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Questions tagged [bootstrapping]

Bootstrapping is primarily a method for constructing a (zero-coupon) fixed-income yield curve from the prices of a set of coupon-bearing products, e.g. deposits, forwards/futures, bonds, swaps etc. The term convers also any recursive procedure of the same kind, for instance default probability curve bootstrapping, caplet volatility bootstrapping.

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Comparing MVO with Resampled Efficient Frontier

My question: How can I compare the Resampled Frontier (REF) to the standard MVO frontier when I have been provided with $\mu$, $\Omega$, and don't have access to true future data to test real out of ...
user avatar
9 votes
2 answers
13k views

How do I calculate Sharpe ratio from P&L?

Say I have a market-making strategy that trades intraday. I start with a flat position and finish flat too. I end up with a daily P&L $p_{today}$. Over a year of trading I get $\vec{p} = (p_1,\...
statquant's user avatar
  • 1,288
8 votes
2 answers
1k views

Risk neutrality correction for Monte Carlo Bootstrapping according to PRIIP regulation for products of category III

The PRIIP (packaged products) regulation prescribes Monte Carlo bootstrapping simulation for calculation of VaR for products of category III (non-linearly leveraged products). The idea is based on ...
Branislav Cuchran's user avatar
8 votes
1 answer
785 views

Transforming 3M volatilities into 6M volatilities in EUR forecast curves

I have implemented a stripping algorithm to extract forward volatilities from cap/floor flat volatilities for different currencies. I am however struggling a bit when implementing a method to convert ...
Adam's user avatar
  • 483
7 votes
1 answer
4k views

Bootstrapping spot rates from treasury yield curve

I'm attempting to construct a spot rate and forward rate curve from the 2011 daily treasury yield curve rates provided by the US Treasury. All US Treasury securities (1m, 3m, 6m, 1y, 2y, 3y, 5y, 7y, ...
qfin_newguy's user avatar
5 votes
1 answer
6k views

Quantlib-Python: use zero rates to get the originally bootstrapped curve

Let's say I am trying to build a curve using deposits, future and swaps with one of the three Quantlib methods in Python as below: ...
opt's user avatar
  • 569
5 votes
1 answer
1k views

Bootstrap with QuantLib: Fair Swap or zero NPV

In all brevity What is the termination condition used in QuantLib's curve bootstrapping? Can I modify this setup to my needs, e.g. can I tune this to a higher accuracy? Background When bootstrapping ...
Kermittfrog's user avatar
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5 votes
1 answer
5k views

What is Dual Curve Bootstrapping? And how to do it, with an example?

I am starting to explore this area. My ultimate aim is to build a 3 month LIBOR forward curve. I wish to know what exactly 'Dual Curve Bootstrapping' is (If someone could explain it in clear words). ...
Mathematician Joe's user avatar
5 votes
1 answer
2k views

SOFR term structure

Recently I have been going through a lot of documents for SOFR (Secured Overnight Financing Rate) as there is a SOFR implementation in my organization. I am not able to understand how SOFR term ...
user44208's user avatar
5 votes
3 answers
2k views

Bootstrapping Sharpe Ratios

A similar question to this was asked here: How do i test the significance of Sharpe ratio of a strategy using bootstrap I have bootstrapped the original time series (using block bootstrapping) and ...
Bazman's user avatar
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5 votes
1 answer
7k views

Dual Curve Bootstrapping - When to OIS discount?

I am a new quant and I am trying to understand some of the specifics of dual curve bootstrapping. For concreteness, suppose I want to build a Libor forward curve. From what I understand OIS ...
moquant's user avatar
  • 115
4 votes
1 answer
3k views

Bootstrapping OIS curve

I am trying to get a zero curve from a series of EONIA-based OIS rates with Quantlib. When comparing my output with Bloomberg, I find some differences (see at the end of the question), and and I don't ...
Tomás Carrera de Souza's user avatar
4 votes
1 answer
6k views

QuantLib Python Swap Yield Curve Bootstrapping Dates and Maturities

This is somewhat related to the question I asked here but simpler. I am trying to bootstrap a yield curve from swaps, and am having a problem with the dates/maturities that are coming out. The code ...
JVP3122's user avatar
  • 145
4 votes
1 answer
1k views

Bootstrapping OIS Curve with data from different days data

I have the following problem bootstrapping the JPY OIS Curve. The bootstrapping itself works when havin one set of data, e.g. for the date 2017-02-09. I have all my instruments and as said ...
NewNY1990's user avatar
  • 107
4 votes
1 answer
1k views

Bootstrapping discount and forward curve (using ESRA) and price a vanilla swap

I am just starting to use Quantlib, and want to try and replicate the SWPM-functionality in Bloomberg, and price a vanilla 5Y EUR OIS. Below is the overall swap data used in BBG: Overall settings ...
gussilago's user avatar
  • 161
4 votes
2 answers
335 views

Creating yield curve from exchange-listed products only?

