Value Added in Bread Production

Size: px
Start display at page:

Download "Value Added in Bread Production"

Transcription

1 San Francisco Sae Universiy Naional Income and Produc Accouns (NIPA) 1 Michael Bar Our firs oal is o come up wih a noion of he economy s oupu or producive capaciy of he economy. The U.S. produces a variey of oods and services, and we canno jus add up quaniies of apples, cars, haircus The soluion is o add he moneary value (in dollars) of oods and services. The mos imporan measure of areae oupu is he GDP. Gross Domesic Produc (GDP) he marke value of he final oods and services produced by labor and propery locaed in he Unied Saes durin a year. Le s discuss his definiion. Firs, GDP measures he value of oods and services raded in leal markes. Economic aciviy ha does no ake place in he markes is no couned in he GDP. For example, if you make a cup of coffee a your home and drink i, his producion will no be couned in he GDP. If, on he oher hand, Sarbucks produces and sells a cup of coffee, hen he value of ha cup of coffee will be couned as par of GDP. Final oods are oods ha sold o heir end users, as opposed o inermediae oods, which are used as inpus in order o produce oher oods. For example, when a consumer buys suar from a supermarke for his own use, hen his purchase is considered a final ood ha will be couned in he GDP. When a bakery buys suar and uses i as an inpu in he producion of cakes, hen suar is an inermediae ood and is no couned in he GDP. The nex example illusraes his idea. Suppose ha he producion of bread consiss of 4 saes: (1) farmin he whea, (2) rindin he whea o rain, (3) bakin he bread, and (4) sellin he bread. The nex able shows he ransacions and he value added a each sae. Value Added in Bread Producion Sell Farmer $0.80 $0.80 $0.80 Miller $0.80 $1.00 $1.80 $1.00 Baker $0.80 $1.00 $0.70 $2.50 $0.70 Value Added Reailer $0.80 $1.00 $0.70 $0.25 $2.75 $0.25 In he firs sae he farmer rows he whea and sells i o he Miller for he price of $0.80. We say ha he value added by he farmer is $0.80. The value added is defined as Value added = sales purchases from oher firms + chane in invenories In he second sae of producion, he miller rinds he whea ino flour and sells he flour o he baker for $1.80. We say ha he value added by he baker is $1. In he hird sae 1 The main source for definiions and mehodoloies is Bureau of Economic Analysis. This is a overnmen aency responsible for collecin daa for he Naional Income and Produc Accouns. Visi hp:// for A Guide o he NIPA S. 1

2 he baker bakes he bread and sells i o he reailer for $2.50. We say ha he value added by he bakery is $0.70. In he las sae he reailer sells he bread o he consumer for $2.75, so he value added by he reailer is $0.25. Noice ha alhouh he reailer did no do anyhin o he produc, i provided reail services o he consumer. The reail services include convenience of buyin everyhin a one place, sorae, ec. If we added he value of all he ransacions ha ook place, he conribuion of one loaf of bread o he GDP would have been $7.85 This would have been a biased value because he value added by he farmer would be included 4 imes, he value added by he miller is included 3 imes, and he value added by he bakery is included wice. We wan he GDP o properly reflec he value of oods and services produced wihin he economy, wihou muliple counin of he same producion. Finally noice ha he GDP couns oods and services ha were produced durin iven ime period. For example, he GDP of 2014 will coun he value of oods and services produced in he year Goods ha were produced before he year 2014 are no couned in he GDP of A relaed measure o GDP is GNP, which measures he areae oupu of he counry s residens. Gross Naional Produc (GNP) he marke value of he (final) oods and services produced by labor and propery supplied by U.S residens durin a year. (1) GNP = GDP + NFP NFP Ne Facor Paymens from abroad o domesic residens, i.e. NFP = (paymens o domesic residens from abroad) (paymens o forein facors in he U.S.). The GNP measures wha he U.S. residens produced, wheher wihin he U.S. or abroad, while he GDP measures wha was produced wihin he U.S., eiher by residens or foreiners. In he U.S. he difference beween GDP and GNP is small (i.e. NFP is small). For he purpose of his course we will inore his difference. Measurin Nominal GDP We now show wo ways of measurin he nominal GDP. By nominal we mean ha he value of all he oods and services is compued usin he curren prices. I. Expendiure approach (2) GDP = C + I + G + NX Personal Consumpion Expendiures (C) Goods and services purchased by persons residen in he Unied Saes, excep new housin. Gross Invesmen (I) Privae and Governmen invesmen. Privae invesmen is he spendin of firms on plan, equipmen and invenories, and he spendin of households on new houses. Governmen invesmen is ne purchases of fixed asses by he eneral overnmen. Governmen Consumpion Expendiures (G) ne purchases of oods, services, from business and from he res of he world by eneral overnmen; paymens by eneral overnmen o households in he form of compensaion of employees; he 2

3 consumpion of eneral overnmen fixed capial; invenory chane of overnmen enerprises. Ne Expors of oods and services (NX) expors less impors of oods and services (NX = X IM). Receips and paymens of facor income and ransfer paymens o he res of he world (ne) are excluded. II. Income Approach (3) NDI W In ren π π Ti p B Ne Domesic Income ( NDI ) he oal paymen o he facors of producion. Compensaion of employees (W) waes, salaries and frine benefis earned by workers. Ne ineres ( In ) ineres paid by domesic businesses plus ineres earned form he res of he world. Renal income (ren) income ha landlords receive from renin, includin he impued ren ha homeowners pay hemselves, less expenses on he house such as depreciaion. Proprieors income ( p ) income of non-corporae business, such as small farms and law parnerships. Corporae profis ( B ) income of corporaions afer paymens o heir workers and crediors. Indirec business ax ne of subsidies (Ti ). These are ax liabiliies ha are chareable o business expense in he calculaion of profi-ype incomes and sales axes. (4) B TB Div SB Profis ax liabiliy ( T B ) he sum of Federal, Sae and local income subjec o axes. Dividends (Div). Undisribued profis ( S B ) business savin. Formula (3) ives he Naional Income. We now show how he Naional Income is relaed o he GDP. (5) GDI NDI Dep Gross Domesic Income ( GDI ), or he GDP calculaed usin he income approach. Consumpion of fixed capial or Depreciaion (Dep) a chare for usin up of privae and overnmen fixed capial locaed in he Unied Saes. Remark: Since he spendin and income sides are esimaed independenly and usin imperfec daa, we usually have GDI GDP. The differences beween he wo esimaes is called saisical discrepancy (SD), and is repored as he number ha needs o be added o GDI in order o e he GDP : (6) GDI S D GDP 3

