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 ...

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3
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1answer
53 views

What is drift in interest rate term structure model

I was studying about the interest rate term structures and i came across term structure model with (and without) drift. I am really unsure about what this drift is in this equation for term structure ...
7
votes
1answer
164 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 ...
1
vote
1answer
394 views

Convexity adjustment

I have a problem with the underlying assumption in the future/forward convexity adjustment. If I understand correctly, the assumption is, if I am long ED, I earn money when rates go down and invest ...
0
votes
1answer
21 views

Bank discount yield and money market yield

I have a question regarding Bank Discount Yield and Money Market Yield for US TBill. Some books mentioned that ...
0
votes
1answer
41 views

Why QuantLib assumes zero rates to discount factor is continuous?

https://github.com/lballabio/QuantLib/blob/0ec43027834220baf0a554d68de79a159a2c5489/ql/termstructures/yield/zeroyieldstructure.hpp ...
2
votes
3answers
4k 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
2answers
410 views

Key Rate Duration for MBSs greater than Key Rate Tenor

Key Rate Durations (KRD) are essentially some fixed income instrument's price sensitivity to a non-parallel shift in interest rates (i.e., a shift at the "Key" Rate). For example, a 10-year bond's ...
-1
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0answers
19 views

US Bond vs Russian Bond [closed]

From a neutral point of view : Do you prefer investion in a US Bond or Russian Bond ? I would say US Bond !! But is there any strong argument that permits us to answer ?!
0
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0answers
19 views

Which obligation choose [closed]

I have 6 different obligations: A: coupon 4% Maturity 10 years. B:coupon 4% Maturity 15 years. C:coupon 2% Maturity 10 years. D:coupon 2% Maturity 15 years. E:coupon 0% Maturity 10 years. ...
3
votes
1answer
147 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 ...
0
votes
1answer
31 views

Variance covariance matrix for a portfolio containing bonds also with other asset classes

What should we take for a bond or a zero coupon bond in order to make a variance covariance matrix? For example:- Equities - we take the market price Cash - we take the spot rates Bonds - Do we take ...
0
votes
1answer
41 views

Valuing corporate EUR loan of US entity? Which discount rate to use? US or EU?

If a US entity borrows in EUR and I need to perform a DCF valuation on that borrowing, should I use USD based curve (for the appropriate rating) or EUR based curves? In other words do I use the ...
1
vote
1answer
71 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, ...
3
votes
1answer
162 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 ...
0
votes
0answers
36 views

Bond Convexity: Relationship between discrete and continuous interest rate

The interest rate risk of a bond price $P$ is measured by its Duration: $$D=-\frac{\frac{dP}{P}}{dr}$$ However, the explicit formula for the Duration given a function $P$ is different if $r$ is ...
3
votes
1answer
104 views

Callable bond pricing

I have a HKD callable bond maturing in 2022. the call schedule is bermudan and the next call date is 10/17/16 and redemption price is 100 (the call date is 10/17 every year till maturity). Initially ...
1
vote
3answers
7k views

How is PnL calculated

In Fixed Income, I know that bonds PnL are evaluated depending on where the price lies on price/yield curve at the end of the day, compared to where it started from at beginning of the day. The ...
3
votes
0answers
62 views

Duality of callable bond price

I am trying to understand the relationship between two methods of pricing callable bonds in the risk-neutral pricing framework. Problem statement Let's consider zero-coupon bond with face value 1, ...
1
vote
2answers
142 views

what data to use to compare the interest rate among different currencies?

Very new to fixed income signals. I am a little confused about which data to use to compare interest rate among different currencies. For example, I am interested in compare interest rate in the ...
0
votes
0answers
35 views

Simulated bond index returns based on term structure changes

The J.P. Morgan European Monetary Union Index (EMU) 5-7Y (which is rebalanced monthly) currently (1-Jan-16) has the following characteristics: ...
4
votes
2answers
1k views

What is the best alternative of Quantlib library

We need to build a Fixed Income Portfolio Risk Analytics solution. Somehow due to administrative reason we can't use Quantlib which is written in C++, even call it through SWIG via JNI. We have tried ...
0
votes
1answer
24 views

Fannie Mae and Freddie Mac as substitute benchmark bonds

"The reduction seen in US government debt in the late 1990s has led to a redution in the supply of intermediate and long-term government bonds, and some concern has arisen over this fact. In the ...
1
vote
0answers
33 views

Where can I find bonds time series?

I want to study dependence and correlation between bonds and CDS. I have already found a large CDS database of time series there: www.datagrapple.com I am looking for such a similar database (with an ...
3
votes
2answers
156 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 ...
0
votes
0answers
25 views

Variable coupon Step up Step down bond

How do you price a variable step up step down coupon bond? From my understanding the coupon schedule should already be laid out and these should ideally have a call feature. However, I do have a bond ...
1
vote
1answer
33 views

Derive Perpetual Bond Price

It is known that a perpetual bond with coupon $c$ has price $$P=\frac{c}{r}$$ How do you get to this price? Is $r$ stated in discrete or continuous compounding?
0
votes
1answer
63 views

Duration of perpetual bond

I am trying to derive the duration of a perpetual bond with coupon $c$ in two ways: $$D=-\frac{\frac{\partial P}{\partial r}}{P},$$ $$P=\frac{c}{r}$$ $$\Rightarrow D = ...
0
votes
0answers
16 views

Fixed Income Sec: development of UK bond markets relative to the stock market

I am asked to describe (school project in the course Fixed Income Securities) the development of the UK bond markets relative the UK stock market and I am not sure how to tackle it. I want to compare ...
0
votes
1answer
41 views

Do FRN's *always* trade on par on reset days, regardless if the issuer's credit quality has changed?