For use in subset of my thesis, I’ve been given some exchange market data for several exchange-listed products, including Eurodollar rate futures as well US treasury futures and Fed Funds futures. I ...
Michael Clinton's user avatar
4 votes
0 answers
774 views

Bootstraping CLP Swap with Quantlib

After reviewing and fixing my last code (Swap Bootstrapping with quantlib), i managed to get the zero rates for the ICP swap curve (CLP). Now the thing is that there is a considerable difference ...
Jose Pedro Melo's user avatar
3 votes
1 answer
977 views

Why the 3M Zero Rate is not equal to the 3M Cash Rate? On Bloomberg yield curve bootstrapping

Can someone explain to me why the 3M Zero Rate is not equal to the 3M Cash Rate? Thanks.
Tian's user avatar
  • 71
3 votes
2 answers
394 views

Estimating a Yield Curve in a country without Bond Stripping

I am currently working under estimating a Yield Curve. From my understanding common procedures to construct a yield Curve like Nelson Siegel have the input of a series of different zero rates and ...
Nuch's user avatar
  • 31
3 votes
1 answer
2k views

Using RateHelper (bootstrapping) and Speed up in Quantlib Python

I am wondering whether it is possible somehow to speed up my script using ratehelpers/bootstrapping. I am creating for every days a new ratehelper. Is there a way building up just once the ratehelper ...
MCM's user avatar
  • 220
3 votes
2 answers
983 views

6 month curve from 3 month forward rate agreements

Is it possible to bootstrap at least an approximate 6 month LIBOR curve (actually NIBOR, for Norway, in my case) if rates for 3 month FRAs are known? For example, say we know the rates for 1x4, 7x10, ...
Math's user avatar
  • 249
3 votes
1 answer
2k views

Bootstrap ESTER and SOFR curves with Quantlib Python

Is it possible to bootstrap the new ESTER and SOFR term structures in Quantlib? More in general, does the process work as the usual one? Given these are simple indices that are published on a daily ...
opt's user avatar
  • 569
3 votes
3 answers
682 views

Basic boostrapping question

Suppose I have three bonds: Coupon bonds are paid semi-annually. Rates are continuous compounding. I'm trying to bootstrap the zero rates for 0.5 years maturity using the 1 year zero coupon bond and ...
FinanceNoob's user avatar
3 votes
1 answer
475 views

LIBOR with different tenor

Let $F(t;S,T)$ be the forward rate from $S$ to $T$ seen at time $t$, and $I$ be one of tenors, i.e. $I$ is one of {1M, 3M, 6M, 12M}. Then the forward curve $t\mapsto F(0;t,t+I)$ is $I$-forward curve. ...
brian kim's user avatar
  • 141
3 votes
1 answer
859 views

Questions about Markit rates curve bootstrapping

I am reading the following two Markit documents concerning the bootstrapping of respectively the USD rates curve and the EUR, GBP, JPY, CHF, CAD, HKD, SGD, AUD and NZD rates curves. (Both versions are ...
Olórin's user avatar
  • 1,223
2 votes
2 answers
4k views

Bootstrap yield curve with QLNet / Quantlib

I am trying to grasp QLNet (C# version of Quantlib, all the functions of Quantlib have the same name and work the same way, so if you just know Quantlib, you can still help me), especially for pricing ...
Sithered's user avatar
  • 808
2 votes
1 answer
2k views

Quantlib bootstraping fails on 5y swap

I'm trying to build a euro swap curve with real up to date data. I should say that examples provided in github work fine. as soon as I add the 5y swap, I got the following error : ...
euri10's user avatar
  • 215
2 votes
2 answers
527 views

QuantLib: How to bootstrap Yield Curve using 3M futures - Python

I need to bootstrap a yieldcurve with 3M futures, using a cubic spline if possible. Using, for example 3M Euribor, how do I bootstrap the yield curve using python? I have a vector of dates and a ...
Afonso Batista's user avatar
2 votes
2 answers
499 views

Bootstrapping - why PAR instruments

I understand the mechanism of use bootstrapping to create a yield curve. However, why do we choose a PAR (bond/swap) in creating the curve? Is it for simplicity? Is it possible to use non-PAR ...
user101998's user avatar
2 votes
2 answers
4k views

Projection and Discounting Curves

I am trying to better understand multi-curve bootstrapping, but I am clearly misunderstanding what is meant by: a) projection curve b) discount curve I've tried googling the definitions but it's ...
nicshah's user avatar
  • 123
2 votes
1 answer
567 views

AUD Forward Rate Agreement and Forward Curve Bootstrapping

The pricing between an Australian Forward-Rate-Agreement is different compared to the US one. The question is whether this is somehow included already in the Quantlib? Also how does it compare to the ...
JonDoe's user avatar
  • 137
2 votes
2 answers
625 views

Transform a 3M FRA Rate to a 6M FRA Rate

I have a question whether it is possible to transform 3M FRA rates to 6M FRA rates without having any spreads available. Let's give an example: FRA 3M: FRA 1x4 FRA 2x5 FRA 3x6 FRA 4x7 FRA 5x8 FRA ...
JonDoe's user avatar
  • 137
2 votes
2 answers
720 views

forward space vs zero space in finance jargon

Would anyone know what does it mean to value an asset in "forward space" versus "zero space" ? where does one start from when trying to dig into the meaning of this? Thanks in advance.
Kriska's user avatar
  • 107
2 votes
1 answer
1k views

Yield curve bootstrapping: direct market rates vs discount factors interpolation

From my understanding, there are (most generally speaking) two approaches for bootstrapping the yield curve (with an exact method). We can either interpolate between the market quotes (interbank ...
deblue's user avatar
  • 281
2 votes
1 answer
2k views

RFR boostrapping using RFR OIS: Is convexity adjustment technically necessary?

