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Re: [Quantlib-users] Unable to extract CF amount of a Bond
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From: Brian S. <bri...@gm...> - 2021-04-07 08:01:18
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Yes. That I get. But my question is why on Date(31,1,2018) I get rate
0.051194139707830454?
Should not I get 5%, because thats what I fixed manually for Date(29, 1, 2018)?
On Wed, 7 Apr 2021 at 13:26, David Duarte <nh...@gm...> wrote:
>
> Because spot[0] will not give you the fixing date, as the fixing date is 2 business days before the start of the accrual period.
>
> I believe Date(29, 1, 2018) is the fixing date for your first period and spot[0] would be Date(31,1,2018)
>
> On Wed, 7 Apr 2021 at 08:23, Brian Smith <bri...@gm...> wrote:
>>
>> Many thanks!
>>
>> However when I try to extract the Fixing rate for 31-01-2018, I get a
>> different value from 5% which I defined manually.
>>
>> >>> myindex.fixing(spots[0])
>> 0.051194139707830454
>>
>> However I already defined :
>>
>> myindex.addFixing(Date(29, 1, 2018), spotsdate[1], True)
>>
>> Given that next fixing will happen only on July-2018, should I expect
>> myindex.fixing(spots[0]) = 5%?
>>
>> Why am I seeing 0.051194139707830454?
>>
>> Thanks for your time.
>>
>> On Wed, 7 Apr 2021 at 11:42, Ponram Gopal <po...@gm...> wrote:
>> >
>> > The coupon payment amounts are based on the projected Euribor6M reset rates.
>> > 5% was added as the fixing for 29-Jan-2018. The next reset rate was projected based on the zero curve.
>> >
>> > myindex.fixing(Date(27,7,2018))
>> > Out[69]: 0.050644366225002097
>> >
>> > myindex.fixing(Date(27,7,2018))*Actual360().yearFraction(spots[1], spots[2]) * 100
>> > Out[72]: 2.5884898292778846
>> >
>> > The coupon amount of 2.5884898292778846 is based on the projected rate fixing on 27-Jul-2018.
>> >
>> > df1 = curveHandle.discount(Date(31,7,2018))
>> > df2 = curveHandle.discount(Date(31,1,2019))
>> > accrual_factor = Actual360().yearFraction(Date(31,7,2018),Date(31,1,2019))
>> > fwd_rate = ((df1/df2)-1)/accrual_factor
>> >
>> > fwd_rate
>> > Out[104]: 0.050644366225002097
>> >
>> > On Tue, Apr 6, 2021 at 2:17 PM Brian Smith <bri...@gm...> wrote:
>> >>
>> >> Hi all - I would really appreciate if someone points me why I see this
>> >> difference, although small, just to make sure I am not making any
>> >> trivial mistake.
>> >>
>> >> Thanks for your time.
>> >>
>> >> On Mon, 5 Apr 2021 at 15:48, Brian Smith <bri...@gm...> wrote:
>> >> >
>> >> > I see. Thanks for pointing this out.
>> >> >
>> >> > Coming back to the calculation of 2nd coupon, I did manual calculation
>> >> > given that in the yield curve construction, I choose continuous
>> >> > compounding -
>> >> >
>> >> > (math.sqrt(math.exp(0.05)) - 1)*2 * Actual360().yearFraction(spots[1],
>> >> > spots[2]) * 100
>> >> >
>> >> > This gives answer 2.5877678758305054
>> >> >
>> >> > Whereas, QL gives coupon payment as 2.5884898292778846
>> >> >
>> >> > So, I dont see any exact match. Is there any definitive reason for
>> >> > this? Or just due to floating point error?
>> >> >
>> >> > On Mon, 5 Apr 2021 at 15:32, David Duarte <nh...@gm...> wrote:
>> >> > >
>> >> > > Because the fixing date for that coupon is 29.01.2018 and you specified 0 for that fixing...
>> >> > >
>> >> > > Try changing this line, and the first coupon will have the rate you input:;
>> >> > >
>> >> > > myindex.addFixing(Date(29, 1, 2018), 0.0, True)
>> >> > >
>> >> > > On Mon, 5 Apr 2021 at 10:58, Brian Smith <bri...@gm...> wrote:
>> >> > >>
>> >> > >> Thanks.
>> >> > >>
>> >> > >> But still I dont have any clue what was wrong in below code?
