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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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Pricing a callable bond

I have read the Lehman Brother's paper on OAS which I mostly understand, they outline how to find the OAS for a callable bond of which the formula is effectively (ignoring refinancing costs): Market ...
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24 views

Are pure PIK bonds' payoffs known from the start?

I am developer working in the financial field and I would like to understand what I'm doing. My latest work subject involves Payment In Kind bonds with coupons fully reinvested (e.g, no coupons ...
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Perpetual bond valuation between coupon dates

According to this Derive Perpetual Bond Price , I learned how to derive the formula of perpetual bond. However, I still have some questions. Firstly, do I need to change the formula when valuing the ...
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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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simple question on bond futures pricing formula assuming continuous compounding

I'm reading a paper (Statistical arbitrage in the U.S. treasury futures market 2017), and have come across this derivation for the price of a bond future assuming interest payments and coupons ...
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1answer
91 views

Fair price of a coupon paying bond

Consider a coupon paying bond with a maturity of $3$ years, that pays coupon annually. Let $c$ be the coupon rate (percentage) and let $F$ be the face value. This means that the holder of the bond ...
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What is a quick way to estimate the haircut on a collateral that is actively traded

If I have an traded asset like a bond with face value of 1 million, but currently trading at 0.9 million, can I simply say that the haircut, if I use this asset as a collateral for repo, is 1 - 0.9=0....
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97 views

Calculation of Bond returns [closed]

Given that I have a portfolio of High yield bond with USD 50.
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71 views

No-arbitrage and the sharpe ratio?

I'm reading a paper and it says that in a no-arbitrage market the sharpe ratio is the same for all bonds. I'm guessing that a difference in two bonds sharpe ratios would open the possibility of ...
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3answers
77 views

Definition of the field YAS_RISK for bonds on Bloomberg terminal

The Bloomberg terminal has the following definition for the field YAS_RISK (SP190): "Indicates the price sensitivity given shifts in interest rates." It does not specify, however, what currency is ...
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1answer
33 views

Finding B(t) in the Vasicek model relating to the bond equation, more specifcally from the initial condition

In the Vasicek model for derving bond prices, we have the ODE $$\frac{dB}{dt}=\gamma B-1$$ which gives rise to the general solution $$B(t)=C_1 e^{\gamma t}+C_2$$My problem is that we have the "initial"...
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Issue with OLS Regression for Nelson Siegel Svensson parameters

I have been working on getting input parameters to the Non-Linear Optimization which gives the Nelson Siegel Svensson model parameters and am carrying out the OLS regression as described in this ...
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Bond spreads - SQASW

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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55 views

Duration and yield

I have some basic questions about mainly duration and yield. 1) Almost no-one defines what yield they are talking about when talking about duration and discount rate, I've seen some talk about ...
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0answers
31 views

How to convert a vector of bonds ZC Spreads into default spreads

If we consider a set of bonds issued by a given entity that are quoted on the market, one can get for each of those bonds a ZC spread on top of reference swap curve (say the bonds are in USD and so we ...
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1answer
89 views

Why is Plain-Vanilla Bond most common bond in the market? [closed]

I have very straigtforward question (in my perception): Is there any study/research/evidence that provides insights on the following question(s): Why is plain-vanilla most common bond in the market? ...
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3answers
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How can we compute the daily drop in gross basis?

Background The implied repo rate (IRR) is essentially the carry for going long basis (buying the deliverable bond and selling the futures contract). For this reason, it rises in value day-by-day as ...
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1answer
1k views

Conversion factor and CTD Bond

I'm reading the book 'Options, Futures and Other derivatives' an having a hard time to understand Conversion factor and CTD bond. Conversion factor I understand this as a factor to adjust the price ...
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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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3k views

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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2answers
152 views

How should we calculate the duration of a convertible bond?

For callable bonds we can use the effective duration to approximate the modified duration, since the future interest rates will affect the expected cash flows. For convertible bonds the underlying of ...
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1answer
147 views

Bond discounting conventions

during the preparation for my thesis, I've come across some strange discrepancies between literature and the information I've been taught. It comes down to the proper way of discounting cash-flows of ...
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0answers
65 views

Question on bond pricing [closed]

Excuse my naivete, but I have a simple bond math question. I was asked to calculate the duration for a 10 year bond at 12%, with a refinance at year 5 at par, and 20% amortization. I started by ...
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How does one price the market value and estimate the fair value of a bond futures roll?

Consider the current situation: we are entering December, meaning that the December futures are being rolled into the March futures (i.e. traders are selling their holdings of December futures ...
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What are industry-standard terms for MBIS “situational bid”?

In the data feed from Municipal Bond Information Services there is a field called "situational bid", which is defined in their reference as "Bids on a security that is being offered for sale." If I ...
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2answers
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Why use par-value weighted average when valuing portfolio of bonds?

