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Questions tagged [fixed-income]

Securities which obligate the borrower/issuer to make payments on a fixed schedule. Fixed income securities include sovereign, corporate and municipal bonds, corporate loans, and securitized lending (e.g., ABS). "Fixed" refers only to the schedule of obligatory payments, not the amount, and may include inflation linked bonds, variable-interest rate notes, and the like.

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What is the difference between Option Adjusted Spread (OAS) and Z-spread?

I am preparing for the CFA level 2 exam, I got confused by the concept Z-spread and OAS. When a call option is added to a bond, since it is not favorable to the bond buyer, they would require more ...
15
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0answers
235 views

What is the trickiest thing to get right in Rates Quant recently (2019)?

What are the biggest challenges for Rates Quants in 2019? Most quants have been through a lot over the past years-shifting their SABR models in JPY swaptions, fixing the FVA models for negative rates, ...
14
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2answers
11k views

How to calibrate Hull-White from zero curve?

I am interested in calibrating a Hull-White model to the market. I do not, however, have data on anything except the market zero curves, as all derivatives are being traded OTC. My plan is to ...
12
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4answers
11k views

How to get list of all CUSIPS/ISIN?

I want a list of all CUSIPs/ISINs. It would be nice if they were also categorized (e.g. Bonds/Funds etc). Where can I get such a data?
12
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1answer
5k views

How to estimate probability of default from bond prices?

How do you use bond prices/yields to infer probabilities of default? I would think of it as follows: Create a relationship between default free (e.g., Germany) and defaultable (e.g., Greece) bond ...
12
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1answer
799 views

Hedging long municipal bond portfolio using BMA/SIFMA

A question from one of my members. Anyone have experience hedging a long municipal bond portfolio using BMA / SIFMA swaps? Anything you can share regarding sizing and structuring the swap and ...
12
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2answers
3k views

What is the basis risk between cash and futures government bonds?

I am currently working in a team responsible for maintaining a simple risk application for our bond desk and I am interested in knowing how to provide some sort of basic basis risk metric. Our desk ...
11
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1answer
1k views

Pricing Treasury futures

I've recently learned that at the delivery of Treasury futures the short side can decide which of the $n$ Treasury bonds (with relevant maturities) to deliver. If the short side chooses to deliver the ...
11
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1answer
487 views

Do people use unbounded interest rate models, and what alternatives exist?

A simple interest rate model in discrete time is the autoregressive model, $$ I_{n+1} = \alpha I_n+w_n $$ where $\alpha\in [0,1)$ and $w_n\geq 0$ are i.i.d. random variables. When working with ruin ...
11
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1answer
297 views

How to handle coupon payments when pricing a bond with an embedded option?

I'm using a binomial tree to price a bond that has an embedded call or put option. On every node that has a coupon payment, do you include the coupon payment then max/min out the value, or do you max/...
10
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2answers
3k views

Why is the SABR volatility model not good at pricing a constant maturity swap (CMS)?

I have heard that the SABR volatility model was not good at pricing a constant maturity swap (CMS). How is that?
10
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1answer
751 views

How to build the short end of a zero coupon curve for non-core Eurozone countries?

I am in the process of building zero coupon curves for some countries in the Eurozone. I have the following data sets: Euribor and EONIA Swap rates Bond price and yields The bond prices (and thus ...
9
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4answers
1k views

What is the connection between default probabilities calculated using the credit rating and the price of a CDS?

I'm working on a tool to price Credit Default Swaps. I've already done the standard pricing tools. I'm working on a pricing tool which uses the credit rating for the default probabilities used in the ...
9
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1answer
1k views

Implied forward rates puzzle

Here's an interesting cocktail puzzle related to the term structure of interest rates. One of the primary competing theories for explaining the term structure of rates is the Rational Exepctations ...
9
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2answers
2k views

Can one use options on Treasury futures to hedge a portfolio?

Can one use options on Treasury bond futures to hedge a typical fixed income portfolio? If so, how can one estimate the duration for an option on a Treasury futures contract, and taking this a step ...
8
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3answers
8k views

What is a real world example of negative forward interest rate?

