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Forward contract on a fixed-rate bond

  1. valueDate refers to the settlement date of the bond forward contract. maturityDate is the delivery (or repurchase) date for the underlying bond (not the bond's maturity date).

  2. Relevant formulas used in the calculations ($P$ refers to a price):

    a. $ P_{CleanFwd}(t) = P_{DirtyFwd}(t) - AI(t=deliveryDate) $ where $ AI $ refers to the accrued interest on the underlying bond.

    b. $ P_{DirtyFwd}(t) = \frac{P_{DirtySpot}(t) - SpotIncome(t)} {discountCurve->discount(t=deliveryDate)} $

    c. $ SpotIncome(t) = \sum_i \left( CF_i \times incomeDiscountCurve->discount(t_i) \right) $ where $ CF_i $ represents the ith bond cash flow (coupon payment) associated with the underlying bond falling between the settlementDate and the deliveryDate. (Note the two different discount curves used in b. and c.)

example:

link examples/Repo.ts valuation of a repo on a fixed-rate bond

todo

Add preconditions and tests

todo

Create switch- if coupon goes to seller is toggled on, don't consider income in the $ P_{DirtyFwd}(t) $ calculation.

todo

Verify this works when the underlying is paper (in which case ignore all AI.)

warning

This class still needs to be rigorously tested

Hierarchy

Implements

Index

Constructors

constructor

Properties

Protected _NPV

_NPV: Real

Protected _additionalResults

_additionalResults: Map<string, any> = new Map<string, any>()

_alwaysForward

_alwaysForward: boolean = false

Protected _businessDayConvention

_businessDayConvention: BusinessDayConvention

_calculated

_calculated: boolean = false

Protected _calendar

_calendar: Calendar

Protected _dayCounter

_dayCounter: DayCounter

Protected _discountCurve

_discountCurve: Handle<YieldTermStructure>

_engine

_engine: PricingEngine

Protected _errorEstimate

_errorEstimate: Real

Protected _fixedCouponBond

_fixedCouponBond: FixedRateBond

_frozen

_frozen: boolean = false

Protected _incomeDiscountCurve

_incomeDiscountCurve: Handle<YieldTermStructure>

_isDisposed

_isDisposed: boolean = false

Protected _maturityDate

_maturityDate: Date

_observables

_observables: Set<Observable> = new Set()

_observers

_observers: Set<Observer> = new Set()

Protected _payoff

_payoff: Payoff

Protected _settlementDays

_settlementDays: Natural

Protected _underlyingIncome

_underlyingIncome: Real

Protected _underlyingSpotValue

_underlyingSpotValue: Real

Protected _valuationDate

_valuationDate: Date

Protected _valueDate

_valueDate: Date

dispose

dispose: () => void

Type declaration

    • (): void
    • Returns void

isDisposed

isDisposed: boolean

notifyObservers

notifyObservers: () => void

Type declaration

    • (): void
    • Returns void

registerObserver

registerObserver: (o: Observer) => void

Type declaration

registerWith

registerWith: (h: Observable) => void

Type declaration

registerWithObservables

registerWithObservables: (o: Observer) => void

Type declaration

unregisterObserver

unregisterObserver: (o: Observer) => void

Type declaration

unregisterWith

unregisterWith: (h: Observable) => Size

Type declaration

unregisterWithAll

unregisterWithAll: () => void

Type declaration

    • (): void
    • Returns void

Methods

NPV

  • returns the net present value of the instrument.

    Returns Real

additionalResults

  • additionalResults(): Map<string, any>
  • returns all additional result returned by the pricing engine.

    Returns Map<string, any>

alwaysForwardNotifications

  • alwaysForwardNotifications(): void
  • This method causes the object to forward all notifications, even when not calculated. The default behavior is to forward the first notification received, and discard the others until recalculated; the rationale is that observers were already notified, and don't need further notification until they recalculate, at which point this object would be recalculated too. After recalculation, this object would again forward the first notification received.

    warning Forwarding all notifications will cause a performance hit, and should be used only when discarding notifications cause an incorrect behavior.

    Returns void

businessDayConvention

calculate

  • calculate(): void

calendar

cleanForwardPrice

  • cleanForwardPrice(): Real
  • Returns Real

dayCounter

deepUpdate

  • deepUpdate(): void

discountCurve

errorEstimate

  • errorEstimate(): Real
  • returns the error estimate on the NPV when available.

    Returns Real

fetchResults

  • When a derived result structure is defined for an instrument, this method should be overridden to read from it. This is mandatory in case a pricing engine is used.

    Parameters

    Returns void

forwardPrice

  • forwardPrice(): Real
  • Returns Real

forwardValue

  • forwardValue(): Real
  • forward value/price of underlying, discounting income/dividends note if this is a bond forward price, is must be a dirty forward price.

    Returns Real

freeze

  • freeze(): void
  • This method constrains the object to return the presently cached results on successive invocations, even if arguments upon which they depend should change.

    Returns void

impliedYield

  • Simple yield calculation based on underlying spot and forward values, taking into account underlying income. When $ t>0 $, call with: underlyingSpotValue=spotValue(t), forwardValue=strikePrice, to get current yield. For a repo, if $ t=0 $, impliedYield should reproduce the spot repo rate. For FRA's, this should reproduce the relevant zero rate at the FRA's _maturityDate;

    Parameters

    Returns InterestRate

incomeDiscountCurve

init

isExpired

  • isExpired(): boolean

performCalculations

  • performCalculations(): void

recalculate

  • recalculate(): void
  • This method force the recalculation of any results which would otherwise be cached. It is not declared as const since it needs to call the non-const notifyObservers method.

    note Explicit invocation of this method is not necessary if the object registered itself as observer with the structures on which such results depend. It is strongly advised to follow this policy when possible.

    Returns void

result

  • result(tag: string): any
  • returns any additional result returned by the pricing engine.

    Parameters

    • tag: string

    Returns any

setPricingEngine

  • set the pricing engine to be used.

    warning calling this method will have no effects in case the performCalculation method was overridden in a derived class.

    Parameters

    Returns void

settlementDate

  • settlementDate(): Date

setupArguments

  • When a derived argument structure is defined for an instrument, this method should be overridden to fill it. This is mandatory in case a pricing engine is used.

    Parameters

    Returns void

setupExpired

  • setupExpired(): void
  • This method must leave the instrument in a consistent state when the expiration condition is met.

    Returns void

spotIncome

  • NPV of bond coupons discounted using incomeDiscountCurve

    Here only coupons between max(evaluation date,settlement date) and maturity date of bond forward contract are considered income.

    Parameters

    Returns Real

spotValue

unfreeze

  • unfreeze(): void
  • This method reverts the effect of the freeze method, thus re-enabling recalculations.

    Returns void

update

  • update(): void

valuationDate

  • valuationDate(): Date
  • returns the date the net present value refers to.

    Returns Date