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5
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1answer
147 views

Arbitrage with freshly issued bonds

I recently heard someone mention an arbitrage strategy involving selling freshly issued bonds and buying the "old batch" as it has shown that the liquidity in the fresh batch motivates/drives up these ...
5
votes
1answer
327 views

Definition of gearings, spreads and curve in RQuantLib's Floating Rate Bond function

Consider the RQuantLib package function FloatingRateBond(). This takes as inputs gearings ...
5
votes
1answer
232 views

Use of Girsanov's theorem in bond pricing

Assume that we want to calculate the time $t=0$ price of a bond: $B(0,T) = E_P[\exp(-\int_0^T r_s ds)]$, where $r$ is the interest rate following the SDE $dr_t=k(\theta-r_t)dt+\sigma ...
4
votes
0answers
123 views

Integral-differential equation for forward rates

I am struggling in this question: Let $P(t,T)$ denote the price of a zero-coupon bond (with marturity at time $T$) at time $t \in [0,T]$. As usual, at time $t$ for maturity $T$, the forward rate is ...
3
votes
4answers
553 views

What happens when bond price is less than the recovery rate

I am simulating various price path of bonds, and one issue that came up is the recovery rate. When a bond defaults, the amount you get back recovery rate * principle. This creates a problem if the ...
3
votes
4answers
544 views

Yield of a risky bond

When working with risky bonds, i.e. corporate bonds, what is usually defined as the yield of such a bond? Is it the yield calculated as if the bond was riskless, or is it calculated by properly taking ...
3
votes
1answer
575 views

Pricing a FixedRateBond in Quantlib: yield vs TermStructure

I am trying to price a simple U.S. treasury in QuantLib, using two methods. The first method calls FixedRatebond.dirtyPrice(...), passing in a YTM and other parameters. The second method involves ...
3
votes
1answer
46 views

How can I interpret US treasury?

I try to understand US treasury in the bond markets provided by bloomberg: In this webpage, I have a few questions, for instance taking 12month-Bill: (1) What is the maturity date? I find that it ...
3
votes
1answer
1k views

Calculating instantaneous forward rate from zero-coupon yield curve

I have a big dataset containing zero-coupon bond yields with different relative maturities. I fix a time horizon on my dataset and I want to calculate instantaneous forward rate. I'm going to write ...
3
votes
1answer
792 views

Can the duration of a bond be greater than Time to Maturity

In the case of a vanilla bond I know that the duration will be less than the time to maturity. But I am observing that for a non-vanilla bond, the duration is greater than time to maturity. Can ...
3
votes
3answers
798 views

YTM and current yield

Which of the following statements is correct? a. If a bond’s yield to maturity exceeds its coupon rate, the bond’s current yield must also exceed its coupon rate. b. If a bond’s yield to maturity ...
3
votes
0answers
31 views

Dynamic Hedging for a Bond

Sorry if this question is duplicate. Analyzing the scenario to hedge bond credit risk with CDS. but if Bond price changes CDS notional will not change. is there any way i can hedge this ?
3
votes
0answers
53 views

I want to Derive $P(t)=P(t,T_{n})+\sum_{i=1}^{n}[P(t,T_{i-1})-P(t,T_{i})]$

Derive the pricing formula $$P(t)=P(t,T_{n})+\sum_{i=1}^{n}[P(t,T_{i-1})-P(t,T_{i})]$$directly, by constructing a self-financing portfolio which replicates the cash flow of the floating rate bond. ...
3
votes
0answers
156 views

RQuantLib: any difference between FixedRateBond() and FixedRateBondPriceByYield() with flat term structure?

Please, consider the following functions from RQuantLib package: FixedRateBond() ...
2
votes
3answers
817 views

RQuantLib, Hoadley and Bloomberg YAS: fixed rate bond pricing differences?

I'm trying to price a fixed rate bond one year from now on. The bond is the PEUGOT 7 ⅜ 03/06/18, whose ISIN code is FR0011439975. I'm using such a specific example because in this way everyone can ...
2
votes
2answers
1k views

CTD and bond futures

I am reading a chapter on bond futures in Fabozzi's book. It states that without CF (conversion factor) the CTD (cheapest to deliver) would be the bond with the longest maturity and highest coupon. ...
2
votes
3answers
945 views

What is the clean price and dirty price of a risky bond?

