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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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Derivation of CIR interest rate model [duplicate]

I am trying to understand the derivation of the Cox-Ingersoll-Ross interest rate model. This has a stochastic differential equation of the form $$dr=(\eta-\gamma r)dt + \sqrt{\alpha r} \space dX$$ ...
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2answers
158 views

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 ...
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85 views

Duration of a FRN in continuous time interest rate model

This question was inspired by my attempt to understand the duration of a floating rate note, or FRN for short. Several answers, like this, say the duration of a FRN is just time to next coupon payment....
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110 views

What is the value/price of a bond paying floating rate

I am going through J.C.Hull for swaps. Where he says we can value a swap using bonds. Let $B_{fl}$: value of floating rate bond, $L$ notional principal. Why is $B_{fl} = L$ just after a payment ? What ...
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80 views

Convertible bonds pricer - implementation

Where I can find numerical implementation (in any programming language) of convertible bonds pricer based on the following article: E. Ayache, P. A. Forsyth, K. R. Vetzal, "The Valuation of ...
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2answers
78 views

Calculating excess returns

I would like to know if I am calculating these excess returns correctly. I have here an R dataframe with weekly 3-month treasury bill rates, and the arithmetic ...
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1answer
446 views

Swap Curve and Forward Libor Rates

How does the (interest rate) swap curve incorporate forward libor expectations?
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1answer
169 views

Why do Treasury Futures settle at maturity with higher yield-to-maturity than the corresponding spot rate? [duplicate]

Absolute beginner on bonds, trying to understand why spot rates seen for US-T don't seem to line up with CME futures for ZT/ZB/etc at their maturity. For instance, ZB-U8 seemed to settle at 140-27 on ...
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44 views

Lottery calls on municipal bonds

I'm trying to independently price several municipal bonds with lottery calls. Based on market prices/yields I can tell that the price, ytw, etc. is not based upon the first viable call. What is the ...
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1answer
48 views

Bond and Stock Relationship

Is there any formulair relationship between the price of a corporate bond and the stock on the same company?
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0answers
38 views

Using above par zero coupon bond to build a zero coupon curve

Should I discard bonds above par (zero coupon bond with market price over par value) when I build a zero coupon curve? Most of the academic textbooks use bonds below par as inputs to build Zero ...
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2answers
140 views

How should we calculate the duration of a convertible bond?

For callable bonds we can use the effective duration to approximate the modified duration, since the future interest rates will affect the expected cash flows. For convertible bonds the underlying of ...
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3answers
149 views

YTM of “very-seasoned” bond issues

There is a liquidity premium between on-the-run treasury issues and off-the-run issues with similar characteristics. This is why when building a yield curve, typically on-the-run issues are used to ...
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Strategy in steepening curve environment, stable spreads - HotS interview problem

The following problem was found in "Heard on the Street": You construct a yield curve for (coupon-bearing) treasuries. A particular five-year corporate zero-coupon bond has a default risk ...
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1answer
82 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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1answer
70 views

how to change the value set by the addFixing method in QuantLib

Suppose we have had constructed an index for forecasting future interests of a floating bond, and as suggested by the official document, I used addFixing method to set a past fixing for the current ...
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1answer
149 views

Why Arent There Long Rate Models?

You have short rate models, https://en.wikipedia.org/wiki/Short-rate_model, but there doesnt seem to be any long rate models. I find this weird as in options modelling you model the whole smile, not ...
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1answer
192 views

Hedging Ratios for Fixed Income Instruments

If you buy a corporate bond and you want to hedge the interest rate risk, how would you know how many interest rate futures/swaps to hedge the bond with? The same with an MBS security, if you want to ...
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31 views

Pricing European Call on Coupon Bond in Lattice

What's the best approach to pricing a par call option on a coupon paying bond? Is it to discount the greater of the price and strike through the lattice? And for this, is the price used the dirty or ...
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2answers
212 views

How to calculate implied repo of a hypothetical bond that has not been issued?

I want to calculate the implied repo to a delivery date for a series of bonds that have not been issued yet. Do I make assumptions about the bond yields on some trade settlement date and the futures ...
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1answer
78 views

How to compare bonds in terms of volume traded in Bloomberg Excel Add-in?

I want to compare how much bonds of a handful of companies have been traded over the last years and pick the most traded bond for each company via the Excel add-in. One example of what I have tried ...
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1answer
268 views

For a fixed-fixed cross currency swap, can I use a curve with two floating legs to discount the cash flows?

I'm doing a USD to INR fixed-to-fixed cross currency swap. The default curve has a fixed and a floating rate. However, the curve that I'm looking to use has floating rates on both legs. Would this ...
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1answer
143 views

What's the most accurate benchmark index for US corporate and treasury bonds

I'm looking for an index for US corporate bonds and US treasury bonds to benchmark my strategy. I could easily use some ETFs as the benchmark for the recent years but I need data for the time range <...
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1answer
108 views

Credit Spreads and Relative Value : floating vs fixed bond

I would like to study if, in these weeks during the italian credit crisis, floating govy bonds were more resilient than fixed govy bonds. For each floating issue (CCTS) I chose the fixed issue with ...
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0answers
62 views

A basic question about short-rate models

Sorry, if it's a very rudimentary question. I mainly practice tax but have to deal with financial transactions from time to time where I have to benchmark option prices. I have usually used Hull's ...
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1answer
76 views

Repo advantage relative value (Treasury) [duplicate]

If a Treasury issue is trading special (100bp repo advantage vs GC in overnight repo), and it's worth -10bp in carry (assuming duration is 10) and the error to the Treasury spline is -5bp, would this ...
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2answers
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Australian Treasury Bonds - Price Calculation with Accrual

In this document ASX Interest Rate Derivatives (on page 7) the Australian Commonwealth Treasury Bond (paying semi-anually) is valued as $$ P = v^{f/d} \cdot \left(\frac{c}{2} + \frac{c}{2}\cdot\sum_{...
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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 ...
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3answers
153 views

What are the impacts of the discontinuation of benchmark Interest Rates?

