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
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 ...
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1answer
507 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 ...
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2answers
69 views

Modelling callable bonds in a risk model (historical simulation)

What is a best-practice example on how to model callable bonds in a risk model - I focus on historical simulation (HS). For plain-vanilla bonds the input factors for historical simulation could be ...
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3answers
103 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 ...
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1answer
116 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 ...
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1answer
58 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 ...
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2answers
146 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 ...
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1answer
113 views

Does DV01 grow proportionally to portfolio?

I'm having trouble understanding DV01 convention. From what I understand it stands for "Dollar value of 1 basis point." For instance, if I have a bond with DV01 = 0.05, does a portfolio composed of ...
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1answer
254 views

“Friendly” papers about maximum smoothness yield curve modelling

I'm currently looking to implement some version of the yield curve modeling techniques in the maximum smoothness framework. The papers I have found so far explains the theory pretty well, but I find ...
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1answer
375 views

Need to match my bond price calculation to that of Bloomberg, currently failing hard

I have a fixed-coupon bond with the following characteristics: ...
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1answer
60 views

Why might a manager consider using an interest-rate in which the notional principal amount declines over time?

Say swap would be used to convert the payments of its portfolio of fixed-rate residential mortgage loans into a floating payment. Why might a manager consider using an interest-rate in which the ...
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1answer
539 views

T-note returns from T-note yields … derivation of Damodaran's formula

Damodaran's historical data on 10-year T-note returns (found here) uses the following formula to calculate the 1-period total return on a T-note ($R_1$) given the 10-year constant maturity ...
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2answers
62 views

Calculation of Bond Carry from Synthetic future prices

I have only government bond yields with different maturities. How can I obtain sythetic future prices on bonds? After obtained the future prices, I am supposed to compute the return and carry returns. ...
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1answer
56 views

How to convert bond options strikes to future prices

CME, 10 year Note Call Strike 1300 How to convert this strike to future price? (today's open at 131'100) For example we can take current prices EOD data for example chart on CMEgroup: ...
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1answer
47 views

By swap valuation, is accrued interest calculated?

If I treat the 2 legs as bonds, and I want to calculate the present value somewhere between 2 payment date, should I calculate accrued interest?
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1answer
78 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 ...
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1answer
65 views

Selecting bonds to be used in Nigel-Siegel Svensson OLS Regression

I need to obtain the initial parameters that would be used in the Non-Linear Optimization that provides the Nelson-Siegel Svensson parameters for US Treasury Bonds. The Optimization appears to be very ...
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1answer
167 views

Understanding how to calculate Accrued Interest of Bonds

When calculating the accrued Interest of Treasury Bonds, how does one set the settlement date? And, is it possible for certain bonds that there are no coupon payments before the settlement date and ...
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1answer
95 views

Calculating Accrued Interest of Bonds

I am trying to calculate the accrued interest for a set of Treasury Bonds. I am comparing the answer from the code below with that for the 1st Bond(row) over here. In the link the AI is ...
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1answer
36 views

Correct Theoretical Discount Factors from Nelson-Siegel-Svensson?

I am calculating the theoretical discount factors associated with a bond that has 30 months to maturity from today with the parameters below obtained from here using the Nelson-Siegel-Svensson Model. ...
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1answer
172 views

Jacobian transformation

I am trying to calculate pillar-wise sensitivity of a fixed coupon bond using par rates (given pillar-wise zero coupon sensitivities). I came across the formula pv01(par) = pv01(zero) * dz/dr, where ...
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1answer
120 views

Using Spot Rates to construct Zero-Coupon Bond Yield Curve

I am just trying to get an explanation as to why Spot Rates can't be used to create a yield curve for Zero-Coupon Bonds? Or if they can, would it involve Bootstrapping? Thanks
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1answer
82 views

Bond in relation to US T-Bill/Risk-Free rate

By looking at the following charts , i wondered about how to plot a fixed income security against a risk free bond. I have the bond price time series but I am not sure what US T-Bill rate I should ...
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2answers
148 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 ...
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2answers
91 views

Numerical delta of Bond Options

I'm trying to calculate the delta for bond Call options. I'm using the vasicek model which gives the following solution for a Zero-coupon bond call option: $Z = N P(t,S) \Phi(d_1) - K P(t,T) ...
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2answers
62 views

Cheapness indicator for Convertibles Bonds

What indicator (or combination of those) could be used to roughly estimate the cheapness of a convertible bonds ? Like the price/earning ratio for equities. Thanks, Max.
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2answers
227 views

Real-time market data from the exchanges: what should we be aware of?

