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财务管理

Chapter4

FinancialPlanningandForecasting

Definitionsaboutbudgetingandpercentofsalesmethod→topredictthefutureassets/liabilitiesaccordingtotherelationshipbetweenthepresentsalesrevenueandassets/liabilities.→DFN(Discretionaryfinancingneeds)/AFN(Additionalfundsneeded).

1.Budget(putthingsinPerspective)isaquantitativeexpressionofaplanofactionthathelpsmanagerscoordinateandimplementtheplan.

(1)comprehensivebudget(全面预算体系):

asetoffinancialstatementandotherschedulesshowingtheexpectedresultsforafutureperiod.

(2)thecomprehensivebudgetisatooltomakeplanningefficientandalsoprovidesameansformonitoringwhetheractivitiesaregoingaccordingtoplan.

Itshouldinclude:

(1)financialbudgets:

Jproformabalancesheet;Jcashbudget;Jproformaincomestatement.

(2)operatingbudgets:

Jproductionschedules;Jpurchasingschedules;Jfixedassetacquisition(capitalbudgeting).

2.Organizationofbudget:

(1)continuousbudget(延续或滚动预算):

Jabudgetforamonth(oraquarter)willbeaddedasoneoftheseperiodsgoesby.Thustherewouldbea12monthbudgetatalltimes.

Jbypreparingcontinuousbudgets,managersarethenkeptawareoftheneedsforthenext12months,regardlessofthetimeoftheyear.

(2)staticbudget(静态预算)(preparedforonlyonlevelofvolumewhichistheorganization’sgoal):

Jthestaticbudgetisnotalteredafteritisdrawnup,regardlessofchangesinvolume,saleprices,orcosts.

Jthefocusofthestaticbudgetisfutureplanning.

(3)flexiblebudget(弹性预算)(asetofbudgetscoveringarangeofvolumeratherthanasinglevolumelevel.Itisalsocalledavariancebudget):

Jtheflexiblebudgetshowshowrevenuesandcostsvarywithvolumethroughoutthebudgetrange;Jthefocusoftheflexiblebudgetisevaluatingpastperformance.

3.After-taxcashflow=Earningsaftertaxes+depreciationexpense+deferredtaxes

4.Percentofsalesmethod:

permitsacompanytoforecasttheamountoffinancingitwillneedforagivenincreaseinsales.

(1)***/currentsales=***%

(2)projectedsales×***%=$$$

(3)projectedsales×(netincome/sales)×[1-(cashdividends/netincome)]=&&&

(4)discretionaryfinancingneeded=projectedtotalassets–projectedtotalliabilities–projectedowner’sequity

5.DFN(Discretionaryfinancingneeds):

fundsthatafirmmustraiseexternallythroughborrowingorbysellingnewcommonorpreferredstock.

EFN(Externalfinancingneeds):

Allthefirm’sneedsforfinancingbeyondthefundsprovidedinternallythroughtheretentionofearnings,thusEFN=Predictedchangeintotalassets–predictedchangeinretainedearnings.

Chapter5

TheTimeValueofMoney

FVn=PV0(1+i)n=PV0FVIFi,n

Compoundedinterest→

PV0=FVn[1/(1+i)n]=FVnPVIFi.n

FVAn=PMT×FVIFAi,n

Ordinaryannuity

PV=PMT×PVIFAi,n

Annuitiesdue=Annuities×(1+i)

Annuities

Delayedannuity(unevencashflowstreams):

先把不均衡的年金加成均等,用普通年金方法算完后,减去多加(加上多减)的钱数的现值。

PV=R/I→perpetuity

PerpetuityandGrowingperpetuity

PV=R/i-g→Growingperpetuity,growthrate=g

 

Chapter6

AnalysisofRiskandReturn

Theriskandreturnofonecertainasset→...oftwoassets→...ofnassets→...ofarisk-free

assetandnriskyassets→therelationshipbetweenariskyassetandnriskyassets→howto

decidethepriceofariskyasset

1.concepts:

(1)holdingperiodreturn→R=[Dt+(Pt-Pt-1)]/Pt-1

↓↓↓

Dividendendingbeginning

priceprice

(2)expectedreturn:

r=E(r)多个资产时加权平均

(3)σ=标准差=standarddeviationσAB=Cov(RA,RB)=E[(RAt-E(RA))(RBt-E(RB))]