I was wondering what the impacts of Interest Rates benchmarks (LIBOR/EURIBOR) discontinuation might be on the Quants side ? Do you know if there are articles/discussions providing an analysis grid of ...
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0answers
46 views

Extension of HJM to multiple factors

The HJM model calibrates the entire forward curve using the existing yield curve data and this results in the following expression for its instantaneous forward rate- $$df(t,T)=\sigma(t,T)\int_0^T\...
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1answer
167 views

How to compute bond drawdowns?

I came across a very interesting article which shows a picture with the drawdowns bondholders would have faced by investing in Fixed Income since 1919. The data is based on the Moody's seasoned AAA ...
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1answer
234 views

Calculating PnL on Swap Spread Trade

Say I am a long a 10Y US govt. bond and short (i.e., pay fixed) a 10Y US IRS. The swap spread moves, for example, from -0.25 to -0.3. What do I need to calculate P&L (approximately)? Are such ...
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1answer
57 views

Fallback Interest rate volatility for OAS model

The Bond OAS computation model used in our bank (The model was created in the 90s and the people who worked on it then are no longer part of the company) uses a fallback interest rate volatility of 27....
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102 views

Effect of volatility on Option Adjusted Spread

In the calculation of the Option Adjusted Spread, what effect will increasing the volatility have on the OAS number. The volatility only determines the ratio of the interest rates of different nodes ...
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2answers
266 views

why the implied repo rate is higher when choosing the last delivery date to deliver rather than first delivery date

there must be something very basic that I did not get.... I am reading a book. And it says the implied repo rate is defined as IRR = ( invoice price / cash bond price - 1) * 360/ n, where is the ...
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67 views

repo rate v.s. reverse repo rate

from a book, I read that repo rate is usually higher than reverse repo rate. i.e., the rate to financing a long security position is higher than the rate to lend cash using securities as collateral. ...
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62 views

OAS of a perpetual bond

How is the OAS (Option Adjusted Spread) of a perpetual bond with embedded option calculated? My specific point of doubt is the maturity that has to be used to construct the binomial tree for ...
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2answers
150 views

Difference Between FRA and IR Future pricing [closed]

[original question was to know the difference between IR fut and FRA] Turns out that FRA and IR Futures are just the OTC and Futures counterpart of the same underlying, that is, the interest rate. ...
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63 views

Adjusting for term structure of repo rates to get apples to apples picture

I'm looking at term repo rates and need to get a measure that removes the curve component so I can make an apples to apples comparison. I think the concept is similar to taking two Treasury bonds and ...
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2answers
864 views

How to adjust butterfly 2s5s10s swaps trade for directionality?

I am looking into a 2s5s10s swaps idea using a 50-50 weighting scheme, where it's 2 times the 5 year minus the 2 year and 10 year. However, there is a correlation between the butterfly spread and the ...
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1answer
125 views

why the financing cost of a bond is repo?

In a repo transaction, the cash borrower pays an interest in repo rate for borrowing the cash. On the other hand, the cash lender gets a bond as collateral. In this transaction, it looks like the ...
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1answer
81 views

what is the underling of treasury bond future contracts? and what determine/drives bond future's theoretical/market prices? [duplicate]

Am I right that the underlying is a basket of deliverable bonds? If this is the case, how is the bond future prices actually determined? If there was only one bond in the deliverable set, the bond ...
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100 views

Chat bot for traders [closed]

In the framework of my internship at a bank, I want to write a chat bot program in Python that allows our bond traders via their Bloomberg terminal chat box application to type in structured command ...
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1answer
352 views

What is the formula for the forward price of a inflation linked bond assuming there are coupons in the interim period and the deal is collateralised?

t2=forward settlement date P=Spot clean price AI0=Spot accrued interest r=repo rate t1=coupon payment date AIt2= accrued interest of the forward settlement date t0= now Proceeds Method: F(t2)=(...
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Bond Data on UK corporate

I have got data from FRED on Moody's Seasoned Aaa Corporate Bond Yield. Does anyone know where I can get such UK data on this? If not, would using exchange rates and the interest rate parity theorem ...
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1answer
63 views

Where can I download 10 year Treasury prices in OHLC format?

I'm looking for treasury prices (not yield) in OHLC format. On websites like this you can see it has intraday data, so we could drive an OHLC from it? But I can't find a website that lets me download ...
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2answers
192 views

How to change the YieldTermStructureHandle's referenceDate in QuantLib

Suppose we have already known the dates and rates of a spot rate curve, and I passed the data to the ZeroCurve class to construct a discount curve for bond pricing. What I wanna find is how to change ...
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3answers
144 views

Treasury spline curve, practical question

Wouldn't fitting a spline curve against 300+ Treasury bonds be similar across the street? I know there's different ways to fit/interpolate points to create a spline curve and I understand that every ...
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1answer
77 views

Macaulay's Duration with Zero Rates

The definition of Macaulay's Duration is the weighted average maturity of cash flows and is calculated as- $$D_{mac}=\frac{\sum_ttPV(C_t)}{V}$$ where $PV(C_t)$ is the present value of the cash flow ...
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87 views

Factor Model - Fixed Incom

I am reading Bloomberg's fixed income fundamental factor model doc. And they define their curve factor (motivation for this factor: most fixed income securities' prices are largely impacted by the ...