Following up on this question: Yield of a risky bond, what is the definition of clean and dirty prices for a risky (defaultable, catastrophe, etc.) bond? I would think the dirty price should ...
2
votes
1answer
165 views

Pricing a bond contract from the yield curve

When giving a particular class in financial mathematics for a student I saw a problem in a list of exercises that says: How to calculate the price at 15 December 2010 of a bond paying a coupon of ...
2
votes
1answer
102 views

Concise way of learning Bond & IR models

What is the most concise way to learn about bond and interest rate models from the book Mathematical Models of Financial Derivatives by Yue-Kuen Kwok? I have studied Oksendals Stochastic Differential ...
2
votes
1answer
114 views

Help with integrating stochastic calculus expression from yield curve model

I am very rusty on stochastic calculus, and I am having trouble integrating the following simple term from a yield curve model: $$z(t)=\int_0^t\exp(-k(t-s))dW(s)$$ Any suggestions appreciated.
2
votes
1answer
55 views

Bond Interest Rate Swap Growth Rate [closed]

this should not be here because it shouldn't be here forever and eve
2
votes
1answer
364 views

Cost of Carry Bear Flattener

I was reading a report last week that “the carry on a 2s5s gilt curve flattener is negative to the tune of 10bp over 6 months” and I realised I have little understanding of this concept and ...
2
votes
2answers
720 views

Bond Portfolio Immunization - Duration Matching

**Question is at the bottom** Suppose you have a portfolio of bonds A, B, and C with the following characteristics: (the "Frequency" column is the # of coupon pmts per year and also the # of ...
2
votes
1answer
270 views

Pricing credit risky bonds

How do we price credit risky bonds? If I discount the cash flows using LIBOR/zero rates, it won't take the credit riskiness into account. So should I use a rate based on the issuer's credit spread? ...
2
votes
1answer
1k views

Calculate the “ten year zero rate” given two bonds with two prices

I have a little question and need some help with the notation. So, the question goes as follows: A bond with a maturity of ten years that pays annual coupons of 8% has a price of \$90. A bond with ...
2
votes
1answer
53 views

$\frac{1}{p(T_{i-1},T_i)}(A-p(T_{i-1},T_i))^+$ at time $T_i$ is equivalent to a payment of $(A-p(T_{i-1},T_i))^+$ at time $T_{i-1}$

How can I show that payment of $\frac{1}{p(T_{i-1},T_i)}(A-p(T_{i-1},T_i))^+$ at time $T_i$ is equivalent to a payment of $(A-p(T_{i-1},T_i))^+$ at time $T_{i-1}$ ? Where A is a deterministic ...
2
votes
1answer
85 views

How are bond prices quoted in the financial press related to bond yields quoted?

For example in the FT this month a 10 year US bond with redemption date 05/24, coupon 2.50 has a bid price of 99.52 and a bid yield of 2.56. Can one calculate the bid yield from the bid price, red ...
2
votes
2answers
77 views

Positive VaR when calculation on Total Return Indexes?

I recently saw a VaR calculation, and I was wondering whether that calculation made sense. Here the details: 1. Construction of a total return bond portfolio index. By total return I mean that the ...
2
votes
0answers
117 views

How to price zero coupon bonds with the Monte Carlo method?

Im trying to calculate monthly ZCB bond prices with a fixed maturity T, over a period of months via Monte Carlo methods. Here is my attempt: For the first month, the price is $P_{t_0}(0,T) = ...
2
votes
1answer
199 views

What is the hedging underlying of MBS

I am working on hedging agency MBSs using treasury bonds. So my question raise as which treasury bond should more likely be a hedging underlying of a MBS. What is the matching criteria usually for MBS ...
2
votes
0answers
144 views

How to determine risk-free rate of Ecuador?

I have a question in determining the risk-free rate of Ecuador. For developed countries like United States and Great Britain, the risk-free rate can be obtained in financial database such as Reuter or ...
2
votes
0answers
158 views

What is the highest frequency greek for options on futures on bonds?

I'm considering exchange traded options of futures on bonds. Options on bond futures are usually American, thus the Black model is out of question. Which is the most imporatant Greek with respect to ...
1
vote
3answers
142 views

(Beginer on bond market) References on callable bond's pricing

I am searching for references on pricing callable bonds. I've not find any rigorous mathematical approach on the web. All I found was some soft approaches in a discrete framework. Edit: First of ...
1
vote
1answer
73 views

Get discount factors with limited knowledge?

