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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2answers
47 views

How are repo rates / repo haircuts determined?

Sorry if this question is a little too basic but what determines repo rates? Not like "they are OTC transactions so they are determined directly between counterparties" but like what is the ...
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1answer
35 views

Can both good buying and good selling cause a bond to go special on repo?

A bond is known to go special when its repo rate gets particularly low relative to the GC (General Collateral) repo rate. In my mind, this can be caused by two scenarios: 1. Institutional interest to ...
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What are the practical costs of repo for a bond trading desk?

I appreciate what a repo/reverse repo transaction is, but I'm struggling to understand exactly how the cost of funding trades via repo works from a practical point of view for a bond trader. Current ...
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42 views

Yield-to-maturity (YTM) vs effective annual rate (EAR)

If the yield-to-maturity (YTM) on a bond is 5%, is the effective annual rate (EAR) on the cash flows associated with the bond also 5%? I know that YTM does account for the present value of a bond's ...
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1answer
130 views
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Is this simple model used to calculate the interest rate duration and credit duration of a floating rate note? Other models?

I found this model for floating rate bonds in a book I am reading and I am wondering if it is used anywhere in practice? $$MV=\frac{\frac{(Index+QM)\cdot FV}{PER}}{\left(1+\frac{Index+DM}{PER}\right)^...
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1answer
71 views

Why do a callable bond always have higher yields?

In an american callable bond there is an expectation for the issuer to prepay its debt prior to maturity. I understand that this reduces it's value and therefore, higher yield. But another way to ...
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3answers
69 views

How to calculate a Corporate Bond Transaction Price (Bond returns?)?

I am struggling with the concepts and variables of corporate bonds returns. Bai, Bali and Wen (2019) define monthly corporate bond returns as: Where where is transaction price, , is accrued ...
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45 views

Implied repo rate from carry component

Carry is coupon income + pull-to-par - financing cost. Pull to par is derived as ytm-coupon. So carry can be rewritten as ytm - financing costs. Carry cash value is the current dirty price minus the ...
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Hypothetical yield for a government perpetuity

I understand that with interpolation or bootstrapping one can determine spot rates given other spot rates, however how would you go about establishing what a hypothetical perpetual bond issued by, say,...
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3answers
111 views

How does the term premium of the 10y20y Treasury forward rate relate to the 30y rate?

I'm reading recent research on Treasuries and to paraphrase, it says that long term 10y20y Treasury forward rates now have a positive term premium over the long run nominal funds rate (neutral rate). ...
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Carry & Roll, roll down current curve valid assumption?

The assumption for calculating the roll of a fixed income instrument is that you roll down the current spot curve. So if 10y rate is 2% and 9.5y is 1.8% the carry for the coming 6 month horizon is ...
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1answer
50 views

Valuing Bonds With Continuous Coupon Yields

How do I find the value of bonds with continuous coupon yields and interest rates that are both a function of time? The bond has a redemption of 2000 at time $t=2$ and pays continuous coupon payments ...
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24 views

Price of a zero coupon and fisher Weil duration

Suppose that the spot rate curve (continuously compounded) is 2% for t less than or equal to 9 years, and the forward rate f(9,t) is 7% (continuously compounded) for t > 9 years. Suppose you have ...
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1answer
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Total return of a bond using spot rates

Suppose that the current spot rate curve (annually compounded) is s1=0.2%, s2=0.8%, s3=1.2%. Assume that one year from now, the spot rate curve will be s'1=0.8%, s'2=1.4%, s'3=1.8%. Consider a 3-year ...
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134 views

Construct a zero coupon bond

Suppose a 3% 10-year bond is trading at 89 and a 7% 10-year bond is trading at 97. Then (assuming no arbitrage) the price of a 10-year zero-coupon bond would be: The answer should be 83. How using ...
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1answer
23 views

estimate credit bond price out of trading hour

How to estimate a credit bond's price out of trading hour ? For example, how to estimated an U.S credit bond's price at 8am london time, when the US bond market is closed? We can decompose a credit ...
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Implicit Scheme for Cox-Ingersoll-Ross Model PDE

I am considering the PDE for the price of a bond $V(r,t)$ with maturity $T$ under the Cox-Ingersoll-Ross model, $$V_t+\frac12\sigma^2rV_{rr}+\nu(\theta-r)V_r-rV=0\quad r>0, t\in(0,1)$$ with ...
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25 views

Can the carry of bond future be approximated by conventional yield and implied repo?