As the title says, I am looking for a real world example where a forward interest rate is negative. Theoretically this is not a problem at all, if I look for a 3M forward interest rate that starts ...
8
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1answer
298 views

Why can CDS indices be used as a bond market index?

I don't understand why the iTraxx indices family, which are credit default swap indices, are in practice often used to gauge the bond market. How are CDS prices related to bonds prices? And what other ...
8
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2answers
431 views

How can we have negative probabilities in finance? Can we have negative payments in bonds? If not, how else can we have negative probabilities?

In Half of a Coin: Negative Probabilities, the author mentions bond duration. Suppose we have payments at times $t = 1,2,...,n$ denoted respectively by $R_1, R_2, ..., R_n$ and the discount factor is ...
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2answers
4k views

Is Duration really the slope of the Price-Yield curve?

When looking at the Price-vs-Yield graph for a fixed rate instrument, we are often told that the duration is the slope of that curve. But is that really right? Duration is (change in price) divided ...
8
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2answers
2k views

Is duration additive? $C_{newDur}=A_{fundDur}w_{a} + B_{fundDur}w_{b}$?

Suppose quantified duration (like Macaulay duration with changing intervals) $Dur = \frac{\sum t_{i} PV_{i}}{\sum PV_{i}}$ and two funds having durations $D_{a}$ and $D_{b}$. You own them in the ...
8
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2answers
686 views

Is there a comprehensive reference book on US fixed income conventions?

In Canadian fixed income markets there is a nice handbook called Canadian Conventions in Fixed Income Markets (PDF). It contains detailed market standard pricing formulas for calculating prices, ...
8
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1answer
737 views

Modified Durations of Different Noncallable Bonds and function of Maturity

I'm hoping someone could help me understand this subject better. Basically I am reading a book and it shows a table ...
8
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1answer
633 views

Issue with OLS Regression for Nelson Siegel Svensson parameters

I have been working on getting input parameters to the Non-Linear Optimization which gives the Nelson Siegel Svensson model parameters and am carrying out the OLS regression as described in this ...
7
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1answer
4k views

Pricing a FixedRateBond in Quantlib: yield vs TermStructure

I am trying to price a simple U.S. treasury in QuantLib, using two methods. The first method calls FixedRatebond.dirtyPrice(...), passing in a YTM and other parameters. The second method involves ...
7
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6answers
306 views

Investment Grade Bond vs Junk Bond, whose duration is larger?

Just wondering how to calculate duration when take credit risk into consideration. I think if duration is calculated as weighted average of cashflow time, and weights are calculated using present ...
7
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1answer
817 views

Bond Convexity Treasuries Futures

I know long duration bonds, on a a single bond basis, exhibit convexity however do treasury futures prices and the 10 yr yield exhibit the same property? Below is a plot of continious ten year ...
7
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1answer
542 views

Do you have a validation set for Libor Market Model implementation?

I'm trying to calibrate a Libor Market Model (LMM) in Matlab with my user-defined function, not their package. I already fitted the market volatilities using SABR but failed to simulate the ...
7
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0answers
77 views

Predicting bond auction result. Should I train separate models for different maturity in face of Data deficiency?

Problem Statement Trying to predict how bond auction result ( in terms of yield ) is different from its forecast (the when-issued yield ). More info:http://www.mortgagenewsdaily.com/mortgage_rates/...
6
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4answers
505 views

Term premium 10 year yields

There's a lot of headlines about term premium. If I understand this correctly, term premium compensates investors for holding a longer maturity bond vs rolling over short-term bonds. So as an example,...
6
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3answers
3k views

Treasury Bond Yield Curves in R

Does anyone know if I can access interest rates series from the treasury using R? I tried yahoo! Finance and it doesn't seem to have this kind of information.
6
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2answers
1k views

Why is there a price difference between 30 year principal and interest STRIPS?

Sorry if this is obvious, I am not a professional. I like to trade 30 year treasury zero's. I have noticed that the price for a 30 year principal payment is never the same as a 30 year interest ...
6
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2answers
1k views

Closed-form formula for approximate maximum duration of a bond?

In teaching myself about bonds, I am writing some software, one piece of which will calculate the maturity of a bond given the yield curve as a function and a requested duration. The tricky part is ...
6
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2answers
485 views

How do bond pricing formulae differ between the US, UK and the Euro zone?

