fairdelivery
Compute fair delivery price of underlying asset for BondFuture
,
CommodityFuture
, EquityIndexFuture
, or
FXFuture
instrument
Since R2022a
Description
[
computes the fair delivery price of the underlying asset for a FairDeliveryPrice
,FairFuturePrice
,AccruedInterest
] = fairdelivery(InstrumentObject
,SpotPrice
,DiscountCurve
)BondFuture
, CommodityFuture
,
FXFuture
, or EquityIndexFuture
instrument object.
Examples
Compute Fair Delivery Price of Underlying Bond for BondFuture
Instrument
This example shows the workflow to price a BondFuture
instrument and then use fairdelivery
to compute the fair delivery price for the underlying FixedBond
.
Create ratecurve
Object
Create a ratecurve
object using ratecurve
.
Settle = datetime(2022,3,1);
ZeroTimes = [calmonths(6) calyears([1 2 3 4 5 7 10 20 30])];
ZeroRates = [0.0052 0.0055 0.0061 0.0073 0.0094 0.0119 0.0168 0.0222 0.0293 0.0307]';
ZeroDates = Settle + ZeroTimes;
ZeroCurve = ratecurve("zero",Settle,ZeroDates,ZeroRates,Compounding=2);
Create Underlying FixedBond
Instrument Object
Use fininstrument
to create a FixedBond
instrument object.
FixB = fininstrument("FixedBond",Maturity=datetime(2032,9,1),CouponRate=0.05,Name="fixed_bond_instrument")
FixB = FixedBond with properties: CouponRate: 0.0500 Period: 2 Basis: 0 EndMonthRule: 1 Principal: 100 DaycountAdjustedCashFlow: 0 BusinessDayConvention: "actual" Holidays: NaT IssueDate: NaT FirstCouponDate: NaT LastCouponDate: NaT StartDate: NaT Maturity: 01-Sep-2032 Name: "fixed_bond_instrument"
Create BondFuture
Instrument Object
Use fininstrument
to create a BondFuture
instrument object.
BondFut = fininstrument("BondFuture",Maturity=datetime(2022,9,1),QuotedPrice=86,Bond=FixB,ConversionFactor=1.43,Name="bondfuture_instrument")
BondFut = BondFuture with properties: Maturity: 01-Sep-2022 QuotedPrice: 86 Bond: [1x1 fininstrument.FixedBond] ConversionFactor: 1.4300 Notional: 100000 Name: "bondfuture_instrument"
Create Future
Pricer Object
Use finpricer
to create a Future
pricer object and use the ratecurve
object with the DiscountCurve
name-value argument.
outPricer = finpricer("Future",DiscountCurve=ZeroCurve,SpotPrice=125)
outPricer = Future with properties: DiscountCurve: [1x1 ratecurve] SpotPrice: 125
Price BondFuture
Instrument
Use price
to compute the price and price result for the BondFuture
instrument.
[Price,outPR] = price(outPricer,BondFut)
Price = -151.9270
outPR = priceresult with properties: Results: [1x4 table] PricerData: []
outPR.Results
ans=1×4 table
Price FairDeliveryPrice FairFuturePrice AccruedInterest
_______ _________________ _______________ _______________
-151.93 1.2283e+05 85.893 0
Compute Fair Delivery Price
Use fairdelivery
with the BondFuture
instrument to compute the fair delivery price for the underlying FixedBond
.
SpotPrice = 125; % Clean spot price for $100 face value of underlying bond.
[FairDeliveryPrice,FairFuturePrice,AccruedInterest] = fairdelivery(BondFut,SpotPrice,ZeroCurve)
FairDeliveryPrice = 1.2283e+05
FairFuturePrice = 85.8935
AccruedInterest = 0
Compute Fair Delivery Price for Multiple FXFuture
Instruments
This example shows the workflow to price multiple FXFuture
instruments and then use fairdelivery
to compute the fair delivery price for the FXFuture
instruments.
Create ratecurve
Objects
Create ratecurve
objects using ratecurve
for the foreign and domestic zero curves.
% Define Foreign Zero Curve Settle = datetime(2022, 3, 1); ForeignZeroTimes = [calmonths(6) calyears([1 2 3 4 5 7 10 20 30])]'; ForeignZeroRates = [0.0031 0.0035 0.0047 0.0058 0.0062 0.0093 0.0128 0.0182 0.0223 0.0285]'; ForeignZeroDates = Settle + ForeignZeroTimes; ForeignRC = ratecurve('zero', Settle, ForeignZeroDates, ForeignZeroRates); % Define Domestic Zero Curve DomesticZeroTimes = [calmonths(6) calyears([1 2 3 4 5 7 10 20 30])]'; DomesticZeroRates = [0.0052 0.0055 0.0061 0.0073 0.0094 0.0119 0.0168 0.0222 0.0293 0.0307]'; DomesticZeroDates = Settle + DomesticZeroTimes; DomesticRC = ratecurve('zero', Settle, DomesticZeroDates, DomesticZeroRates);
Create FXFuture
Instrument Object
Use fininstrument
to create a FXFuture
instrument object for three FX Future instruments.