4 Review quesion. To make sure ha you undersand he above definiions, answer he followin quesion. 1. How will he followin ransacions be recorded in he NIPA of he curren year: a. A person buys a new car made in he U.S. b. A person buys a new forein made car c. A person buys an old car d. A person buys a new house e. A person buys an old house f. A firm buys a new machine Wha he GDP Does No Capure We needed a measure of he producive capaciy in he economy, and he mos imporan measure is he GDP. However, here are cerain producion aciviies ha are no capured by he GDP. Recall ha he GDP records only ransacions ha ake place in leal markes. Thus, he GDP does no record illeal aciviies (sales of forbidden drus for example), and home producion. In he home producion he household combines his ime and purchased oods in order o produce oher oods. For example, you combine your ime wih eabas and suar o make a cup of ea. This producion is no recorded in he economy. The problem is no severe if in all he counries he size of he home secor is he same as a fracion of he oal oupu. In his case comparisons across counries will no be biased. The problem is ha in some underdeveloped counries he home secor is quie lare, and hus he GDP of hese counries underesimaes he level of overall producion in hose counries. Measurin Real GDP and Inflaion Our nex oal is o decompose he chane in he nominal GDP ino: (1) chane in prices, and (2) chane in oupu. In oher words, we wan o be able o express he nominal GDP as follows: GDP P is called he real oupu or real GDP and P is called he price level or GDP deflaor. The reason why economiss wan o decompose he nominal GDP ino real GDP and price level is for comparisons of GDP across ime. Suppose ha he nominal GDP increased by 5% in he las year. Is his an increase in producion or simply an increase in prices? Noice ha if he economy does no chane he producion of any ood, and he prices of all oods o up by 5%, hen he nominal GDP will increase by 5%. In his case he increase in nominal GDP does no reflec an increase in he producive capaciy of he economy, bu simply a resul of increasin prices. I is of crucial imporance o be able o ell how much of he chane in he nominal GDP is due o chanes in prices and how much is due o chanes in producion. The rowh rae of he price level is called inflaion. 4

5 I. Base Year Approach (used before 1996) Noaions: i P price of ood i in year i price of ood i in year Accordin o he base year approach we fix he prices of all oods a heir level in some base year, and use hose fixed prices o compue he real GDP in any oher year. The formula for real GDP a ime and base year b is iven by: b i i RGDP Pb. i Noice ha in he base year, he real GDP is equal o he nominal GDP. The price level (also called he GDP deflaor) is hen obained by dividin he nominal GDP by he real: GDP P b RGDP This accomplishes ha ask ha we se o ourselves, namely decomposin he nominal GDP ino real GDP and a price level: GDP P b RGDP P The level of he real GDP and he price level are of very lile ineres o economis. Wha is much more imporan is he rowh rae of real GDP and he rowh rae of he price level. The laer is called inflaion. The problem however is ha differen choices of he base year ive differen resuls abou he rowh rae of real GDP and inflaion. The nex example illusraes his poin. Suppose ha he economy produces wo oods, 1 and 2. The prices and quaniies for several years are iven in he able below. The able also shows he decomposiion of GDP ino real GDP and prices, usin he base year approach. The yellow par uses 2000 as he base year, while he blue par uses 2005 as he base year. Base year = 2000 Base year = 2005 Year P1 1 P2 2 GDP P P P P

6 Firs, le s make sure ha we know how he real GDP and price level were compued. For example, o compue he real GDP in 2003 usin 2000 as he base year we fix he prices a 2000 level and muliply hem by he quaniies in 2003: 2000 RGDP As anoher example, le s compue he real GDP in 2003 usin 2005 as he base year: 2005 RGDP Noice ha he real GDP in he base year is always equal o he nominal GDP in he base year. The GDP deflaor is he nominal GDP divided by he real GDP. For example, he price deflaor in 2003 when he base year is 2000, is: GDP RGDP P Noice ha in he base year, he GDP deflaor is always 1, since he real GDP is equal o he nominal GDP in he base year. P The columns labeled and show he rowh rae of real GDP and he rowh rae of he price level (inflaion). 2 Now ha we know how he enries were compued, observe he rowh raes of real GDP and price level beween he years 2004 and When he base year is 2000, he measured inflaion was 14% and when he base year is 2005 he measured inflaion is 18%. Similarly, when he base year is 2005 he measured rowh in real GDP is 3%, while wih 2000 as he base year he measured rowh rae of real GDP is 7% (more han wice as hih!). Thus, he choice of he base year, realy affecs he measured real rowh rae. Afer 1996 many counries swiched o an alernaive mehod, called he Chain-Weihin mehod, which does no use any fixed base year The able shows he ross rowh rae, defined as y / y 1 while he ne rowh rae is defined as y / y

7 II. Chain-Weihin Approach Accordin o his approach we le he rowh rae of he real GDP beween wo adjacen years ( 1 and ) be 3 1 c 1 Where is he rowh rae of real GDP beween ime 1 and usin 1 as he base, and is he rowh rae of real GDP beween ime 1 and usin as he base. In oher words, each year we compue wo differen real GDP s: one usin las year as he base and he oher uses curren year as he base. So here is no fixed year which serves as he base. For example, in 2005 we compue real GDP usin 2004 as he base and anoher real GDP usin 2005 as he base. Then we simply averae hem (eomerically). Similarly, we le he rowh rae of he prices be P P c 1 These rowh raes can be used o consruc real GDP series and he GDP deflaor. Choose any base year. In he base year he real GDP is se o be he same as he nominal. Then use he above rowh rae o consruc he series of he real GDP. Suppose ha he base year is 1. Then he real GDP in 1 is he same as he nominal GDP in 1. The real GDP in year is P c RGDP GDP 1. Suppose ha insead we choose he year o be he base year. Then real GDP in year is he same as he nominal GDP and 1 GDP c. RGDP / In boh cases, he rowh rae of he real GDP is he same (since we se i o be he same and = c ). The consrucion of he GDP deflaor is similar. In he base year GDP deflaor is 1. Then use he above rowh rae o consruc he GDP deflaor in oher years. The name chain comes from he fac ha we use he rowh raes o consruc he nex year s GDP by chainin i o he curren year. Answer o he review quesion. 2. How will he followin ransacions be recorded in he NIPA of he curren year: a. A person buys a new car made in he U.S. As par of C, he personal consumpion expendiures. b. A person buys a new forein made car As par of C, and IM, so ha he purchase does no affec he U.S. GDP. c. A person buys an old car 3 This is a eomeric averae of 1 and. The subscrip c indicaes he chain weihin approach. 7