Let's restrict the scope of the question a little bit: I'm interested to learn about major differences in pricing formulae for nominal government bonds. The pricing formulae for inflation-linked bonds ...
6
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1answer
633 views

Definition of gearings, spreads and curve in RQuantLib's Floating Rate Bond function

Consider the RQuantLib package function FloatingRateBond(). This takes as inputs gearings ...
6
votes
1answer
698 views

How to value a floor when a loan is callable?

Certain bank loans pay a spread above a floating-rate interest rate (typically LIBOR) subject to a floor. I would like to find the value of this floor to the investor. Assume for this example that ...
6
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2answers
6k views

Best method for interpolating yield curve? [Multiple questions]

I'm building a spot curve for US Treasuries. My original selection of cash treasury include all the on-the-run bills, notes, bonds from 6 months to 30 years, as well as some selected off-the-run ...
6
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2answers
118 views

Relationship between BBB credit spreads and rising interest rates

A stylized fact in markets seems to be that there is a negative correlation between interest rates and corporate spreads - as interest rates rise, spreads tend to tighten and vice versa. I'm ...
6
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1answer
2k views

About Option Adjusted Spread, rate curves and bonds comparison

I have few questions about using OAS as a measure of risk: does OAS allow for comparison between bonds with and without embedded options (e.g. a callable bond against a plain vanilla one against a ...
6
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1answer
5k views

How to calculate US treasury total return from yield?

I'm struggling to understand the meaning of US treasury total return. What is easily available to get is yield data. Yield can be directly translated to the bond price at that time. In other words, ...
6
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2answers
13k views

question regarding carry & roll of a bond

I have a simple (and might be a dumb) question regarding the calculation of a bond's carry. If someone doesn't take into account cost of financing (e.g. the repo rate) then the bond's approximate ...
6
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1answer
4k views

Correct way to calculate bond's Yield-to-Horizon

I'm creating some .Net libraries for bond pricing and verifying its correctness with a bond pricing excel spreadsheet (Bond Pricing and Yield from Chrisholm Roth) but I believe it calculates the Yield ...
6
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1answer
454 views

Wrong discount factors when finding Nelson Siegel Svensson model 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. Some of the code I have written is below and this is where my ...
6
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1answer
146 views

Should we apply practical constraints on the distribution of monte carlo paths?

to limit interest rate paths to a 'reasonable' range (if we could define reasonable). Now we calibrate log-normal skew and mean reversion monthly to robust basket of atm swaptions and in and out caps....
6
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1answer
758 views

What are some simple algorithms for hedging vanilla bonds?

My team will soon be implementing an auto hedger for our bond trading desk which will be integrated tightly with our risk application and I am interested in researching how this may work. Any advice ...
6
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0answers
403 views

Callable bond price sensitivity to Hull-White volatility changes

I'm using classic Hull-White model for short term interest rate dynamic: $$dr(t)=[\theta(t)-\alpha(t)r(t)]dt+\sigma(t)dW(t)$$ (Notation is quite intuitive, anyway I am using the same as Wikipedia ...
6
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0answers
299 views

How are quants able to verify whether their calculated prices are any good

This question is related to the discussion on Model Validation Criteria However it appeard to be very high level to me and I would like to go more into detail. Not working at a pricing desk the ...
6
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0answers
400 views

is there a mapping from Altman Z-score for private companies to bond ratings or probability of default?

On wikipedia, there is a formula to calculate the Altman Z-score for private companies: Z-score estimated for private firms: T1 = (Current Assets − Current Liabilities) / Total Assets T2 = Retained ...
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4answers
2k views

What are some of the best textbooks on Fixed Income securities?

I'm looking for something that might be considered the 'Bible' of fixed income. Ideally it would contain everything from the basics of PV and discounting cash flows all the way up to some of the most ...
5
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2answers
346 views

How do bond traders get all the different moving parts?

I've been working with this trader and every time he explains something to me, it sound like foreign language. There's so many things going on. I'm a graduate analyst on the bond trading desk and I ...
5
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3answers
3k views

Does the debt load affect the volatility of equity?

Does the debt load of a company have an impact on the stock price of a company and its volatility? Also, how does the market react to the announcement of a company issuing bonds?