We receive daily end-of-day data from a data vendor (i.e. not direct from an exchange) and are comfortable with this. We are now wanting to receive live data, and after a few enquiries we are feeling ...
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2answers
134 views

Factor immunization for bond portfolio

I'm trying to figure out some kind of immunization using a factor model I developed for interest rates. Here is the basic problem. Let's say that we have a bond portfolio containing $N$ bonds with ...
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1answer
233 views

Total return index for interest rates (EURIBOR 3M)

I would like to calculate a daily total return index for the EURIBOR 3M. • Should I freeze at the beginning of each qurter die rate? (With this methology the developing of the index depends on the ...
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1answer
436 views

How to calibrate the Hull-White model using cap prices?

I'm given cap prices and swap rates, and i'm trying to calibrate the Hull-White model to them. I then want to use the model in order to price a swaption. I know that the model can be calibrated from ...
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1answer
180 views

Bond Spread Drivers

I have some work to do on the drivers of government bond spreads - ie. across terms (not across governments) of the yield curve, say 5yr and 20yr bond spreads from the same government issuer - and am ...
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1answer
752 views

Interpolating spot rates given intermittent coupon-bond prices.

I'm trying to bootstrap spot rates given coupon-paying bond data. To simplify my problem, assume we are working with only 3 given data, the price/coupon rate on semi-annual bonds maturing in 0.5, 1, ...
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1answer
405 views

Bond futures - calendar spread pricing

I am looking on literature and models on pricing a bond futures' calendar spread. assuming the basket of deliverable bonds is the same and the ctd is the same, what are the factores determining the ...
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1answer
67 views

Annual Percentage Rate and Yield

I found references relative to US where the Nominal Annual Percentage Rate or simply APR is defined as the simple interest rate (i.e. proportional to time and without compounding). Instead the ...
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0answers
10 views

How to calculate price in non-competitive bidding that bidders will receive?

Following bids are received in treasury bond auction. Notified amount is Rs.20,000Million. No amount devolves on the RBI/PDs. No. Of bonds/ Price(Rs.) 46/ 110.185 45/ ...
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1answer
101 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, ...
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0answers
37 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 ...
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0answers
51 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)) ...
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0answers
49 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 ...
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0answers
51 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 ...
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0answers
68 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 ...
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0answers
29 views

Can anyone suggest book about fixed-income portfolio management? [closed]

Can anyone suggest books about fixed-income portfolio management? Thx
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0answers
39 views

RQuantLib FixedRateBondPriceByYield() Non-tradable error

How do I use FixedRateBondPriceByYield() function on maturity date that is earlier than today? I get "non tradable error" when applying on date older than today. ...
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0answers
53 views

Will rolling-down-yield-curve bond strategy work if interest rates remain unchanged?

Suppose I have 2 strategies; A) Buying A One Year Bond And Holding To Maturity (Buy & Hold To Maturity) B) Buying A 3 Year Bond and Selling After One Year (Rolling Down The Yield Curve) Assume ...
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0answers
48 views

Smoothening yield curve by minimizing forward curve slope

I am using government bullet bond data and have bootstrapped a yield curve by solving the following optimization which minimizes unweighted price error: ...
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0answers
41 views

Is there a limit to the number of Spot rates than can be calculated from Par Yields

I am just trying to calculate Spot Rates from Par yields. I find that the code below gives very similar spot rates for the data here, yet if I increase the size of the ...
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0answers
54 views

Issue with Naive Bootstrapping (US Government Bonds)

I am using the formula here to determine the discount factor function. I get the data for Coupons, Face Values and Closing Prices from Thomson Reuters, which I insert into the Dataframe ...
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0answers
153 views

CFA (Level 1) schedule after school and working a 9-5 job [closed]

I am graduating with a BS in math and obviously love math but everything changed when a buddy of mine invited me to an investment society in our school and I love every single experience. The part I ...
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0answers
64 views

Convertible bonds market data

My question is twofold. First, what are the key informations used to describe a convertible bond market ? I'm thinking about market size, conversion rate, appropriate index, ... Second, where to ...
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0answers
149 views

Using the R package “ termstrc ”

I am attempting to use the function estim_nss from the termstrc package in R. However, I am experiencing the following error: ...