Questions tagged [yield-curve]

A yield curve is a plot of yields for various bonds (often government bonds) versus the bonds' maturities. We also often plot swap and other LIBOR rates to get the (related) swap curve.

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121 views

Meaning/importance of “yields” (bonds) [closed]

After reading many articles on bond yields (yield-to-maturity) I'm still not getting what they are used for by investors. I understand the math behind its evaluation, but, say, what exactly I can tell ...
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Value of a 30 year bond using the Yield curve

If I buy a $1 30 year bond with 4% coupon payment, would my cash flow be: $$ V^{30}(t) = \frac{$1 \times0.04}{1 + R(t, 1)} + \frac{$1 \times0.04}{1 + R(t, 2)} + \cdots + \frac{$1 + $1 \times0.04}{1 + ...
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1k views

Constructing yield curve directly from yield-to-maturity data

I'm trying to use Bloomberg yield-to-maturity data for sets of sovereign bonds of different maturities to fit to a yield curve. I looked into using the QuantLib library (the FittedBondCurve ...
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How does the term premium of the 10y20y Treasury forward rate relate to the 30y rate?

I'm reading recent research on Treasuries and to paraphrase, it says that long term 10y20y Treasury forward rates now have a positive term premium over the long run nominal funds rate (neutral rate). ...
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60 views

Relationship Between Yield Curve and STRIP Prices

Suppose at different maturities (e.g., 1 year from now, 2 years from now, 3 years from now, etc.), the price of a STRIP security is consistently decreasing as the maturity increases all else held ...
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1k views

QL-Python Bootstrapping Yield Curve FuturesRateHelper throwing off results

I'm trying to perform a bootstrap of a yield curve from deposit rates, futures, and swaps, and the interpolation is "blowing up" for the futures maturities being off by two orders of magnitude (100x). ...
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92 views

IR parity theorem

I wonder how post crisis multiple curve approach influences the ir parity theorem: $${\displaystyle (1+i_{\$})={\frac {E_{t}S_{t+k}}{S_{t}}}(1+i_{c})}$$ Let's say that $i_\$$ is USD Libor 3m rate ...
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How to compute treasury yields as reported in the online financial newspapers?

I am trying to compute treasury yields (with different data) similar to what has been done by bloomberg, yahoo finance, msn money, and wall street. I find the data reported by these are not the same ...
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3k views

Using Forward or Spot rates for NPV?

I have to calculate the NPV for Capital Budgeting in a project with annual cash flows discounted by a risk - free interest rates 1.Instead of using a constant interest rate, should it better to use ...
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Stub rate and first fixing in IRS

I have 2 questions that probably are related. Suppose there is an IRS that pays a 2% fixed rate every 6 months and receives the Libor 3 months (but paid every 6 months). The swap starts today (March ...
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6k views

Bloomberg Zero Coupon Rates

As some of your may know from my other posts, I am working on a Dynamic Nelson Siegel (DNS) based relative value trading model. On simulated data (which satisfies all the assumptions) of the DNS it ...
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Interpolation of Zero rate curve

I have the zero rates at certain time nodes, say 3-month, 5-month, 8-month,...,2-yr,... Now I want to interpolate the curve so that the implied one-month forward rates are piecewise linear. That is, ...
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84 views

How to Validate and Test a Discount curve (i.e. SOFR, LIBOR, ESTR)

Let's say an Interest Rate/Discount Curve (SOFR, ESTR, LIBOR or any other) is bootstrapped using the standard inputs and market quotes for Cash, Futures, Bonds/Swaps. What are the metrics to be looked ...
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Can you use the Svensson model to fit a smoothed curve for yields on coupon paying bonds rather than spot rates?

i've been struggling to find an answer to this question online, I know most applications of the model are used on zero (aka spot) rates. But could you use yields from a sovereign yield curve (i.e ...
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Estimating VaR of bond due to changes in the US yield curve

