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 ...
9
votes
2answers
1k 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?
8
votes
1answer
394 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 ...
7
votes
3answers
239 views
What is the relationship between Forward measures and LMM?
I am reading the book "Term-structure Models: A Graduate Course" by D. Filipovic. In chapter 7 they define the $T$-Forward measure through the density process
...
7
votes
1answer
332 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 ...
7
votes
2answers
475 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 ...
7
votes
2answers
129 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, ...
7
votes
1answer
120 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 ...
7
votes
1answer
270 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
...
7
votes
1answer
843 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 ...
6
votes
4answers
6k views
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 ...
6
votes
2answers
218 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
votes
2answers
606 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?
6
votes
2answers
511 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
votes
3answers
1k 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 ...
6
votes
2answers
688 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 ...
6
votes
1answer
1k 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 ...
6
votes
2answers
568 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 ...
6
votes
1answer
335 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 ...
6
votes
1answer
232 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 ...
6
votes
1answer
129 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 ...
5
votes
4answers
468 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 ...
5
votes
1answer
210 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 ...
5
votes
1answer
697 views
How would I value a perpetual bond with an embedded option?
I am trying to work out how to value the following transactions. It should be straight forward, since it breaks down into a series of well known instruments, yet I am not sure how to evaluate it:
...
5
votes
1answer
178 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 ...
5
votes
1answer
219 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 ...
5
votes
1answer
303 views
Can duration gap analysis be applied to mortgages?
Can a mortgage loan be treated like a bond and its duration calculated using the bond duration formula? More precisely, can I calculate the loan portfolio duration for duration gap analysis, with ...
5
votes
1answer
314 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 ...
4
votes
3answers
628 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?
4
votes
1answer
240 views
VaR for corporate bonds
I am trying to create a simple risk calculation for the portfolio (ignoring correlations for the moment). I have some corporate bonds with limited daily price changes. Any one have ideas how I can get ...
4
votes
1answer
232 views
Pricing a bond future with a basket of deposit futures
I have a future on a two-year UK government bond that I wish to price. The bond future expires in 3 months. I was thinking of building a portfolio of 3-month deposit futures (1 x 3 month deposit ...
4
votes
1answer
349 views
Discrete time Ho lee model
This is my first question in this forum. I am stuck with my current testing the Ho Lee model. I am having difficulty computing the perturbation factor $\Delta$.
The ho lee model should be completely ...
4
votes
1answer
676 views
What is the replicating portfolio of swaptions for a constant maturity swap (CMS)?
How do you replicate the payoff of a constant maturity swap rate?
That is, if the payoff of a contract pays the 5-year swap rate every year for 10 years, how would you replicate this payoff using ...
4
votes
1answer
102 views
Reasonable Hull & White parameters
I am using a Hull & White model to simulate forward rates on US swap curve from the 1.10.2012. This is a part of a bigger picture, and I am interested in some reasonable values for the parameters ...
4
votes
0answers
357 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 ...
3
votes
3answers
200 views
What's the algorithm behind Excel's ACCRINT?
This question was originally posted on Stackoverflow:
As part of the Formula.js project, I'm trying to re-implement Excel's ACCRINT function (in JavaScript, but the language should not matter). I've ...
3
votes
2answers
158 views
Is it true that pricing an IR swap doesn't require any stochastic model but calculation of the PFE of an IR swap would?
Pricing an IR swap doesn't require any stochastic model but calculation of the PFE for an IR swap would require the Hull White Model or any other stochastic short rate or forward rate model.
Is ...
3
votes
1answer
82 views
Do Bond Put Dates always fall on Coupon Dates (for non-zero coupon bonds). Calculation rules for Coupon Dates
This may not be the most appropriate SE site to ask this question, but I can't seem to find a better place to ask, so here goes:
Do Puttable Bonds' put dates always fall on Coupon Dates? When they ...
3
votes
3answers
414 views
What are the limits of bond portfolio immunization against interest rate changes?
I'm currently reading through an article on bond portfolio immunization against changes in the interest rate.
I learned that the immunization can be done against instant changes in interest rate ...
3
votes
1answer
248 views
Which approach is better for modeling option exercise strategies, rational or behavioral?
This question is most relevant to the evaluation of embedded options, such as the refinancing option granted to borrowers in the mortgage and bank loan markets, or the call option present in some ...
3
votes
2answers
197 views
How to calculate discounted inflation and growth?
Given the nominal bond yield and the inflation index bond yield (earning yield), how would one calculate the discounted inflation rate (discounted earning growth rates)?
These two factor seems to ...
3
votes
1answer
207 views
How do I backfill the price of bonds for backtesting?
I need to backfill the price of bonds for testing a startegy.
The method employed is:
Regressing the YTM of the bond against a benchmark.
Using the regression estimates to calculate the YTM for the ...
3
votes
0answers
60 views
RQuantLib: any difference between FixedRateBond() and FixedRateBondPriceByYield() with flat term structure?
Please, consider the following functions from RQuantLib package:
FixedRateBond()
...
3
votes
0answers
63 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 ...
2
votes
2answers
101 views
RQuantLib, Hoadley and Bloomberg YAS: fixed rate bond pricing differences?
I'm trying to price a fixed rate bond one year from now on.
The bond is the PEUGOT 7 ⅜ 03/06/18, whose ISIN code is FR0011439975. I'm using such a specific example because in this way everyone can ...
2
votes
3answers
200 views
What is the clean price and dirty price of a risky bond?
Following up on this question: Yield of a risky bond, what is the definition of clean and dirty prices for a risky (defaultable, catastrophe, etc.) bond?
I would think the dirty price should ...
2
votes
2answers
415 views
Interpretation of Macaulay Duration
I am having a difficulty conceptualizing the meaning of "Macaulay duration" - I want to note I completely understand the math, this isn't the issue. Modified duration & Efficitive Duration make ...
2
votes
1answer
152 views
Do bond credit ratings suffer from “ratings inflation”?
A friend of mine who studies game theory suggested that credit ratings from the bond ratings agencies, such as Moody's, S&P, and Fitch, may suffer from a sort of "ratings inflation" similar to the ...
2
votes
1answer
150 views
Risk Decomposition of Index linked Bonds
Do you know how to decompose the risk of index linked bonds?
To value a inflation linked bond, one plugs the real zero curve into the bond PV calculation, the real interest rate is as the fisher ...
2
votes
1answer
230 views
desk's performance
I need your point of view in evaluating the monthly performance of a desk.
I have the daily
credit risk capital requirement (A);
the net banking income or GNP (B).
What is the best measure of ...
2
votes
1answer
167 views
Where can I find corporate bond spreads?
I am trying to price a 30 yr bond maturing in December 15, 2035. The bond is rated A- (S&P). Where can I find the spreads for corporate bonds rated A- maturing in 23 years (December 2035)? I ...
