Questions tagged [bond]

A bond is a fixed-income instrument generating cash flows at some specific dates in the futures. These cash-flows depend on the interest rate of the bond, which can either be fixed or variable. It is a debt instrument acting as a loan made from the buyer to the seller.

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Predicting bond auction result. Should I train separate models for different maturity in face of Data deficiency?

Problem Statement Trying to predict how bond auction result ( in terms of yield ) is different from its forecast (the when-issued yield ). More info:http://www.mortgagenewsdaily.com/mortgage_rates/...
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Optimized search for yield-to-worst of a callable bond

Suppose that I need to find the yield-to-worst of a callable bond, and that the option is American (call any time). The bond may have step-up coupons and/or non-constant call price (oprion strike). ...
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Decomposing a bond's excess returns into duration, volatility, and market-price-of-risk. Discrepancy/confusion with Rebonato text

I am working on deriving the formula for the market price of risk for zero-coupon bonds and the associated formula for the excess returns. I am following the derivation in Appendix 12.6 of Rebonato's ...
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RQuantLib: any difference between FixedRateBond() and FixedRateBondPriceByYield() with flat term structure?

Please, consider the following functions from RQuantLib package: FixedRateBond() ...
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What is the Italian BTP yield calculation in last period?

I chose this example becuase it highlight two aspects I can't reverse engineer and can't find any official source documentation. BTP: IT0005518128: 1/Nov/2022 -> 1/May/2033 at 4.4%. If this bond is ...
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True or false: roll-down return is negative when a bond is trading at a premium

These three sources all say that the bond roll-down effect is negative if the bond is trading at a premium: https://www.investopedia.com/terms/r/rolldownreturn.asp https://corporatefinanceinstitute....
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How to calculate spot rates using market data of bonds?

Given 3 Bonds $A$, $B$ and $C$ with \begin{matrix} & \text{Bond } A& \text{Bond } B& \text{Bond } C& \\ \text{Price:}& 101,12\%& 99,03\%& 102,95\%\\ \text{Mat. in years:}&...
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Futures basis (Bond) optimal delivery

i have a confusion regarding how the basis converges in a couple of scenarios. Lets assume I am long UST CTD Basis Say the curve is upward sloping: optimally, i would choose to make delivery of the ...
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Application of Ito's lemma relating to bond price

I'm interested in solving the following questions but I am confused on the second part because I do not know how to define/calculate the interest per "unit time", which I'm guessing is ...
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From Lando (2004)* I am trying to replicate the following figure (Section 2.6 Default Barriers: The Black-Cox Setup): The spreads are computed as follows: $$s(T) = \frac{1}{T}\ln\frac{D}{B_0}-r$$ ...
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I posted this question in the finance/economics arm but someone suggested this would be a more relevant place. I have attached a photo of a list of bond issuance's in Australia. Could someone please ...
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Modified duration and convexity of a bond in R

A soft question: Are there any existing packages in R that allows one to compute the modified duration and convexity of bonds in R? If there isn't, how can one go about doing so (with formulas) with ...
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Dynamic Hedging for a Bond

Sorry if this question is duplicate. Analyzing the scenario to hedge bond credit risk with CDS. but if Bond price changes CDS notional will not change. is there any way i can hedge this ?
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Pricing Government Bonds use OIS or Gov. ZC Yields?

I am pricing government bonds ranging from JPN, GERMANY, UK, India to NIGERIA, MXN, ARG, Brazil etc. What is the better approach to use OIS for each currency or build a curve using government zero ...
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Questions about the replicating portfolio in the binomial model

I'm starting to teach myself quantitative finance and I've got several questions (marked in bold) regarding the replicating portfolio of a security in the binomial model. I'm following, among others, ...
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Accrued interest on RFR Floating Rate Note

On fixed rate bonds and IBOR based floating rate notes the next cashflow is known definitively in advance, therefore the accrued interest for a given settlement date is a trivial calculation typically ...
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high coupon and low coupon treasury

for treasury off the run bonds, in general, does the market prefer high coupon or low coupon bonds ? How about for credit bonds ?
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The price of liquidity

We are currently in the US Treasury roll period when investors are rolling from the previously issued notes and bonds into the currently issued notes and bonds, aka "Rolling from Off-The-Runs to ...
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How can I optimize a Bond Portfolio in Practice?

I'd like to optimize a bond portfolio with different bond classes (government bonds, corporates, ...) and different ratings as well as maturities. Is this even possible to optimize such a portfolio? ...
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Holding cost of risky sovereign debt in Europe

I am trying to better understand the sovereign bond market in the eurozone. In particular is it costlier for some institutions to hold periphery country bonds that contain more credit risk than say ...
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Yield to maturity of amortized bond

I have an amortized bond with maturity at 30.04.2023, a semiannual frequency, 10% coupon rate, 30Е/360 day convention, and a clean price of 104.9367. Also, there are two amortization payments: 300 at ...
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Pricing kernel representation

I am reading this paper https://mpra.ub.uni-muenchen.de/4969/1/MPRA_paper_4969.pdf pp.6-7 on discrete-time bond pricing. The model adopted is a a common affine model, the short rate follows \begin{...
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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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Stripped treasury bond prices

I saw this paragraph in the SHV prospectus The Underlying Index is market valueweighted based on amounts outstanding of issuances consisting of publicly issued U.S. Treasury securities that have a ...
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Tree Pricing FRN Implementation

When pricing a bond via a short rate model on a tree, it seems natural to include intermediate time steps in addition to those corresponding to cashflow dates (i.e. for bonds with American style ...
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How to calculate the gaussian VaR for a portfolio with 3 corporate bonds and 1 IRS payer?

As data I have the daily change of zero coupon spot rates for some vertex (0.25, 0.5, 1, 2..) and the daily change of z-spread for corporate bonds, also by vertex
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Is there a closed form solution to the following system of SDEs?

Suppose we have the system \begin{align} dr_t=\alpha_r(x_t-r_t)dt+\sigma_rdW_t^r\\ dx_t=\alpha_x(\bar{x}-x_t)dt+\sigma_xdW_t^x\\ \end{align} As this system is affine, I believe there should be an easy ...
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