>> >> > >>
>> >> > >> [c.amount() for c in FloatingRateBond(0, 100, bond_schedule , myindex,
>> >> > >> Actual360()).cashflows()]
>> >> > >>
>> >> > >> Why am I getting 0 here as first coupon?
>> >> > >>
>> >> > >> On Mon, 5 Apr 2021 at 15:11, David Duarte <nh...@gm...> wrote:
>> >> > >> >
>> >> > >> > The curve you are building takes continuous rates as inputs and uses linear interpolation of zero yields for non node points.
>> >> > >> > You could alternatively specify annually compounded rates as inputs.
>> >> > >> >
>> >> > >> >
>> >> > >> > In any case, you can inspect the cashflow details with ql.as_floating_coupon.
>> >> > >> >
>> >> > >> > Here is an example:
>> >> > >> >
>> >> > >> > bond = FloatingRateBond(0, 100, bond_schedule , myindex, Actual360())
>> >> > >> > interest_cashflows = [*map(as_floating_rate_coupon, bond.cashflows())][:-1]
>> >> > >> > rate = interest_cashflows[1].rate()
>> >> > >> > accrualDays = interest_cashflows[1].accrualDays()
>> >> > >> >
>> >> > >> > print("Floating rate:", rate)
>> >> > >> > print("Cashflow", 100 * rate * accrualDays/360)
>> >> > >> >
>> >> > >> >
>> >> > >> > # Floating rate: 0.050644366225002097
>> >> > >> > # Cashflow 2.588489829277885
>> >> > >> >
>> >> > >> >
>> >> > >> > On Mon, 5 Apr 2021 at 07:02, Brian Smith <bri...@gm...> wrote:
>> >> > >> >>
>> >> > >> >> Thanks again.
>> >> > >> >>
>> >> > >> >> Below is my modified code with 0 replaced by a dummy 0.05. But still I
>> >> > >> >> see 0 for first coupon payment.
>> >> > >> >>
>> >> > >> >> from QuantLib import *
>> >> > >> >>
>> >> > >> >> mydate = Date(31, 1, 2018)
>> >> > >> >>
>> >> > >> >> Settings.instance().evaluationDate = mydate
>> >> > >> >>
>> >> > >> >> spots = [mydate, mydate + Period("6m"), mydate + Period("1y"), mydate
>> >> > >> >> + Period("2y"), mydate + Period("3y")]
>> >> > >> >> spotsdate = [0.05, 0.05, 0.05, 0.05, 0.05]
>> >> > >> >>
>> >> > >> >> curveHandle = YieldTermStructureHandle(ZeroCurve(spots, spotsdate,
>> >> > >> >> Actual360(), Canada(), Linear(), Continuous))
>> >> > >> >>
>> >> > >> >> myindex = Euribor6M(curveHandle)
>> >> > >> >> myindex.addFixing(Date(29, 1, 2018), 0.00)
>> >> > >> >>
>> >> > >> >> bond_schedule = Schedule(mydate, mydate + Period("1y"), Period(6,
>> >> > >> >> Months), Canada(), Unadjusted, Unadjusted, DateGeneration.Forward,
>> >> > >> >> False)
>> >> > >> >>
>> >> > >> >> [c.amount() for c in FloatingRateBond(0, 100, bond_schedule , myindex,
>> >> > >> >> Actual360()).cashflows()]
>> >> > >> >> [c.date() for c in FloatingRateBond(0, 100, bond_schedule , myindex,
>> >> > >> >> Actual360()).cashflows()]
>> >> > >> >>
>> >> > >> >> ### [0.0, 2.5884898292778846, 100.0]
>> >> > >> >> ### [Date(31,7,2018), Date(31,1,2019), Date(31,1,2019)]
>> >> > >> >>
>> >> > >> >> To match the second coupon payment, I used below manual formula to
>> >> > >> >> convert continuous compounding to semi-annual :
>> >> > >> >>
>> >> > >> >> (math.sqrt(math.exp(0.05)) - 1)*2 * Actual360().yearFraction(spots[1],
>> >> > >> >> spots[2]) * 100
>> >> > >> >> ### 2.5877678758305054
>> >> > >> >>
>> >> > >> >> With this, I got a better match, but still not exact. Should I make
>> >> > >> >> any other adjustment?