σp2=XA2σA2+XB2σB2+2(XAσA)(XBσB)ρABp=portfolio

(4)z=[r-E(r)]/σ即标准化成标准正态分布,z是横轴上的值

(5)v=σ/E(r)变异系数用于比较两种不同规模的投资的风险的时候

(6)ρ相关系数ρAB=Corr(RA,RB)=σAB/σAσB

(7)requiredreturn=risk-freereturn+riskpremium=realrateofreturn+expectedinflationpremium

2.theriskandreturnoftwoassets(graph)

3.Theriskandreturnofnassets&arisk-freeassetandnriskyassets(graph)

efficientfrontier

capitalmarketline(CML)

optimalriskyportfolio(CML与efficientfrontier的切点)

4.therelationshipbetweenariskyassetandnriskyassets

(1)βj=Covariancej,m/variancem=ρjmσjσm/σm2

(2)varianceandstandarddeviationinaportfolioofmanyassets:

thevarianceoftheindividualassetscompletelyvanishasthenumberofassetsbecomeslarge.However,thecovariancetermsremain.σp2=σ*(σ*=allcovariancesinthetable)

(3)characteristicline:

y=ax+ba=β

 

5.howtodecidethepriceofariskyasset

CapitalAssetPricingModel(CAPM):

Ri=RF+βI(RM–RF)

Expectedreturnonasecurity=risk-freerate+betaofthesecurity×marketriskpremium

MajorproblemsofCAPM:

1.Estimatingexpectedfuturemarketreturns

2.Determininganappropriaterf

3.Determiningthebestestimateofβ

4.Investorsdon’totallyignoreunsystematicrisk

5.Betasarefrequentlyunstableovertime

6.Requiredreturnsaredeterminedbymacroeconomicfactors

6.名词解释:

1)CML:

capitalmarketline(graph)

2)SML(securitymarketline):

therelationshipbetweensystematicriskandrequiredratesofreturnforindividualsecurities.(graph)

3)CAPM(Capitalassetspricingmodel)

4)CL(Characteristicline)(graph)

 

Chapter7&8

ValuationofSecurities

Definitionsofvalue→characteristicsofbondspreferredstockandcommonstock→bondvaluation

1.Definitionsofvalue:

liquidationvalueVSgoing-concernvalue(清算价值与持续经营价值)

BookvalueVSmarketvalue(账面价值与市场价值)

bookvalue=accounting/historicvalue

marketvalue=normallyrelatedtoexpectedfuturecashflow

*marketvaluedoesnotnecessarilybearanyrelationshiptobookvalue

*marketvaluemaybeeithergreaterorlessthanbookvalue

Intrinsicvalue/economicvalueVSMarketvalue(内在价值/经济价值与市场价值)

2.Bonds:

1)Differentkindsofbondspurediscountbond(无息债券)

level-couponbonds(普通债券)

consols(perpetualbonds)(永续债券)

2)Featuresofbondsindenture(合同约束)

callfeatureandbondrefunding(赎回条款)

sinkingfund(偿债基金条款)

convertible(可转换性)

warrant(认股权证)

bondratings(债券信用评级)

Preferredstock:

featuresofpreferredstocksellingpriceandparvalue(面值与销售价格)

Jadjustablerates(可调整收益率)

Jcumulativedividends(可累积)现在没钱,以后会补齐。

Jparticipation(参与盈余分配)

Jmaturity(到期日)

Jcallfeature(可赎回条款)

Jvotingrights(投票权)无投票权

Jpreferredstock’sclaimonassetsandincome(对公司收益和资产的优先索取权)

Jconvertibility(可转换性)

Commonstock:

featuresofcommonstockJresidualclaimonincomeandassets(剩余索取权)

Jpreemptiverights(优先认股权)

Jlimitedliability(有限责任)

Jtakeover(接管)或代理proxy

Jcloselyheldcorporation/privatelyowned(紧密持股公司)

Jpubliclyownedcorporation/tobelisted(上市公司/公众公司)

3.Bondvaluation:

PV=F/(1+i)n→purediscountbonds

PV=CF/i→perpetualbonds(consols)

PV=I×PVIFAi,n+M×PVIFi,n→level-couponbonds

Chapter9

CapitalBudgetingandCashFlowAnalysis

Principlesofestimatingcashflows→howtodealwithtaxes,depreciation,andworkingcapital.

