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
277 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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98 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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705 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
818 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
440 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
246 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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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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329 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
18k 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
505 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
395 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
217 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
1k 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
210 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
123 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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1answer
750 views

Duration calculation with negative cashflows

I have a pool of (mortgage) assets that pay cashflows as below. How could I correctly calculate the duration? Does it have a meaning in the sense of a vanilla/callable bond as the measure of price ...
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1answer
187 views

Theoretical price of bond : utility [closed]

Why should one calculate the theoretical price of bond if there is already a market quote ?
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1answer
3k views

Why does a barbell portfolio have higher convexity than a bullet porfolio

I cannot quite understood absolutely why a barbell portfolio has higher convexity than a bullet porfolio. I can easily understand how the parallel line represents duration but I cannot see what the ...
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1answer
145 views

Trying to understand T-Bond futures settlement. What am I missing?

Here's a puzzle I encountered when trying to understand how treasury bond futures (/ZB) are settled. Supposed I am short 1 September ZB contract at \$170, and on its last trading day the contract ...
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2answers
451 views

How can we have negative probabilities in finance? Can we have negative payments in bonds? If not, how else can we have negative probabilities?

In Half of a Coin: Negative Probabilities, the author mentions bond duration. Suppose we have payments at times $t = 1,2,...,n$ denoted respectively by $R_1, R_2, ..., R_n$ and the discount factor is ...
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1answer
189 views

Bond price under Poissonian model of interest rate

Working through an exercise in interest rate modelling and I have the following setup: $r_t = r_0 + \delta N_t$ where $\delta > 0$ and $\lambda > 0$ is the intensity of the Poisson pricess $N_t$...
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1answer
196 views

example regarding zero coupon bonds

This example is from Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective by Carmona, René, Tehranchi, M R. I am wondering if the calculation is correct?, he says ...
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1answer
50 views

Yield Curve Movement: Risk/Reward versus Safe Haven Demand & Monetary Policy Expectations

UK leaves Europe, credit rating get's downgraded. High uncertainty, higher perceived risk - based on just risk/reward, would expect yields on UK debt to increase. They did the opposite. UK government ...
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2answers
105 views

Do yield curves only show market expectations, or is there more to them?

I am hoping to understand 'Brexit' impact on UK yield curves. Specifically, government liability yield curves (so yields based on UK government bonds - Gilts): The Background On 24th of June - the ...
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123 views

Discount curve from spot rates for bond pricing

I have a bond with the following cash flow and maturity: ...
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0answers
351 views

Bootstrapping bond spreads as in the standard CDS model

Suppose that we have a spread curve $\boldsymbol{s}:=(s_1, ..., s_n)$, where $s_i$ are CDS par spreads. Moreover, assume the standard ISDA model framework, i.e. piecewise constant forward / hazard ...
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1answer
132 views

Calculate historical duration based on current duration & historical prices

Suppose I have today current duration of a bond and it's historical daily prices. How from that I can calculate the historical duration? e.g. the value of duration I would saw if yesterday, week ago, ...
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1answer
1k views

Risky duration formula for what kind of bond?

In a documentation, there is the following formula for "zero interest rate risky duration" of a bond: $\frac{1-exp(-s \cdot T)}{s}$, where $s$ is spread, $T$ time until maturity. What type of bond (...
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1answer
126 views

Calculating IR sensitivity

I'm trying to figure out how to find IR sensitivity of a bond whose time to maturity of a bond is 2 years. Bond pays 10.875 percent coupons yearly. Duration is 1.8 years. How do you find the ...
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0answers
88 views

Bond Duration with Bond portfolio returns

if I have given CRSP bond portfolio returns with different maturities (1m-12m, etc), how is it possible to compute the Future price and the duration? Beside that I do also have the Nelson-svensson-...
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1answer
70 views

Impact of the interest rate volatility in the valuation of a bond

I am currently valuating a bond whose cupons have the following structure: $\left\{ \begin{array}{rcl} H_j-2\% & \mbox{if} & R_j<H_j-2\% \\ R_j & \mbox{if} & H_j-2\%\leq R_j\leq ...
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1answer
527 views

How can I compute zero coupon bond prices from dirty/clean prices of coupon bonds?

I am having problems with computing zero-coupon bond prices. The question is the following: Today is $t$=14.4.2016 and I know dirty and clean prices of coupon bonds expiring at maturities: 4.7.2016, ...
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2answers
712 views

Why Is Bond Time Value Risk Not Considered in Bond Immunization?

I know bond portfolio immunization includes duration and (if the hedging period is longer) convexity matching. These are equivalent to taking the first and second partial derivatives of the bond ...
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1answer
734 views

Why can a swap option be regarded as a type of Bond option?

Why can a swap option be regarded as a type of bond option? My idea: Suppose the swap rate of the swaption is $s$. Now consider a bond option expiring at $T$ with strike, $(P_K)_t = \dfrac{1}{1+s(T-...
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4answers
2k views

Pricing foreign currency bonds - which approach is more theoretically “sound”?

You own a fixed rate corporate bond in foreign currency (let's say JPY). Your domestic currency is USD. Which of the these two approaches do you consider theoretically better? Discount JPY cash flows ...
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2answers
13k views

The Difference between Notional and Par Value of a Bond

I have reached a confusing dilemma regarding the par and notional values of a bond. I have been told that the par value of a coupon bond is $100. However, the notional value of the bond is 1,000,000....
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1answer
456 views

Calculation of Bond Carry from Synthetic future prices

I have only government bond yields with different maturities. How can I obtain sythetic future prices on bonds? After obtained the future prices, I am supposed to compute the return and carry returns.
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3answers
3k views

Default Probability Implied in Bond Prices?

Say I am trying to find the probability of default on JP Morgan implied by the price of their fixed income assets. Can this be done? Are there any pitfalls to this approach? I have heard of this ...
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3answers
20k views

question regarding carry & roll of a bond

I have a simple (and might be a dumb) question regarding the calculation of a bond's carry. If someone doesn't take into account cost of financing (e.g. the repo rate) then the bond's approximate ...
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2answers
103 views

EUR issuance using forwards to hedge FX risk

Trying to think about the right way to hedge a EUR denominated issuance from FX risk only. Say I have an annual pay 20-year EUR bond and I want to hedge the FX risk but take the interest rate risk. I ...
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0answers
436 views

How to calculate the unrealised profit on sinkable bond

How is calculate the unrealised profit on Sinkable Bond when 50% of the bond value already been paid? Is the following method correct: Unrealised P&L = ((Current.Position * Market.Price) - Cost....
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0answers
73 views

Issue on pricing bond using RQuantLib

trying to pricing a simple bond using RQuantLib, but cannot get the right values. For example, consider a bond with 2% annual coupon rate and flat interest rate of 3%, a 5 year maturity, and \$100 ...
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1answer
2k 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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1answer
10k views

Duration of a floating rate bond

It is known that the price $p_t$ of a floating rate bond can be calculated discounting $(L+k)$ the sum of the next coupon payment $k$ and the face value $L$ at the relevant risk-free rate. Hence, ...
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7answers
467 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
659 views

Why QuantLib assumes zero rates to discount factor is continuous?

https://github.com/lballabio/QuantLib/blob/0ec43027834220baf0a554d68de79a159a2c5489/ql/termstructures/yield/zeroyieldstructure.hpp ...

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