>> >> > >> >>
>> >> > >> >> Appreciate your pointer.
>> >> > >> >>
>> >> > >> >> Thanks and regards,
>> >> > >> >>
>> >> > >> >> On Mon, 5 Apr 2021 at 04:08, Arkadiy Naumov <ark...@gm...> wrote:
>> >> > >> >> >
>> >> > >> >> > As far as the first zero - that's your extra fixing contributing. Either set it to 0.05 or create a custom index that does not have 2-days settlement, so you don't even have to worry about it.
>> >> > >> >> > For the interest being slightly off - 0.05 is continuously compounded (you set your zero curve this way), but the bond resets to "simple" rate (which is higher, so the numbers make sense at least directionally)
>> >> > >> >> >
>> >> > >> >> > On Sun, Apr 4, 2021 at 4:09 AM Brian Smith <bri...@gm...> wrote:
>> >> > >> >> >>
>> >> > >> >> >> Thanks for your comments.
>> >> > >> >> >>
>> >> > >> >> >> But I still failed to understand the coupon payments at various coupon
>> >> > >> >> >> dates. Below is my full example -
>> >> > >> >> >>
>> >> > >> >> >> from QuantLib import *
>> >> > >> >> >>
>> >> > >> >> >> mydate = Date(31, 1, 2018)
>> >> > >> >> >>
>> >> > >> >> >> Settings.instance().evaluationDate = mydate
>> >> > >> >> >>
>> >> > >> >> >> spots = [mydate, mydate + Period("6m"), mydate + Period("1y"), mydate
>> >> > >> >> >> + Period("2y"), mydate + Period("3y")]
>> >> > >> >> >> spotsdate = [0, 0.05, 0.05, 0.05, 0.05]
>> >> > >> >> >>
>> >> > >> >> >> curveHandle = YieldTermStructureHandle(ZeroCurve(spots, spotsdate,
>> >> > >> >> >> Actual360(), Canada(), Linear(), Continuous))
>> >> > >> >> >>
>> >> > >> >> >> myindex = Euribor6M(curveHandle)
>> >> > >> >> >> myindex.addFixing(Date(29, 1, 2018), 0.00)
>> >> > >> >> >>
>> >> > >> >> >> bond_schedule = Schedule(mydate, mydate + Period("1y"), Period(6,
>> >> > >> >> >> Months), Canada(), Unadjusted, Unadjusted, DateGeneration.Forward,
>> >> > >> >> >> False)
>> >> > >> >> >>
>> >> > >> >> >> [c.amount() for c in FloatingRateBond(0, 100, bond_schedule , myindex,
>> >> > >> >> >> Actual360()).cashflows()]
>> >> > >> >> >> [c.date() for c in FloatingRateBond(0, 100, bond_schedule , myindex,
>> >> > >> >> >> Actual360()).cashflows()]
>> >> > >> >> >>
>> >> > >> >> >> ### [0.0, 2.5884898292778846, 100.0]
>> >> > >> >> >> ### [Date(31,7,2018), Date(31,1,2019), Date(31,1,2019)]
>> >> > >> >> >>
>> >> > >> >> >> So I see on the 1st coupon date, QL is showing coupon payment as 0. Why?
>> >> > >> >> >> And, on the last coupon date, coupon payment is 2.5884898292778846.
>> >> > >> >> >> How this number is calculated? If I manually calculate this, I get
>> >> > >> >> >> just a close match -
>> >> > >> >> >>
>> >> > >> >> >> 5 * Actual360().yearFraction(spots[1], spots[2])
>> >> > >> >> >>
>> >> > >> >> >> ### 2.5555555555555554
>> >> > >> >> >>
>> >> > >> >> >> Am I missing something?
>> >> > >> >> >>
>> >> > >> >> >> On Sun, 4 Apr 2021 at 03:27, Arkadiy Naumov <ark...@gm...> wrote:
>> >> > >> >> >> >
>> >> > >> >> >> > And as to the zeros - I may be wrong, but try explicitly setting the evaluationDate to whatever date you want to be your spot.
