Ground Rules. Guide to Calculation Methods for the Fixed Income Indexes v1.5

Size: px
Start display at page:

Download "Ground Rules. Guide to Calculation Methods for the Fixed Income Indexes v1.5"

Transcription

1 Groud Rules Guide to Calculatio Methods for the Fixed Icome Idexes v1.5 ftserussell.com December 2015

2 Cotets 1.0 Itroductio Idex level calculatios Bod level calculatios Appedix 1: Key to terms Appedix 2: Day to Cout Covetios Appedix 3: Further iformatio FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

3 Sectio 1 Itroductio 1.0 Itroductio 1.1 The aims of the guide are: A. To describe how FTSE fixed icome idexes are calculated; B. To make it easier for users to replicate the idexes i order to support their ivestmet ad tradig activities; ad C. To assist users i uderstadig the compoets which ifluece the performace of the idexes. 1.2 This guide covers commoly used calculatios i the followig FTSE fixed icome idexes: FTSE Actuaries UK Gilts Idex Series FTSE TMX Caada Idex Family FTSE-BOCHK Offshore RMB Bod Idex Series FTSE Global Bod Idex Series FTSE ASFA Australia Bod Idex Series FTSE Chia Oshore Bod Idex Series FTSE MTS Idex Series 1.3 The guide is set out ito two further sectios, sectio 2 covers idex level calculatios such as idex total retur ad idex yield for example. Sectio 3 covers bod level calculatios such as accrued iterested, bod yield ad duratio. 1.4 For calculatios that are specific to a particular idex family, please cosult the relevat groud rules or calculatio guide. 1.5 FTSE Russell is a tradig ame of Frak Russell Compay (FRC), FTSE Iteratioal Limited (FTSE) ad FTSE TMX Global Debt Capital Markets, Ic. (FTSE TMX). FRC, FTSE ad FTSE TMX are each bechmark admiistrators of idexes. Refereces to FTSE Russell should be iterpreted as a referece to the relevat bechmark admiistrator for the relevat idex. FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

4 1.6 The table below summarizes the calculatios that are applicable to each idex family. Calculatio Sectio FTSE Actuaries UK Gilts FTSE TMX Caada Idex Level 2.0 Total Retur: x x x x x x Stadard Total Retur: ex-div x re-ivest Clea Price Idex x x x x x Gross Price Idex x Idex Yield x x x x x x Idex Yield (MVW x x oly) Idex Duratio, x x x x x x Covexity Idex Duratio, x Covexity (cash) Idex Coupo x x x x x x x Idex Remaiig Life x x x x x FTSE-BOCHK Offshore RMB FTSE Global Bod FTSE MTS 1 FTSE ASFA Australia FTSE Chia Oshore Bod Bod Level 3.0 Accrued Iterest 3.1 x x x x x x x Yield to Maturity 3.2 x x x x x x x Macaulay Duratio 3.3 x x x x x x x Modified Duratio 3.4 x x x x x x x Covexity 3.5 x x x x x x x DV x x x 1 Applies to FTSE MTS post March 2016 FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

5 Sectio 2 Idex level calculatios 2.0 Idex level calculatios This sectio details the commo idex level calculatios that are used across differet FTSE fixed icome idex families, which refer to this guide. For each idex calculatio, a descriptio is give alog with the formulae, ad a list of the idex families that the calculatio applies to. The key to the otatio used i this documet ca be foud i Appedix Total Retur Idex (TRI) The total retur idex seeks to replicate the retur from holdig the idex portfolio; it gives the market value weighted retur of the idex costituets, takig ito accout price movemets, accrued iterest ad cash-flows from the bods (icludig coupo paymets, redemptios or repurchases) TRI: Stadard Formula Applies to: FTSE Global Bods FTSE BOCHK Offshore RMB FTSE TMX Caada FTSE MTS FTSE ASFA Australia FTSE Chia Oshore The geeralised total retur idex formula ca be expressed as: TR t = TR t-1 P i,t +AI i,t +XDIV i,t. FFXX ii,tt. N i,t-1. R i,t.cf i,t +Cash i,t P i,t-1 +AI i,t-1 +XDIV i,t-1. FFXX ii,tt 1.N i,t-1.r i,t-1.cf i,t +Cash i,t-1 The behavior of the idividual terms i this formula are described i the followig sectios. For idexes that do ot have bods that go ex-divided or do ot cotai cappig, the formula ca further be simplified: TR t =TR t-1 P i,t +AI i,t. FFXX ii,tt.n. i,t-1. R i,t +Cash i,t P i,t-1 +AI i,t-1. FFXX ii,tt 1.N i,t-1..r i,t-1 +Cash i,t-1 FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

6 2.1.2 Idex Cash The cash term i the total retur formula, Cash i,t is the sum of ay coupos, G i,t ad ay pricipal repaymets, RD i,t from bod i, which have accumulated sice the last cashflow re-ivestmet date util the calculatio date, t ad ca be expressed as: where: ad: Cash i,t =Cash i,t-1 + G i,t +RD i,t G i,t = c i f i XD_Marker i. FFXX ii,tt.n i,t-1.r i,c.cf i,t RD i,t = R i,t-1 -R i,t RP i,t.n i,t-1 CF i,t For idexes that re-ivest cash o a daily basis, such as the FTSE TMX ad MTS idices, Cash i,t-1, is always zero. For idexes that re-ivest cash o a mothly basis, Cash i,t-1 is the cashflow assiged to the bod o the previous calculatio date, uless t-1 is the cash re-ivestmet date, i which case it is set to zero Ex-Divided treatmet For bods that go ex-divided, bodholders are ot eligible to receive the ext coupo if they are ot the holder of the bod prior to the ex-divided date. This has two implicatios o the total retur, which are accouted for the total retur idex formula i sectio Accrued Iterest Whe a bod is tradig ex-divided the accrued iterest turs egative. Whe chai-likig with the previous calculatio day s accrued iterest, a adjustmet eeds to be made to reflect this drop. This is doe via XDIV i,t : XDIV i,t = c i f i.xd_marker i.n i,t.r i,c.cf i,t For bods which do ot have coupos that go ex-divided XDIV i,t =0. 2. Idex Rebalacig. If a bod eters a idex durig its ex-divided period, the ext coupo paymet will ot be recogised i the total retur as it is assumed that ayoe replicatig the idex will have bought the bod durig its ex-divided period, ad will ot be eligible to receive the ext coupo paymet. If a bod does eter the idex durig its ex-divided period, XD_Marker i =0, otherwise it is XD_Marker i = Cappig Factors The total retur formula i sectio takes ito accout ay cappig that is applicable to bod i. CF i,t = Capped Bod Notioal i N i,t If the idex does ot iclude ay cappig, or the bod is ot capped, the Cappig Factor, CF i,t is equal to 1. The cappig factor is reset o ay date that the idex cappig is applied, which is usually the same day as the idex is rebalaced. FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