8 I is no recorded in he NIPA. If he car was purchased from a car salesman, hen par of he paymen oes o he aency for is services. The income of he aency is a service ha was produced in he curren year, so i is recorded in C. d. A person buys a new house As par if I. Remember ha purchases of new houses by persons is par of invesmen and no consumpion. e. A person buys an old house This ransacion is no recorded in he NIPA, same as old car. Aain, if a real-esae aen was involved, hen his fee is recorded in C as consumpion of services. f. A firm buys a new machine As par of I if he machine is made in he U.S., and if i is impored, hen boh I and IM. 8

Aggregate Output. Aggregate Output. Topics. Aggregate Output. Aggregate Output. Aggregate Output

Aggregate Output. Aggregate Output. Topics. Aggregate Output. Aggregate Output. Aggregate Output Topics (Sandard Measure) GDP vs GPI discussion Macroeconomic Variables (Unemploymen and Inflaion Rae) (naional income and produc accouns, or NIPA) Gross Domesic Produc (GDP) The value of he final goods

More information

BALANCE OF PAYMENTS. First quarter 2008. Balance of payments

BALANCE OF PAYMENTS. First quarter 2008. Balance of payments BALANCE OF PAYMENTS DATE: 2008-05-30 PUBLISHER: Balance of Paymens and Financial Markes (BFM) Lena Finn + 46 8 506 944 09, lena.finn@scb.se Camilla Bergeling +46 8 506 942 06, camilla.bergeling@scb.se

More information

4. International Parity Conditions

4. International Parity Conditions 4. Inernaional ariy ondiions 4.1 urchasing ower ariy he urchasing ower ariy ( heory is one of he early heories of exchange rae deerminaion. his heory is based on he concep ha he demand for a counry's currency

More information

cooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins)

cooking trajectory boiling water B (t) microwave 0 2 4 6 8 101214161820 time t (mins) Alligaor egg wih calculus We have a large alligaor egg jus ou of he fridge (1 ) which we need o hea o 9. Now here are wo accepable mehods for heaing alligaor eggs, one is o immerse hem in boiling waer

More information

Chapter 6: Business Valuation (Income Approach)

Chapter 6: Business Valuation (Income Approach) Chaper 6: Business Valuaion (Income Approach) Cash flow deerminaion is one of he mos criical elemens o a business valuaion. Everyhing may be secondary. If cash flow is high, hen he value is high; if he

More information

BALANCE OF PAYMENTS AND FINANCIAL MA REPORT 2015. All officiell statistik finns på: www.scb.se Statistikservice: tfn 08-506 948 01

BALANCE OF PAYMENTS AND FINANCIAL MA REPORT 2015. All officiell statistik finns på: www.scb.se Statistikservice: tfn 08-506 948 01 RKET BALANCE OF PAYMENTS AND FINANCIAL MA REPORT 2015 All officiell saisik finns på: www.scb.se Saisikservice: fn 08-506 948 01 All official saisics can be found a: www.scb.se Saisics service, phone +46

More information

Double Entry System of Accounting

Double Entry System of Accounting CHAPTER 2 Double Enry Sysem of Accouning Sysem of Accouning \ The following are he main sysem of accouning for recording he business ransacions: (a) Cash Sysem of Accouning. (b) Mercanile or Accrual Sysem

More information

Diagnostic Examination

Diagnostic Examination Diagnosic Examinaion TOPIC XV: ENGINEERING ECONOMICS TIME LIMIT: 45 MINUTES 1. Approximaely how many years will i ake o double an invesmen a a 6% effecive annual rae? (A) 10 yr (B) 12 yr (C) 15 yr (D)

More information

Depreciation and Corporate Taxes

Depreciation and Corporate Taxes 205 Depreciaion and Corporae Taxes Chris Hendrickson Carnegie Mellon Universiy Tung Au Carnegie Mellon Universiy 205.1 Depreciaion as Tax Deducion 205.2 Tax Laws and Tax Planning 205.3 Decision Crieria

More information

Duration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613.

Duration and Convexity ( ) 20 = Bond B has a maturity of 5 years and also has a required rate of return of 10%. Its price is $613. Graduae School of Business Adminisraion Universiy of Virginia UVA-F-38 Duraion and Convexiy he price of a bond is a funcion of he promised paymens and he marke required rae of reurn. Since he promised

More information

Present Value Methodology

Present Value Methodology Presen Value Mehodology Econ 422 Invesmen, Capial & Finance Universiy of Washingon Eric Zivo Las updaed: April 11, 2010 Presen Value Concep Wealh in Fisher Model: W = Y 0 + Y 1 /(1+r) The consumer/producer

More information

Return Calculation of U.S. Treasury Constant Maturity Indices

Return Calculation of U.S. Treasury Constant Maturity Indices Reurn Calculaion of US Treasur Consan Mauri Indices Morningsar Mehodolog Paper Sepeber 30 008 008 Morningsar Inc All righs reserved The inforaion in his docuen is he proper of Morningsar Inc Reproducion

More information

MSCI Index Calculation Methodology

MSCI Index Calculation Methodology Index Mehodology MSCI Index Calculaion Mehodology Index Calculaion Mehodology for he MSCI Equiy Indices Index Mehodology MSCI Index Calculaion Mehodology Conens Conens... 2 Inroducion... 5 MSCI Equiy Indices...