For single-curve RFR bootstrapping, such as a SOFR-based discounting curve bootstrapped strictly using SOFR fixed-float OIS, I am trying to understand if convexity adjustments are technically ...
subnagus's user avatar
2 votes
1 answer
2k views

OIS Discount Factor Bootstrapping - Do we assume simple interest?

When I am reading papers (ie here and here) on bootstrapping discount curves they refer to obtaining discount factors from rates for swaps maturing less than a year with: $$D(t, T_i) = \frac{1}{1+s_i(...
JSharm's user avatar
  • 123
2 votes
1 answer
540 views

QuantLibXL - Optionlet bootstrapping failure

I am trying to bootstrap the Optionlet volatility surface from a Cap/Floor volatility surface using QuantLibXL. To be specific, the data is from ICAP: ...
LCC's user avatar
  • 231
2 votes
1 answer
1k views

Python yield curve bootstrapping equivalent to Matlab IRDataCurve.bootstrap

I want to bootstrap the yield curve of multiple currencies using 3M futures. I have it implemented in Matlab, but need to transfer to Python. I have a vector of dates and a vector of future prices. ...
Afonso Batista's user avatar
2 votes
1 answer
31 views

How would I develop confidence bounds for a function of 3 random variables, 2 of which are correlated?

I am tasked with developing confidence intervals for the function x = 1 - |(a+b)/c| where a, b and c are random variables. a and b are normally distributed, but c is heavily skewed left. further ...
Ksnapp's user avatar
  • 21
2 votes
1 answer
361 views

Bootstrapping spot rates based on swap rates using QuantLib

I am bootstrapping the shibor curve and fr007 curve using swap rates in China. I created my own index like following: ...
NewWrtier's user avatar
2 votes
1 answer
537 views

Convexity in interest rate curve bootstrapping

Whether the bootstrapping is a multicurve one or not, one can use futures quotes. One link these quotes to corresponding (synthetic) forwards (that can be expressed as known functions of zero-coupons) ...
Olórin's user avatar
  • 1,223
2 votes
2 answers
2k views

bootstrapping bloomberg

Does anyone know the zero rate here at -0.23022 is derived? I have tried (1+0.0056*0.503)*(1+-0.00232*0.086)=(1+?^(1/0.589). Solving for ? gives me -0.002344. I have tried simple and compounded ...
Akk's user avatar
  • 39
2 votes
2 answers
2k views

QuantLib-Python: How to set fixed reference dates when bootstrapping the term structure?

I am borrowing from an example in the "Quantlib Python Cookbook" section 7, to ask my question. To make the point as clear as possible I simplify the code a bit. The aim is to strip the EONIA curve ...
Bernd's user avatar
  • 342
2 votes
1 answer
1k views

Bootstrapping 3M Curve based on 6M Quotes and Basisswaps 6Mvs3M in Quantlib does not Price to zero

I am trying to understand the rate helper more in detail. In principal I want to build a 3M forward curve based on 6M quotes and 6Mvs3M quotes. The 6M works and prices to 0. I am not sure whether ...
NewNY1990's user avatar
  • 107
2 votes
1 answer
226 views

Determining discount factors for non-standard maturities

Let's say we'd like to find a par rate for a 1 month forward starting 20-year interest rate swap. In this case, we'd need to discount cash flows for the payment periods shifted +1 month from standard ...
sashkello's user avatar
  • 989
2 votes
1 answer
314 views

Parametric bootstrap in generating returns and hypothesis testing

I am trying to test a hypothesis of a statistic calculated from portfolio returns. To do so I estimate a model on the original returns series and want to obtain 100 bootstrapped series using ...
Masher's user avatar
  • 491
2 votes
0 answers
3k views

How Bloomberg calculates discount rates for zero rate curves?

I would like to ask about discount rates calculation algorithm by Bloomberg terminal. In the image above is possible to notice the discount rate for each term. The short end, instruments from 1 DY up ...
Sávio Brilhante's user avatar
2 votes
0 answers
45 views

Models that can improve FHS (with possible residuals manipulation)

The Filtered Historical Simulation (FHS) is a tough benchmark. By: choosing among the most complicated ARMA-GARCH variants with automatic model and lag selection, manipulating standardized residuals ...
Lisa Ann's user avatar
  • 2,133
2 votes
0 answers
1k 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 ...
gosymmetry.de's user avatar
2 votes
0 answers
235 views

Basic question on Plain Vanilla Interest Rate Swap pricing

I'm new to quant and would like to understand on pricing AUD Plain Vanilla Interest Rate Swap. In post/article/book often explain for long end, we use SWAP RATE that are observed in market. But I'm ...
Lorienzo's user avatar