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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1answer
45 views

US Treasury foreign buying/selling data

Would anyone recommend any Index or data that I can avail to understand the trend in buying/selling of US treasuries by China? I have access to Reuters feed. Thanks, Sumit
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1k views

Zero-coupon bond price volatility with one factor Hull White interest rate model

I have been trying to understand the H&W model expression for zero coupon bond price volatilities: $\nu_B(t_0,t_M)=-\frac{\nu_r}{m}(1-e^{-m\tau_{0,M}})$, where $\nu_B(t_0,t_M)$ is zero coupon ...
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1answer
94 views

Bond yield to maturity vs current interest yield

How close is yield to maturity usually to current interest yield? Can I use yield to maturity to approximate current interest yield of a bond index? I am trying to calculate bond index price returns ...
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1answer
118 views

what is non par call curve ?

What is no par call curve in terms of muni securities ? Can anyone explain how does it affect spread and duration and why is it used while evaluating securities ?
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1answer
140 views

Cap option on Libor

We denote discount factor $D(t),$ zero coupon bond $B(t,T),$ $E_t[X] = E[X|\mathcal{F}(t)]$ and $T$-forward measure $E_t^{T}[\ ]....
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1answer
615 views

Is Libor a martingale under T-forward measure

We denote discount factor $D(t)$, and zero coupon bond $B(t,T)$ as: $$B(t,T) =\dfrac{1}{D(t)} E_t[D(T)]$$ here $E_t[X] = E[X|\...
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2answers
4k views

Do all bonds of the same maturity have the same yield to maturity?

We've been using this formula to price Bonds. c/y + (100-(c/y))/(1+y)^m where c=coupon y=yield to maturity m=time to maturity Let's take a 10 year U.S treasury for example. Price of existing bonds ...
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3answers
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Why is G spread bigger than Z spread theoretically?

I am checking a few bonds on the YAS page on Bloomberg and I can see that G is higher than Z spread (this applies to bonds with optionality and bullet, too). As Z is stripped from reinvestment risk, ...
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1answer
119 views

Clarifications about the “quotations” of Treasury Bills and Treasury Bonds

Good morning. I would like to ask you some clarifications about the "quotations" of Treasury Bills and Treasury Bonds. Quoting "J.C. Hull": In general, the relationship between the cash price and ...
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1answer
1k views

Total Return Bond Index calculation using only Clean and Dirty prices

I have been looking at ways to construct a custom Total Return Bond Index given only the Clean and Dirty Prices. First I constructed the following, thinking that Price Index formula would capture ...
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1answer
108 views

Custom Bond Index Construction

Let's say there are about 100 illiquid EM bonds. I would like to construct a Price Index of these bonds to see the overall performance of these instruments. I have their issue volume ...
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41 views

Cash flow of longevity Bonds

For a longevity Bond, how is the cash flow and how can I replicate it? I am confused with the cash flow. An Investor pays a principal and receive coupon payment depends on the longevity of certain ...
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2k views

“Forward price of bond” VS “Price of a bond with a future settlement date”

What is the difference between 1) computing the 'forward price' of a bond at a future time T. ( spot price - carry, involving repo rates) 2) computing the price of a bond (discounting all cash ...
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1answer
658 views

To compute key rate duration, shall I use par curve or zero curve?

To calculate Key rate duration/Key rate DV01 for bonds, do we move the zero/spot curve or we move the par curve? Or either one is OK? Just want to know the industry standard.
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Receiver Swaption and Callable Bond - Literature Proof?