More information

I. Basic Concepts (Ch. 1-4)

I. Basic Concepts (Ch. 1-4) (Ch. 1-4) A. Real vs. Financial Asses (Ch 1.2) Real asses (buildings, machinery, ec.) appear on he asse side of he balance shee. Financial asses (bonds, socks) appear on boh sides of he balance shee. Creaing

More information

Morningstar Investor Return

Morningstar Investor Return Morningsar Invesor Reurn Morningsar Mehodology Paper Augus 31, 2010 2010 Morningsar, Inc. All righs reserved. The informaion in his documen is he propery of Morningsar, Inc. Reproducion or ranscripion

More information

How To Calculate Price Elasiciy Per Capia Per Capi

How To Calculate Price Elasiciy Per Capia Per Capi Price elasiciy of demand for crude oil: esimaes for 23 counries John C.B. Cooper Absrac This paper uses a muliple regression model derived from an adapaion of Nerlove s parial adjusmen model o esimae boh

More information

Total factor productivity growth in the Canadian life insurance industry: 1979-1989

Total factor productivity growth in the Canadian life insurance industry: 1979-1989 Toal facor produciviy growh in he Canadian life insurance indusry: 1979-1989 J E F F R E Y I. B E R N S T E I N Carleon Universiy and Naional Bureau of Economic Research 1. Inroducion Produciviy growh

More information

CHARGE AND DISCHARGE OF A CAPACITOR

CHARGE AND DISCHARGE OF A CAPACITOR REFERENCES RC Circuis: Elecrical Insrumens: Mos Inroducory Physics exs (e.g. A. Halliday and Resnick, Physics ; M. Sernheim and J. Kane, General Physics.) This Laboraory Manual: Commonly Used Insrumens:

More information

Chapter 8: Regression with Lagged Explanatory Variables

Chapter 8: Regression with Lagged Explanatory Variables Chaper 8: Regression wih Lagged Explanaory Variables Time series daa: Y for =1,..,T End goal: Regression model relaing a dependen variable o explanaory variables. Wih ime series new issues arise: 1. One

More information

Why Did the Demand for Cash Decrease Recently in Korea?

Why Did the Demand for Cash Decrease Recently in Korea? Why Did he Demand for Cash Decrease Recenly in Korea? Byoung Hark Yoo Bank of Korea 26. 5 Absrac We explores why cash demand have decreased recenly in Korea. The raio of cash o consumpion fell o 4.7% in

More information

PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE

PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Profi Tes Modelling in Life Assurance Using Spreadshees PROFIT TEST MODELLING IN LIFE ASSURANCE USING SPREADSHEETS PART ONE Erik Alm Peer Millingon 2004 Profi Tes Modelling in Life Assurance Using Spreadshees

More information

The Real Business Cycle paradigm. The RBC model emphasizes supply (technology) disturbances as the main source of

The Real Business Cycle paradigm. The RBC model emphasizes supply (technology) disturbances as the main source of Prof. Harris Dellas Advanced Macroeconomics Winer 2001/01 The Real Business Cycle paradigm The RBC model emphasizes supply (echnology) disurbances as he main source of macroeconomic flucuaions in a world

More information

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur

Module 4. Single-phase AC circuits. Version 2 EE IIT, Kharagpur Module 4 Single-phase A circuis ersion EE T, Kharagpur esson 5 Soluion of urren in A Series and Parallel ircuis ersion EE T, Kharagpur n he las lesson, wo poins were described:. How o solve for he impedance,

More information

Information technology and economic growth in Canada and the U.S.

Information technology and economic growth in Canada and the U.S. Canada U.S. Economic Growh Informaion echnology and economic growh in Canada and he U.S. Informaion and communicaion echnology was he larges conribuor o growh wihin capial services for boh Canada and he

More information

A Note on Using the Svensson procedure to estimate the risk free rate in corporate valuation

A Note on Using the Svensson procedure to estimate the risk free rate in corporate valuation A Noe on Using he Svensson procedure o esimae he risk free rae in corporae valuaion By Sven Arnold, Alexander Lahmann and Bernhard Schwezler Ocober 2011 1. The risk free ineres rae in corporae valuaion

More information

Signal Rectification

Signal Rectification 9/3/25 Signal Recificaion.doc / Signal Recificaion n imporan applicaion of juncion diodes is signal recificaion. here are wo ypes of signal recifiers, half-wae and fullwae. Le s firs consider he ideal

More information

MITEL NETWORKS CORPORATION CONSOLIDATED BALANCE SHEETS (in millions of US dollars) (unaudited) December 31, December 31, 2015 2014

MITEL NETWORKS CORPORATION CONSOLIDATED BALANCE SHEETS (in millions of US dollars) (unaudited) December 31, December 31, 2015 2014 CONSOLIDATED BALANCE SHEETS,, 5 ASSETS Curren asses: Cash and cash equivalens.. Accouns receivable..5 Sales-ype lease receivables.. Invenories.. Oher curren asses 5. 5. 5. 5. curren porion of sales-ype

More information

LEASING VERSUSBUYING

LEASING VERSUSBUYING LEASNG VERSUSBUYNG Conribued by James D. Blum and LeRoy D. Brooks Assisan Professors of Business Adminisraion Deparmen of Business Adminisraion Universiy of Delaware Newark, Delaware The auhors discuss

More information

Revenue Effects of Tax Facilities for Pension Savings

Revenue Effects of Tax Facilities for Pension Savings Source: K. Caminada and K. Goudswaard (2008), 'Revenue Effecs of Tax Faciliies for Pension Savins', Alanic Economic Journal 36 (2), pp. 233-246. Revenue Effecs of Tax Faciliies for Pension Savins Koen

More information

Lecture Note on the Real Exchange Rate

Lecture Note on the Real Exchange Rate Lecure Noe on he Real Exchange Rae Barry W. Ickes Fall 2004 0.1 Inroducion The real exchange rae is he criical variable (along wih he rae of ineres) in deermining he capial accoun. As we shall see, his

More information

Understanding China s High Investment Rate and FDI Levels: A Comparative Analysis of the Return to Capital in China, the United States, and Japan

Understanding China s High Investment Rate and FDI Levels: A Comparative Analysis of the Return to Capital in China, the United States, and Japan Undersanding China s High Invesmen Rae and FDI Levels: A Comparaive Analysis of he Reurn o Capial in China, he Unied Saes, and Japan Wenkai Sun, Renmin Universiy of China Xiuke Yang, Peking Universiy Geng

More information

The impact of self-employment on labour-productivity growth: A Canada and United States comparison

The impact of self-employment on labour-productivity growth: A Canada and United States comparison Caalogue no. 11F0027MIE No. 016 ISSN: 1703-0404 ISBN: 0-662-34792-7 Research Paper Economic analysis (EA) research paper series The impac of self-employmen on labour-producivy growh: A Canada and Uned

More information

Chapter 7. Response of First-Order RL and RC Circuits

Chapter 7. Response of First-Order RL and RC Circuits Chaper 7. esponse of Firs-Order L and C Circuis 7.1. The Naural esponse of an L Circui 7.2. The Naural esponse of an C Circui 7.3. The ep esponse of L and C Circuis 7.4. A General oluion for ep and Naural

