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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1answer
63 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
94 views

CallableFloatingRateBond in QuantLib: just a matter of multiple inheritance?

I would like to know what are the issues related to a possible CallableFloatingRateBond class in QuantLib and to have some hints on implementation. My (very ...
2
votes
2answers
10k views

how to calculate a cross-currency swap in basis pt?

This question has been bugging me for awhile now and I've been trying to find a definite answer, however, no avail... My question, in specific, relates to the USD/CNH CCS rate. From what I understand ...
2
votes
1answer
112 views

Introducing credit risk to an already implemented interest rate model

Do any standard/generic approaches exist on how to extend an interest rate model to incorporate credit risk? The first thing that comes to mind would be to just model the credit spread separately - ...
2
votes
1answer
156 views

Fixed Income free research available online

As from the title, I would like to know where it is possible to find free research focused on fixed income markets' themes and topics, such as interest rates, credit risk related fundamentals, new ...
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3answers
5k views

How to hedge the fixed leg of a swap contract?

I happened to get this question for Fixed Income Swap contract. (let's assume it's it's not cross currency). If the fixed leg is paying 10% interest rate in this contract, but in the market the ...
2
votes
1answer
71 views

How to measure the volatility of illiquid bond with no historical prices

The basket of corporate bonds that I am following barely traded after the issuance. Hence, there is no historical data to estimate the volatility. Can you suggest me a different approach to come up ...
2
votes
1answer
60 views

One state variables implies perfect correlation of returns?

In Vasicek's seminal 1977 paper "An equilibrium characterization of the term structure", he states the bond price $P(t,s)$ is a function of the spot rate $r(t)$, $P(t,s) = P(t,s,r(t))$. He then ...
2
votes
1answer
162 views

Help with integrating stochastic calculus expression from yield curve model

I am very rusty on stochastic calculus, and I am having trouble integrating the following simple term from a yield curve model: $$z(t)=\int_0^t\exp(-k(t-s))dW(s)$$ Any suggestions appreciated.
2
votes
2answers
2k views

How to price a bond without paper during interview?

I heard that this kind of questions appear a lot in the interviews. Here is one I saw from Galssdoor: Price a bond with coupon rate 3%, yield 9% and maturity 10 years. What is the typical way to do ...
2
votes
2answers
2k views

Bond Portfolio Immunization - Duration Matching

**Question is at the bottom** Suppose you have a portfolio of bonds A, B, and C with the following characteristics: (the "Frequency" column is the # of coupon pmts per year and also the # of ...
2
votes
1answer
111 views

Discounting based on instrument type

Suppose we have an asset $A$, and we have modelled the cashflows for this asset to be $\{C_{1},\ldots C_{k}\}$ which occur at time $\{T_{1},\ldots T_{k}\}$. Now the present value of the asset can be ...
2
votes
1answer
212 views

How to perform significance test on transition matrices

Say you have in your hand a transition matrix published by Moody, and you also collected the rating information for a sample of bonds, which you use to form your own transition matrix. How can we use ...
2
votes
1answer
55 views

Attributing change in yield as a result of structural change

Suppose your portfolio has $w_0$ amount of bonds with yield $r_0$. Now you buy additional $w_1$ amount of bonds with yield $r_1$, then buy additional $w_2$ amount of bonds with yield $r_2$. ...
2
votes
1answer
477 views

Pricing credit risky bonds

How do we price credit risky bonds? If I discount the cash flows using LIBOR/zero rates, it won't take the credit riskiness into account. So should I use a rate based on the issuer's credit spread? ...
2
votes
1answer
358 views

Recovery rate in a structured bond

I need to model the recovery rate of a structured bond whose expected cash flows, if the issuer remains solvent, will be very low. For instance, assume that I need to estimate the recovery amount of a ...
2
votes
1answer
597 views

Yield on Fixed income futures

I am trying to get a simplified model of the DV01 for the US 10YR Note futures but I cant figure out what the current yield is. When I back out the implied interest rate on the current TYM3 futures ...
2
votes
1answer
295 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
73 views

Calculating IR sensitivity

I'm trying to figure out how to find IR sensitivity of a bond whose time to maturity of a bond is 2 years. Bond pays 10.875 percent coupons yearly. Duration is 1.8 years. How do you find the ...
2
votes
1answer
117 views

Are there any opensource C# libraries for calculating bond duration and other FI Analytics?

I'm doing some Fixed Income analytics work and wanted to know if there where any opensource C# libraries that I could use in order to avoid writing functions for generic calculations like YTM and ...
2
votes
1answer
71 views

Forward parity in fixed income

In stock and index we have a beautiful forward-spot parity $$ F(t,T) = S(t)\cdot B(t,T) \tag{1} $$ which tells us that to price a forward contract at time $t$ with expiry $T$ we can just borrow ...
2
votes
1answer
224 views

Building curves using onshore or offshore JPY overnight rates?

I am trying to build Japanese Yen interest rate curves. When defining the curve instruments for the 'OIS' (discount) curve (aka TONAR), I am uncertain as to which rate to use for the overnight deposit ...
2
votes
1answer
353 views

Various ways to choose bonds for a butterfly strategy?