7 2.1.5 Pricipal Redemptios Ay partial or complete redemptios eed to be accouted for i the calculatio of the total retur, so that i) ay redemptio icome is realised ad ii) the market value of the remaiig bod is adjusted dowward, proportioal to the amout that is redeemed. I the total retur idex formula i sectio 2.1.1, this is hadled by the redemptio factor, R i,t. New Bod Outstadig Amout R i,t = N i,t As N i,t is reset to the curret bod outstadig amout o each rebalacig date, R i,t is reset to equal 1 o each rebalacig date TRI: Ex-div Re-ivestmet Applies to: FTSE Actuaries UK Gilts For idexes which iclude bods whose coupos go ex-divided ad ay coupo icome is reivested o the ex-divided date, the total retur idex ca be expressed as: 2.2 Clea Price Idex (PRI) PRI: Stadard Formula TR t =TR t-1 Applies to: FTSE Global Bods FTSE TMX Caada FTSE MTS FTSE ASFA Australia FTSE Chia Oshore P i,t +AI i,t. FFXX ii,tt. N i,t-1. P i,t-1 +AI i,t-1 -XDIV. FFXX ii,tt 1.N i,t-1. The stadard clea price idex takes ito accout the market value weighted clea-price movemets of the idex costituets: 2.3 Gross Price Idex (GPI) GPI: Stadard Formula Applies to: FTSE Actuaries UK Gilts PR t =PR t-1 P i,t. FFXX ii,tt. N i,t-1. R i,t-1.cf i,t-1 P i,t-1. FFXX ii,tt 1.N i,t-1. R i,t-1.cf i,t-1 The stadard clea price idex takes ito accout the market value weighted gross or dirty price movemets of the idex costituets: (P i,t +AI i,t ). FFXX ii,tt.n i,t-1. R i,t-1.cf i,t-1 PR t =PR t-1 (P i,t-1 +AI i,t-1 ). FFXX ii,tt 1.N i,t-1. R i,t-1.cf i,t-1 FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

8 2.4 Idex Yield Idex Yield: Duratio\MVW Weightig Applies to: FTSE Global Bods FTSE ASFA Australia FTSE MTS FTSE Actuaries UK Gilts FTSE BOCHK Offshore RMB FTSE Chia Oshore The stadard approach to calculate idex yield is to weight the average yield of the costituets by modified duratio ad market value (MVW): Idex Yield t = MV i,t.y i,t. MD i,t MV i,t.md i,t Where the market value of bod i o date t, MV i,t, is give by Idex Yield: MVW Applies to: FTSE TMX Caada MV i,t = P i,t +A i,t N i,t-1, R i,t.cf i,t For idexes that weight the costituet yields by market value oly, the idex yield is give by: 2.5 Idex Rate Sesitivities Idex Duratio ad Covexity: MVW Applies to: FTSE Global Bods FTSE ASFA Australia FTSE TMX Caada FTSE MTS FTSE Actuaries UK Gilts FTSE Chia Oshore Idex Yield t = MV i,t.y i,t. MV i,t The Idex Duratio, Modified Duratio, DV01 (if applicable) ad Covexity are weighted market value: Idex_Sesitivity t = MV i,t.sesitivity i,t. MV i,t Where Sesitivity (i,t.) is the duratio, DV01, modified duratio or covexity of bod i o date t Idex Duratio ad Covexity: with Cash Applies to: FTSE BOCHK Offshore RMB I The FTSE BOCHK Offshore RMB idex, the iterest rate sesitivities are weighted by market-value ad the idex cash amout. The formula to calculate the Idex Duratio, Modified Duratio, Covexity ad Idex Average Remaiig Life is: Idex_Sesitivity t = MV i,t.sesitivity i,t. MV i,t +Idex_Cash t FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

9 Where Sesitivity (i,t.) is the duratio, modified duratio or covexity of bod i o date t, ad Idex_Cash t is the sum of all the coupo ad redemptio icome from the idex costituets, as defied i sectio FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

10 2.6 Average Coupo Idex Average Coupo Applies to: FTSE Global Bods FTSE ASFA Australia FTSE TMX Caada FTSE MTS FTSE Actuaries UK Gilts FTSE BOCHK Offshore RMB FTSE Chia Oshore The average coupo level is the otioal weighted average coupo rate: Average Coupo t = C i,t. N i,t. R i,t.cf i,t N i,t. R i,t.cf i,t 2.7 Average Remaiig Life Idex Average Remaiig Life (MVW) Applies to: FTSE Global Bods FTSE BOCHK Offshore RMB FTSE ASFA Australia FTSE MTS FTSE Chia Oshore This measure gives the weighted average remaiig life of all the costituets i the idex. AAAAAAAAAAAAAA RRRRRRRRRRRRRRRRRR LLLLLLee tt = ww ii,tt. LL ii,tt. i I the formula above, the weight of bod i, ww ii,tt is the market value size of the bod relative to the market value of all the bods the idex: ww ii,tt = i MMVV ii,tt MMVV ii,tt I the FTSE MTS ad Global Bods Idexes, the weight of bod i, ww ii,tt is the otioal size of the bod relative to all of the bods the idex: ww ii,tt = i NN ii,tt. RR ii,tt. CCFF ii,tt NN ii,tt. RR ii,tt. CCFF ii,tt FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

11 Sectio 3 Bod level calculatios 3.0 Bod level calculatios This sectio details bod level calculatios that are used across differet FTSE fixed icome idex families. The formulae for the calculatios are geerally the same; however, they accout for local market covetios, such as day cout covetios or roudig. Where these occur, they are highlighted. 3.1 Accrued Iterest The accrued iterest is calculated as the iterest payable whe purchasig a bod, this is to accout for the iterest icome that is due to the previous ower of the bod, who will ot be receivig the ext coupo paymet. Accrued iterest is calculated as follows: A i,t =fractioal iterest period i,t C i f i For bods whose coupos do ot go ex-divided, or are ot i their ex-divided period, fractioal iterest period i,t is calculated as the time betwee the previous coupo date ad the settlemet date, i terms of coupo periods, accordig to the day cout covetio of the bod. More specifically, the fractioal iterest period i,t is: Settlemet Date-Previous Coupo Date fractioal iterest period i,t = Number of days i coupo period The umber of days i the umerator ad the deomiator are calculated accordig to the day cout covetio of the bod. For further details o day cout covetios, please cosult Appedix 2. For bods which are curretly i the ex-divided coupo period, the fractioal coupo period is calculated as the time betwee the ext coupo date ad the settlemet date, i terms of coupo periods, accordig to the day cout covetio of the bod. Sice the ext coupo date is always after the settlemet date, the fractioal coupo period is egative. More specifically, the fractioal iterest period i,t for bods i their ex-divided period is: Next Coupo Date-Settlemet Date fractioal iterest period i,t = Number of days i coupo period The calculatio of accrued iterest, accouts for odd first ad last coupos. FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

12 3.1.1 Accrued Iterest: Bak of Caada Method For CAD$ bods, accrued iterest is calculated accordig to the ACT/365 day cout covetio. This affects the calculatio of reported accrued iterest used for the cash settlemet of the bod; however, the accrued iterest for the purpose of the gross price calculatio (to be used i the followig Yield ad Duratio calculatios) is calculated o a ACT/ACT basis. 3.2 Yield to Maturity The yield to maturity of a bod is the costat discout rate which will discout all future cashflows of a bod to equal its curret clea price plus accrued iterest (dirty price). The yield to maturity is foud by solvig the followig formula iteratively: mm PP ii,tt + AA ii,tt =. kk=1 CCCCCChFFFFFFww ii,kk (1 + YY ii,tt ff ii,tt ) vv rr +kk 1 The compoudig frequecy of the calculated yield to maturity, Y i,t correspods to the compoudig frequecy of the bod. For example, if the coupo frequecy is semi-aual (f i =2), the the calculated yield will be compouded o a semi-aual basis Yield Coversios I order to aualise a semi-aually compouded yield, the followig formula is used: aual yield= 1+ Y i,t I order to derive a semi-aually compouded yield from a aual yield, the followig formula is used: Simple Yield semi_aual yield=2 aual yield i,t +1-2 For bods eterig their fial coupo period, the simple yield is calculated, o a moey market basis (ACT/360 or ACT/365) istead of yield to maturity. SY i,t = FV i-(p i,t +A i,t ) 360 or 365. P i,t +A i,t v 3.3 Macaulay Duratio The Macaulay duratio of a bod is the time weighted average of the remaiig cashflows. It ca be calculated as: 3.4 Modified Duratio MacDur i,t = M k=1 CashFlow k. P i,t +A i,t.f i k 1+ Y i,t f i The modified duratio of a bod is the percetage chage i the price arisig from a 1% chage i the yield to maturity. It ca be calculated as: ModDur i,t = MacDur i,t 1+ YY ii,tt ff ii,tt vv rr +k-1 FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