More information

Mortality Variance of the Present Value (PV) of Future Annuity Payments

Mortality Variance of the Present Value (PV) of Future Annuity Payments Morali Variance of he Presen Value (PV) of Fuure Annui Pamens Frank Y. Kang, Ph.D. Research Anals a Frank Russell Compan Absrac The variance of he presen value of fuure annui pamens plas an imporan role

More information

Vector Autoregressions (VARs): Operational Perspectives

Vector Autoregressions (VARs): Operational Perspectives Vecor Auoregressions (VARs): Operaional Perspecives Primary Source: Sock, James H., and Mark W. Wason, Vecor Auoregressions, Journal of Economic Perspecives, Vol. 15 No. 4 (Fall 2001), 101-115. Macroeconomericians

More information

Acceleration Lab Teacher s Guide

Acceleration Lab Teacher s Guide Acceleraion Lab Teacher s Guide Objecives:. Use graphs of disance vs. ime and velociy vs. ime o find acceleraion of a oy car.. Observe he relaionship beween he angle of an inclined plane and he acceleraion

More information

Economics Honors Exam 2008 Solutions Question 5

Economics Honors Exam 2008 Solutions Question 5 Economics Honors Exam 2008 Soluions Quesion 5 (a) (2 poins) Oupu can be decomposed as Y = C + I + G. And we can solve for i by subsiuing in equaions given in he quesion, Y = C + I + G = c 0 + c Y D + I

More information

Analysis of tax effects on consolidated household/government debts of a nation in a monetary union under classical dichotomy

Analysis of tax effects on consolidated household/government debts of a nation in a monetary union under classical dichotomy MPRA Munich Personal RePEc Archive Analysis of ax effecs on consolidaed household/governmen debs of a naion in a moneary union under classical dichoomy Minseong Kim 8 April 016 Online a hps://mpra.ub.uni-muenchen.de/71016/

More information

Name: Algebra II Review for Quiz #13 Exponential and Logarithmic Functions including Modeling

Name: Algebra II Review for Quiz #13 Exponential and Logarithmic Functions including Modeling Name: Algebra II Review for Quiz #13 Exponenial and Logarihmic Funcions including Modeling TOPICS: -Solving Exponenial Equaions (The Mehod of Common Bases) -Solving Exponenial Equaions (Using Logarihms)

More information

Chapter 4: Exponential and Logarithmic Functions

Chapter 4: Exponential and Logarithmic Functions Chaper 4: Eponenial and Logarihmic Funcions Secion 4.1 Eponenial Funcions... 15 Secion 4. Graphs of Eponenial Funcions... 3 Secion 4.3 Logarihmic Funcions... 4 Secion 4.4 Logarihmic Properies... 53 Secion

More information

CALCULATION OF OMX TALLINN

CALCULATION OF OMX TALLINN CALCULATION OF OMX TALLINN CALCULATION OF OMX TALLINN 1. OMX Tallinn index...3 2. Terms in use...3 3. Comuaion rules of OMX Tallinn...3 3.1. Oening, real-ime and closing value of he Index...3 3.2. Index

More information

Table of contents Chapter 1 Interest rates and factors Chapter 2 Level annuities Chapter 3 Varying annuities

Table of contents Chapter 1 Interest rates and factors Chapter 2 Level annuities Chapter 3 Varying annuities Table of conens Chaper 1 Ineres raes and facors 1 1.1 Ineres 2 1.2 Simple ineres 4 1.3 Compound ineres 6 1.4 Accumulaed value 10 1.5 Presen value 11 1.6 Rae of discoun 13 1.7 Consan force of ineres 17

More information

Growth of U.S. Industries and Investments in. Information Technology and Higher Education

Growth of U.S. Industries and Investments in. Information Technology and Higher Education reliminary Commens Welcome No for Ciaion wihou ermission of Auhors Growh of U.S. Indusries and Invesmens in Informaion Technology and Higher Educaion Dale W. Jorgenson Harvard Universiy Mun S. Ho Resources

More information

Debt Accumulation, Debt Reduction, and Debt Spillovers in Canada, 1974-98*

Debt Accumulation, Debt Reduction, and Debt Spillovers in Canada, 1974-98* Deb Accumulaion, Deb Reducion, and Deb Spillovers in Canada, 1974-98* Ron Kneebone Deparmen of Economics Universiy of Calgary John Leach Deparmen of Economics McMaser Universiy Ocober, 2000 Absrac Wha

More information

The Greek financial crisis: growing imbalances and sovereign spreads. Heather D. Gibson, Stephan G. Hall and George S. Tavlas

The Greek financial crisis: growing imbalances and sovereign spreads. Heather D. Gibson, Stephan G. Hall and George S. Tavlas The Greek financial crisis: growing imbalances and sovereign spreads Heaher D. Gibson, Sephan G. Hall and George S. Tavlas The enry The enry of Greece ino he Eurozone in 2001 produced a dividend in he

More information

C Fast-Dealing Property Trading Game C

C Fast-Dealing Property Trading Game C If you are already an experienced MONOPOLY dealer and wan a faser game, ry he rules on he back page! AGES 8+ C Fas-Dealing Propery Trading Game C Y Original MONOPOLY Game Rules plus Special Rules for his

More information

LECTURE: SOCIAL SECURITY HILARY HOYNES UC DAVIS EC230 OUTLINE OF LECTURE:

LECTURE: SOCIAL SECURITY HILARY HOYNES UC DAVIS EC230 OUTLINE OF LECTURE: LECTURE: SOCIAL SECURITY HILARY HOYNES UC DAVIS EC230 OUTLINE OF LECTURE: 1. Inroducion and definiions 2. Insiuional Deails in Social Securiy 3. Social Securiy and Redisribuion 4. Jusificaion for Governmen

More information

Working paper No.3 Cyclically adjusting the public finances

Working paper No.3 Cyclically adjusting the public finances Working paper No.3 Cyclically adjusing he public finances Thora Helgadoir, Graeme Chamberlin, Pavandeep Dhami, Sephen Farringon and Joe Robins June 2012 Crown copyrigh 2012 You may re-use his informaion

More information

Computing capital stock in the Belgian national accounts according to the ESA 2010

Computing capital stock in the Belgian national accounts according to the ESA 2010 Compuin capial sock in he Belian naional accouns accordin o he ESA 2010 Mehodoloical noe - Ocober 2014 Capial sock forms an ineral par of he European Sysem of Naional and Reional Accouns 2010 (ESA 2010).