FXFut = fininstrument("FXFuture",Maturity=datetime([2022,9,1 ; 2022,10,1 ; 2022,11,1]),QuotedPrice=[0.78 ; 0.82 ; 0.86],ForeignRateCurve=ForeignRC,Notional=200000,Name=["FXfuture_instrument1";"FXfuture_instrument2";"FXfuture_instrument3"])
FXFut=3×1 FXFuture array with properties:
Maturity
QuotedPrice
ForeignRateCurve
Notional
Name
Create Future
Pricer Object
Use finpricer
to create a Future
pricer object and use the ratecurve
object with the DiscountCurve
name-value argument.
outPricer = finpricer("Future",DiscountCurve=DomesticRC,SpotPrice=0.79)
outPricer = Future with properties: DiscountCurve: [1x1 ratecurve] SpotPrice: 0.7900
Price FXFuture
Instruments
Use price
to compute the prices and price results for the FXFuture
instrument.
[Price,outPR] = price(outPricer,FXFut)
Price = 3×1
104 ×
0.2162
-0.5789
-1.3732
outPR=1×3 priceresult array with properties:
Results
PricerData
outPR.Results
ans=1×4 table
Price FairDeliveryPrice FairFuturePrice AccruedInterest
______ _________________ _______________ _______________
2161.7 1.5817e+05 0.79084 0
ans=1×4 table
Price FairDeliveryPrice FairFuturePrice AccruedInterest
_____ _________________ _______________ _______________
-5789 1.5819e+05 0.79097 0
ans=1×4 table
Price FairDeliveryPrice FairFuturePrice AccruedInterest
______ _________________ _______________ _______________
-13732 1.5822e+05 0.7911 0
Compute Fair Delivery for FXFuture
Instruments
Use fairdelivery
with the FXFuture
instruments to compute the fair delivery price for the FXFuture
instruments.
SpotPrice = 0.79; % Quoted in domestic currency for one unit of foreign currency
[FairDeliveryPrice,FairFuturePrice,AccruedInterest] = fairdelivery(FXFut(1),SpotPrice,DomesticRC)
FairDeliveryPrice = 1.5817e+05
FairFuturePrice = 0.7908
AccruedInterest = 0
[FairDeliveryPrice,FairFuturePrice,AccruedInterest] = fairdelivery(FXFut(2),SpotPrice,DomesticRC)
FairDeliveryPrice = 1.5819e+05
FairFuturePrice = 0.7910
AccruedInterest = 0
[FairDeliveryPrice,FairFuturePrice,AccruedInterest] = fairdelivery(FXFut(3),SpotPrice,DomesticRC)
FairDeliveryPrice = 1.5822e+05
FairFuturePrice = 0.7911
AccruedInterest = 0
Input Arguments
InstrumentObject
— Instrument object
BondFuture
object | CommodityFuture
object | EquityIndexFuture
object | FXFuture
object
Instrument object, specified using a previously created instrument object for one of
the following: BondFuture
, CommodityFuture
,
FXFuture
, or EquityIndexFuture
.
Note
If the InstrumentObject
is a vector of instruments, you must
use fairdelivery
separately with each instrument.
Data Types: object
SpotPrice
— Quoted spot price for underlying asset to be delivered
numeric
Quoted spot price for underlying asset to be delivered, specified as
SpotPrice
and a numeric value that depends on the type of future
instrument being priced:
BondFuture
instrument — Clean spot price quoted for $100 face value of underlying bondCommodityFuture
instrument — Spot price for underlying commodity quantity specified in contractEquityIndexFuture
instrument — Spot equity index valueFXFuture
instrument — Spot price quoted in domestic currency for one unit of foreign currency
Data Types: double
DiscountCurve
— ratecurve
object for discounting cash flows
ratecurve
object
ratecurve
object for discounting cash flows, specified as
DiscountCurve
and the name of a previously created ratecurve
object.
Data Types: object
Output Arguments
FairDeliveryPrice
— Fair delivery price for underlying asset
numeric
Fair delivery price for underlying asset, returned as a numeric. Depending on
InstrumentObject
, the FairDeliveryPrice
output
is defined:
BondFuture
instrument — Fair delivery price (full cash price) for underlying bondCommodityFuture
instrument — Fair delivery price for underlying commodityEquityIndexFuture
instrument — Fair delivery price for equity index futureFXFuture
instrument — Fair delivery price for FX future in domestic currency
FairFuturePrice
— Fair future price (clean price) for $100 face value
numeric
Fair future price (clean price) for 100 face value, returned as a numeric. Depending
on InstrumentObject
, the FairFuturePrice
output
is defined:
BondFuture
instrument — Fair future price (clean price) for $100 face valueCommodityFuture
instrument — Fair future priceEquityIndexFuture
instrument — Fair future priceFXFuture
instrument — Fair future price in domestic currency for one unit of foreign currency
AccruedInterest
— Accrued interest at delivery
numeric
Accrued interest at delivery, returned as a numeric. Depending on
InstrumentObject
, the AccruedInterest
output
is defined:
BondFuture
instrument — Accrued interest at delivery for $100 face valueCommodityFuture
instrument — Accrued interest at deliveryEquityIndexFuture
instrument — Accrued interest at deliveryFXFuture
instrument — Accrued interest at delivery
Version History
Introduced in R2022a
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