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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19 views

The minimal entropy martingale measure for insurance-linked securities pricing

Suppose that we have a CAT bond contract that pays coupons at discrete points in time as well as a principal at maturity time $T$ if no triggering event happens during the term of the contract. More ...
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Standardize YTM's of coupon bonds with different coupon frequencies

In Financial Mathematics for Actuaries by Wai-Sum Chan and Yiu-Kuen Tse, the following formula is given for a $n$-year annual coupon bond with transaction price $P$ where the yield to maturity is $i_Y$...
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34 views

Building a yield curve out of YTM's with different coupon periodicities

I want to graph a yield curve using the yield to maturity of my bonds. However, my coupon rates have different periodicities. Financial Mathematics for Actuaries by Wai-Sum Chan Yiu-Kuen Tse give the ...
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100 views

Building a Nelson-Siegel curve

I originally posted this on Mathematics, but was told my question is better suited here. I want to graph a yield curve with an extended version of the Nelson-Siegel-Svensson. I have the issue date, ...
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37 views

Risk factor mapping of a foreign bond

Suppose the investor is Australian, and there is a single, 3-month, USD-denominated zero-coupon bond with a face value of \$1 million USD. The AUD/USD exchange rate is \$1.2AUD/USD, and the 3-month US ...
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+100

difference of carry for zero coupon bonds in Pedersen and Ilmanen

I know that carry was discussed broadly on this forum but I can't get my head around the following difference. If we talk about carry / rolldown I have trouble to see the connection / differences ...
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52 views

Calculate the duration of group of Bond ETFs

Is it correct to get the weighted average of a bunch of bond ETFs to get the duration? Is it theoretical correct to say that. I have 6M AGG (duration 8.39), 30M BND (duration 8.7), 60M SHY (duration 1....
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58 views

Why do we get a higher yield when we pay the interest at the end?(bonds)

I have an example where I show that if you pay the tax at the end of the bond period, the yield after tax is higher, but I am wondering if it is possible to give an explanation as to why it is like ...
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29 views

Price Adjustment Interest (PAI) for collateral Bond

I understand that, if cash is put as collateral, the party holding the collateral needs to pay the counter party the funding cost of the cash collateral (PAI). How about if bonds are put as collateral?...
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92 views

Why do we have daily series of T-bill yields?

I understand that each week the US Treasury issues new T-bills at different maturities (1-month, 3-months, 1-year, etc). As far as I understand, this issuance happens every Tuesday. After the auction, ...
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46 views

How to calculate spot rate for maturity which does not have a zero-coupon bond?

How do I calculate zero-coupon yields for a maturity which does not have an equivalent zero-coupon bond? For instance, let's say we have this spot rate curve: t0.5=1% t1=2% And a bond which has a ...
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Is there an Ops Risk in being short a bond on the redemption date?

I am trying to understand whether everyone needs to be long or flat when a bond is redeemed, or being short a bond at that time is also not an issue
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92 views

Quantlib match clean price with bbg clean price

I'm trying to match QL clean price with BBG clean price for POLGB 2.75 10/25/29 1029 priced for 15th of October 2021 for 2.5% yield. I'm not sure if my setup of bond is wrong or if there is a problem ...
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59 views

Duration and convexity of an open term loan/bond!

Imagine an open term loan with monthly interest payments of [x]% and the principle due when the loan is closed. Both the lender can call the loan, and the borrower can return the loan (with no penalty)...
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109 views

Estimate yield of coupon bond given yield of zero coupon bond

Suppose that now is August 2006 and we have the following zero-coupon bonds: Maturity: August 2007, Price: 95,53 ...
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68 views

How to calculate zero-coupon curve for Italian BTPs?

On the BTP curve, we have the following Bonds (just showing you an extract) I want to calculate z-spreads my self therefore I need the zero-coupon curve. How do I go about doing this? Do I look at ...
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184 views

How to minimize Nelson-Siegel parametric form

Problem I am given the following function to minimize (w.r.t. $\theta$) $$f= \sum_{k=1}^5 \Big [ \sum_{i=1}^{N_k} CF_{k, i} \cdot e^{-r(t_{k, i}, \theta)\cdot t_{k, i}} - P_k^* \Big]^2$$ where $\...
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61 views

Actual360 convention in quantlib schedule

I'm trying to make a payment schedule for different bonds in quantlib. For example, I made such a schedule: ...
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46 views

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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63 views

30E/360 bond payment schedule

I have a bond that was issued on the 30th of April with 30/360 European day convention basis and semiannual compounding. As far as I understand payments should be every 180 days according to the day ...
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57 views

QuantLib - Help buiding a simple T-Bond (Mischievous Pricing Conventions)

Im having a problem getting the right price for a simple T-Bond, maybe a Mischievous Pricing Conventions like Luigi says in his book. Im tying to price "912810SZ Govt" ...
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65 views

How to make a schedule for amortizing bonds in python quantlib?

I am trying to make a schedule for amortizing bonds in quantlib, but have no idea how to include amortization in this schedule. I have the following bond: ...
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Optimal exercise of American BOND option

I know that early exercise for American options has been discussed extensively, but I have not seen a lot in relation to BOND options with American optionality and there are few things I cannot get it ...
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109 views

What maturity Treasury yield to use for risk free rate to compare against asset typically held for 10 years?