More information

C Fast-Dealing Property Trading Game C

C Fast-Dealing Property Trading Game C AGES 8+ C Fas-Dealing Propery Trading Game C Y Collecor s Ediion Original MONOPOLY Game Rules plus Special Rules for his Ediion. CONTENTS Game board, 6 Collecible okens, 28 Tile Deed cards, 16 Wha he Deuce?

More information

Measuring the Effects of Exchange Rate Changes on Investment. in Australian Manufacturing Industry

Measuring the Effects of Exchange Rate Changes on Investment. in Australian Manufacturing Industry Measuring he Effecs of Exchange Rae Changes on Invesmen in Ausralian Manufacuring Indusry Robyn Swif Economics and Business Saisics Deparmen of Accouning, Finance and Economics Griffih Universiy Nahan

More information

9. Capacitor and Resistor Circuits

9. Capacitor and Resistor Circuits ElecronicsLab9.nb 1 9. Capacior and Resisor Circuis Inroducion hus far we have consider resisors in various combinaions wih a power supply or baery which provide a consan volage source or direc curren

More information

Chapter Four: Methodology

Chapter Four: Methodology Chaper Four: Mehodology 1 Assessmen of isk Managemen Sraegy Comparing Is Cos of isks 1.1 Inroducion If we wan o choose a appropriae risk managemen sraegy, no only we should idenify he influence ha risks

More information

Markit Excess Return Credit Indices Guide for price based indices

Markit Excess Return Credit Indices Guide for price based indices Marki Excess Reurn Credi Indices Guide for price based indices Sepember 2011 Marki Excess Reurn Credi Indices Guide for price based indices Conens Inroducion...3 Index Calculaion Mehodology...4 Semi-annual

More information

THE DETERMINATION OF PORT FACILITIES MANAGEMENT FEE WITH GUARANTEED VOLUME USING OPTIONS PRICING MODEL

THE DETERMINATION OF PORT FACILITIES MANAGEMENT FEE WITH GUARANTEED VOLUME USING OPTIONS PRICING MODEL 54 Journal of Marine Science and echnology, Vol. 13, No. 1, pp. 54-60 (2005) HE DEERMINAION OF POR FACILIIES MANAGEMEN FEE WIH GUARANEED VOLUME USING OPIONS PRICING MODEL Kee-Kuo Chen Key words: build-and-lease

More information

Chapter 1.6 Financial Management

Chapter 1.6 Financial Management Chaper 1.6 Financial Managemen Par I: Objecive ype quesions and answers 1. Simple pay back period is equal o: a) Raio of Firs cos/ne yearly savings b) Raio of Annual gross cash flow/capial cos n c) = (1

More information

Mika Kortelainen. Adjustment of the US current account deficit

Mika Kortelainen. Adjustment of the US current account deficit Mika Korelainen Adjusmen of he US curren accoun defici Bank of Finland Research Discussion Papers 9 2007 Suomen Pankki Bank of Finland P.O.Box 160 FI-00101 HELSINKI Finland + 358 10 8311 hp://www.bof.fi

More information

A Conceptual Framework for Commercial Property Price Indexes

A Conceptual Framework for Commercial Property Price Indexes Gran-in-Aid for Scienific Research(S) Real Esae Markes, Financial Crisis, and Economic Growh : An Inegraed Economic Approach Working Paper Series No.4 A Concepual Framework for Commercial Propery Price

More information

DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS

DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS DYNAMIC MODELS FOR VALUATION OF WRONGFUL DEATH PAYMENTS Hong Mao, Shanghai Second Polyechnic Universiy Krzyszof M. Osaszewski, Illinois Sae Universiy Youyu Zhang, Fudan Universiy ABSTRACT Liigaion, exper

More information

Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches.

Appendix A: Area. 1 Find the radius of a circle that has circumference 12 inches. Appendi A: Area worked-ou s o Odd-Numbered Eercises Do no read hese worked-ou s before aemping o do he eercises ourself. Oherwise ou ma mimic he echniques shown here wihou undersanding he ideas. Bes wa

More information

Longevity 11 Lyon 7-9 September 2015

Longevity 11 Lyon 7-9 September 2015 Longeviy 11 Lyon 7-9 Sepember 2015 RISK SHARING IN LIFE INSURANCE AND PENSIONS wihin and across generaions Ragnar Norberg ISFA Universié Lyon 1/London School of Economics Email: ragnar.norberg@univ-lyon1.fr

More information

Cointegration: The Engle and Granger approach

Cointegration: The Engle and Granger approach Coinegraion: The Engle and Granger approach Inroducion Generally one would find mos of he economic variables o be non-saionary I(1) variables. Hence, any equilibrium heories ha involve hese variables require

More information

Measuring macroeconomic volatility Applications to export revenue data, 1970-2005

Measuring macroeconomic volatility Applications to export revenue data, 1970-2005 FONDATION POUR LES ETUDES ET RERS LE DEVELOPPEMENT INTERNATIONAL Measuring macroeconomic volailiy Applicaions o expor revenue daa, 1970-005 by Joël Cariolle Policy brief no. 47 March 01 The FERDI is a

More information

Debt Relief and Fiscal Sustainability for HIPCs *

Debt Relief and Fiscal Sustainability for HIPCs * Deb Relief and Fiscal Susainabiliy for HIPCs * Craig Burnside and Domenico Fanizza December 24 Absrac The enhanced HIPC iniiaive is disinguished from previous deb relief programs by is condiionaliy ha

More information

Optimal Investment and Consumption Decision of Family with Life Insurance

Optimal Investment and Consumption Decision of Family with Life Insurance Opimal Invesmen and Consumpion Decision of Family wih Life Insurance Minsuk Kwak 1 2 Yong Hyun Shin 3 U Jin Choi 4 6h World Congress of he Bachelier Finance Sociey Torono, Canada June 25, 2010 1 Speaker

More information

THE MACROECONOMIC EFFECTS OF FISCAL POLICY IN SPAIN

THE MACROECONOMIC EFFECTS OF FISCAL POLICY IN SPAIN DOCUMENTO DE TRABAJO THE MACROECONOMIC EFFECTS OF FISCAL POLICY IN SPAIN Documeno de Trabajo n.º 0311 Francisco de Casro BANCO DE ESPAÑA SERVICIO DE ESTUDIOS THE MACROECONOMIC EFFECTS OF FISCAL POLICY