13 3.5 Covexity The covexity of a bod is the chage i modified duratio arisig from a 1% chage i the yield to maturity. It ca be calculated as: MM kk=1 = (kk + kk 2 ). CCCCCChFFFFFFww ii,kk (1 + YY ii,tt ) vv rr ff +kk+1 ii PP ii,tt + AA ii,tt. ff ii DV01 The DV01 measure shows the absolute chage i the bod price for a 1bp chage i the yield. It ca be calculated as the product of the dirty (or gross) price of a bod ad its modified duratio: DV01 i,t =(P i,t +A i,t ) ModDur i,t /100 FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

14 Appedix 1: Key to terms Key to Terms AAII ii,tt cc ii CCCCCCCCCCCC BBBBBBBB NNNNNNNNNNNNNNll ii CCCCCCh ii,tt CCCCCChFFFFFFww ii,kk CCFF ii CCCCCCCCxx ii,tt DDDD01 ii,tt ff ii FFFF ii FFFF ii,tt GG ii,tt kk LL ii,tt MM MMMMMMMMMMrr ii,tt MMDD ii,tt MMVV ii,tt NN ii,tt The accrued iterest for bod i o date t The coupo rate of bod i The capped otioal amout of bod I, this is fixed at the last idex cappig date. The total cashflows from bod i o date t sice the last rebalace date The cashflow due from bod i at time period k The cappig factor applicable to bod i The covexity of bod i at time t The dollar value of a basis poit of bod i at time t The umber of coupo paymets per year from bod i The fial paymet from bod i, icludig pricipal ad coupo (if applicable) The foreig exchage rate associated with bod i at time t. It is quoted as local/base ad i cases where base currecy of the idex is the same as the local currecy, the rate is 1. The coupo icome received from bod i at time t Couter to idicate the time i coupo periods The expected remaiig life of bod i o date t Superscript to deote the complete umber of coupo periods util the maturity date The Macaulay duratio of bod i at time t The modified duratio of bod i at time t The market value of bod i at time t Superscript to deote the umber of bods i the idex The omial amout outstadig amout of bod i at time t. This is fixed at the last idex rebalacig date. ttad tt 1 Time subscripts to deote the curret ad previous calculatio date. PP ii,tt RR ii,cc The clea price of bod i o date t Fractio to deote the cumulative amout of bod i that has bee FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

15 RR ii,tt RRDD ii,tt RRPP ii,tt r SSSSSSSSSSSSSSSSSSSSSS ii,tt. SSSS ii,tt v XXXXXXVV ii,tt XXDD_MMMMMMMMMMMM ii YY ii,tt. repurchased, up util coupo paymet date t, sice the previous rebalacig date. Fractio to deote the cumulative amout of bod i that has bee repurchased, up util date t, sice the previous rebalacig date. The redemptio icome due from bod i o date t The redemptio price of bod i at time t, if the bod is partially or etirely redeemed o date t. The umber of days i the coupo period, calculated accordig to the day cout covetio of the bod Ca represet MMMMMMMMMMrr ii,tt, MMDD ii,tt,ccccccccxx ii,tt or DDDD01 ii,tt The simple yield of bod i at time t The umber of dates betwee day i ad the ext cash flow date, calculated accordig to the day cout covetio of the bod This is the coupo that is payable by bod i o date t, durig its ex-div period. Otherwise it is zero. This is set to 0 if a bod eters the idex durig its coupo ex-divided date. If it eters the idex outside its ex-divided period, or does ot go exdivided, it is set to 1. The yield to maturity for bod i at time t FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

16 Appedix 2: Day to Cout Covetios Bod level calculatios such as yield, accrued iterest, duratio ad covexity rely o the day-cout covetio of each bod. These covetios describe the assumptios that are used whe calculatig the umber of days betwee two dates. The mai day cout covetios are: ACT/ACT ACT/365 ACT/360 30/360 30/360 (US) 30/360 (Eurobod) The first part of the covetio ame, before the /, idicates the assumed umber of days i a moth betwee two dates. The part after the / idicates the umber of assumed days i a year. Whe usig the 30/360 covetio for example, the 30 meas that there are a assumed 30 days i each moth betwee two dates, ad the 360 meas that there are 360 days i each year betwee two dates. ACT meas that the actual umber of days are couted. The 30/360 (US) ad the 30/360 (Euro) covetios are similar to the 30/360, but vary i the adjustmets to the start ad ed dates: 30/360 (US) 1. If the day of the start date (D1) is 31, D1 is chaged to 30, the 2. If the day of the ed date (D2) is 31, ad D1 is 30, the chage D2 to /360 (Euro) 1. If the day of the start date (D1) is 31, the D1 is chaged to 30, the 2. If the day of the ed date (D2) is 31, the chage D2 to 30. Additioally, there are covetios o the treatmet of o-busiess days, such as: Followig - If a date falls o a o-busiess day, it is moved forward to the ext busiess day. Modified Followig - If a date falls o a o-busiess day, it is moved forward to the ext busiess day, uless that day is i the ext caledar moth, i which case the previous busiess day is used. Ed of Moth - This meas that each date is adjusted so that it falls at the o the last caledar day of the moth. I order to illustrate the differet day cout covetios, the examples below show how the accrued iterest is calculated for a bod uder various scearios. FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

17 Example 1 ACT/ACT Coupo 2.75% semi-aual Maturity 21 Apr 2024 Settlemet Date 04 Aug 2014 Previous Coupo Date 21 Apr 2014 Next Coupo date 21 Oct 2014 I this example, the bod pays a coupo of 2.75 semi-aually, ad uses the ACT/ACT day cout covetio. The accrued iterest ca be calculated as: A i,t =fractioal iterest period i,t C i f i where: Settlemet Date-Previous Coupo Date fractioal iterest period_(i,t)= Number of days i coupo period Usig the ACT/ACT covetio, the actual umber of caledar days betwee the settlemet date of 04 August 2014 ad the previous coupo date of 21 Apr 2014 is 105 days. The actual umber of days i the coupo period, betwee the ext coupo date of 21 October 2014 ad the ext coupo date of 21 October 2014 is 183 days. This gives the fractioal iterest period i,t as: The accrued iterest is therefore: Example 2 ACT/365 fractioal iterest period i,t = = AA ii,tt = % 2 = Usig the ACT/365covetio, the actual umber of days i a moth are used, but each year is assumed to cosist of 365 days. Usig the example above, the umerator ad the deomiated of the fractioal iterest period (i,t) is calculated as follows: Settlemet date Previous Coupo Date = 04 August April 2014 = 105 days Number of Days i coupo period = 365days i a year/2 coupos per year = 182.5days The accrued iterest is therefore: A i,t = % = FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

18 Example 3 30/360 Uder the 30/360 day cout covetio, it is assumed that there are 30 days i a moth, ad 360 days i a whole year. I order to calculate the period betwee two dates; first the umber of moths betwee the two dates is foud ad multiplied by 30; this is added to the differece betwee the day compoet of the dates. Usig the same details as the bod i example 1, the calculatio is as follows: Settlemet date Previous Coupo Date = 04 August April 2014 = (August April) x 30 days + (4-21) days = (4 * 30) days 17 days = 103 days Number of Days i coupo period = 360 i a year/2 coupos per year The accrued iterest is therefore: Example 4 ACT/365, followig busiess day = 180 days A i,t = % = Agai usig example 1, but with a settlemet date of 07 Mar This meas that the previous coupo date is 21 Oct As the previous coupo date falls o a Saturday, usig the followig busiess day covetio, this date is moved to the ext busiess day: 23 October Settlemet date Previous Coupo Date = 07 Mar Oct 2023 = 136 days Number of Days i coupo period = 365days i a year/2 coupos per year = The accrued iterest is therefore: A i,t = % = FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