I'm looking at a formula for valuing a portfolio of different bonds that sums the market value times the par value for each bond. Conceptually, why are the bond values weighted in this way by their ...
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162 views

Bond dynamics in Ho Lee model

The short rate in the Ho-Lee model is given by : $$dr_t=\left( \frac{df(0,t)}{dt} +\sigma^2t\right)dt + \sigma dW_t$$ I'm trying to find the bond dynamics given by : $$dP(t,T)/P(t,T)=r_tdt-\sigma(...
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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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2answers
55 views

Why is the yield return preferred to the price return for selecting hedges for bonds?

For evaluating a hedge for a bond, I noticed that we often look at the yield return correlation between the two instruments, instead of the price return. Why is that? To me, the price would make more ...
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1answer
174 views

Observed market price for the August-Greece-paid bonds were the NPV of the bond or of an option?

The bonds which Greece has paid had been valued by market as junk once, just before their payment. Given that the observed market value is the net present value of the instrument, why were they so low?...
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1answer
131 views

Sovereign bond CDS data

Does anyone know where I can download from historical data for sovereign bond CDS (credit default swaps) rates? preferebly free?
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1answer
61 views

Calculating value of bond

The bond has a facevalue of 40 and maturity of 20 years. It produces 0 coupon payments during the first 6 years but pays coupons of 2 annually during the last 14 years. The discount rate is 7%. The ...
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1answer
56 views

Markowitz portfolio risk with PV01 instead of variance

As the PV01 ($= dpdy \times notional$) of a bond is a measure of its risk, as well as its price return variance, could we measure the risk of a bonds portfolio with the Markovitz portfolio variance ...
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Monte Carlo VAR with differente asset classes

I have found a very useful post regarding the use of Monte Carlo simulaton to obtain portfolio Value at risk, based on Cholesky decomposition, random variates, etc. This post I'm talking about is: Is ...
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2answers
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“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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2answers
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Why do constant maturity bonds account for modified duration?

One can create a constant maturity treasury (CMT) by building a zero coupon discount curve and generating constant maturity bonds from that curve. This allows one to look further back than is possible ...
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2k views

Modified or Macauley Duration in python

are there any existing python modules that can calculate Modified and/or Macauley Duration of a bond.
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2k views

What is the intuition behind the fact that Modified duration = Macaulay Duration / (1+r)?

I understand the derivation of both:take dP/dR and divide by P which will give you both 1) modified duration OR 2) macaulay duration / (1+r) (notice the weighted average time built into the function ...
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1answer
979 views

Bank discount yield and money market yield

I have a question regarding Bank Discount Yield and Money Market Yield for US TBill. Some books mentioned that ...
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2answers
77 views

credit spread ajustment considering currency

I would like to understand what is credit spread basis currency ajustment. credit spread implied by a usd bond won't be the same as one implied by a chf bond, isn't it ? Do you have any elements (...
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1answer
61 views

Bond is maturing in 10.25 years, YTM calculation

Bond is maturing in 10.25 years and has an annual coupon rate 4.15% paid semiannually and price 92-12+ I need to calculate yield to maturity Ok so I know that 92-12+ is basically 92 + 12/32 + 1/64 =...
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1answer
442 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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1answer
81 views

Bond Overall Return vs Yield to Maturity

I've been working on what I had hoped to be a simple model demonstrating that a bond "returns" its yield-to-maturity over its life. However, whatever data I use, I end up with a return that is a ...
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6answers
318 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 ...
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1answer
42 views

Question regarding coupons for government bonds

I was looking at government bonds/treasuries and I wondered if my line of thinking is correct: 1) In general, how is the coupon set? I found out that usually they are auctioned for (a bit) less than ...
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2answers
128 views

Why does the YTM equal the coupon rate at par?

I know the YTM of a coupon bond is the interest rate $i$ which verifies $ P =\frac{C}{(1+i)} + \frac{C}{(1+i)^2} + ...+ \frac{C}{(1+i)^n} + \frac{F}{(1+i)^n} $ where $P$ is price, $C$ is the coupon ...
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0answers
28 views

Bond Index Return from Yield Curve Data [duplicate]

I am trying to compare fund returns with benchmark returns. I have some yield curve data (some of them calculated by Bloomberg) but not bond price or return data. Is there any way to get bond returns ...
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2answers
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Can two bonds have same yield and price but different convexity?

In the market, if there are two bonds that have the same yield and price, then the higher convexity bonds will be more attractive. However, this would mean the market would increase the price of the ...
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3answers
1k views

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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1answer
44 views

What discount rates should I use to price municipal bond with unknown market price

I have a payoff structure but I do not know the price of bond. The bond is municipal. What discount rates should I take for each period in order to calculate its fair price?