Business Functions Library for Excel

    1. Introduction
      1. Introduction
      2. DYear
      3. DMonth
      4. DateYMD
      5. DateSeqNum
      6. IsSeqDate
      7. DayName
      8. MonthName
      9. IsLeap
      10. DaysInMonth
      11. IsAnniversary
      12. WeekNumber
      13. WeekNumberToDate
      14. MonthStart
      15. MonthEnd
      16. NumPers
      17. MostRecent
      18. MostImminent
      19. TimeBaseLengths
      20. AnnSeq
      21. CreateTimeBase
      1. Introduction
      2. DiffY
      3. DiffM
      4. DiffD
      5. DiffP
      1. Introduction
      2. DpY
      3. DpM
      4. DpD
      5. DpP
      6. PrevDateSeq
      7. NextDateSeq
      8. PrevDateList
      9. NextDateList
      10. NextDateCombine
      11. DatePer
      12. EDateBF
      13. DateSeq
      14. DateSeqCombine
      1. Introduction
      2. TpY
      3. TpM
      4. TpD
      5. Occurs
    1. Introduction
      1. Introduction
      2. DpYBD
      3. DpMBD
      4. DpDBD
      5. NextBD
      6. PrevBD
      7. NextDateSeqBD
      8. PrevDateSeqBD
      9. IsBD
      10. NetWorkDaysBF
      11. NextDateListBD
      12. PrevDateListBD
      1. Introduction
      2. Holiday
      3. DescribeHol
      4. WhatHol
      5. IsHol
      6. IsWE
      7. WesternEaster
      8. CreateDate
    1. Introduction
      1. Introduction
      2. MkPmtsSeq
      3. MkPmts
      4. MkPmtsGrow
      5. MkPmtsFcst
      6. MkPmtsSF
      7. MkPmtsLim
      8. MkPmtsLag
      9. MkPmtsLagProf
      10. RePhasePmts
      11. TotPmts
      12. TotPmtsSF
      13. SumBetween
      14. DoBetween
      15. MatchPmts
      16. CarryNeg
      17. CarryPos
      18. MkPmtsX
      19. MkPmtsLagX
      20. MkPmtsIdx
      21. MkPmtsCats
      22. MkPmtsGroup
      1. Introduction
      2. MkPmtsPer
      3. MkPmtsPerGrow
      4. MkPmtsPerFcst
      5. MkPmtsIdxPer
      1. Introduction
      2. MkPmtsGrowMkt
      3. MkPmtsFcstMkt
      4. MkPmtsPerGrowMkt
      5. MkPmtsPerFcstMkt
    1. Introduction
      1. Introduction
      2. GSpread
      3. UniSpread
      4. UniSpreadGrow
      5. SCurve
      6. SCurveGrow
      7. DistSpread
      8. FStepSpread
      9. TStepSpread
      10. MkPmtsWeighted
      11. SCumCurve
      1. Introduction
      2. UniSpreadPer
      3. SCurvePer
      4. SCurveGrowPer
      5. UniSpreadGrowPer
      1. Introduction
      2. WeightSpread
      3. FWeightSpread
      4. TWeightSpread
      1. Introduction
      2. UniSpreadH
      3. SCurveH
      4. WeightSpreadH
      5. FWeightSpreadH
      6. TWeightSpreadH
      7. DistSpreadH
      8. GSpreadH
      9. UniSpreadAdj
      10. SCurveAdj
      11. WeightSpreadAdj
      12. FWeightSpreadAdj
      13. TWeightSpreadAdj
      14. DistSpreadAdj
      15. GSpreadAdj
    1. Introduction
      1. Introduction
      2. Con
      3. ConGrow
      4. AnnGrow
      5. RePhaseCon
      6. AnnRate
      7. ConSF
      8. ConIdx
      9. ConEvent
      1. Introduction
      2. ConPer
      3. AnnGrowPer
      4. ConGrowPer
      1. Introduction
      2. ConGrowMkt
      3. ConFcstMkt
      4. ConFcstGrowMkt
      1. Introduction
      2. ConRevGrow2
      3. ConRev
      4. ConRevGrow
      5. ConRevFcst
    1. Introduction
      1. Introduction
      2. FStep
      3. FStepGrow
      4. FStepGrowX
      5. FStepThenGrow
      6. FStepFcst
      7. FStepGrown
      8. FStepSF
      9. FStepCombine
      10. MultiFStep
      1. Introduction
      2. TStep
      3. TStepGrow
      4. TStepGrowX
      5. TStepThenGrow
      6. TStepFcst
      7. TStepGrown
      8. TStepSF
      9. TStepCombine
      10. MultiTStep
      1. Introduction