19 Appedix 3: Further iformatio A Glossary of Terms used i FTSE Russell s Groud Rule documets ca be foud usig the followig lik: Further iformatio o FTSE fixed icome idexes is available from FTSE. For cotact details please visit the FTSE Russell website or cotact FTSE cliet services at ifo@ftse.com. Website: Lodo Stock Exchage Group compaies. All rights reserved. Lodo Stock Exchage Group compaies icludes FTSE Iteratioal Limited ( FTSE ), Frak Russell Compay ( Russell ), MTS Next Limited ( MTS ), ad FTSE TMX Global Debt Capital Markets Ic. ( FTSE TMX ). All rights reserved. FTSE, Russell, MTS, FTSE TMX ad FTSE Russell ad other service marks ad trademarks related to the FTSE or Russell idexes are trade marks of the Lodo Stock Exchage Group compaies ad are used by FTSE, MTS, FTSE TMX ad Russell uder licece. All iformatio is provided for iformatio purposes oly. Every effort is made to esure that all iformatio give i this publicatio is accurate, but o resposibility or liability ca be accepted by the Lodo Stock Exchage Group compaies or its licesors for ay errors or for ay loss from use of this publicatio. The Lodo Stock Exchage Group compaies do ot provide ivestmet advice ad othig i this documet should be take as costitutig fiacial or ivestmet advice. The Lodo Stock Exchage Group compaies make o represetatio regardig the advisability of ivestig i ay asset. A decisio to ivest i ay such asset should ot be made i reliace o ay iformatio herei. Idexes caot be ivested i directly. Iclusio of a asset i a idex is ot a recommedatio to buy, sell or hold that asset. The geeral iformatio cotaied i this publicatio should ot be acted upo without obtaiig specific legal, tax, ad ivestmet advice from a licesed professioal. No part of this iformatio may be reproduced, stored i a retrieval system or trasmitted i ay form or by ay meas, electroic, mechaical, photocopyig, recordig or otherwise, without prior writte permissio of the Lodo Stock Exchage Group compaies. Distributio of the Lodo Stock Exchage Group compaies idex values ad the use of their idexes to create fiacial products require a licece with FTSE, FTSE TMX, MTS ad/or Russell ad/or its licesors. The Idustry Classificatio Bechmark ( ICB ) is owed by FTSE. FTSE does ot accept ay liability to ay perso for ay loss or damage arisig out of ay error or omissio i the ICB. FTSE Russell Guide to Calculatio Methods for the Fixed Icome Idexes, v1.5, December of 19

Ground rules. Guide to Calculation Methods for the FTSE Fixed Income Indexes v1.3

Ground rules. Guide to Calculation Methods for the FTSE Fixed Income Indexes v1.3 Groud rules Guide to Calculatio Methods for the FTSE Fixed Icome Idexes v1.3 ftserussell.com October 2015 Cotets 1.0 Itroductio... 3 2.0 Idex level calculatios... 5 3.0 Bod level calculatios... 10 Appedix

More information

Guide to Calculation Methods for the FTSE Fixed Income Indexes v1.8

Guide to Calculation Methods for the FTSE Fixed Income Indexes v1.8 Groud Rules Guide to Calculatio Methods for the FTSE Fixed Icome Idexes v1.8 Effective from 13 Jue 2016. ftserussell.com May 2016 Cotets 1.0 Itroductio... 3 2.0 Idex level calculatios... 5 3.0 Bod level

More information

Guide to Calculation FTSE Global Equity Index Series v3.0

Guide to Calculation FTSE Global Equity Index Series v3.0 Guide to Calculatio FTSE Global Equity Idex Series v3.0 ftserussell.com October 2015 Cotets 1.0 Purpose of the guide... 3 2.0 Defiitio of terms... 4 3.0 Capital retur idexes... 5 4.0 Total retur idexes...

More information

Bond Valuation I. What is a bond? Cash Flows of A Typical Bond. Bond Valuation. Coupon Rate and Current Yield. Cash Flows of A Typical Bond

Bond Valuation I. What is a bond? Cash Flows of A Typical Bond. Bond Valuation. Coupon Rate and Current Yield. Cash Flows of A Typical Bond What is a bod? Bod Valuatio I Bod is a I.O.U. Bod is a borrowig agreemet Bod issuers borrow moey from bod holders Bod is a fixed-icome security that typically pays periodic coupo paymets, ad a pricipal

More information

CHAPTER 3 THE TIME VALUE OF MONEY

CHAPTER 3 THE TIME VALUE OF MONEY CHAPTER 3 THE TIME VALUE OF MONEY OVERVIEW A dollar i the had today is worth more tha a dollar to be received i the future because, if you had it ow, you could ivest that dollar ad ear iterest. Of all

More information

A Guide to the Pricing Conventions of SFE Interest Rate Products

A Guide to the Pricing Conventions of SFE Interest Rate Products A Guide to the Pricig Covetios of SFE Iterest Rate Products SFE 30 Day Iterbak Cash Rate Futures Physical 90 Day Bak Bills SFE 90 Day Bak Bill Futures SFE 90 Day Bak Bill Futures Tick Value Calculatios

More information

INVESTMENT PERFORMANCE COUNCIL (IPC)

INVESTMENT PERFORMANCE COUNCIL (IPC) INVESTMENT PEFOMANCE COUNCIL (IPC) INVITATION TO COMMENT: Global Ivestmet Performace Stadards (GIPS ) Guidace Statemet o Calculatio Methodology The Associatio for Ivestmet Maagemet ad esearch (AIM) seeks

More information

Terminology for Bonds and Loans

Terminology for Bonds and Loans ³ ² ± Termiology for Bods ad Loas Pricipal give to borrower whe loa is made Simple loa: pricipal plus iterest repaid at oe date Fixed-paymet loa: series of (ofte equal) repaymets Bod is issued at some

More information

5.4 Amortization. Question 1: How do you find the present value of an annuity? Question 2: How is a loan amortized?

5.4 Amortization. Question 1: How do you find the present value of an annuity? Question 2: How is a loan amortized? 5.4 Amortizatio Questio 1: How do you fid the preset value of a auity? Questio 2: How is a loa amortized? Questio 3: How do you make a amortizatio table? Oe of the most commo fiacial istrumets a perso

More information

TO: Users of the ACTEX Review Seminar on DVD for SOA Exam FM/CAS Exam 2

TO: Users of the ACTEX Review Seminar on DVD for SOA Exam FM/CAS Exam 2 TO: Users of the ACTEX Review Semiar o DVD for SOA Exam FM/CAS Exam FROM: Richard L. (Dick) Lodo, FSA Dear Studets, Thak you for purchasig the DVD recordig of the ACTEX Review Semiar for SOA Exam FM (CAS

More information

Institute of Actuaries of India Subject CT1 Financial Mathematics

Institute of Actuaries of India Subject CT1 Financial Mathematics Istitute of Actuaries of Idia Subject CT1 Fiacial Mathematics For 2014 Examiatios Subject CT1 Fiacial Mathematics Core Techical Aim The aim of the Fiacial Mathematics subject is to provide a groudig i

More information

INVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology

INVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology Adoptio Date: 4 March 2004 Effective Date: 1 Jue 2004 Retroactive Applicatio: No Public Commet Period: Aug Nov 2002 INVESTMENT PERFORMANCE COUNCIL (IPC) Preface Guidace Statemet o Calculatio Methodology

More information

Time Value of Money. First some technical stuff. HP10B II users

Time Value of Money. First some technical stuff. HP10B II users Time Value of Moey Basis for the course Power of compoud iterest $3,600 each year ito a 401(k) pla yields $2,390,000 i 40 years First some techical stuff You will use your fiacial calculator i every sigle

More information

CDs Bought at a Bank verses CD s Bought from a Brokerage. Floyd Vest

CDs Bought at a Bank verses CD s Bought from a Brokerage. Floyd Vest CDs Bought at a Bak verses CD s Bought from a Brokerage Floyd Vest CDs bought at a bak. CD stads for Certificate of Deposit with the CD origiatig i a FDIC isured bak so that the CD is isured by the Uited

More information

How to read A Mutual Fund shareholder report

How to read A Mutual Fund shareholder report Ivestor BulletI How to read A Mutual Fud shareholder report The SEC s Office of Ivestor Educatio ad Advocacy is issuig this Ivestor Bulleti to educate idividual ivestors about mutual fud shareholder reports.