I am attempting estimate the 99% 10-day VaR of an investment grade bond due to changes in the US yield curve. The data provided is the daily prices of the bond over time. In addition I have the Daily ...
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Mark-to-market cross-currency basis swap valuation

I'm looking to replicate the EUR vs USD cross-currency basis curve that Bloomberg outputs (EUR.OIS collateralized in USD). I understand that Bloomberg is currently using the mark-to-market ...
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216 views

Spreadlock derivatives

I would like to price a spreadlock forward swap and a spreadlock swaption but I don't find in the web any research article. Would you please provide me with some freely accessible papers on the web ? ...
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201 views

Spot period considerations in yield curves

Textbook explanations of yield curve modelling discuss bootstrapping or other methods. If we take sovereign bonds for deriving the curve, we would get price data from a market data provider like ...
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876 views

Yield curve interpolation

I'm trying to build a zero/spot curve and have two pieces of information. 1yr zero coupon swap = 1% 3yr zero coupon swap = 3% My initial guess was to linearly interpolate which produces a linear ...
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2k views

Yield curve: Turn of year effect jump calculation

I'm trying to get the values for the turn of year jumps that can be found at section 4.8 of Everything You Always Wanted to Know About Multiple Interest Rate Curve Bootstrapping But Were Afraid To ...
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129 views

Difference between a 3-months UK nominal spot rate and a 3-months UK treasury bill discount rate?

I am trying to collect data I could use for calibration of a short-rate modeling process, so I need data which represents the historical short-rates. On the Bank of England webpage I came across the ...
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3k views

Convert USD yield into EUR yields

I want to calculate the EUR equivalent yield from the USD yield curve. For example : how to translate the USD libor curve into an EUR equivalent yield curve ? Do I need to use FX forwards or is the ...
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Do yield curves only show market expectations, or is there more to them?

I am hoping to understand 'Brexit' impact on UK yield curves. Specifically, government liability yield curves (so yields based on UK government bonds - Gilts): The Background On 24th of June - the ...
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Looking for the conventions for EONIA swaps used to define EONIA swap rates

I'm trying to recreate some historical curves using EONIA swap rates. Unfortunately I can't find a concrete specification for the swaps. Without knowing if there are intermediate coupon payments, I ...
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956 views

Zero Curve Calculation for AUD, CAD (post LIBOR scandal)

In the end of May 2013 British Bankers Association (BBA) stopped publishing LIBOR rates for Australian and Canadian dollars in a light of recent scandals. LIBOR rates were essential for creating zero ...
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Regressing changes in yield/yield curve

If I'm regressing changes in individual points along a yield curve and measures of changes in level/slope/curvature of that yield curve against the returns of some random variable then do I want to ...
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Hypothetical yield for a government perpetuity

I understand that with interpolation or bootstrapping one can determine spot rates given other spot rates, however how would you go about establishing what a hypothetical perpetual bond issued by, say,...
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Which curve is better to approximate bond yields (python)

I would like to approximate bond yields in python. But the question arose which curve describes this better? ...
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Which curve does the interest rate risk fall in?

For example, Australian government issues a bond denominated in USD currency? Which curve does the interest rate risk fall in? Australian Gov Curve or USD Gov Curve?
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Raw interpolation when the desired term is out of the know originals

I was reading this paper regarding the yield curve construction and was programming the Raw Interpolation algorithm (page 7 equation 6) however I was wondering how to use the formula when the desired ...
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248 views

Relation Between Yield Curve, First Order Derivative of YC and Forward Rate

I'm reading the book, "Derivatives Analytics with Python" by Yves Hilpisch. In an application of calibration of CIR85 process for the short-term interest rate. I found some codes which can be ...
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162 views

Zero Coupon Curve and Floating Rates Notes pricing

Simple question: Can I use a Zero Coupon Curve (using Treasury or Swap Curve) to price floating rates notes (FRN)? I am building a classic Zero Coupon Curve, however I wonder if I can use it to ...
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753 views