I have a question regarding bond futures, carry and convenience yield $y$. Suppose we look at the cheapest to deliver bond for a bond future. Suppose the CTD has a conventional yield of $-0.72$ and ...
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0answers
46 views

Comparing swaps with bonds

Swaps and bonds have a lot of similarity although one is a security and the other is a derivative. For example, libor for swaps is like repo rate bonds (thinking them both as the funding leg) fixed ...
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31 views

For a bond, what is the formula for expected loss?

The expected loss equals PD * LGD * EAD, meaning probability of default times loss given default times exposure at default. I get how we can get PD and LGD, but what is the exposure at default (EAD) ...
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1answer
127 views

Bloomberg bond clean price and accrued amount differs from Quantlib

I'm getting the different bond clean price from Bloomberg and from QL but surprisingly Bloomberg price matches with excel price() function I have the following bond : GETC21117030. The parameters are ...
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4answers
109 views

US Treasury - IEF vs ZN Cumulated Return Comparison

I have been trying to explore the possibility of replacing my IEF (10 years treasury ETF) positions with ZN (10 years treasury futures) for better leverage. Reading the posts here, I understand that ...
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86 views

Calculating discountmargin using flat yield

How do you calculate the discount margin of a floating rate bond using flat yield? What is the formula?
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1answer
79 views

How does the yield of a floater change when the discount/required margin changes?

On this site: https://ebrary.net/14293/economics/actual_floater, it says that the yield of a floater is deteremined like this: That yield is determined by assuming the coupon rate on the floater is ...
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84 views

Bond price under the risk-neutral measure

Could you point out where I am making mistake in the process below? It follows from the term structure equation and the Feynman-Kac theorem that the bond price is given by $ p(t,T) = E_t^Q\left[ \exp\...
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96 views

Derivatives to short municipal bonds based on cryptocurrency [closed]

Can you short municipal bonds with a cryptocurrency derivative? This is notoriously impractical in traditional finance, but there could be a crypto-based derivative designed around it. Is this a thing?...
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571 views

Why would a default bond still being traded 1 year after the maturity date

for example, XS0458566071. it is supposed to mature on 21th Oct 2019, but it is still being traded in 2020 with price of around 1 euro
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What are clean price and accrual of a called bond

I found that after a bond is called (after the call effective date), BBG still shows bond prices for a few more days. Take XS1648303813 for example, it is called on 24th Sep 2020, but it has prices ...
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2answers
154 views

How does one calculate carry-roll-down theoretically assuming expectations of short-term rates are realised

I am not asking for an explanation that is hugely quantitative, but rather one that is more intuitive. I am aware that there are different assumptions that one could take when it comes to carry-roll-...
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340 views

When would a bond be traded flat?

when would a bond trade flat. I.e, accrual is not taken into account in the dirty price? For example US040114HR43 is currently being traded flat.
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Return of a bond held to maturity and realised forward rates

Let's assume that forward rates are realised as part of a carry-roll-down scenario. The gross return of a bond under the realised forward assumption to maturity is: $\frac{c(1+f(2))(1+f(3))...(1+f(T))}...
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Bond Convexity & Interest Rates [closed]

I am having trouble understanding the convexity of bonds and the relationship among bonds with different convexities. Exactly what is convexity and what is a simple way to For instance, how is it ...
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164 views

Is there any source that describes Wall Street quotation conventions for fixed income securities (e.g. corporate bonds)?