More information

Real GDP, Real GDI, and Trading Gains: Canada, 1981-2005

Real GDP, Real GDI, and Trading Gains: Canada, 1981-2005 Real GD, Real GDI, and Trading Gains: Canada, 1981-005 Ulrich Kohli 1 Swiss Naional Bank ABSTRACT Real gross domesic produc (GD) fails o accoun for he rading gains and losses ha resul from changes in he

More information

Chapter 6 Interest Rates and Bond Valuation

Chapter 6 Interest Rates and Bond Valuation Chaper 6 Ineres Raes and Bond Valuaion Definiion and Descripion of Bonds Long-erm deb-loosely, bonds wih a mauriy of one year or more Shor-erm deb-less han a year o mauriy, also called unfunded deb Bond-sricly

More information

Premium Income of Indian Life Insurance Industry

Premium Income of Indian Life Insurance Industry Premium Income of Indian Life Insurance Indusry A Toal Facor Produciviy Approach Ram Praap Sinha* Subsequen o he passage of he Insurance Regulaory and Developmen Auhoriy (IRDA) Ac, 1999, he life insurance

More information

St. Gallen, Switzerland, August 22-28, 2010

St. Gallen, Switzerland, August 22-28, 2010 Session Number: Parallel Session 4A Time: Tuesday, Augus 24, PM Paper Prepared for he 31s General Conference of The Inernaional Associaion for Research in Income and Wealh S. Gallen, Swizerland, Augus

More information

RC (Resistor-Capacitor) Circuits. AP Physics C

RC (Resistor-Capacitor) Circuits. AP Physics C (Resisor-Capacior Circuis AP Physics C Circui Iniial Condiions An circui is one where you have a capacior and resisor in he same circui. Suppose we have he following circui: Iniially, he capacior is UNCHARGED

More information

the Korean Housing Market *

the Korean Housing Market * The Buildin of ew Reverse Morae Paymen Plans in he Korean Housin Marke Ma, Seunryul Cho, Deokho Absrac A reverse morae sysem is reconized as an imporan financial vehicle o supplemen curren social securiy

More information

Chapter 9 Bond Prices and Yield

Chapter 9 Bond Prices and Yield Chaper 9 Bond Prices and Yield Deb Classes: Paymen ype A securiy obligaing issuer o pay ineress and principal o he holder on specified daes, Coupon rae or ineres rae, e.g. 4%, 5 3/4%, ec. Face, par value

More information

The Grantor Retained Annuity Trust (GRAT)

The Grantor Retained Annuity Trust (GRAT) WEALTH ADVISORY Esae Planning Sraegies for closely-held, family businesses The Granor Reained Annuiy Trus (GRAT) An efficien wealh ransfer sraegy, paricularly in a low ineres rae environmen Family business

More information

Impact of scripless trading on business practices of Sub-brokers.

Impact of scripless trading on business practices of Sub-brokers. Impac of scripless rading on business pracices of Sub-brokers. For furher deails, please conac: Mr. T. Koshy Vice Presiden Naional Securiies Deposiory Ld. Tradeworld, 5 h Floor, Kamala Mills Compound,

More information

Sustainability of current account deficit with high oil prices: Evidence from Turkey 1

Sustainability of current account deficit with high oil prices: Evidence from Turkey 1 Inernaional Journal of Economic Sciences Vol. III / No. 2 / 2014 Susainabiliy of curren accoun defici wih high oil prices: Evidence from Turkey 1 Erkan Özaa ABSTRACT Curren accoun defici as a raio of GDP

More information

CRISES AND THE FLEXIBLE PRICE MONETARY MODEL. Sarantis Kalyvitis

CRISES AND THE FLEXIBLE PRICE MONETARY MODEL. Sarantis Kalyvitis CRISES AND THE FLEXIBLE PRICE MONETARY MODEL Saranis Kalyviis Currency Crises In fixed exchange rae regimes, counries rarely abandon he regime volunarily. In mos cases, raders (or speculaors) exchange

More information

Description of the CBOE S&P 500 BuyWrite Index (BXM SM )

Description of the CBOE S&P 500 BuyWrite Index (BXM SM ) Descripion of he CBOE S&P 500 BuyWrie Index (BXM SM ) Inroducion. The CBOE S&P 500 BuyWrie Index (BXM) is a benchmark index designed o rack he performance of a hypoheical buy-wrie sraegy on he S&P 500

More information

Equities: Positions and Portfolio Returns

Equities: Positions and Portfolio Returns Foundaions of Finance: Equiies: osiions and orfolio Reurns rof. Alex Shapiro Lecure oes 4b Equiies: osiions and orfolio Reurns I. Readings and Suggesed racice roblems II. Sock Transacions Involving Credi

More information

The Causes of Recent Inflation in Vietnam: Evidence from a. VAR with Sign Restrictions

The Causes of Recent Inflation in Vietnam: Evidence from a. VAR with Sign Restrictions The Causes of Recen Inflaion in Vienam: Evidence from a VAR wih Sign Resricions Tuan Khai Vu Faculy of Economics, Seikei Universiy Firs version: Jan,. This version: May,. (Preliminary. Commens are welcome.)

More information

Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary

Random Walk in 1-D. 3 possible paths x vs n. -5 For our random walk, we assume the probabilities p,q do not depend on time (n) - stationary Random Walk in -D Random walks appear in many cones: diffusion is a random walk process undersanding buffering, waiing imes, queuing more generally he heory of sochasic processes gambling choosing he bes

More information

THE SUPPLY OF STOCK MARKET RETURNS. Roger G. Ibbotson Yale University. Peng Chen Ibbotson Associates, Inc.

