Questions tagged [daycounting]
The daycounting tag has no usage guidance.
40
questions
4
votes
2
answers
259
views
Calculation of Cashflows Using ISMA Day Count in Fixed-Rate Bond
I'm working with a fixed-rate bond in QuantLib, and I have set the day count convention to ISMA, but I would like to understand how this specific day count convention is used in the calculation of the ...
- 47
0
votes
0
answers
60
views
Calculation of accruals using Actual/Actual AFB day count convention in QuantLib library
I am using the QuantLib library to calculate accruals for a fixed rate leg, using the "Actual/Actual AFB" day count convention. The payment period is annual, and the cash flows occur between ...
- 47
0
votes
1
answer
173
views
Does QuantLib have a DayCount convention that supports India financial year calculations?
I'm currently using QuantLib to perform financial calculations in my application, but I'm having trouble finding a DayCount convention that supports the India financial year calendar (April 1 to March ...
- 47
0
votes
1
answer
124
views
Python Quanlib : yearFraction returns same number when I change the valuation date
I am completely new to python/coding so apologies in advance if the question is too basic but I could not find the answer elsewhere.
I am trying to calculate the daycount fraction from the settlement ...
- 55
1
vote
1
answer
169
views
Day Count Convention & Compounding Frequency Assumption in Interest Rate Swaps and Discount Factors
This question concerns old LIBOR Swaps where their fixed legs are based on 30/360, and floating legs on Act/360.
Q1. Let's assume the simple self-discounting case where spot rates are obtained ...
- 11
1
vote
1
answer
166
views
Business day convention in fixed income
I have a question regarding the business day convention. Suppose I have a bond that matures on the 17th of September 2023 and pays an annual coupon of $1%$. It has a $30/360$ day-count convention and ...
- 145
4
votes
1
answer
2k
views
Implementation of Act/Act IDSA / ICMA / Bond Day Count Convention
I read the following definitions of day count rules
(ii) if “Actual/Actual (ISDA)” or “Act/Act (ISDA)” is specified, the actual number of days in the Interest Period divided by 365 (or, if any ...
- 8,952
2
votes
2
answers
416
views
Which Day Count Convention applies in a Cross Currency Swap
What is the rule (assuming there is one) specifying which day count convention should prevail in a cross-currency swap?
For example, where EUR follows ACT/360 and GBP follows ACT/365, which of the two ...
- 23
0
votes
1
answer
65
views
Day-Time conventions spanning across years
I have 2 dates, let's say 2010-01-01 and 2020-01-02, and I am interested in calculating the year fraction between them according to the Act/365 time convention.
Would this be just
$$
\frac{\text{raw # ...
- 276
2
votes
1
answer
243
views
Actual360 convention in quantlib schedule
I'm trying to make a payment schedule for different bonds in quantlib. For example, I made such a schedule:
...
- 193
0
votes
0
answers
96
views
Day Count Convention
I am currently reading the book Term-Structure Model, chapter 3, by Damir Filipovic and I have the following problem:
The Libor rate for the maturities: Over night, 1 week, 1 month, 2 months and 3 ...
1
vote
2
answers
2k
views
Day-Count-Conventions T-bills, T-notes and T-bonds
I have a question regarding the day count conventions for T-bills, T-notes and T-bonds. So far I haven't found an official page that clearly states which method is used and I don't own bloomberg etc. ...
- 481
0
votes
1
answer
303
views
How to model fixed-rate loans or mortgages with act/365 but constant payment
My question
I have a question on how to model the cashflows of fixed-rate loans or mortgages.
Let's say the payments are monthly, and the rate remains constant throughout the life of the product; each ...
-1
votes
1
answer
2k
views
Converting pandas datetime to QuantLib dates: why do the inputs need to be converted to int only some times? It seems random
I am trying to use the QuantLib library with Python.
In the example below, I create a pandas dataframe with some dates and some cashflows, convert the dates from pandas' format to QuantLib's, and use ...
1
vote
3
answers
588
views
Day count methods and actual coupon payments
Assume I have a bond that pays 5% coupon anually on the last day of the year. The day count method used to calculate accrued interest over time is "days actual / 360". The day before the ...
- 11
0
votes
1
answer
229
views
0
votes
0
answers
107
views
Pricing 5Y US treasury day count convention
I am trying to price a simple 5Y US T Bill. The pricing should be fairly straightforward, however my result is still off by a significant amoaunt. I think the daycount fraction is incorrect, but I am ...
- 101
2
votes
0
answers
779
views
Bloomberg SWPM Zero Rate Curve Conventions
Referencing : Bloomberg SWPM: Day count to calculate discount factor for US0003M
Hi,
I have a hard time reproducing the conversions between Discount factors and zero rates for an XCCY Swap I have ...
1
vote
0
answers
154
views
Dealing with day counts that span a weekend
Consider the following security:
CUSIP: 3130A3GE8
Federal Home Loan Bank
Maturity: 2024-12-13
Coupon: 2.75 % (CPN)
Previous Coupon Date: 2019-06-13
Today is ...
3
votes
2
answers
1k
views
Misunderstanding of 'day counts' and accrued interest
I'm totally new to the fixed income world.
My goal with this question is to gain an understanding how interest is accrued day-by-day for a particular instrument. This will obviously be done by an app ...
3
votes
1
answer
2k
views
IMM Swaps - Accrual & Fixing Schedule
I am wondering how accrual periods & reset dates on Quarterly-IMM swaps are different to normal swaps (in terms of conventions). For example:
Normal Swap:
...