More information

I apply to subscribe for a Stocks & Shares ISA for the tax year 20 /20 and each subsequent year until further notice.

I apply to subscribe for a Stocks & Shares ISA for the tax year 20 /20 and each subsequent year until further notice. IFSL Brooks Macdoald Fud Stocks & Shares ISA Trasfer Applicatio Form IFSL Brooks Macdoald Fud Stocks & Shares ISA Trasfer Applicatio Form Please complete usig BLOCK CAPITALS ad retur the completed form

More information

MainStay Funds IRA/SEP/Roth IRA Distribution Form

MainStay Funds IRA/SEP/Roth IRA Distribution Form MaiStay Fuds IRA/SEP/Roth IRA Distributio Form Do ot use for IRA Trasfers or SIMPLE IRA INSTRUCTIONS Before completig this form, please refer to the applicable Custodial Agreemet ad Disclosure Statemet

More information

.04. This means $1000 is multiplied by 1.02 five times, once for each of the remaining sixmonth

.04. This means $1000 is multiplied by 1.02 five times, once for each of the remaining sixmonth Questio 1: What is a ordiary auity? Let s look at a ordiary auity that is certai ad simple. By this, we mea a auity over a fixed term whose paymet period matches the iterest coversio period. Additioally,

More information

Statement of cash flows

Statement of cash flows 6 Statemet of cash flows this chapter covers... I this chapter we study the statemet of cash flows, which liks profit from the statemet of profit or loss ad other comprehesive icome with chages i assets

More information

Introducing Your New Wells Fargo Trust and Investment Statement. Your Account Information Simply Stated.

Introducing Your New Wells Fargo Trust and Investment Statement. Your Account Information Simply Stated. Itroducig Your New Wells Fargo Trust ad Ivestmet Statemet. Your Accout Iformatio Simply Stated. We are pleased to itroduce your ew easy-to-read statemet. It provides a overview of your accout ad a complete

More information

Information about Bankruptcy

Information about Bankruptcy Iformatio about Bakruptcy Isolvecy Service of Irelad Seirbhís Dócmhaieachta a héirea Isolvecy Service of Irelad Seirbhís Dócmhaieachta a héirea What is the? The Isolvecy Service of Irelad () is a idepedet

More information

I. Why is there a time value to money (TVM)?

I. Why is there a time value to money (TVM)? Itroductio to the Time Value of Moey Lecture Outlie I. Why is there the cocept of time value? II. Sigle cash flows over multiple periods III. Groups of cash flows IV. Warigs o doig time value calculatios

More information

Bond Mathematics & Valuation

Bond Mathematics & Valuation Bod Mathematics & Valuatio Below is some legalese o the use of this documet. If you d like to avoid a headache, it basically asks you to use some commo sese. We have put some effort ito this, ad we wat

More information

Chapter 5 Unit 1. IET 350 Engineering Economics. Learning Objectives Chapter 5. Learning Objectives Unit 1. Annual Amount and Gradient Functions

Chapter 5 Unit 1. IET 350 Engineering Economics. Learning Objectives Chapter 5. Learning Objectives Unit 1. Annual Amount and Gradient Functions Chapter 5 Uit Aual Amout ad Gradiet Fuctios IET 350 Egieerig Ecoomics Learig Objectives Chapter 5 Upo completio of this chapter you should uderstad: Calculatig future values from aual amouts. Calculatig

More information

Savings and Retirement Benefits

Savings and Retirement Benefits 60 Baltimore Couty Public Schools offers you several ways to begi savig moey through payroll deductios. Defied Beefit Pesio Pla Tax Sheltered Auities ad Custodial Accouts Defied Beefit Pesio Pla Did you

More information

FI A CIAL MATHEMATICS

FI A CIAL MATHEMATICS CHAPTER 7 FI A CIAL MATHEMATICS Page Cotets 7.1 Compoud Value 117 7.2 Compoud Value of a Auity 118 7.3 Sikig Fuds 119 7.4 Preset Value 122 7.5 Preset Value of a Auity 122 7.6 Term Loas ad Amortizatio 123

More information

Present Value Tax Expenditure Estimate of Tax Assistance for Retirement Saving

Present Value Tax Expenditure Estimate of Tax Assistance for Retirement Saving Preset Value Tax Expediture Estimate of Tax Assistace for Retiremet Savig Tax Policy Brach Departmet of Fiace Jue 30, 1998 2 Preset Value Tax Expediture Estimate of Tax Assistace for Retiremet Savig This

More information

I apply to subscribe for a Stocks & Shares NISA for the tax year 2015/2016 and each subsequent year until further notice.

I apply to subscribe for a Stocks & Shares NISA for the tax year 2015/2016 and each subsequent year until further notice. IFSL Brooks Macdoald Fud Stocks & Shares NISA trasfer applicatio form IFSL Brooks Macdoald Fud Stocks & Shares NISA trasfer applicatio form Please complete usig BLOCK CAPITALS ad retur the completed form

More information

FM4 CREDIT AND BORROWING

FM4 CREDIT AND BORROWING FM4 CREDIT AND BORROWING Whe you purchase big ticket items such as cars, boats, televisios ad the like, retailers ad fiacial istitutios have various terms ad coditios that are implemeted for the cosumer

More information

For Educational Purposes Only

For Educational Purposes Only PCSYBL-F For Educatioal Purposes ly The materials preseted i this course represet the opiios ad views of the developers ad/or reviewers. Although these materials may have bee reviewed, the views ad opiios

More information

Baan Service Master Data Management

Baan Service Master Data Management Baa Service Master Data Maagemet Module Procedure UP069A US Documetiformatio Documet Documet code : UP069A US Documet group : User Documetatio Documet title : Master Data Maagemet Applicatio/Package :

More information

Investing in Stocks WHAT ARE THE DIFFERENT CLASSIFICATIONS OF STOCKS? WHY INVEST IN STOCKS? CAN YOU LOSE MONEY?

Investing in Stocks WHAT ARE THE DIFFERENT CLASSIFICATIONS OF STOCKS? WHY INVEST IN STOCKS? CAN YOU LOSE MONEY? Ivestig i Stocks Ivestig i Stocks Busiesses sell shares of stock to ivestors as a way to raise moey to fiace expasio, pay off debt ad provide operatig capital. Ecoomic coditios: Employmet, iflatio, ivetory

More information

PENSION ANNUITY. Policy Conditions Document reference: PPAS1(7) This is an important document. Please keep it in a safe place.

PENSION ANNUITY. Policy Conditions Document reference: PPAS1(7) This is an important document. Please keep it in a safe place. PENSION ANNUITY Policy Coditios Documet referece: PPAS1(7) This is a importat documet. Please keep it i a safe place. Pesio Auity Policy Coditios Welcome to LV=, ad thak you for choosig our Pesio Auity.