THE SUPPLY OF STOCK MARKET RETURNS. Roger G. Ibbotson Yale University. Peng Chen Ibbotson Associates, Inc. THE SUPPLY OF STOCK MARKET RETURNS Roger G. Ibboson Yale Universiy Peng Chen Ibboson Associaes, Inc. June 2001 The Supply of Sock Marke Reurns Roger G. Ibboson, Ph.D. Professor in he Pracice of Finance

More information

Permutations and Combinations

Permutations and Combinations Permuaions and Combinaions Combinaorics Copyrigh Sandards 006, Tes - ANSWERS Barry Mabillard. 0 www.mah0s.com 1. Deermine he middle erm in he expansion of ( a b) To ge he k-value for he middle erm, divide

More information

Two Essays on Corporate Income Taxes and Organizational Forms in the United States

Two Essays on Corporate Income Taxes and Organizational Forms in the United States Two Essays on Corporae Income Taxes and Organizaional Forms in he Unied Saes A Disseraion Presened o The Academic Faculy By Zhenhua Hu In Parial Fulfillmen Of he Requiremens for he Degree Docor of Philosophy

More information

INTEREST RATE FUTURES AND THEIR OPTIONS: SOME PRICING APPROACHES

INTEREST RATE FUTURES AND THEIR OPTIONS: SOME PRICING APPROACHES INTEREST RATE FUTURES AND THEIR OPTIONS: SOME PRICING APPROACHES OPENGAMMA QUANTITATIVE RESEARCH Absrac. Exchange-raded ineres rae fuures and heir opions are described. The fuure opions include hose paying

More information

Journal of Business & Economics Research Volume 1, Number 10

Journal of Business & Economics Research Volume 1, Number 10 Annualized Invenory/Sales Journal of Business & Economics Research Volume 1, Number 1 A Macroeconomic Analysis Of Invenory/Sales Raios William M. Bassin, Shippensburg Universiy Michael T. Marsh (E-mail:

More information

Supplementary Appendix for Depression Babies: Do Macroeconomic Experiences Affect Risk-Taking?

Supplementary Appendix for Depression Babies: Do Macroeconomic Experiences Affect Risk-Taking? Supplemenary Appendix for Depression Babies: Do Macroeconomic Experiences Affec Risk-Taking? Ulrike Malmendier UC Berkeley and NBER Sefan Nagel Sanford Universiy and NBER Sepember 2009 A. Deails on SCF

More information

INTRODUCTION TO EMAIL MARKETING PERSONALIZATION. How to increase your sales with personalized triggered emails

INTRODUCTION TO EMAIL MARKETING PERSONALIZATION. How to increase your sales with personalized triggered emails INTRODUCTION TO EMAIL MARKETING PERSONALIZATION How o increase your sales wih personalized riggered emails ECOMMERCE TRIGGERED EMAILS BEST PRACTICES Triggered emails are generaed in real ime based on each

More information

AP Calculus BC 2010 Scoring Guidelines

AP Calculus BC 2010 Scoring Guidelines AP Calculus BC Scoring Guidelines The College Board The College Board is a no-for-profi membership associaion whose mission is o connec sudens o college success and opporuniy. Founded in, he College Board

More information

MIKLÓS SZABÓ: GENERATIONAL ACCOUNTING FOR HUNGARY

MIKLÓS SZABÓ: GENERATIONAL ACCOUNTING FOR HUNGARY PHD PROGRAM IN ECONOMICS BUDAPEST CORVINUS UNIVERSITY MIKLÓS SZABÓ: GENERATIONAL ACCOUNTING FOR HUNGARY FISCAL SUSTAINABILITY AND INTERGENERATIONAL REDISTRIBUTION (PHD THESIS) JUNE 2005 SUPERVISOR: PROF.

More information

SEB Commodity Sector Index Series. Index Rules January 2014

SEB Commodity Sector Index Series. Index Rules January 2014 EB Commodiy ecor ndex eries ndex Rules January 2014 PART A 1. nroducion 1.1 ndex Descripion The EB Commodiy ecor ndex eries (The ndices ) is a family of benchmark indices ha covers all he major commodiy

More information

Newton s Laws of Motion

Newton s Laws of Motion Newon s Laws of Moion MS4414 Theoreical Mechanics Firs Law velociy. In he absence of exernal forces, a body moves in a sraigh line wih consan F = 0 = v = cons. Khan Academy Newon I. Second Law body. The

More information

Elements of Natural Tax Planning in Nigeria - A Case Study

Elements of Natural Tax Planning in Nigeria - A Case Study HE CLASSIFICAION OF CAPIAL AND REVENUE IN ACCOUNING AND HE DEFINIION OF INCOME IN HE MARKE-PLACE WORKING PAPER SERIES Working Paper No. 73 July 200 Correspondence o: Kevin J. Holmes, Professor kevin.holmes@vuw.ac.nz

More information

II.1. Debt reduction and fiscal multipliers. dbt da dpbal da dg. bal

II.1. Debt reduction and fiscal multipliers. dbt da dpbal da dg. bal Quarerly Repor on he Euro Area 3/202 II.. Deb reducion and fiscal mulipliers The deerioraion of public finances in he firs years of he crisis has led mos Member Saes o adop sizeable consolidaion packages.

More information

The Determinants of Trade Credit: Vietnam Experience

The Determinants of Trade Credit: Vietnam Experience Proceedings of he Second Asia-Pacific Conference on Global Business, Economics, Finance and Social Sciences (AP15Vienam Conference) ISBN: 978-1-63415-833-6 Danang, Vienam, 10-12 July 2015 Paper ID: V536

More information

Imagine a Source (S) of sound waves that emits waves having frequency f and therefore

Imagine a Source (S) of sound waves that emits waves having frequency f and therefore heoreical Noes: he oppler Eec wih ound Imagine a ource () o sound waes ha emis waes haing requency and hereore period as measured in he res rame o he ource (). his means ha any eecor () ha is no moing

More information

WHAT ARE OPTION CONTRACTS?

WHAT ARE OPTION CONTRACTS? WHAT ARE OTION CONTRACTS? By rof. Ashok anekar An oion conrac is a derivaive which gives he righ o he holder of he conrac o do 'Somehing' bu wihou he obligaion o do ha 'Somehing'. The 'Somehing' can be

More information

USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES

USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES USE OF EDUCATION TECHNOLOGY IN ENGLISH CLASSES Mehme Nuri GÖMLEKSİZ Absrac Using educaion echnology in classes helps eachers realize a beer and more effecive learning. In his sudy 150 English eachers were

More information

Nikkei Stock Average Volatility Index Real-time Version Index Guidebook

Nikkei Stock Average Volatility Index Real-time Version Index Guidebook Nikkei Sock Average Volailiy Index Real-ime Version Index Guidebook Nikkei Inc. Wih he modificaion of he mehodology of he Nikkei Sock Average Volailiy Index as Nikkei Inc. (Nikkei) sars calculaing and

More information