- 1,192
1
vote
2
answers
4k
views
Bloomberg SWPM: Day count to calculate discount factor for US0003M
I'm trying to replicate price I get for CCIRS in SWPM. This is USD3m float vs RUB 1Y. Second leg doesn't matter for my question.
Suppose today is 7th of Jan 2019, deal date. Settlement will happen on ...
- 166
0
votes
1
answer
478
views
Why is the number of accrued days equal to one on coupon dates for NL/365?
Accrued day should be zero on coupon dates. This is true for all day count conventions. However, I found that Bloomberg returns 1 accrued day on coupon dates only for NL/365 day count.
Bond example:
...
- 157
1
vote
1
answer
1k
views
Using DayCounter ActualActual.ISMA in QuantLib
Suppose we have a semiannual coupon bond. The calculation date is 5/8 2017. The ex-coupon date is 4/20 2017 and next coupon date is 10/20 2017.
...
- 33
1
vote
1
answer
2k
views
Fixing date, start date, end date in interest rate derivative valuation?
I was reading a technical report by Hagan, which can be downloaded here on the valuation of accrual swaps and range notes.
It caught my attention that in the valuation he comments this:
Consider ...
- 282
1
vote
1
answer
423
views
Day count convention Actual/Actual AFB; Factor for Date1 = 2004-02-28 and Date2 = 2008-02-28
The Actual/Actual AFB day count convention is explained on Wikipedia here. I'll condense the rules here the way I understood them.
Factor = Days(Date1,Date2)/DiY
If 29th february is in date ...
- 121
1
vote
1
answer
481
views
Characteristics of a Discount Curve
Does the discount curve used for discounting cash flows have to be a zero coupon, annual compounding, actual by actual day basis curve? In practice, does a curve used for discounting necessarily have ...
- 11
1
vote
1
answer
108
views
Towards a standard day count convention in Finance, what the standard should be?
I recently found out about the multitude of day count conventions in Finance (e.g.wikipedia and stackexchange). As far as I understand the reason for this variety is a long history of diverse usage.
...
2
votes
1
answer
164
views
Day counts and time increment in Monte Carlo
Suppose the evolution of the stock price is given by Geometric Brownian Motion. Futher I assume that the risk free rate process is given by CIR model. In both models there is a time increment dt. To ...
- 65
-1
votes
1
answer
51
views
When computing with rates, how long is a year? how long is a day?
The convention says that when computing with rates, $1$ year has $360$ days. Does this mean that, when computing with rates, $1$ year has $360$ normal days or 1 day is $\frac{365 \times 24}{360} = 24....
- 151
2
votes
1
answer
663
views
discrepancy in calculating 30/360 day count
I'm trying to calculate 30/360 (US) date differences, but I'm confused by the differences between calculating dates in one order vs the other.
When I calculated the difference between date1=2/29/2016 ...
- 21
2
votes
1
answer
170
views
Day count convention confusion
For example I want to calculate a year fraction between the dates: 2011.03.31 and 2015.05.30.
There are 1521 days between the two dates, but 2012 was a leap year. So what should I use in the ...
- 95
1
vote
1
answer
388
views
NOK NOWA overnight day count
The NOK overnight index NOWA is defined as:
Reported interest rates shall be calculated as nominal annual rates
for the actual number of days in the year ahead (365 or 366).
(The percentage ...
- 292
2
votes
1
answer
1k
views
LIBOR Quoting Conventions
I have been trying to build a NSS parameterization of LIBOR term structure, and have confused myself over how all the dates are dealt with.
On https://www.theice.com/publicdocs/futures/...
- 23
-1
votes
1
answer
162
views
Pricing of Interest rate swap with start ex. 01/06/2015 to 03/06/2015 - 2 extra days? Change discount factor and fixed payments?
I hope you can help me.
So let say we have an interest rate swap, with the following characteristic:
Start in 30/06/2015.
End in 02/07/2019
It has fixed payment every year, and floating every ...
2
votes
1
answer
972
views
ACT/360 day convention in swap pricing
The floating leg of a USD swap has present value
$$
PV = \sum_{i=1}^N \delta_i f_i p^d(t_i)
$$
where the $\{t_i\}$ are the floating leg payment dates, $\delta_i$ is the accrual fraction between $t_{...
- 5,808
2
votes
0
answers
75
views
Can I use these rates for ACT/360 discounting?
I have calculated forward rates like this:
$r_{t_1,t_2} = \left(\frac{(1+r_2)^{d_2}}{(1+r_1)^{d_1}}\right)^{\frac{1}{d_2-d_1}} - 1 $
I want to find the discount factors for these forward, with ACT/...
- 21
2
votes
1
answer
99
views
Translating dates to times
I am using Act/365 day-count convention. How do I compute the time offset between 2/28/2015 and 3/1/2016? 3/1/2017
Some ideas:
Direct day count: count number of days between the dates, and divide by ...
- 276
8
votes
1
answer
8k
views
Which day count conventions are there and where do they apply?
I am looking for
a list of day count conventions. Is the list on Wikipedia complete or do you know others?
Which rules of thumb are there to choose day count conventions when none is specified, ...
user1157
3
votes
1
answer
2k
views
Which method is implemented by Excel's YEARFRAC for ACT/ACT?
I know the algorithm used by Excel to calculate the YEARFRAC(startDate, endDate, basis) for basis=1. Excel calls the method "act/act". A Java re-implentation of Excel's algorithm can be found at ...
- 1,796