I'm looking for a formal proof that a receiver swaption is equivalent to a callable bond. I have only found some CFA Internet pages so far where this statement is considered as proven, tough I haven'...
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1answer
120 views

Yield-to-maturity determines bond price or viceversa?

when I attended fixed-income classes, my Professor used to say that yield-to-maturity determines bond price and not viceversa. I was wondering the meaning of this statement since the definition of ...
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1answer
108 views

Regress the changes in a bonds YTM against the changes in YTM of a bond index?

does it make sense to regress the changes in a bonds YTM against changes in the YTM of a bond index to get som measure of a bonds beta?
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1answer
549 views

Pricing zero coupon bonds on a yield curve

I'm getting confused about how I should price the current price of a zero coupon bond when there are several yields to choose from. For instance, lets say that there is an upward sloping yield curve. ...
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2answers
188 views

Making mathematical sense of the expression for realized bond return

I came across the following statement regarding the realized 10-year maturity bond's return over a year: The realized bond return (H) over a year has two components: the yield income earned over ...
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1answer
204 views

Does this trade have a name?

Ok so I got this idea, it's very simple so I know I'm not the only one who has thought about it. It is a pairs trade between long and short term treasury swaps, and goes as follows: Going by ...
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1answer
582 views

Why we need compute the clean price

First, is the yield of dirty price is same as the yield of this bond at beginning? If they are same, then the dirty price is ...
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4answers
1k views

Yield-to-Maturity and its assumption

Reading about Yield-to-Maturity (YTM) I found out that two assumptions have to be made: the bond holder must keep the bond until maturity; coupons must be reinvested at the same YTM. Violating those ...
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0answers
155 views

Daily yield to maturity using `uniroot` in R: error

So, I'm trying to compute the daily yielt to maturity on basis of data retrieved from Datastream. The data comprises EMU Treasury bonds with Prices, Coupon and Maturity date. In R the matrices are ...
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5k views

How to calculate the daily carry on a bond future?

I have been calculating daily carry on a normal bond as the difference in yields from one day to the next (roll down basically), interpolating the yield on one day, and interpolating it for the ...
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BUS/252 accrual - why 252?

I've recently found out about the BUS/252 accrual method used in Brazil, where, to calculate how much of the yearly accrual falls on a given period by calculating the number of business days during ...
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0answers
24 views

$\sigma$-indepencene in affine multi-factor model for interest rate derivatives

The model here is affine two-factor model for interest rates. Let $p = p(r, \sigma)$ denote bond prices which take the usual exponential form. Let $r$ have some $Q$ dynamics, and let $\sigma$ be the ...
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3answers
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Why repo goes negative for bonds trading special

Please help me find the fault in my reasoning! It seems to me that when a bond is trading special , it is in short supply and high demand , and so excessive number of people are borrowing money to ...
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0answers
161 views

Price of a Bond-Call option in the defaultable framework

I would like to compute the price for a Call option written on a defaultable bond as underlying. Suppose you have the following dynamic under the risk free measure $\mathcal{Q}$ for the interest rate: ...
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2answers
623 views

Risk neutral measure of short rate model

As we all know, all affine term-structure models are members of HJM model. Under HJM model, there is a unique risk-neutral measure in both forward-rate process and bond evolving process. Hence, the ...
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1answer
2k views

Simple QuantLib Bond Math

I am new to QuantLib and am trying to get it to replicate some simple bond math. Suppose we have a 5-year bond with annual coupon payments of \$5 and face value of \$100, and interest rate of 4%. ...
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1answer
65 views

Is there an open architecture API or excel solution for calculating and adjusting bond pricing?

Is there an open architecture API for calculating and adjusting bond prices? I am looking to adjust bond pricing on OAS or adjusted spreads to various indices and need a tool to process large amounts ...
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2answers
255 views

Bond duration and the mathematical proof of 'bond price recovery'

The term duration has a special meaning in the context of bonds. It is a measurement of how long, in years, it takes for the price of a bond to be repaid by its internal cash flows. I have read this ...
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0answers
95 views

Can someone suggest some good reads on OAS and Spread Duration?

