# Questions tagged [yield-curve]

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### Does Nelson-Siegel require adjustments to yield curve input data?

I am attempting to gain a better understanding of the limitations of the Nelson-Siegel model as described in Estimating the Yield Curve Using the Nelson-Siegel Model. As I have been playing around ...
2k views

### How to sum interest rate curves in QuantLib

C++ code taken from Bonds.cpp and slightly amended: ...
1k views

### QuantLib error with qlPiecewiseYieldCurveData() on qlPiecewiseYieldCurve() with ZeroYield and ForwardRate

I'm using QuantLibXL to build a discount curve, a zero yield curve and a forward curve of the EURIBOR rate (QuantLibXL is downloadable here). I've built an object of class ...
157 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 ...
161 views

### What's the logic behind 3-10 UST yield inversion predicting recession?

Is there causality, behavioral or logical explanation behind this indicator or is it just purely an observation based on correlation? My guess is that there are existing derivatives with clauses that ...
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327 views

### What's Hedge Curve Template

what's a Hedge Curve Template (HCT)? How does it help value a bond? It appears to me it normally is used together with another curve where x,y-axis being maturity dates and discount factors ...
211 views

### Brazilian break even inflation curves

Brazil has had historically two sets of inflation bonds, the NTN-B and NTN-C series each with a different inflation index. The NTN-C is no longer issued. When creating historical break even ...
46 views

### Dual curve construction

I'm new to curve construction for swaps pricing concept and I am having hard time to understand dual curve construction and what difference it from single curve ? how do we construct it ? can someone ...
102 views

### How is the integral relationship between current yield curve and forward yield curve derived?

$$y(\tau) = \frac{1}{\tau} \int_{0}^{\tau} du \Big(f(u)\Big)$$ As far as I understand the forward rate is the future rate based on the expectation hypothesis. But it is unclear how many years into the ...
226 views

### Relative order of curve for coupons for Upward Sloping Yield

Why would the forward curve be above zero and coupon bond yield be at the bottom for a sloping up yield curve.
384 views

### Is there really a negative roll yield for futures in contango?

I am trying to wrap my head around how ETFs that track futures work (whether its USO tracking WTI futures or VXX tracking VIX futures). I have read online about how for normal contango environments, ...
588 views

### Equations for multicurve calibration with OIS discounting

I am trying to calibrate my forecast and discount curves using the multi-curve approach with OIS discounting. To do so, I have a implemented multivariate Newton-Raphson root finder. I am finding a bit ...
606 views

### Quantlib FuturesRateHelper triggers not a valid IMM date error

I'm beginning to use QuantLib with Python SWIG, and trying to build a EUR yield curve. I face this error which frankly I don't understand; I looked at the code of bool IMM::isIMMdate in imm.cpp and ...
314 views

### Yield to Maturity

For a bond with market price $P_t$ and fixed payments $c_n$, I'm told the yield to maturity is given by the solution $Y$ to the equation $P_t=\sum_{n=1}^N c_n e^{-Y(t_n-t)}$. Firstly, I'm not great ...
451 views

### Bond (yield curve) dynamics in the Forward-LIBOR-market-model

The standard Libor-Forward-Market-Models provides a way of modelling the evolution of forward rates in time. However the model does not seem to be well suited for the modelling of zero-bonds. But ...
1k views

### Yield Curve Volatility

Let you have several issuers, and let each issuer have its yield curve built up with liquid plain vanilla fixed rate bonds. Each yield curve has its slope and its curvature, and they obviously change ...
5k views

### Do we use the Nelson-Siegel model to calculate the yield curve?

Suppose we are to plot a yield curve for a list of bonds. Do we use the Nelson-Siegel fitted yield curve since that's with the case for zero coupon bonds? Or do we in fact use bonds with different ...
3k 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 ...
2k views

### Par Yield, Bond Yield and Zero Rate

In the Hull's book, chapter 4.4, it says : The par yield for a certain bond maturity is the coupon rate that causes the bond price to equal it's par value. Then for this question (4.18) : “...
199 views

### Arbitraging upward sloping yield curve

I read from various sources that yield curve is normally upward sloping. If that's the case, if we borrow short term and lend long term, won't we always make money on average? Let's say 1-year ...
185 views

### What do these maturity codes mean?

In fitting a curve I found that people are using the following tenors: U1 Z1 H2 M2 U2 Z2 2Y Could you please let me know what exact time periods they stand for? Is there a web page describing ...
132 views

### 3M curve vs 6M Curve, which one to use for valuation of IR Derivatrives

Sorry, this might be basic for some of you but I'm very confused when it comes to know which curve (6m or 3m) we can use for valuations of swaps and swaptions. Could someone please explain when to use ...
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I have a problem in understanding following strategies: bullish flattening trades bearish flattening trades bullish steepening trades bearish flattening trades Can anyone give me an explanation ...
1k views

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### Reconstruct yield curve from principal components

I am currently building a model which aim is to model shocks to the yield curve (i.e. 25bps hike in the short rate). Currently I am looking at a swap curve from which I derive the PCs. Assessing the ...
382 views

### Corporate Bond Yield Curve

I am an intern in a mutual fund and they have asked me to create in house yield curve for different type bonds in their portfolio I need to know on what basis are different yield curves made. For ...
452 views

### Why we should specify the evaluation date when using Quantlib yield curve? And why updating the evaluation Date is time consuming

I was runing some tests using the yield curve structure in quantlib mainly: PiecewiseYieldCurve It seems that I have to fix the evaluation date using such a line : Settings::instance().evaluationDate(...
1k views

### Derivation of the Nelson-Siegel model and proof of arbitrage

1. I am looking for a derivation of the Nelson-Siegel model $y(m)=a+b\left( \frac{1-e^{-\lambda m}}{\lambda m}\right)+c\left( \frac{1-e^{-\lambda m}}{\lambda m} -e^{-\lambda m} \right)$ It is ...
2k views

### Discount Factors to Zero Rates

I have obtained a Ibor-6Months curve using bootstrapping techniques. For the short-term of the curve I used spot, for the middle-term FRAs and for the long-term IRS. The curve that I have obtained is ...
694 views

### Comparison of multicurve calibration methods

It seems that there are mayor softwares around offering a multicurve framework based on bootstrap. I find this puzzling nowadays, given the distinct advantages of best-fit optimization methods and ...
60 views

### yield curve basics

Suppose we observe the following term structure (of annualised spot rates): 0-3 Months $\rightarrow$ 4.0%. 0-6 Months $\rightarrow$ 4.2%. 0-9 Months $\rightarrow$ 4.4%. Question1) How can we ...
127 views

### Curve building for a swap

I'm a student learning how to build a swap curve, I've deposit 6m rate = 5%, fra 6-12m rate = 5.8% and 12m-18m rate= 6% and swap 2y =7% and 3y swap rate = 7.5%. I get the correct discount factors for ...
165 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) ...
505 views

### Duration split: treasury curve vs spread duration

I am looking at corporate bond (FR0013367620) in Bloomberg for which I have these values: DUR_ADJ_MID (modified duration performed using the yield to worst): 6.649 DUR_ADJ_OAS_MID (security's price/...
219 views

### Introducing 1bp shocks to yield curve (and interpolation consequences)

Let us assume we have a LIBOR 3M curve and that I would like to introduce a small shock up/down of 1bp at a certain point along the curve. I am trying to find out what the best and most efficient way ...
567 views

### Cubic spline interpolation function within Matlab

I want to use the Cubic spline interpolation technique so I can interpolate yield curve points. Now I wonder if I can use the standard matlab function interpl1 (and then using the 'spline' method) or ...