      2. FStepGrowMkt
      3. FStepFcstMkt
      4. TStepGrowMkt
      5. TStepFcstMkt
      1. Introduction
      2. FStepRev
      3. TStepRev
      4. FStepRevGrow
      5. FStepRevFcst
      6. TStepRevGrow
      7. TStepRevFcst
      8. FStepThenGrowRev
      9. TStepThenGrowRev
    1. Introduction
      1. Introduction
      2. FittedRate
      3. Ramp
      1. Introduction
      2. InterpedLevel
      3. FittedLevel
    1. Introduction
      1. Introduction
      2. Bal
      3. Level
      4. FLevels
      5. TLevels
      6. FLevelsGrow
      7. TLevelsGrow
      8. FLevelsFcst
      9. TLevelsFcst
      10. FLevelsCombine
      11. FLevelsThenGrow
      12. TLevelsThenGrow
      1. Introduction
      2. FLevelsGrowMkt
      3. TLevelsGrowMkt
      4. FLevelsFcstMkt
      5. TLevelsFcstMkt
      1. Introduction
      2. Grow
      3. GrowFromTo
      4. FGrowStep
      5. TGrowStep
      6. FGrowStepMkt
      7. TGrowStepMkt
      8. GrowMkt
      9. GrowLin
      1. Introduction
      2. Fcst
      3. FcstGrow
      4. FcstCollar
      5. SumFcst
      6. FFcstStep
      7. TFcstStep
      8. IdxFromTo
      1. Introduction
      2. FcstT
      3. TFcstT
    1. Introduction
      1. Introduction
      2. ALevel
      3. FALevels
      4. TALevels
      5. FALevelsGrow
      6. TALevelsGrow
      7. FALevelsFcst
      8. TALevelsFcst
      9. FALevelsThenGrow
      10. TALevelsThenGrow
      11. ALevelGrow
      1. Introduction
      2. FALevelsGrowMkt
      3. TALevelsGrowMkt
      4. FALevelsFcstMkt
      5. TALevelsFcstMkt
      1. Introduction
      2. AGrow
    1. Introduction
      1. Introduction
      2. PVCon
      3. PVAnnGrow
      4. PVConGrow
      5. PVConQ
      1. Introduction
      2. PVTStep
      3. PVTStepQ
      4. PVTStepIC
      5. PVTStepICQ
      6. PVFStep
      7. PVFStepIC
      8. PVFStepQ
      9. PVFStepICQ
      1. Introduction
      2. PVMkPmtsSF
      3. PVMkPmts
      1. Introduction
      2. PVGSpread
      3. PVUniSpread
      4. PVSCurve
      5. PVSCurveGrow
      6. PVDistSpread
      7. PVFStepSpread
      8. PVTStepSpread
      9. PVMkPmtsWeighted
      10. PVSCumCurve
    1. Introduction
      1. Introduction
      2. SimpleToSimple
      3. SimpleToAER
      4. SimpleToCont
      5. SimpleToDF
      6. AERToSimple
      7. AERToCont
      8. AERToDF
      9. ContToSimple
      10. ContToAER
      11. ContToDF
      12. DFToSimple
      13. DFToAER
      14. DFToCont
      1. Introduction
      2. SimpleToSimpleX
      3. SimpleToAERX
      4. SimpleToContX
      5. SimpleToDFX
      6. AERToSimpleX
      7. ContToSimpleX
      8. DFToSimpleX
      9. RateConvert
      1. Introduction
      2. FVM
      3. PVM
      4. PmtM
      5. TermM
      6. IntRateM
      7. PVEGAnn
      8. PVEGAnnM
      9. PVEGPerAnn
      10. PVEGPerp
      11. PVEGPerpM
      12. PVEGPerPerp
      13. SumEGAnn
      14. SumEGAnnM
      15. SumEGAnnCont
      16. SumLGAnn
      17. SumLGAnnM
      18. SumLGAnnCont
      1. Introduction
      2. PVBF
      3. PMTBF
      4. RateBF
      1. Introduction
      2. APRToQuoted
      3. QuotedToAPR
    1. Introduction
      1. Introduction
      2. PVOne
      3. FPVOne
      4. TPVOne
      5. PVOneQ
      1. Introduction
      2. PVA
      3. IRRA
      4. PayBackA
      5. PayBackDiscA
      6. DurationA
      7. AvLifeA
      1. Introduction
      2. PVE
      3. IRRE
      4. PaybackE
      5. PayBackDiscE
      6. DurationE
      7. AvLifeE
      1. Introduction
      2. PVT
      3. IRRT
      4. PayBackT
      5. PayBackDiscT
      6. DurationT
      7. AvLifeT
      8. PVTIC
      9. IRRTIC
      10. PVTX
