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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0answers
10 views

Cash flow mapping on multi curve framework

I am trying to map cash flows according to FRTB pillar dates, on an Interest Rate Swap fixed Vs Euribor 6 months. Using the sensitivity preserving approach, under the OIS framework, this has to be ...
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160 views

Show that a zero-coupon bond discounted by a bond with mautrity $T$ is a martingale under the $T$-Forward measure

Here's the exact question: Show that for any $s>0$, $\frac{P(t,s)}{P(t,T)}$ is a $Q^T$-martingale. Here's my attempt: Let $t^\prime < t$. First consider the case $s>T$. \begin{aligned} \...
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5answers
262 views

What assets other than bonds are risk free?

I saw a question the other day that said Assume you have only two assets to build a portfolio. Name and explain three scenarios under which a completely risk-free portfolio can be formed? I ...
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2answers
118 views

Extracting the OAS out of an MBS?

I was reading about OAS and I'm wonder how one could "extract" (or "capture") the OAS out of a product by hedging out all the other risks. One of the explanations I got from OAS ...
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0answers
50 views

What is “risk-hit ratio”?

In this article https://www.risk.net/awards/7741391/flow-market-maker-of-the-year-citadel-securities describing Citadel Securities the market maker, it says The firm’s electronically executed US ...
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1answer
147 views

OIS Fixed Rate - how to calculate on trade booking?

I am trying to understand how the Fix rate on a OIS trade is calculated at trade initiation. I understand this process for a Fixed V LIBOR trade non collateralized ( discount and projection curve are ...
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3answers
92 views

Carry and Pull to Par of a bond

I am of the understanding the true carry of a bond is yield - repo rate. And not simply coupon + repo cost because this doesn’t ...
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0answers
38 views

What does a electronic dealer track in a RFQ market?

If you have mid price for rfq market in fixed income. What is the internal order book tracking at a bank? Customers dont place limit orders or do they? There arent any other market makers on your ...
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2answers
172 views

Is this simple model used to calculate the interest rate duration and credit duration of a floating rate note? Other models?

I found this model for floating rate bonds in a book I am reading and I am wondering if it is used anywhere in practice? $$MV=\frac{\frac{(Index+QM)\cdot FV}{PER}}{\left(1+\frac{Index+DM}{PER}\right)^...
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1answer
305 views

Yield Curve Flattening Trade

Relatively simple question, but came upon it in class and have not been able to come up with an answer: The two-year bond yield is equal to 4% while the 10-year one is equal to 10%. You want to put ...
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1answer
64 views

How is the “constant maturity” 10 year treasury calculated?

The Fed’s historical chart of the 10 year treasury yield is titled “10-Year Treasury Constant Maturity.” How exactly is the yield calculated?
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2k views

Calculating the Macaulay duration of a floating-rate bond

I am new to the pricing of bonds: Suppose that I would like to price a floating-rate bond with par value \$100, with maturity at $T$ years from now, paying coupons semi-annually. Suppose that $r_{n-0....
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1answer
105 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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1answer
23 views

How do I calculate the bond index in case of the presence of corporate actions? to prevent a change in the value of index due to corporate actions?

I want to make index for the bond market, I read several methodologies and I didn't find a divisor in the equations used for bond index calculation. As i know from the stock indices that a divisor is ...
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69 views

What are some advanced methods for bond risk transformations?

Consider a portfolio of bonds within a given yield curve (e.g. Gilt curve), consisting of positions in every bond in the curve. I'm looking for ways to transform the risk of the portfolio into ...
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36 views

How is Inverse Super Floater built?

I am pretty new to fixed income and came across to a product called Inverse Super Floater. I am wondering, what are the components of this product assuming issue price of 100 (redemption amount of 100 ...
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1answer
50 views

Day-Count-Conventions T-bills, T-notes and T-bonds

I have a question regarding the day count conventions for T-bills, T-notes and T-bonds. So far I haven't found an official page that clearly states which method is used and I don't own bloomberg etc. ...
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39 views

Nominal bond yields vs. TIPS yields?

I am struggling with understanding the difference in yields between nominal bonds and inflation-adjusted bonds. With inflation adjusted bond like TIPS, every coupon payment in addition to the face ...
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3answers
94 views

TIPS (Treasury Inflation Protection Security) Information

I've recently been learning about TIPS and their role as an inflation protection instrument. If you buy a TIP even when it has a negative real yield-to-maturity, is it still possible to have a ...
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46 views

How to convert 3-month ED to 6-month LIBOR?

I know 3-month Eurodollar future prices and need to convert it to 6-month LIBOR. I calculated the 3-month LIBOR as : (100 - ED price) / 100 How to continue from here? Thanks for the help. Edit: I can ...
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83 views

How accurate is YTM as a reference measure of non-holding-to-maturity return?

We need to offer an estimated return of a non-hold-to-maturity strategy. Essentially, we borrow money from the market and buy a bond. Instead of holding the bond to mauturity and locking in a return ...
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1answer
63 views

Bond's price expressed as a % of par

the following is causing a bit of confusion... In some countries, e.g. Brazil, I saw the bonds are quoted in "Unitary prices" (PU). If we pick an example where: ...
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2answers
439 views

What is a central bank's shadow rate

I was reading a WSJ article about the European Central Bank shadow rate, which is -5.1% at the moment. The article says about the shadow rate that "Calculated with the rates on longer-dated credit ...
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24 views

Carry and expected return of a short bond basis position

If we assume net basis is 0, the bond trades above par, the bond’s yield > than the term repo rate, what is the expected pnl of being Short the ctd vs long futures? I would have thought the ...
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31 views

Euribor + margin

I have this bond assigment where I have to calculate the CF each quarter, given a constant EURIBOR3M rate of -0,539%. There is also a 1,6% margin per annum that I have to take into account. The ...
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1answer
32 views

yield vs OAS for floaters

I am wondering what metric is better at incorporating credit risk, is that OAS or effective yield for the floater coupon bonds? What intuition each of them carries out? When would I use or the other ...
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68 views

Is the price of the following inflation derivative observed/traded?

