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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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
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1answer
103 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
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1answer
104 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
203 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
411 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
302 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
548 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
282 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
67 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
173 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
284 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
168 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
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 ...
2
votes
2answers
2k 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
764 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
134 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
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0answers
38 views

Investment Grade Bond vs Junk Bond, whose duration is larger?

Just wondering how to calculate duration when take credit risk into consideration. I think if duration is calculated as weighted average of cashflow time, and weights are calculated using present ...
2
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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: ...
2
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0answers
30 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
70 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
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0answers
48 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
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0answers
135 views

Calculating Net Annualized Return on LendingClub historical data

I am interested in the formula LendingClub provides as their measure of "Net Annualized Return": $\big(1 + \frac{\sum_{i=1}^N{((I_i + L_i - S_i - C_i + R_i) / P_i) ...
2
votes
0answers
89 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
160 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
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 ...
2
votes
3answers
402 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
35 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
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 ...
2
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0answers
126 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
498 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
516 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
572 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
3k 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
220 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 ...
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vote
3answers
182 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 ...
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?
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vote
2answers
574 views

Valuation of a Sinking Bond Fund

What would the schedule of payments be for a bond with a sinking fund? I know how to price a bond but how does the sinking fund play into it? ...
1
vote
1answer
76 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 ...
1
vote
2answers
60 views

What is an estimated rise in the interest rate of the 10-year Treasury in this scenario?

Suppose that the Federal Reserve had raised interest rate by 0.25% last week 17Sep2015. What is an estimated rise in the interest rise of the 10-year Treasury? Which futures contract should one use to ...
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 ...
1
vote
2answers
259 views

Market overview trading platforms (with OTC)

I am searching for a trading platform for a client. It must include control of trading limits (per user and with regard to the clients portfolio), connection to Bloomberg data, ability to value ...
1
vote
2answers
76 views

Is “Issuer and Holder with same strike” meaningless?

I've seen a callable putable bond whose first exercise date is an exercise date both for the holder and the issuer. Moreover both strikes have the same value: 100. I wonder what does it mean. I ...
1
vote
1answer
489 views

Automatic fixing of missing floating rate in QuantLib's addFixing()

Due to the periodic fixing of floating rate bonds's coupon rates, in order to calculate the bond clean price one must tell the pricing engine to account for previous LIBOR rate fixing. If I am right ...
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 ...
1
vote
1answer
86 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 ...
1
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1answer
53 views

Immunization: Whats the best way to hedge my short interest rate exposure?

What's the best way to hedge a portfolio against a rise in rates? Portfolio: long bonds different maturities. a) parallel shift b) convex shift (short and long term rise more than mid term) How is ...
1
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2answers
129 views

Solving the Bootstrapping equation when matrix is non-square

I am trying to construct a Zero Coupon Yield curve for US Government Bonds from market data (coupons, face values, prices, months to maturity) via Bootstrapping. However, I am not too sure how I would ...