1.Principlesofestimatingcashflows:

1)onanincrementalbasis

→ifcashflowstillexistwhenprojectdoesnotexist,thenexcludeit.

2)onanaftertaxbasis

3)includeindirecteffects

→ifnewproductcausesexistingcustomerstodemandlessofcurrentproducts,weneedtorecognizethat.

4)excludesunkcosts

→sunkcostsareirrelevant

5)opportunitycostsofresources

 

2.EstimatingtheNINV:

step1costplusinstallationandshipping

plus

step2increasesinnetworkingcapital

minus

step3netproceedsfromsaleofexistingassets

plusorminus(高于账面价值时算正outflow)

step4taxesassociatedwiththeabovesale

equals

NINV

Tax:

savingsbeforetaxes(profitcolumn)×taxrate=$$$

netcashflowaftertaxes=savingsbeforetaxes(cashflowcolumn)-$$$

Depreciation:

increaseddepreciationexpense(profitcolumn),nothingaddedtothecashflowcolumn.

Recoveryofnetworkingcapital:

thetotalamountofaccumulatednetworkingcapitalisusuallyrecoveredattheendofthelifeoftheproject.

Theresultingdecreaseinnetworkingcapitalrepresentsanincreaseinnetcashflow.

Therearegenerallynotaxconsiderationsassociatedwiththerecoveryofnetworkingcapital.

 

Chapter10&11

CapitalBudgeting:

DecisionCriteria&Risk

Lifeoftheproject→(EAA)

NPVusedwhentwoprojects

IRRNPV与IRR不一致时→”NPVistheking!

”aremutuallyexclusive.

PI

PB

Differentinitialoutlays→IIRR/NPV(same)

MultipleIRRs(现金流有正有负)→MIRR→usedtosolvetheinternalproblemofaproject.

 

1.Concepts:

1)NPV(netpresentvalue):

—IO(NINV)

NPV≥0accept

NPV<0reject

2)PI(profitabilityindex):

PI=

÷IO(NINV)

PI≥1accept

PI<1reject

3)IRR(internalrateofreturn):

—IO=0求出IRR

IRR≥requiredrateofreturn(贴现率)accept

IRR<requiredrateofreturnreject

4)PB(paybackperiod):

Thepaybackperiodisthenumberofyearsneededtorecovertheinitialcashoutlay.

2.Lifeoftheproject:

A与B两项投资,持续时间不同。

步骤1,算出两项投资的NPV

2,利用NPV=EAA×PVIFAi,n求出两项投资的EAA

3.NPV与IRR不一致的时候(图):

 

4.Differentinitialoutlays

Date0

Date1

NPV(25%)

IRR

A

-10m

40m

22m

300%

B

-25m

65m

27m

160%

-15m

25m

IncrementalIRR:

(-15m+25m)/(1+IIRR)=0求出IIRR=66.67%>25%accept

NPVofincrementalcashflows:

(-15m+25m)/(1+25%)=5m>0accept

AcceptprojectB.

 

5.现金流有正有负时:

MIRR

PVout=PVin把负的现金流都贴到期初,把正的现金流都贴到期末,再把贴到期末的现金流除以(1+MIRR)n,贴回期初,令它与PVout相等,求MIRR。

公式:

 

Chapter12

TheCostofCapital

Costofdebt→valueofbonds×(1-t)

 

Preferredstock→发行费用(价格)

f=WACC→

Retainedearning

→Ri=Rf+β(Rm–Rf)

Newissuedstocks

1.CalculatingKa:

Ka=We(Ke)+Wd(Ki)+Wp(Kp)

1)Ki(after-taxcostofdebt):

利用P=It×PVIFAKd,n+M×PVIFKd,n求出Kd,再利用

Ki=Kd×(1-t)求出Ki

或者

Ki=I(1-t)/B(1-F)

↓↓↓↓

Interesttaxrateparvalueflotation(floatingfee)

ofthebond

↓↓

实际付出的钱公司实际拿到的钱

2)K

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