More information

BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets

BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets BENEIT-CST ANALYSIS iacial ad Ecoomic Appraisal usig Spreadsheets Ch. 2: Ivestmet Appraisal - Priciples Harry Campbell & Richard Brow School of Ecoomics The Uiversity of Queeslad Review of basic cocepts

More information

CHAPTER 11 Financial mathematics

CHAPTER 11 Financial mathematics CHAPTER 11 Fiacial mathematics I this chapter you will: Calculate iterest usig the simple iterest formula ( ) Use the simple iterest formula to calculate the pricipal (P) Use the simple iterest formula

More information

Indexed Survivor Universal Life. Agent product guide 15887 7/10

Indexed Survivor Universal Life. Agent product guide 15887 7/10 Idexed Survivor Uiversal Life Aget product guide 15887 7/10 Idexed Survivor Uiversal Life is a flexible premium survivor uiversal life isurace policy with a idex-liked iterest creditig feature. Buildig

More information

Enhance Your Financial Legacy Variable Annuity Death Benefits from Pacific Life

Enhance Your Financial Legacy Variable Annuity Death Benefits from Pacific Life Ehace Your Fiacial Legacy Variable Auity Death Beefits from Pacific Life 7/15 20172-15B As You Pla for Retiremet, Protect Your Loved Oes A Pacific Life variable auity ca offer three death beefits that

More information

BCP EQUITY INDEX BONDS

BCP EQUITY INDEX BONDS AVAILABLE TO INVESTMENT PENSION ARF/AMRF INVESTORS BCP EQUITY INDEX BONDS TWO CAPITAL SECURE BONDS THAT PROVIDE ACCESS TO LEADING EUROPEAN AND WORLD EQUITY INDICES Track the performace of the Fivex S&E

More information

How To Get A Kukandruk Studetfiace

How To Get A Kukandruk Studetfiace Curret Year Icome Assessmet Form Academic Year 2015/16 Persoal details Perso 1 Your Customer Referece Number Your Customer Referece Number Name Name Date of birth Address / / Date of birth / / Address

More information

Death Beefits from Pacific Life

Death Beefits from Pacific Life Ehace Your Fiacial Legacy Variable Auities with Death Beefits from Pacific Life 9/15 20188-15C FOR CALIFORNIA As You Pla for Retiremet, Protect Your Loved Oes A Pacific Life variable auity ca offer three

More information

BCP ABSOLUTE RETURN BOND 16

BCP ABSOLUTE RETURN BOND 16 AVAILABLE TO INVESTMENT PENSION ARF/AMRF INVESTORS BCP ABSOLUTE A CAPITAL SECURE, ACTIVELY MANAGED, ABSOLUTE RETURN BOND THAT AIMS TO ACHIEVE CONSISTENT, POSITIVE RETURNS Uderlyig Fud has a exceptioal

More information

Sole trader financial statements

Sole trader financial statements 3 Sole trader fiacial statemets this chapter covers... I this chapter we look at preparig the year ed fiacial statemets of sole traders (that is, oe perso ruig their ow busiess). We preset the fiacial

More information

How to use what you OWN to reduce what you OWE

How to use what you OWN to reduce what you OWE How to use what you OWN to reduce what you OWE Maulife Oe A Overview Most Caadias maage their fiaces by doig two thigs: 1. Depositig their icome ad other short-term assets ito chequig ad savigs accouts.

More information

Corporation tax trading profits

Corporation tax trading profits 2 Corporatio tax tradig profits this chapter covers... I this chapter we provide a brief review of the Corporatio Tax computatio, ad examie the step by step procedures for compilig the computatio, before

More information

Swaps: Constant maturity swaps (CMS) and constant maturity. Treasury (CMT) swaps

Swaps: Constant maturity swaps (CMS) and constant maturity. Treasury (CMT) swaps Swaps: Costat maturity swaps (CMS) ad costat maturity reasury (CM) swaps A Costat Maturity Swap (CMS) swap is a swap where oe of the legs pays (respectively receives) a swap rate of a fixed maturity, while

More information

Shareholder Information Brochure

Shareholder Information Brochure The Ivestor Service ad Automatic Divided Reivestmet Program for Shareholders of Johso & Johso Shareholder Iformatio Brochure The Program is sposored ad admiistered by Computershare Trust Compay, N.A.,

More information

Learning objectives. Duc K. Nguyen - Corporate Finance 21/10/2014

Learning objectives. Duc K. Nguyen - Corporate Finance 21/10/2014 1 Lecture 3 Time Value of Moey ad Project Valuatio The timelie Three rules of time travels NPV of a stream of cash flows Perpetuities, auities ad other special cases Learig objectives 2 Uderstad the time-value

More information

Example: Probability ($1 million in S&P 500 Index will decline by more than 20% within a

Example: Probability ($1 million in S&P 500 Index will decline by more than 20% within a Value at Risk For a give portfolio, Value-at-Risk (VAR) is defied as the umber VAR such that: Pr( Portfolio loses more tha VAR withi time period t)

More information

Baan Finance Accounts Payable

Baan Finance Accounts Payable Baa Fiace Accouts Payable Module Procedure UP035A US Documetiformatio Documet Documet code : UP035A US Documet group : User Documetatio Documet title : Accouts Payable Applicatio/Package : Baa Fiace Editio

More information

Present Value Factor To bring one dollar in the future back to present, one uses the Present Value Factor (PVF): Concept 9: Present Value

Present Value Factor To bring one dollar in the future back to present, one uses the Present Value Factor (PVF): Concept 9: Present Value Cocept 9: Preset Value Is the value of a dollar received today the same as received a year from today? A dollar today is worth more tha a dollar tomorrow because of iflatio, opportuity cost, ad risk Brigig

More information

For customers Key features of the Guaranteed Pension Annuity

For customers Key features of the Guaranteed Pension Annuity For customers Key features of the Guarateed Pesio Auity The Fiacial Coduct Authority is a fiacial services regulator. It requires us, Aego, to give you this importat iformatio to help you to decide whether

More information

Best of security and convenience

Best of security and convenience Get More with Additioal Cardholders. Importat iformatio. Add a co-applicat or authorized user to your accout ad you ca take advatage of the followig beefits: RBC Royal Bak Visa Customer Service Cosolidate

More information

ODBC. Getting Started With Sage Timberline Office ODBC

ODBC. Getting Started With Sage Timberline Office ODBC ODBC Gettig Started With Sage Timberlie Office ODBC NOTICE This documet ad the Sage Timberlie Office software may be used oly i accordace with the accompayig Sage Timberlie Office Ed User Licese Agreemet.

More information

where: T = number of years of cash flow in investment's life n = the year in which the cash flow X n i = IRR = the internal rate of return

where: T = number of years of cash flow in investment's life n = the year in which the cash flow X n i = IRR = the internal rate of return EVALUATING ALTERNATIVE CAPITAL INVESTMENT PROGRAMS By Ke D. Duft, Extesio Ecoomist I the March 98 issue of this publicatio we reviewed the procedure by which a capital ivestmet project was assessed. The

More information

Comparing Credit Card Finance Charges

Comparing Credit Card Finance Charges Comparig Credit Card Fiace Charges Comparig Credit Card Fiace Charges Decidig if a particular credit card is right for you ivolves uderstadig what it costs ad what it offers you i retur. To determie how

More information

Computershare Investment Plan. Best Buy Co., Inc. Common Stock

Computershare Investment Plan. Best Buy Co., Inc. Common Stock Computershare Ivestmet Pla A Direct Stock Purchase ad Divided Reivestmet Pla for Best Buy Co., Ic. Commo Stock Best Buy Co., Ic. is listed o the New York Stock Exchage (Tradig Symbol BBY, CUSIP 086516101)

More information

CHAPTER 3 DIGITAL CODING OF SIGNALS

CHAPTER 3 DIGITAL CODING OF SIGNALS CHAPTER 3 DIGITAL CODING OF SIGNALS Computers are ofte used to automate the recordig of measuremets. The trasducers ad sigal coditioig circuits produce a voltage sigal that is proportioal to a quatity

More information

Annuities Under Random Rates of Interest II By Abraham Zaks. Technion I.I.T. Haifa ISRAEL and Haifa University Haifa ISRAEL.

