Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

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.

0
votes
0answers
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 ...
0
votes
0answers
21 views

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 ...
3
votes
0answers
70 views

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 ...
1
vote
0answers
36 views

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....
2
votes
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 ...
1
vote
1answer
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 ...
0
votes
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 ...
1
vote
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"...
0
votes
1answer
97 views

Calculation of Bond returns [closed]

Given that I have a portfolio of High yield bond with USD 50.
3
votes
1answer
143 views

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 ...
3
votes
0answers
52 views

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 ...
1
vote
0answers
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 ...
1
vote
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 ...
-2
votes
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? ...
1
vote
1answer
148 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 ...
1
vote
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 ...
2
votes
3answers
79 views

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 ...
1
vote
0answers
24 views

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 ...
1
vote
2answers
84 views

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 ...
5
votes
1answer
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(...
2
votes
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 ...
0
votes
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 ...
3
votes
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 ...
1
vote
0answers
60 views

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 ...
1
vote
2answers
76 views

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 ...
0
votes
1answer
62 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 =...
0
votes
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 ...
0
votes
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 ...
2
votes
2answers
129 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 ...
2
votes
3answers
211 views

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 ...
2
votes
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 ...
1
vote
2answers
167 views

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 ...
1
vote
0answers
116 views

Duration of a FRN in continuous time interest rate model

This question was inspired by my attempt to understand the duration of a floating rate note, or FRN for short. Several answers, like this, say the duration of a FRN is just time to next coupon payment....
3
votes
1answer
144 views

Bond PDE under an Affine Jump Diffusion model

Under the Jump extended Vasicek model, the dynamics of the short rate are as follow : $$dr_t=\kappa(\theta-r_t)dt+\sigma\sqrt{r_t}\,dW_t+d\left(\sum\limits_{i=1}^{N_t}\,J_i\right)$$ where $N_t$ ...
1
vote
1answer
63 views

Inflation Lag Bond Valuation

Question: On 1st March 2006 a government issued a large tranche of an index-linked bond having a term of 6 years. Coupons of 4% p.a. were payable half-yearly in arrears and the bond was redeemed at ...
0
votes
1answer
115 views

What is the value/price of a bond paying floating rate

I am going through J.C.Hull for swaps. Where he says we can value a swap using bonds. Let $B_{fl}$: value of floating rate bond, $L$ notional principal. Why is $B_{fl} = L$ just after a payment ? What ...
1
vote
0answers
86 views

Convertible bonds pricer - implementation

Where I can find numerical implementation (in any programming language) of convertible bonds pricer based on the following article: E. Ayache, P. A. Forsyth, K. R. Vetzal, "The Valuation of ...
1
vote
1answer
127 views

Intuition and reasoning behind conversion factor calculation for bond futures

I am currently reading the chapter on bond futures from J.C. Hull. The author states the procedure for calculating conversion factor as The conversion factor for a bond is set equal to the quoted ...
-1
votes
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?
1
vote
3answers
85 views

heding bond risk with swap

How would a bond trader hedge his/her interest rate risk? A nature way is to hedge it with interest rate swap. Is this a choice in practice ? is their any risks associating with this hedging strategy. ...
0
votes
1answer
120 views

Why is the number of accrued days equal to one on coupon dates for NL/365?

Accrued day should be zero on coupon dates. This is true for all day count conventions. However, I found that Bloomberg returns 1 accrued day on coupon dates only for NL/365 day count. Bond example: ...
0
votes
2answers
154 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 ...
0
votes
1answer
134 views

Units of Modified Duration and Macauley Duration

I know that the unit of the mod. Duration is % (actually no unit, because every number can be written as %) and the Macauley Duration has the unit time. If you want to convert the Macauley Duration ...
1
vote
3answers
154 views

YTM of “very-seasoned” bond issues

There is a liquidity premium between on-the-run treasury issues and off-the-run issues with similar characteristics. This is why when building a yield curve, typically on-the-run issues are used to ...
0
votes
0answers
33 views

Pricing European Call on Coupon Bond in Lattice

What's the best approach to pricing a par call option on a coupon paying bond? Is it to discount the greater of the price and strike through the lattice? And for this, is the price used the dirty or ...
-1
votes
1answer
85 views

How to compare bonds in terms of volume traded in Bloomberg Excel Add-in?

I want to compare how much bonds of a handful of companies have been traded over the last years and pick the most traded bond for each company via the Excel add-in. One example of what I have tried ...
1
vote
1answer
148 views

What's the most accurate benchmark index for US corporate and treasury bonds

I'm looking for an index for US corporate bonds and US treasury bonds to benchmark my strategy. I could easily use some ETFs as the benchmark for the recent years but I need data for the time range <...
0
votes
2answers
50 views

Australian Treasury Bonds - Price Calculation with Accrual

In this document ASX Interest Rate Derivatives (on page 7) the Australian Commonwealth Treasury Bond (paying semi-anually) is valued as $$ P = v^{f/d} \cdot \left(\frac{c}{2} + \frac{c}{2}\cdot\sum_{...
0
votes
1answer
78 views

different Z-spreads for a same company

A same company has two different bonds. I expected the Z-spread to be close for both bonds (since my representation of the Z-spread is the spread due to credit-risk proper to the company). Here is an ...
0
votes
1answer
174 views

How to compute bond drawdowns?

I came across a very interesting article which shows a picture with the drawdowns bondholders would have faced by investing in Fixed Income since 1919. The data is based on the Moody's seasoned AAA ...