For instance, high yield corporate bonds tend to be quoted by price and investment grade tends to be quoted by yield. Is there any source that describes such quoting conventions, or corporate bonds ...
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1answer
161 views

Asset Swap Spread

A Bond's Asset Swap Spread is defined as the difference between Bond's Yield and the Risk free rate. Then I was told that, the Present value of the Bond's Asset ...
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178 views

Why does the coupon effect mean that higher yields do not necessarily mean that a bond is more attractive?

In Tuckman, it says "The fact that fairly priced bonds of the same maturity but different coupons have different yields-to-maturity is called the coupon effect. The implication of this effect is ...
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1answer
77 views

How does this formula for the price of a bond in terms of forward rates work?

I am currently reading Chapter 3 of Tuckman's 'Fixed Income Securities' and it states that we can write the price of a bond using its term structure in terms of forward rates but with periods of ...
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4answers
194 views

The effect of coupon frequency on the price of a bond

I'm trying to prove how coupon frequency affects a bond price. I get it intuitively but I have not found a math proof. Could you help me?
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1answer
53 views

Valuation of Floating Rate bond

Let say, I have some floating rate bond where the coupon depends on 6-month Libor with semi-annual payments. In a typical text-...
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1answer
93 views

The meaning of balance sheet intensive instruments

What does it mean for an instrument to be "balance sheet intensive"? I found people mean it different things. People say bonds and repos are balance sheet intensive. Some say swaps are ...
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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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1answer
57 views

Relationship Between Yield Curve and STRIP Prices

Suppose at different maturities (e.g., 1 year from now, 2 years from now, 3 years from now, etc.), the price of a STRIP security is consistently decreasing as the maturity increases all else held ...
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1answer
58 views

How can the face value of a bond not be a round number?

I'm reading Bruce tuckman's "fixed income securities" and I'm at the section that is explaining arbitrage. In the chart below, the cash flows are based off the biannual interest rates * the ...
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1answer
105 views

Basel compliant Bonds

Recently in India, one of its largest banks issued something called Basel-3 compliant bond. Details here - https://www.business-standard.com/article/finance/state-...
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Immunization of Portfolio of Bonds

I have a question regarding immunization portfolios that are continuously compounded. Suppose we have the following three bonds: Bond 1: one year zero coupon with principal of $100 Bond 2: two year ...
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1answer
103 views

Market price of risk of different maturities

T. Bjork Arbitrage Theory in Continuous Time Proposition 23.1 "Assume that the bond market is free of arbitrage. Then there exists a process $\lambda$ such that the relation $\frac{\alpha_T(t)-r(...
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3answers
127 views

Bond prices and probability of default

We learn in Finance 101 that the price of a bond is the present value of future cash flows. There is no mention of default risk. Still, bond prices move each day, without a change in the payment ...
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Mismatch of periods with numeraire compared to the forward rates

In Joshi's The Concepts and Practice of Mathematical Finance Page 323--324 I believe that there may be a mismatch of periods with forward rates: Consider time partition $t_{0} < ... < t_{n}$ ...
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123 views

Nelson Siegel Model calculation of the zero bound price at time zero that expires in 2 years

I am somewhat stuck and not sure how to proceed, so any help would be appreciated. I got the Nelson Siegel model with all parameters for the real data. The curve that is produced is yield vs maturity. ...
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1answer
369 views

understanding carry for Fixed Income Securities in Pedersen

I'm following the famous paper Carry of Pedersen et al. I have a particular question about the section Global Fixed Income Carry. My main questions are around equation 15. They define Carry as $$C_t:=\...
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1answer
155 views

If I have the present value of an amortizing bond's cashflows, how do I figure out price?

Say that I correctly compute the sum of cash flows of a given bond. How does this relate to the quoted price that most people understand? IE, based on the sum of cashflows I derive a PV of 5,000,000 ...

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