      11. IRRTX
      12. PVTCX
      13. IRRTCX
      14. PVTR
      15. IRRTR
      1. Introduction
      2. NPVM
      3. IRRM
      4. CorrectionM
      5. CorrectionCont
      6. CorrectionDC
      7. DurationM
      8. AvLifeM
      9. EffTimeM
    1. Introduction
      1. Introduction
      2. Depreciate
      3. DepreciatedValue
      4. DepPoolWIP
      5. DepPoolRatio
      6. DepPool
      7. DepreciatePer
      8. DepreciateGrowPer
      9. DepreciateFcstPer
      10. DepreciateIdxPer
      11. LIFOPrice
      12. LIFOCalc
      1. Introduction
      2. FAvRate
      3. TAvRate
      4. FAvRateTD
      5. TAvRateTD
    1. Introduction
      1. Introduction
      2. LinReg
      3. BestPoly
      4. SignChanges
      5. RSqrdPoly
      6. PolyEqn
      7. CalcPoly
      8. PolyReg
    1. Introduction
      1. Introduction
      2. LookupNum
      3. LookupN
      4. SeekNum
      5. PickNum
      6. SortPick
      7. LookUpNum2D
      8. PickMatrix
      9. LookupNIndex
      10. Seek
      11. SeekList
      12. SortNum
      13. FindIf
      1. Introduction
      2. DoBetweenX
      3. SumCat
      4. SumCats
      5. SumPos
      6. SumNeg
      7. SumDiv
      8. SumBounds
      9. SumSubRange
      10. SumCombine
      11. SelCats
      1. Introduction
      2. Coordinates
      3. WorkSheetName
      4. RefPlus
      5. GetRef
      1. Introduction
      2. MinBetween
      3. MaxBetween
      4. MeanNZ
      5. WeightAv
      1. Introduction
      2. RangeDir
      1. Introduction
      2. SortText
      3. ApplyToList
      4. CombineLists
      5. TransposeNum
      6. Unique
      1. Introduction
      2. Interp
      3. Interpolate
      4. InterpDate
      5. InterpolateDate
      6. Intersection
    1. Introduction
      1. Introduction
      2. Distribution
      3. PartialDependency
      4. DistCumulative
      5. DistUniform
      6. DistTriangular
      7. DistDoubleTri
      8. DistNormal
      9. DistLogNormal
      10. RandNum
      11. NRandom
      12. PickRandom
      13. DescribeDistType
      14. CumProb
    1. Introduction
      1. Introduction
      2. RentGrow
      3. RentFcst
      1. Introduction
      2. FStepRent
      3. FStepRentGrow
      4. FStepRentFcst
      5. FStepRentFcstCollar
      1. Introduction
      2. TStepRent
      3. TStepRentGrow
      4. TStepRentFcst
      5. TStepRentGrowCollar
      6. TStepRentFcstCollar
      1. Introduction
      2. RentFcstR
      3. RentGrowR
      4. FStepRentGrowR
      5. FStepRentFcstR
      6. TStepRentGrowR
      7. TStepRentFcstR
      8. TStepRentGrowSFR
      9. FStepRentGrowSFR
      10. TStepRentFcstSFR
      11. FStepRentFcstSFR
      1. Introduction
      2. CapValue
      3. EqYield
      4. CapValueG
      5. EqYieldG
      6. CapValueGD
      7. EqYieldGD
      8. NomToTrue
      9. TrueToNom
      10. YPP
      11. YPPDef
      12. YPA
      13. YPADef
      14. CapValueGrowGD
      15. CapValueFcstGD
      16. EqYieldGrowGD
      17. EqYieldFcstGD
      1. Introduction
      2. CapValueDCF
      3. EqYieldDCF
      4. CapValueDCFG
      5. EqYieldDCFG
      6. CapValueDCFGD
      7. EqYieldDCFGD
      8. NomToTrueDCF
      9. TrueToNomDCF
      10. YPADefDCF
      11. YPPDefDCF
      12. TheorYield
      13. ImpGrowth
      14. ImpDiscRate
      15. PVRent
      16. TWRR
      1. Introduction
      2. PVRentGrow
      3. PVRentFcst
      4. PVTStepRent
      5. PVTStepRentGrow
      6. PVTStepRentFcst
      7. PVTStepRentGrowR
      8. PVTStepRentFcstR
      9. PVTStepRentGrowIC
      10. PVTStepRentGrowRIC
      11. PVTStepIdxRentGrowR
      12. PVTStepIdxRentFcstR