I have a quarterly return in quarter i for an asset which is typically held for 10 years. Which maturity Treasury yield should I use as a risk free rate in this context, and from what period? I ...
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122 views

Long historical time series of Treasury bond returns

I am looking for a long time series of US Treasury bond returns (or index values). The problem with standard indices is that they go back to at most the 1980s, while I would like to also see the ...
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104 views

Pricing Dual Currency Bond with Forwards instead of Cross Currency Swap

i got the task to price a bunch of dual currency bonds (EUR/GBP/CHF/USD...) and i am a bit puzzled. As the notional of the bond is in EUR but the repayment is in USD, i assumed that for pricing ...
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44 views

Floating rate bond valuation and Duration

I would like to know how a floating rate bond will be valued when LIBOR is used to compute the coupon cashflows and the bond is discounted using an OIS rate. Normally I have seen valuation of a FRB ...
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83 views

Does credit default swaps have interest rate duration and credit duration?

Will a CDS have interest rate duration and credit duration? It does seem likely that the value of the CDS would depend on the underlying interest rate, or the spread. But when I try to Google this I ...
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58 views

Replicate an fixed income index in python

I am trying to replicate an fixed income index in python through linear programming. Data for all bonds in the index are available as well as index values. I intend to first create a free portfolio ...
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34 views

Bond VaR with z-spread

I want to calculate VaR for bonds using historical z-spread changes. I want to apply the changes to the present day z-spread, reprice the bond and obtain the PnLs from which I can calculate VaR. But ...
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Publicly traded instrument analogous to a bond with discount rate equal to a stock dividend rate

Suppose we have a stock paying a stochastic dividend at rate $q$ in a zero interest rate environment. Is there a publicly traded (non-over-the-counter, meaning not specially designed for an entity) ...
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96 views

Using QuantLib for bonds with irregular coupon payments

Could you please help properly use QuantLib python library to estimate different metrics of bond with uncommon coupon payment periods? For example, I have a bond, which pays coupon each 182 day (26 ...
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62 views

Short Eurodollar futures front v back month

What is the difference between shorting the front month, rolling it into a back month vs just shorting the back month? For example: shorting the front month and rolling the short every 3 months until ...
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76 views

Why is an FRN price equal to par on every reset date?

In the book "The money markets handbook" by Moorad Choudhry, it says that "on the coupon reset date an FRN will be priced precisely at par". Why is this? Would it not discount the ...
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81 views

Bootstrapping semi annual bond

I have a bond that pays out semi-annually. The coupon is 0.14, which means it pays 0.7 after 6 months, and then 100.7 after another 6 months. I need to find the discount factors by bootstrapping. Is ...
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83 views

Synthetic bonds with FX futures

FX futures price in the interest rate of different currencies, so can you use US treasury bonds (for example /zn) and FX futures (for example SGX USD/CNH FX Future) to create a synthetic bond of a ...
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A list of the 01's in the corporate bonds

I have frequently heard terms like DV01, CV01, PV01. Where can I get a list of these glossaries to study? I am not looking for a detailed explanation, just really a list.. Once I have the list, I can ...
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58 views

Liquid products/indexes to hedge/price a corporate bonds portfolio

Generally, for a corporate bonds portfolio, what are the common risk factors that's hedge-able through some liquid products? I know we can hedge the rate-risk through treasuries. We have some ETFs for ...
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47 views

Different methodologies of building indices

Say have a basket of coupon bonds $B_i$ with $i \in \{1, ..., n\}$. Those bonds have different characteristics one from another. For example they differ in maturity, face value and coupon outstanding. ...
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184 views

Quantlib Black Model for Commodity Options (Interest Rate Options) is extremely light on gamma and price vs BBG, is model incorrect?

I am using the QuantLib developers example to try and price a TY option. The Delta is pretty close but the price and gamma are way off (almost by a factor of 2). Am I using the model wrong or is the ...
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74 views

Callable Corporate Bonds: Why Issue a Callable Bond That Has a First Call Date <6 months to Final Maturity?

My understanding is that firms typically issue callable bonds to benefit from possible refinancing in a lower interest rate environment. What, then, is the point of issuing a bond, say, today (06/30/...
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135 views

Why are bonds usually issued at par?

Bonds are not always issued at par, but they often are. From a standard finance theory perspective, this cannot be justified. For investors, the division between coupon and principal returns is ...
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90 views

Correlation between corporate bonds and treasury

What aspects decide the correlation between US corporate bonds and US treasury ? I was told that some corporate bonds are more sensitive to treasury than others. Sectors or maturity?
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167 views

Duration of Floating rate bond

I have read in several places that the duration of a floating rate bond is simply the time until next coupon payment, because the upcoming coupon payments are not known. I have 2 questions here: Why ...
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44 views

end of month is being applied to the termination date in quantlib schedules

According to the QuantLib-Python Documentation for the Schedule function endOfMonth : If the start date is at the end of the month, whether other dates are required to be scheduled at the end of the ...
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167 views

Why is the DV01 of a CDS roughly equal to the DV01 of a par bond issued by the same reference entity?

The claim was made in this link: https://www.investment-and-finance.net/derivatives/c/cds-dv01 But I don't understand why that is.
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70 views

Decomposing bond futures into the cheapest-to-deliver underlying bond

For a regulatory perspective, I need to decompose bonds futures into the underlying cheapest-to-deliver (CTD) government bonds on a given date. Suppose I have a 100 bond futures position on date $d$. ...
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48 views

Treasury Benchmark and Bond Pricing

I'm trying to figure out the connection between the following quantities but no luck so far. ...
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77 views

Bond Future and Bond Yield relation

I recently read, that yield changes during a short time window can be approximated by dividing the returns of futures on the bond by its Duration. Has anybody heard this before and can shed some light ...
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124 views

Determining bond price based on diffusion process for the short rate model

Suppose the diffusion process for the short rate $r_t$ under the risk-neutral measure $Q$ is given by: $$ dr_t = \theta(t)dt+\sigma dZ_t $$ where $Z_t$ is a Brownian motion. I am trying to show that ...

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