Let $M_{t\to t+2}^{\\\$}$ be the pricing kernel (SDF) from period $t$ to $t+2$. Let inflation over period $t$ to $t+1$ be denoted by $\Pi_{t \to t+1}$. Is it possible to observe the following quantity ...
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2answers
101 views

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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1answer
40 views

Using compound interest rate in wrong way

I will explain the problem with an example. Today (14/03/2021) y agree a Zero-Coupon Mortgage with a nominal of a milion dolars an with an annual interest rate compounded annualy and with an ACT/360 ...
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1answer
49 views

What are the eurozone bond indices? And where can I find them?

I am trying to calculate the performance of a portfolio of fixed-income funds domiciled and operating exclusively in Europe through a multi-factor model. To do this I need historical data of several ...
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1answer
136 views

Discount margin on FRN - widening but bond price increasing?

Why would a bonds discount margin widen but its price increase? Shouldn't the price be falling when margins are widening? Looking at the bond pricing formula, if the price is higher doesn't the rate ...
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3answers
92 views

OHLC Data for US Govt. Treasury Yields?

Is there open-high-low-close data available at the daily timescale for yields? The data I can find from the Federal Reserve reports only one price, and moreover, I'm not sure when the data is reported....
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1answer
91 views

Bond whose amortization scheme initiates at a later time in its life?

Is there any type of bond whose amortization initiates at a later time in its life? For example the first year we observe interest-only payments and after year 1 there initiates an amortization ...
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47 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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1answer
62 views

Breaking out Swap curve + z-spread from a bond

A colleague mentioned the following: She wanted to look at some bonds in Reuters/Bloomberg to see if they if they "correctly break-out the swap curve and z-spread". Would anyone understand ...
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2answers
57 views

How are repo rates / repo haircuts determined?

Sorry if this question is a little too basic but what determines repo rates? Not like "they are OTC transactions so they are determined directly between counterparties" but like what is the ...
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1answer
39 views

Can both good buying and good selling cause a bond to go special on repo?

A bond is known to go special when its repo rate gets particularly low relative to the GC (General Collateral) repo rate. In my mind, this can be caused by two scenarios: 1. Institutional interest to ...
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1answer
90 views

What are the practical costs of repo for a bond trading desk?

I appreciate what a repo/reverse repo transaction is, but I'm struggling to understand exactly how the cost of funding trades via repo works from a practical point of view for a bond trader. Current ...
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0answers
26 views

Cross-checking Treasury's Major Foreign Holders Report

I was looking for bad things waiting to happen on the Ides of March, and the next Major Foreign Holders of Treasury Securities report came up as a candidate. It is due on March 15th, 2021. The report ...
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2answers
205 views

What is the best way to interpret changes in Treasury yields?

My question is quick and simple. However, I would like to use this answer to further my understanding of bonds and yields. If the YTM on a 10yr Note yesterday was 1.00% and the YTM on the same 10yr ...
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1answer
76 views

Why do a callable bond always have higher yields?

In an american callable bond there is an expectation for the issuer to prepay its debt prior to maturity. I understand that this reduces it's value and therefore, higher yield. But another way to ...
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1answer
108 views

Why pension and insurance hedgers push the long end of the curve down

It is sometimes said that “pension and insurance hedgers push the long end of the curve down” Explain how this happens and why- what are the connected steps? What do these players do and why? How does ...
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70 views

Bond yield with known DV01

Is there a way to calculate the yield of a bond knowing the DV01 and duration (numerical values) and knowing all other parameters of $V$ (maturity, coupon, etc.)? $$DV01=-\frac{\partial V}{\partial y}$...
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3answers
80 views

How to calculate a Corporate Bond Transaction Price (Bond returns?)?

I am struggling with the concepts and variables of corporate bonds returns. Bai, Bali and Wen (2019) define monthly corporate bond returns as: Where where is transaction price, , is accrued ...
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1answer
161 views

What discount rates should I use to price a municipal bond with unknown market price?

I have a payoff structure but I do not know the price of the bond. The bond is municipal. What discount rates should I take for each period in order to calculate its fair price?
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30 views

UK Government Debt Statistics

I would like to find some stats regarding UK Government debt. Any leads ? I am looking for following questions Debt / GBP ? ( Got it already ) Debt profile ( by maturity, instrument) New debt ...
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34 views

Simulating a square root process with jumps for mortgage defaults

I am trying to simulate the paydown of a large pool of mortgage loans. For each monthly period, I am reducing principal by the scheduled principal payment (approximated by the WAC of the underlying ...
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3answers
333 views

How can a deep discount bond with a longer time to maturity have a LOWER duration than an otherwise identical bond with a shorter time to maturity?

Here is a brief excerpt on the fixed income chapter from the 2020-2021 level 1 CFA curriculum: Generally, for the same coupon rate, a longer-term bond has a greater percentage price change than a ...
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2answers
202 views

Why does the coupon effect mean that higher yields do not necessarily mean that a bond is more attractive?

In Tuckman, it says "The fact that fairly priced bonds of the same maturity but different coupons have different yields-to-maturity is called the coupon effect. The implication of this effect is ...
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1answer
74 views

Are government bond yields usually expressed as yield to maturity (YTM) or annual yield?

If US 10yr = 2%, does it mean if I hold the bond until maturity/for next 10 years the yield is 2% or I get an annual return of 2% for 10 years? For example the yields in the link: https://www....

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