I have been through the CITI Yield book paper and the OAS by Barclays. Is there is anything else that tackles this topic? Any help would be much appreciated. Cheers!
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642 views

Duration of callable zero coupon bond

Can anybody please help me out with the below question with a brief explanation:- A 10-year zero coupon bond is callable annually at par (its face value) starting at the beginning of year 6. Assume a ...
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1answer
744 views

Bond price and its process

Suppose that x is the yield to maturity with continuous compounding on a discount bond that pays off $1 at time T. Assume that the x follows the process $dx=a(x_0-x)dt + sxdz$ where $a, x_0$ and $s$ ...
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1answer
1k views

How does Bloomberg arrive at stub rate for swaps/floaters?

I'm trying to interpolate initial stub rate ( 'Index to' in the image ) for the following FRN pricing example. Fixes on 2016/11/30 1m : 0.623670 2m : 0.742500 3m : 0.93417 Please be as specific as ...
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4answers
426 views

What is currently predictable in the stock and bond markets and what is not

Disclaimer: I have some knowledge of statistics, machine learning and probability theory, but next to zero knowledge of finance (I had to look up Wikipedia to refresh my knowledge of the difference ...
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1answer
3k views

How to Compute Dates for Bond

I would like to understand how to compute from Maturity Date the Payment Dates of a coupon bond. For example, consider that today I am buying a bond that matures in ...
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0answers
5k views

What is the difference between sovereign bond and government bond?

what is the difference between sovereign bond and government bond? Can I assume that both are the same? Thank you very much in advance!
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0answers
241 views

Callable Bond = long Bond - call on bond?

Can someone verify (maybe there is some literature around) the following relationships? Callable Bond= Long on Bond + short on a Call Position --> PV(CallableBond) = PV(Bond) - Call on Bond? or ...
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2answers
9k views

What happens to accrued interest and coupon payment if coupon date is weekend?

Say a 5% bond using 30/360 convention, 2 coupons per year. Last coupon payment was on 2016-04-01. Now 2016-10-01 is weekend and the coupon is paid on 2016-10-03. Is this coupon 2.5 or slightly more ...
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0answers
311 views

Find Z-Spread in R

I am new to the quant finance community... I have a series of bond cash flows, its market prices and also the spot rates for the timing of those cash flows. How to find the Z-Spread that matches its ...
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1answer
17k views

Formula for forward price of bond

What is the formula for the forward price of a bond (assuming there are coupons in the interim period, and that the deal is collateralised) Please also prove it with an arbitrage cashflow scenario ...
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1answer
1k views

How to calculate the YTM of an inflation linked bond

I'm trying to find a formula to calculate the YTM of inflation-linked bonds. I've tried using the conventional YTM formula for bonds and then just adjusting the coupon to the inflation adjusted coupon,...
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1answer
474 views

PDE for Pricing Interest Rate Derivatives

Suppose that interest rate $r(t)$ follows some short-rate models, say Vasicek, so that$dr = a(b-r) dt + \sigma dZ$, with constants $a,b,\sigma$. It is well known that the price of zero-coupon bond $...
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1answer
371 views

Would it possible to use quantlib finance library to calculate folowing measures?

I am working on a project which addresses finances and I am curious if I could use qunatlib for it. I have already looked it a documentation about it but since I am definitely not an expert in ...
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2answers
212 views

Find all bonds associated with an equity

I would like to use Python to programmatically find the cusips of all bonds that are currently issued by a given equity. Assume I can use any free api and bloomberg. Thank you!
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1answer
926 views

Proof of the convexity adjustment formula

Let $y_0$ be the forward bond yield observed today for a forward contract with maturity $T$, $y_T$ be the bond yield at time $T$, $B_T$ be the price of the bond at time $T$ and let $\sigma_y$ be the ...
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1answer
206 views

Girsanov theorem and default rates in bond credit rating

Default rates are kind of probabilities, right? Is it possible to use the Girsanov theorem in that context? For example if we have a table of real world probabilities, could we use the Girsanov ...
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1answer
121 views

Black Derman Toy short rate and PDE

I am looking at the Black Derman Toy local short rate model as $$d\log r(t)=\alpha(t)(\theta (t)-\log r(t))dt+\sigma dW(t)$$ under RN measure. I would like to derive the bond price PDE. For that I ...

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