>> >> > >> >> >> >
>> >> > >> >> >> > On Sat, Apr 3, 2021 at 5:50 PM Arkadiy Naumov <ark...@gm...> wrote:
>> >> > >> >> >> >>
>> >> > >> >> >> >> Hi Brian,
>> >> > >> >> >> >>
>> >> > >> >> >> >> Without running your code - the reason Jan29th comes into play is because Euribor6M has a two days settlement built in: https://github.com/lballabio/QuantLib/blob/master/ql/indexes/ibor/eurlibor.cpp#L63
>> >> > >> >> >> >>
>> >> > >> >> >> >>
>> >> > >> >> >> >> On Sat, Apr 3, 2021 at 10:22 AM Brian Smith <bri...@gm...> wrote:
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> Hi,
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> I found out that I have to add a dummy quote to get this work. So I added -
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> myindex = Euribor6M(curveHandle)
>> >> > >> >> >> >>> myindex.addFixing(Date(27, 7, 2018), 0.00)
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> bond_schedule = Schedule(mydate,
>> >> > >> >> >> >>> mydate + Period("1y"), Period(6, Months), Canada(), Unadjusted,
>> >> > >> >> >> >>> Unadjusted, DateGeneration.Forward, False)
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> [c.amount() for c in FloatingRateBond(0, 10000, bond_schedule ,
>> >> > >> >> >> >>> myindex, Actual360()).cashflows()]
>> >> > >> >> >> >>> [c.date() for c in FloatingRateBond(0, 10000, bond_schedule , myindex,
>> >> > >> >> >> >>> Actual360()).cashflows()]
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> However with this, I am getting strange result as all the coupon
>> >> > >> >> >> >>> payments are coming as zero.
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> Can you please help me to understand what went wrong in my code?
>> >> > >> >> >> >>>
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> On Sat, 3 Apr 2021 at 14:39, Brian Smith <bri...@gm...> wrote:
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > Hi,
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > I want to extract all the cash flow amounts from a bond as defined below -
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > from QuantLib import *
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > mydate = Date(31, 1, 2018)
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > spots = [mydate, mydate + Period("6m"), mydate + Period("1y"), mydate
>> >> > >> >> >> >>> > + Period("2y"), mydate + Period("3y")]
>> >> > >> >> >> >>> > spotsdate = [0, 0.25, 0.45, 0.65, 0.85]
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > curveHandle = YieldTermStructureHandle(ZeroCurve(spots, spotsdate,
>> >> > >> >> >> >>> > Actual360(), Canada(), Linear(), Continuous))
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > [c.amount() for c in FloatingRateBond(0, 10000, Schedule(mydate,
>> >> > >> >> >> >>> > mydate + Period("1y"), Period(6, Months), Canada(), Unadjusted,
>> >> > >> >> >> >>> > Unadjusted, DateGeneration.Forward, False) , Euribor6M(curveHandle),
>> >> > >> >> >> >>> > Actual360()).cashflows()]
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > However above code failed to achieve any result, but giving out below error -
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > Traceback (most recent call last):File "<stdin>", line 1, in
>> >> > >> >> >> >>> > <module>File "<stdin>", line 1, in <listcomp>File
>> >> > >> >> >> >>> > "/usr/local/lib/python3.9/site-packages/QuantLib/QuantLib.py", line
>> >> > >> >> >> >>> > 9967, in amountreturn _QuantLib.CashFlow_amount(self)RuntimeError:
>> >> > >> >> >> >>> > Missing Euribor6M Actual/360 fixing for January 29th, 2018
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > I wonder where the date January 29th, 2018 comes from and how to resolve this?
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > Any pointer will be highly appreciated.
>> >> > >> >> >> >>> >
>> >> > >> >> >> >>> > Thanks for your time.
>> >> > >> >> >> >>>
>> >> > >> >> >> >>>
>> >> > >> >> >> >>> _______________________________________________
>> >> > >> >> >> >>> QuantLib-users mailing list
>> >> > >> >> >> >>> Qua...@li...
>> >> > >> >> >> >>> https://lists.sourceforge.net/lists/listinfo/quantlib-users
>> >> > >> >>
>> >> > >> >>
>> >> > >> >> _______________________________________________
>> >> > >> >> QuantLib-users mailing list
>> >> > >> >> Qua...@li...
>> >> > >> >> https://lists.sourceforge.net/lists/listinfo/quantlib-users
>> >>
>> >>
>> >> _______________________________________________
>> >> QuantLib-users mailing list
>> >> Qua...@li...
>> >> https://lists.sourceforge.net/lists/listinfo/quantlib-users
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