What are the various ways to choose bonds for a butterfly strategy? For eg., I already know the most common one i.e., choosing short and long term for the wings (barbell) and the medium term for the ...
2
votes
1answer
175 views

UST Yield Curve Forecasting - Bond Structure Testing

I have a project in mind that I am working on, but have little idea where to start. I am a relative newcomer to python (about 1 years exp.) and limited knowledge of quant finance. What I would like ...
2
votes
2answers
8k 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 ...
2
votes
2answers
3k views

How can you convert the CUSIP of a bond issue to the CUSIP of the company's stock/

As part of a research project I ran a query on the Mergent FISD database using the WRDS website. The output included the CUSIPs of numerous bond issues (>10000). I am using this data to run event ...
2
votes
1answer
894 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 ...
2
votes
1answer
139 views

How to reconstruct a discontinued economic time series such as the Fed's CP rate?

The old 3-Month Commercial Paper Rate (CP3M) on FRED was discontinued in 1997. I would like to reconstruct this series in a reasonable fashion, so I can use it to analyze more recent events. I was ...
2
votes
0answers
56 views

Why does a barbell portfolio have higher convexity than a bullet porfolio

I cannot quite understood absolutely why a barbell portfolio has higher convexity than a bullet porfolio. I can easily understand how the parallel line represents duration but I cannot see what ...
2
votes
2answers
42 views

How to take care of newly auctioned yield/price in fixed income data

This is a financial data cleaning question. I have raw price and yield data for US cash treasury across the curve. In the time-series there are jumps on the day after the treasury auction results come ...
2
votes
0answers
40 views

Using Market Prices of Bonds to Model the Discount Curve with a Polynomial (Math + R)

I have a small program I'm building to interpolate the discount curve from a portfolio of benchmark bonds. If anyone has any guesses as to whether it's my process, or my code that's messed up I would ...
2
votes
0answers
32 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: $V_0=\mathbb{E}^{T_2}\left[\frac{A_t^y(T_1,T_2)}{B_t^x(T_1,...
2
votes
0answers
31 views

Equity protection and butterfly certificates pricing

Certificates issued by famous industry names are usually made up by a combination of a fixed income instrument and some vanilla and exotic options. I am looking for something which explains: how to ...
2
votes
0answers
101 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 ...
2
votes
0answers
55 views

Fed Funds Rate: longer maturities

FFR published by Fed Bank of NY is the average rate US banks charge each other for the overnight loans of their reserves required by the Fed regulations. Since Fed acts similar to a clearing house ...
2
votes
0answers
93 views

Problem with Naive Bootstrapping (US Government Bonds)

I am using the formula here to determine the discount factor function and eventually the zero-coupon yields. I get the data for Coupons, Face Values and Closing Prices from Thomson Reuters, which I ...
2
votes
0answers
204 views

Modified duration in multi-currency portfolio

I was thinking about how to figure aut duration for portfolio of bonds denominated in different currencies… I would like to compare sensitivity of portfolio to shift of yield with competitive ...
2
votes
2answers
520 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 ...
2
votes
3answers
666 views

Calculate bond returns from yields

I have to construct and evaluate portfolio of bonds and stocks, namely I need to get return on portfolio, standard deviation and sharpe ratios. I have weekly data that contains stock prices, and I ...
2
votes
0answers
40 views

How can I break down the change in value for an inflation-linked bond

I am trying to decompose the change in value of an inflation-linked bond into two constituent parts: 1) That due to changing nominal rates on the issuer's non-linked bonds 2) That due to changing ...
2
votes
1answer
382 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 ...
2
votes
0answers
130 views

Is there such a thing as “sell-off risk” in bond funds?

Popular yet generally academically-grounded commentators such as Annette Thau and Larry Swedroe have claimed that there is the possibility for "sell-off risk" in bond funds. By this they apparently ...
2
votes
0answers
574 views

Yield Curve Volatility

Let you have several issuers, and let each issuer have its yield curve built up with liquid plain vanilla fixed rate bonds. Each yield curve has its slope and its curvature, and they obviously change ...
2
votes
0answers
582 views

What is an appropriate hedge ratio for hedging a credit instrument with equity of the same issuer?

Given a bond and a stock issued by the same issuer, what is the appropriate ratio of bond-to-stock one should hold in order to minimize the specific risk to that issuer? Equivalently, what is the ...
2
votes
3answers
1k views

How to properly interpret accrued interest of bonds

Ever since I work in finance I was wondering what accrued interest (AI) are good for (see the wikipedia article for a short introduction). I think I have a clear picture in mind now and the usual ...
1
vote
1answer
620 views

How to derive zero-coupon rates from IRS?

How can I calculate zero-coupon rates from historical IR swap rates? I have a record of IRS for the past 4000 days and I am want to compute the zero coupon rates based on them.
1
vote
3answers
152 views

Cross Currency Swap

1) What is the difference between Cross Currency Swap and Cross Currency Basis Swap? Appreciate if this can be explained in layman's terms. 2) Could you advise me which swap rate to be used for the ...
1
vote
3answers
4k views

Is there a Bloomberg field for a bonds (upcoming) coupon dates?

For a specific bond I need to calculate the time until each of the upcoming cash flow payments (for obvious reasons). So I wondered if there is a field (bulk data) that gives me all the dates of the ...
1
vote
2answers
268 views

Who determine Sport rate curve (Yield Curve)

My study was in a Mathematical modelling, we studied much about theory, equations, how to resolve equation, how to implement, but we don't understand well where these equations come from. My ...
1
vote
3answers
198 views

(Beginer on bond market) References on callable bond's pricing

I am searching for references on pricing callable bonds. I've not find any rigorous mathematical approach on the web. All I found was some soft approaches in a discrete framework. Edit: First of ...