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3
votes
4answers
152 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 ...
1
vote
1answer
49 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
113 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
3answers
201 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 ...
3
votes
1answer
98 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 ...
0
votes
1answer
44 views

Price change of a bond towards yield and YTM

I have been trying to get a good picture of PV01 and DV01(PVBP). I was going through below link. This measure is the absolute value of the change in price of a bond for a one basis point change in ...
1
vote
2answers
56 views

Implied Correlation using market quotes

Is there a way to retrieve the implied correlation between stock price and zero coupon bonds?
0
votes
1answer
112 views

How to price zero coupon bonds with short term rates model?

I want to find the price of Zero coupon bond given a short rate model. I think about Merton, Vasiceck, CIR, Ho & Lee models. 1) Given a simulation of $r_t$ how can I calculate $ P(t,T) = ...
1
vote
1answer
35 views

Yield to Maturity

For a bond with market price $P_t$ and fixed payments $c_n$, I'm told the yield to maturity is given by the solution $Y$ to the equation $P_t=\sum_{n=1}^N c_n e^{-Y(t_n-t)}$. Firstly, I'm not great ...
0
votes
0answers
39 views

Bond pricing by Monte Carlo methods

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
95 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 ...
1
vote
0answers
55 views

Bond pricing with HJM simulation

I'm using Glasserman 3.16 and 3.17 algorithm to price bonds. The algorithms evaluates the forward rates and the discount factor $B(0,t_j)$. My question is: How can I price bonds in a future time? I ...
2
votes
1answer
208 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 ...
1
vote
1answer
75 views

If we modify duration, should we modify bond price? Options Futures and Other Derivatives

In Example 4.5 of Section 4.8 on Duration of Options, Futures and Other Derivatives (p.92), a bond's price and duration are computed assuming continuous compounding where the bond yield is y = 12%. ...
4
votes
1answer
157 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 ...
-1
votes
1answer
55 views

Calculating the sensitivity of the modified bond duration to changes in the coupon rate

Given that $B=Ce^{-y} + Ce^{-2y}+ (100+C)e^{-3y}$ where B is the bond price, C is the coupon. and It is a 3 years annual coupon bond. I want to find $\frac{dD}{dC}$ where $D$ is the modified ...
2
votes
1answer
209 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 ...
1
vote
1answer
168 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
0answers
112 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 ...
5
votes
1answer
140 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 ...
1
vote
3answers
135 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 ...
2
votes
1answer
189 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? ...
1
vote
1answer
70 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 ...
5
votes
1answer
215 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 ...
-4
votes
1answer
52 views

Does YTM represent interest? [closed]

Does a bond's Yield to Maturity represent the amount of interest one gets at maturity even though it's expressed as a percentage? I read that it is a rate of return on a bond at maturity, but what is ...
2
votes
2answers
557 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 ...
3
votes
0answers
136 views

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

Please, consider the following functions from RQuantLib package: FixedRateBond() ...
3
votes
3answers
543 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 ...
2
votes
2answers
686 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
748 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 ...
3
votes
4answers
423 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 ...
1
vote
1answer
282 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 ...
2
votes
1answer
755 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 ...
1
vote
1answer
117 views

Observed market price for the August-Greece-paid bonds where 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 there payment. Given that the observed market value is the net present value of the instrument, why were they so ...
1
vote
3answers
709 views

How to properly interpret accrued interest of bonds

Ever since I work in finance I was wondering what accrued interest (AI) are good for (see the wikipedia article for a short introduction). I think I have a clear picture in mind now and the usual ...
2
votes
0answers
139 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 ...
0
votes
1answer
141 views

How do I check whether OAS value is correct?

How do I check whether the Option-adjust spread value I have retrieved from external calc utility is correct? Can you please tell me the steps to verify this?