I am facing the problem of just having this information: 6% coupon bond with 2.5 years to maturity, traded at a 100% clean price 4% coupon bond with 1.5 years to maturity, traded at a 98% clean price ...
1
vote
2answers
123 views

Who determine Sport rate curve (Yield Curve)

My study was in a Mathematical modelling, we studied much about theory, equations, how to resolve equation, how to implement, but we don't understand well where these equations come from. My ...
1
vote
2answers
92 views

For the Dothan model $E^Q[B(t)]=\infty$?

How can I show that for the Dothan short rate model We have $E^Q[B(t)]=\infty$ ? Where Dothan short rate model is " $dr_t=ar_tdt+\sigma r_tdW_t$ ". I appreciate any help. Thanks.
1
vote
2answers
81 views

Why is the duration of a bond important?

I know what duration measures, but now in the age of computers why is it useful? If the yield changes, we could just simply plug the new yield into a program, or excel or something like that, and ...
1
vote
1answer
274 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 ...
1
vote
2answers
276 views

Forward rates formulae

I am now working with forward rates and have somehow been asked to use an "intuitive" formula for forward rates. $$ \frac{F(0,s,T)}{F(0,t,T)} = \frac{F(s,s,T)}{F(s,t,T)} $$ I can understand the ...
1
vote
3answers
172 views

Given monthly returns of 10-Year Govt Bond, how to get monthly risk free rate of return

I have a list of monthly returns of a 10 year Govt Bond. I am not sure if this is a good proxy for the monthly risk free rate of return. Can somebody suggest how I can derive the monthly risk free ...
1
vote
2answers
44 views

Incorrect characterization of spot rate?

Is the t in the red boxed $R(t,T)$ supposed to be the same as the S in the green boxed $R(S,T)$?
1
vote
2answers
73 views

Implied Correlation using market quotes

Is there a way to retrieve the implied correlation between stock price and zero coupon bonds?
1
vote
2answers
94 views

Factor immunization for bond portfolio

I'm trying to figure out some kind of immunization using a factor model I developed for interest rates. Here is the basic problem. Let's say that we have a bond portfolio containing $N$ bonds with ...
1
vote
2answers
104 views

How to price an European call on zero-coupon from the yield curve?

It is known that the price of an European call of maturity $T^*$ on zero-coupon of maturity $T$ is given by $$p(0,T)= B(0,T^*)\mathbb E ^{\mathbb Q_{T^*}}\left[ (B(T^*,T)-K)^+\right]$$ where ...
1
vote
2answers
39 views

I want to prove Determine the coupon rate $r$, such that the price of the bond, at $T_0$, equals its face value

Consider a coupon bond, starting at $T_{0}$ , with face value $K$, coupon payments at $T_1, . . . , T_n$ and a fixed coupon rate $r$. Determine the coupon rate $r$, such that the price of the bond, at ...
1
vote
1answer
31 views

Interest rate on loan for purchasing Sterling bond

I am struggling trying to find out where they get the $8$% interest rate for the loan you make to purchase the Sterling Bond in the following strategy: Problem: Suppose that $A(0)$ = $100$ and ...
1
vote
1answer
57 views

How to benchmark bonds?

I am trying to find for each european bond in my database a proper Benchmark to compare them with the Bloomberg benchmarks for bonds. What i have done so far is to extract a list of all government ...
1
vote
1answer
457 views

Interpolating spot rates given intermittent coupon-bond prices.

I'm trying to bootstrap spot rates given coupon-paying bond data. To simplify my problem, assume we are working with only 3 given data, the price/coupon rate on semi-annual bonds maturing in 0.5, 1, ...
1
vote
1answer
303 views

equity linked notes (bull/bear equity performance bonds)

I have to price what my lecturer calls "Bull and Bear Equity Performance Bonds". Basically there's dates $t_i \in [0,T]$, where $t_i - t_{i-1}$ is the same for all choice of $i$. On each date the bull ...
1
vote
0answers
16 views

What does it mean to change the currency of a spread between bonds from 2 different countries?

On reuters I charted the spread between the 10yr US bond and the 10yr UK bond. It gives the me the option of choosing the currency. For just the standard spread(ie: yield(US)-yield(UK)) you select ...