Interest rate curve in option pricing

When pricing an equity option we calculate risk-free rate by interpolating one of the curves below for time-to-maturity T. What is the difference between the following curves and in what case each is ...
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140 views

How are LIBOR rates beyond 12M arrived at? [closed]

I understand LIBOR rates quoted on a daily basis upto 12 M tenors. But how are rates beyond 12M tenor estimated. I got this question from an interviewer.
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Libor futures rolling adjustment & curve building

Can futures rolling affect curve constructing? Let's say that i'm using future 1 and 2 to construct the short end of my curve. As i understand it, rolling will create volatility (as volumes spike), ...
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604 views

Yield curve and bid ask spread

For the valuation of a bond, is the bid ask spread somehow reflected in the yield curve? Considering zero coupon bond, one would expect to have an bid price and ask price and therefore if I am ...
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64 views

What does equilibrium return on 90-day Treasury Bills mean?

I have been reading NZ Superfund's 2015 Ref Portfolio Review (here) and came across this notion: Our estimate of the equilibrium return on 90-day Treasury Bills is 5%. And this is under the column ...
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Zero rate curve USD Libor

Good day, I gave following inputs of Libor rates : ON 0.3731 1W 0.3939 1M 0.4265 2M 0.5148 3M 0.6176 6M 0.8655 1Y 1.1336 How can I build zero-rate curve ?
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218 views

Strategies on steepen yield curve

Believe that the yield curve is going to steepen very soon. It may be fall in short-term rates, a rise in long-term rates, or some combination of these. What strategy should we pursue in the bond ...
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146 views

Constructing NS-Svensson parameters with zero coupon AND coupon bonds

I am in the process of calculating sovereign zero coupon yield curves using the NS-Svensson parameter for a number of countries. Due to data constraints, I would like to use the information from price ...
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Understanding how to obtain Nelson Siegel Svensson parameters

I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non- Linear Optimization problem to do this. I am using the procedure presented in this paper. The way I ...
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103 views

How do I interpret yield curve data points given by the US Treasury?

Given the Daily US Treasury Yield Curve Rates for a specific date I will fit the curve with the cubic spline method, but first I need to know how to use the data points given by the Treasury. For ...
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254 views

Basic questions on the yield curve

When people say "yield curve", do they mean yield/time curve, or yield/price curve? It seems that most of the time, people refer to yield/time curve, as wikipedia suggests. Though sometimes, people ...
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2k views

Deriving the par-yield curve

Given for example 6 bond prices and their respective 6 cashflows over a time period of 6 years, I have managed to derive the zero-coupon yield curve using the bootstrap method. However, it got lost ...
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Bootstrapping The Spot Yield Curve

I have some questions regarding the bootstrapping technique for constructing the spot yield curve. Assume that I want to fit the spot yield curve for U.S Treasury securities and I observe the prices ...
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144 views

How do I hedge yield spread?

We'd like to offer a product in which a notional amount $(N)$ is given, and the underlying is spread $(s)$ defined as, say, 30Y yield minus 10Y yield (both from treasury YTM yield curve). At the end ...
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51 views

Short rate models practical textbook

Currently working on a validation and testing of a yield curve model (one factor short rate model). Have been reading Andersen and Piterbarg, and Mercurio and Brigo. Good for true understanding, but ...
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Free swaps/swaptions data

I would like to play around a bit with some yield curve models. I am looking for a way to get a hold of free swaps/swaptions data. Obviously, the quality does not have to be super good, I am merely ...
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Construct the midsection of the yield curve from Eurodollar futures prices

As detailed in this section of the Wikipedia page on the Yield Curve, we can construct the yield curve from the money market as follows: The LIBOR rates give us the short end of the curve (t < 3m) ...
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Calculate zero recovery discount curve from bond yields and cds prices?

Clarifying the below: Given the prices of bonds that are not trading in distress as yet (so yields are meaningful), and data on the CDS spreads, I’ve been looking for some approaches for estimating a ...