Annuities Under Random Rates of Interest II By Abraham Zaks. Technion I.I.T. Haifa ISRAEL and Haifa University Haifa ISRAEL. Auities Uder Radom Rates of Iterest II By Abraham Zas Techio I.I.T. Haifa ISRAEL ad Haifa Uiversity Haifa ISRAEL Departmet of Mathematics, Techio - Israel Istitute of Techology, 3000, Haifa, Israel I memory

More information

Rainbow options. A rainbow is an option on a basket that pays in its most common form, a nonequally

Rainbow options. A rainbow is an option on a basket that pays in its most common form, a nonequally Raibow optios INRODUCION A raibow is a optio o a basket that pays i its most commo form, a oequally weighted average of the assets of the basket accordig to their performace. he umber of assets is called

More information

Understanding Financial Management: A Practical Guide Guideline Answers to the Concept Check Questions

Understanding Financial Management: A Practical Guide Guideline Answers to the Concept Check Questions Udestadig Fiacial Maagemet: A Pactical Guide Guidelie Aswes to the Cocept Check Questios Chapte 4 The Time Value of Moey Cocept Check 4.. What is the meaig of the tems isk-etu tadeoff ad time value of

More information

TIAA-CREF Wealth Management. Personalized, objective financial advice for every stage of life

TIAA-CREF Wealth Management. Personalized, objective financial advice for every stage of life TIAA-CREF Wealth Maagemet Persoalized, objective fiacial advice for every stage of life A persoalized team approach for a trusted lifelog relatioship No matter who you are, you ca t be a expert i all aspects

More information

France caters to innovative companies and offers the best research tax credit in Europe

France caters to innovative companies and offers the best research tax credit in Europe 1/5 The Frech Govermet has three objectives : > improve Frace s fiscal competitiveess > cosolidate R&D activities > make Frace a attractive coutry for iovatio Tax icetives have become a key elemet of public

More information

Definition. A variable X that takes on values X 1, X 2, X 3,...X k with respective frequencies f 1, f 2, f 3,...f k has mean

Definition. A variable X that takes on values X 1, X 2, X 3,...X k with respective frequencies f 1, f 2, f 3,...f k has mean 1 Social Studies 201 October 13, 2004 Note: The examples i these otes may be differet tha used i class. However, the examples are similar ad the methods used are idetical to what was preseted i class.

More information

PAYG instalments how to complete your activity statement

PAYG instalments how to complete your activity statement Istructios for busiesses ad ivestors PAYG istalmets how to complete your activity statemet For more iformatio visit www.ato.gov.au NAT 7393-11.2012 Our commitmet to you We are committed to providig you

More information

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES Read Sectio 1.5 (pages 5 9) Overview I Sectio 1.5 we lear to work with summatio otatio ad formulas. We will also itroduce a brief overview of sequeces,

More information

Amendments to employer debt Regulations

Amendments to employer debt Regulations March 2008 Pesios Legal Alert Amedmets to employer debt Regulatios The Govermet has at last issued Regulatios which will amed the law as to employer debts uder s75 Pesios Act 1995. The amedig Regulatios

More information

Engineering Data Management

Engineering Data Management BaaERP 5.0c Maufacturig Egieerig Data Maagemet Module Procedure UP128A US Documetiformatio Documet Documet code : UP128A US Documet group : User Documetatio Documet title : Egieerig Data Maagemet Applicatio/Package

More information

Valuing Firms in Distress

Valuing Firms in Distress Valuig Firms i Distress Aswath Damodara http://www.damodara.com Aswath Damodara 1 The Goig Cocer Assumptio Traditioal valuatio techiques are built o the assumptio of a goig cocer, I.e., a firm that has

More information

Simple Annuities Present Value.

Simple Annuities Present Value. Simple Auities Preset Value. OBJECTIVES (i) To uderstad the uderlyig priciple of a preset value auity. (ii) To use a CASIO CFX-9850GB PLUS to efficietly compute values associated with preset value auities.

More information

CHAPTER 4: NET PRESENT VALUE

CHAPTER 4: NET PRESENT VALUE EMBA 807 Corporate Fiace Dr. Rodey Boehe CHAPTER 4: NET PRESENT VALUE (Assiged probles are, 2, 7, 8,, 6, 23, 25, 28, 29, 3, 33, 36, 4, 42, 46, 50, ad 52) The title of this chapter ay be Net Preset Value,

More information

APPLICATION FORM. Henderson Investment Funds. Valid from 11 May 2015. SECTION 1 About yourself

APPLICATION FORM. Henderson Investment Funds. Valid from 11 May 2015. SECTION 1 About yourself Hederso Ivestmet Fuds APPLICATION FORM Valid from 11 May 2015 You should use this form if you wish to ivest i the Hederso Ivestmet Fuds rage. Further iformatio is cotaied i the Prospectus, the Additioal

More information

PFF2 2015/16. Assessment of Financial Circumstances For parents and partners of students. /SFEngland. /SF_England SFE/PFF2/1516/B

PFF2 2015/16. Assessment of Financial Circumstances For parents and partners of students. /SFEngland. /SF_England SFE/PFF2/1516/B PFF2 2015/16 Assessmet of Fiacial Circumstaces For parets ad parters of studets SFE/PFF2/1516/B /SF_Eglad /SFEglad Who should complete this form? Complete this form if you are: The studet s atural or adoptive

More information

PROPERTY OWNERS INSURANCE POLICY SUMMARY

PROPERTY OWNERS INSURANCE POLICY SUMMARY PROPERTY OWNERS INSURANCE POLICY SUMMARY PROPERTY OWNERS INSURANCE POLICY SUMMARY This documet is a summary of your Policy ad other key iformatio about the isurace cover that you should read. It does ot

More information

Financial. Services Guide. Adviser: Graeme Hood CD, Dip FP, CFP Date of Preparation: 21/11/2005. Head Office Address:

Financial. Services Guide. Adviser: Graeme Hood CD, Dip FP, CFP Date of Preparation: 21/11/2005. Head Office Address: Fiacial Services Guide Adviser: Graeme Hood CD, Dip FP, CFP Date of Preparatio: 21/11/2005 Head Office Address: Fiacial Wisdom Limited (ABN 70 006 646 108) Australia Fiacial Services Licece No. 231138

More information

2 Time Value of Money

2 Time Value of Money 2 Time Value of Moey BASIC CONCEPTS AND FORMULAE 1. Time Value of Moey It meas moey has time value. A rupee today is more valuable tha a rupee a year hece. We use rate of iterest to express the time value

More information

Time Value of Money, NPV and IRR equation solving with the TI-86

Time Value of Money, NPV and IRR equation solving with the TI-86 Time Value of Moey NPV ad IRR Equatio Solvig with the TI-86 (may work with TI-85) (similar process works with TI-83, TI-83 Plus ad may work with TI-82) Time Value of Moey, NPV ad IRR equatio solvig with

More information

Incremental calculation of weighted mean and variance

Incremental calculation of weighted mean and variance Icremetal calculatio of weighted mea ad variace Toy Fich faf@cam.ac.uk dot@dotat.at Uiversity of Cambridge Computig Service February 009 Abstract I these otes I eplai how to derive formulae for umerically

More information

Lesson 17 Pearson s Correlation Coefficient

Lesson 17 Pearson s Correlation Coefficient Outlie Measures of Relatioships Pearso s Correlatio Coefficiet (r) -types of data -scatter plots -measure of directio -measure of stregth Computatio -covariatio of X ad Y -uique variatio i X ad Y -measurig