      1. Introduction
      2. TStepGTurnRentGrow
      3. TStepGTurnRentGrowR
      1. Introduction
      2. IdxRentGrowR
      3. IdxRentFcstR
      4. IdxRentGrowMktR
      5. IdxRentFcstMktR
      6. TStepIdxRentGrowR
      7. TStepIdxRentFcstR
      1. Introduction
      2. LetCostR
      3. LetCostRQ
      4. LeasingFeeGrowR
      5. FServChargeR
      6. ServChargeGrowR
      7. ServChargeFcstR
      8. FServChargeGrowR
      9. FVacServChargeR
      10. VacServChargeGrowR
      11. VacServChargeFcstR
      12. LeasingFeeFcstR
      1. Introduction
      2. UKRatesGrow
      3. UKRatesFcst
      4. UKRatesGrowR
      5. UKRatesFcstR
      6. UKEmptyRatesFcstR
      7. UKEmptyRatesGrowR
      1. Introduction
      2. LeaseEnd
      3. ReletOccurs
      4. RentDateInfo
      5. RentEventOccurs
      6. RentEvent
      7. LastReview
      8. NextReview
      9. LastReviewR
      10. NextReviewR
      11. LeaseInfo
      12. Occupancy
      13. LeaseDates
    1. Introduction
      1. Introduction
      2. Interest
      3. FInterest
      4. TInterest
      5. TotInterestSF
      6. InterestX
      7. PVFInterest
      8. PVInterestX
      9. PVInterest
      1. Introduction
      2. ZeroCoupon
      3. FutureToSpot
      4. SpotToSpot
      1. Introduction
      2. Loan
      3. LoanX
      4. LoanLin
      5. LoanLinX
      6. Mortgage
      7. MortgageQ
      8. LoanPool
      9. MortgagePool
      10. IdxBondGrow
      11. IdxBondFcst
      1. Introduction
      2. Overdraft
      3. CashAcct
      4. FlexAcct
      5. CurrentAcct
      6. STDAcct
      7. LoanAcct
      8. LoanAcctEM
      1. Introduction
      2. BetaIndex
      3. BetaReturns
      4. DescribeReturn
      5. TotalReturn
      1. Introduction
      2. OptionBS
      3. OptionBinom
      4. OptionMonte
    1. Introduction
      1. Introduction
      2. STOIIP
      1. Introduction
      2. Decline
      3. DeclineRate
      4. DescribeDecline
      5. ProdProf
      6. AbandonDate
      7. StartDecline
    1. Introduction
      1. Introduction
      2. MoneyText
      1. Introduction
      2. GetToken
      3. GetTokens
      4. InString
      5. ExInt
      6. ExFl
      1. Introduction
      2. RegSMatch
      3. RegMatchWhole
      4. RegNMatches
      5. RegReplace
      6. RegSMatches
      7. RegSplit
    1. Introduction
      1. Introduction
      2. StdEq
      3. DiffGaps
      4. AddGaps
      1. Introduction
      2. SRound
      3. SFloor
      4. SCeiling
      5. RoundWeekDay
      6. RoundMonthDay
      7. RoundMD
      8. RoundDateSeq
      9. DateRound
      10. DateFloor
      11. DateCeiling
      12. Disperse
      13. RoundList
      1. Introduction
      2. BFVer
      3. DescribeLoanAcctOutput
      4. DescribeCombineSwitch
      5. DescribePmtsPerYear
      6. DescribeLevelSwitch
      7. DescribeBD
      8. DescribeDayCount
      9. DescribePeriods
      10. DescribeLookup
      11. DescribeRounding
      12. DescribeLoanOutput
      13. DescribeShape
      14. ArgValues
      1. Introduction
      2. Switch
      3. SwitchR
      4. SwitchT
      5. SwitchRT
      6. IfElse
      7. IfElseR
      8. IfElseT
      9. IfElseRT
      1. Introduction
      2. CollarDate
      3. InBetween
      4. Collar
      1. Introduction
      2. Ev
Note: In order to use the spreadsheet examples, you need to download Business Functions
OptionBS (ValuationDate, OptionExpiry, RiskFreeRateAER, CostOfCarryAER, StockPrice, StrikePrice, Volatility, [OptionType], [OptionOutput], [DayCount], [Periods])
Option Value (Black/Scholes)
Calculates the price (or value) of an option using the Black/Scholes method
Key Points

