECTION Airline Do you know LEXON? Some items have made history Futura calculator Hervé Houplain, 1991 Mono