More information

Learning Objectives. Chapter 2 Pricing of Bonds. Future Value (FV)

Learning Objectives. Chapter 2 Pricing of Bonds. Future Value (FV) Leaig Objectives Chapte 2 Picig of Bods time value of moey Calculate the pice of a bod estimate the expected cash flows detemie the yield to discout Bod pice chages evesely with the yield 2-1 2-2 Leaig

More information

DWS Investment GmbH. DWS Aktien Strategie Deutschland Sales Prospectus including Terms of Contract

DWS Investment GmbH. DWS Aktien Strategie Deutschland Sales Prospectus including Terms of Contract DWS Ivestmet GmbH DWS Aktie Strategie Deutschlad Sales Prospectus icludig Terms of Cotract Jauary 1, 2012 Sales Prospectus ad Terms of Cotract Sales Prospectus Geeral sectio Geeral priciples 1 Maagemet

More information

Audit of Assumptions for the March 2001 Budget. REPORT BY THE COMPTROLLER AND AUDITOR GENERAL HC 304 Session 2000 2001: 7 March 2001

Audit of Assumptions for the March 2001 Budget. REPORT BY THE COMPTROLLER AND AUDITOR GENERAL HC 304 Session 2000 2001: 7 March 2001 Audit of Assumptios for the March 2001 Budget REPORT BY THE COMPTROLLER AND AUDITOR GENERAL HC 304 Sessio 2000 2001: 7 March 2001 Audit of Assumptios for the March 2001 Budget REPORT BY THE COMPTROLLER

More information

Working with numbers

Working with numbers 4 Workig with umbers this chapter covers... This chapter is a practical guide showig you how to carry out the types of basic calculatio that you are likely to ecouter whe workig i accoutig ad fiace. The

More information

How deductible plans work

How deductible plans work Idividual ad Family Plas DEDUCTIBLE PLANS How deductible plas work Deductible plas geerally offer lower mothly premiums i exchage for payig more out of your ow pocket for services covered by your health

More information

Pre-Suit Collection Strategies

Pre-Suit Collection Strategies Pre-Suit Collectio Strategies Writte by Charles PT Phoeix How to Decide Whether to Pursue Collectio Calculatig the Value of Collectio As with ay busiess litigatio, all factors associated with the process

More information

Navigate the Principles of Investing

Navigate the Principles of Investing Wealth Maagemet Educatio Series How ca we help you further? Do you have a questio o what you have just read? Would you like to have a further discussio o this subject? Cotact your Relatioship Maager, or

More information

BaanERP. BaanERP Windows Client Installation Guide

BaanERP. BaanERP Windows Client Installation Guide BaaERP A publicatio of: Baa Developmet B.V. P.O.Box 143 3770 AC Bareveld The Netherlads Prited i the Netherlads Baa Developmet B.V. 1999. All rights reserved. The iformatio i this documet is subject to

More information

About our services and costs

About our services and costs About our services ad costs Cotets Whose products do we offer 2 Ivestmet 2 Isurace 2 Mortgages 2 Which services will we provide you with? 3 Ivestmet 3 Isurace 3 Mortgages 3 What will you have to pay us

More information

There s Wealth in Our Approach.

There s Wealth in Our Approach. Electroic Fud Trasfers/ Automated Clearig House Services There s Wealth i Our Approach. A divisio of RBC Capital Markets, LLC, Member NYSE/FINRA/SIPC. Electroic Fud Trasfers/Automated Clearig House Services

More information

Two people, one policy. Affordable long-term care coverage for both.

Two people, one policy. Affordable long-term care coverage for both. Log-term care rider, available o Natiowide YourLife No-Lapse Guaratee SUL II Feature guide LIFE INSURANCE + LONG-ERM CARE wo people, oe policy. Affordable log-term care coverage for both. NAIONWIDE LIFE

More information

Dilution Example. Chapter 24 Warrants and Convertibles. Warrants. The Difference Between Warrants and Call Options. Warrants

Dilution Example. Chapter 24 Warrants and Convertibles. Warrants. The Difference Between Warrants and Call Options. Warrants Chapter 24 Warrats ad Covertibles Warrats The Differece betee Warrats ad Call Optios Warrat Pricig ad the Black-Scholes Model Covertible Bods The Value of Covertible Bods Reasos for Issuig Warrats ad Covertibles

More information

THE TIME VALUE OF MONEY

THE TIME VALUE OF MONEY QRMC04 9/17/01 4:43 PM Page 51 CHAPTER FOUR THE TIME VALUE OF MONEY 4.1 INTRODUCTION AND FUTURE VALUE The perspective ad the orgaizatio of this chapter differs from that of chapters 2 ad 3 i that topics

More information

Z-TEST / Z-STATISTIC: used to test hypotheses about. µ when the population standard deviation is unknown

Z-TEST / Z-STATISTIC: used to test hypotheses about. µ when the population standard deviation is unknown Z-TEST / Z-STATISTIC: used to test hypotheses about µ whe the populatio stadard deviatio is kow ad populatio distributio is ormal or sample size is large T-TEST / T-STATISTIC: used to test hypotheses about

More information

summary of cover CONTRACT WORKS INSURANCE

summary of cover CONTRACT WORKS INSURANCE 1 SUMMARY OF COVER CONTRACT WORKS summary of cover CONTRACT WORKS INSURANCE This documet details the cover we ca provide for our commercial or church policyholders whe udertakig buildig or reovatio works.

More information

Question 2: How is a loan amortized?

Question 2: How is a loan amortized? Questio 2: How is a loa amortized? Decreasig auities may be used i auto or home loas. I these types of loas, some amout of moey is borrowed. Fixed paymets are made to pay off the loa as well as ay accrued

More information

Unicenter TCPaccess FTP Server

Unicenter TCPaccess FTP Server Uiceter TCPaccess FTP Server Release Summary r6.1 SP2 K02213-2E This documetatio ad related computer software program (hereiafter referred to as the Documetatio ) is for the ed user s iformatioal purposes

More information

Evidence requirements guide June 2016

Evidence requirements guide June 2016 INTERMEDIARIES & INVESTMENT PROFESSIONALS ONLY: NOT FOR PUBLIC DISTRIBUTION Page1of6 Evidece requiremets guide Jue 2016 The followig tables show our stadard documetatio requiremets for evidece. Sectio

More information

How to set up your GMC Online account

How to set up your GMC Online account How to set up your GMC Olie accout Mai title Itroductio GMC Olie is a secure part of our website that allows you to maage your registratio with us. Over 100,000 doctors already use GMC Olie. We wat every

More information

NATIONAL SENIOR CERTIFICATE GRADE 12

NATIONAL SENIOR CERTIFICATE GRADE 12 NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 04 MARKS: 50 TIME: 3 hours This questio paper cosists of 8 pages ad iformatio sheet. Please tur over Mathematics/P DBE/04 NSC Grade Eemplar INSTRUCTIONS

More information

Erik Ottosson & Fredrik Weissenrieder, 1996-03-01 CVA. Cash Value Added - a new method for measuring financial performance.

Erik Ottosson & Fredrik Weissenrieder, 1996-03-01 CVA. Cash Value Added - a new method for measuring financial performance. CVA Cash Value Added - a ew method for measurig fiacial performace Erik Ottosso Strategic Cotroller Sveska Cellulosa Aktiebolaget SCA Box 7827 S-103 97 Stockholm Swede Fredrik Weisserieder Departmet of

More information

Holiday Park Holiday Home Ownership Code of Practice

Holiday Park Holiday Home Ownership Code of Practice The UK trade body for the tourer, motorhome, holiday home ad park home idustries www.thecc.org.uk Holiday Park Holiday Home Owership Code of Practice For the purchase ad sale of ew ad pre-owed Holiday

More information