Cost Of Carry

  • If the Cost of Carry rate is the same as the Interest Rate, the formula used is the 1973 Black and Scholes model.
  • If the Cost of Carry Rate is zero, the formula used is the 1976 Black futures option model.
  • If the Cost of Carry Rate is equal to (Interest Rate - Dividend Yield), the model used is the 1973 Merton stock option model with dividend yield. But note that this assumes continuous dividends: if the dividends are irregular, you need to PV-adjust the price.
  • If the Cost of Carry Rate is equal to the Interest Rate (risk free rate) less the Interest rate in the foreign country, this gives the 1983 Garman and Kohlhagen currency option model.

Key Points

Simple and Continuous Rates

  • The basic Black/Scholes formula uses a continuous interest rate ie a rate that can be assumed to compound effectively daily. This function uses a Annual Effective (annually compounded) Interest Rate (AER) for both the Interest Rate and the Cost of Carry Rate because that"s a more familiar concept to many people. The function converts to a continous rate internally and if you run the Trace Facility you can see what continuous rates it has calculated..
  • If your rates are in something other than AER, you can convert them with functions such as SimpleToAER and SimpleToAERX.

Key Points

Generalised Form of Black Scholes

  • This function is the generalised Black-Scholes model, which has a Cost of Carry Rate included.
  • The most important thing to remeber is that if you want basic Black/Scholes, then make the Cost of Carry Rate equal to the interest rate.

Key Points

DayCount and Periods

  • These variables are used to establish the length of time between the Option Expiry and Valuation Dates. The function internally uses the DiffY function.
  • These variables are not used to change the interest rates in any way - that is unnecessary because both rates are on a common basis (AER) and are easily converted internally to continuous rates (using AERToCont).

Tip

To help obtain a value for volatility, you can use the HistoricVol function.

Example
OptionBS.xls  

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