I keep reading that floating rate notes trade on par on coupon reset days. Is this always true, regardless of changes in the issuer's credit quality since the FRN was issued? It seems probably ...
1
vote
1answer
48 views

What is the yield when a floating-rate note is issued above/below par?

I am new in this area so all help is much appreciated! Let's say a 3-year floating rate note pays a coupon of LIBOR+100 bps, and is issued at a premium with price = 100.5. I understand that this ...
2
votes
1answer
62 views

Why financial instistution for instance banks lowered down their interest rate during QE?

When QE is carried out, the Federal Reserve prints money and buy government bonds in an effort to pour extra money into the economy. This causes financial institutions for instance banks to lowered ...
0
votes
2answers
71 views

Corporate bond quote convention

I'm not a quant practitioner, but a student so this may be a very simple question. I was of the understanding corporate US bonds were quoted 1/8 increments and US treasuries in 1/32 increments. Such ...
2
votes
0answers
28 views

Expectation of expression with two currencies under forward measure

I'm trying to calculate the expected value, at time $0$, of a cashflow paid at time $T$, resetting at time $t$. The coupon is of the form: ...
-1
votes
1answer
38 views

Finding Discount Bond Matrix in LMM Model C++

I am working on a 1 Factor Libor Market Model (LMM) in C++ and I working my implementation of the formula to find my Discount Bond matrix via the following formula: In the case of my model alpha is ...
1
vote
3answers
92 views

How to get to this answer on Macauley duration?

Can you explain why the answer to the following question is approximately 4.5%: An investor buys a bond that has a Macaulay duration of 3.0 and a yield to maturity of 4.5%. The investor plans to ...
0
votes
0answers
18 views

Flat - time dependant volatility

I've come across this short rate model (I don't know its name, the text simply calls it model 3) which has volatility decaying exponentially over time. $\Delta r= \lambda_t dt + \sigma e^{- ...
0
votes
1answer
48 views

Interest Rate and Price of Assets

I have a very basic question about finance. I know that for an asset, the price is inversly related to the yield to maturity, or the interest rate. However, I have three ways of thinking about this ...
0
votes
1answer
65 views

Duration vs. Convexity Contradiction

A lower coupon bond exhibits higher duration, which means higher price volatility with changing YTM. A lower coupon bond also exhibits higher convexity. However, with higher convexity, bond prices ...
1
vote
1answer
75 views

Difference between DV01 and IR DV01

What is the difference between DV01 and IR DV01? As far as I can see DV01 is at point on the yield curve and IR DV01 represents a parallel shift of the entire yield curve? My understanding is still ...
0
votes
1answer
70 views

Zero Coupon Bond Forward Price

I'm currently working on the Coursera Financial Engineering and Risk Management course. In one of the questions I was asked to build a binomial pricing model for fixed-income securities. Specifically ...
1
vote
0answers
50 views

state space for affine yield curve

i would like to reproduce in R the working paper " Affine free arbitrage class of Nelson Siegel term structure". The authors considering the equation of nelson siegel plus an adjustment term(C(t,T)) ...
0
votes
1answer
1k 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 ...
1
vote
0answers
47 views

affine arbitrage free class of nelson siegel yield curve

I'm studying statistics for finance at university. Last week i read the working paper on "The Affine Arbitrage-Free Class of Nelson-Siegel Term Structure Models". I would like to reproduce in R ...
1
vote
0answers
47 views

How to build a bond model portfolio (Invested in Emerging markets) [closed]

I have to build a model portfolio from the data of a portfolio composed of bonds from Emerging Markets accounted in $ (So exclusively corporate bonds from emerging markets). Do you have any ...
1
vote
1answer
84 views

Swap Rate vs Par Rate

If we calculate the par rate for n periods, why does the nth swap rate equal the par rate? A mathematical formulation would be helpful apart from an intuitive answer. Edit: Example:- A 2 year ...
2
votes
1answer
58 views

How to hedge an off-the-run bond?

Let's say we have an 11-year off-the-run Treasury bond, but we only have access to on-the-run Treasury bonds. How do we hedge?
2
votes
1answer
346 views

What is the hedging underlying of MBS

I am working on hedging agency MBSs using treasury bonds. So my question raise as which treasury bond should more likely be a hedging underlying of a MBS. What is the matching criteria usually for MBS ...
1
vote
0answers
64 views

State of Art - Nelson Siegel Modeling

My idea is to work with dynamic Nelson Siegel models(DNS) on my master's thesis. As I am finishing undergraduation this year I started researching on the subject. I wonder what is being discussed in ...
2
votes
2answers
5k views

What's the intuition behind DTS(duration times spread) in fixed income?

I am having some difficulty grasping the concept of using DTS to measure credit risk. In the equity world, one typical measure of risk is beta, which is quite well-defined as the exposure to a common ...
9
votes
2answers
2k 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 ...