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6
votes
5answers
157 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 ...
4
votes
1answer
195 views

Wrong discount factors when finding Nelson Siegel Svensson model parameters

I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non- Linear Optimization problem to do this. Some of the code I have written is below and this is where my ...
3
votes
1answer
172 views

Issue with OLS Regression for Nelson Siegel Svensson parameters

I have been working on getting input parameters to the Non-Linear Optimization which gives the Nelson Siegel Svensson model parameters and am carrying out the OLS regression as described in this ...
1
vote
1answer
153 views

Observed market price for the August-Greece-paid bonds were 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 their payment. Given that the observed market value is the net present value of the instrument, why were they so ...
0
votes
1answer
31 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 ...
0
votes
1answer
72 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 ...
0
votes
1answer
33 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 ...
0
votes
1answer
68 views

Bank discount yield and money market yield

I have a question regarding Bank Discount Yield and Money Market Yield for US TBill. Some books mentioned that ...
5
votes
0answers
182 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
0answers
65 views

Duality of callable bond price

I am trying to understand the relationship between two methods of pricing callable bonds in the risk-neutral pricing framework. Problem statement Let's consider zero-coupon bond with face value 1, ...
3
votes
0answers
97 views

Yield for valuation of illiquid corporate bond

I am trying to value a illiquid corporate bond issued at a discount to face value by a privately held company in India. The corporate bond is a sinkable bond (amortizing principle) with coupon rate of ...
3
votes
0answers
60 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
198 views

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

Please, consider the following functions from RQuantLib package: FixedRateBond() ...
2
votes
0answers
29 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 ...
2
votes
0answers
286 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
0answers
185 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
172 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
0answers
21 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 ...
1
vote
0answers
28 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) - ...
1
vote
0answers
22 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 ...
1
vote
0answers
31 views

HJM model, existence of arbitrage:

The Setup: Suppose I know the yield curve of a Bond satisfies: f (0, t) = 0.04 for t ≥ 0 and f (ω, 1, t) = 0.06, t ≥ 1, ω = ω 1 , 0.02, t ≥ 1, ω = ω 2 , where Ω = {ω 1 , ω 2 } with P[ω i ] > 0, i = ...
1
vote
0answers
37 views

Where can I find bonds time series?

I want to study dependence and correlation between bonds and CDS. I have already found a large CDS database of time series there: www.datagrapple.com I am looking for such a similar database (with an ...
1
vote
0answers
51 views

state space for affine yield curve

i would like to reproduce in R the working paper " Affine free arbitrage class of Nelson Siegel term structure". The authors considering the equation of nelson siegel plus an adjustment term(C(t,T)) ...
1
vote
0answers
40 views

RQuantLib FixedRateBondPriceByYield() Non-tradable error

How do I use FixedRateBondPriceByYield() function on maturity date that is earlier than today? I get "non tradable error" when applying on date older than today. ...
1
vote
0answers
41 views

Is there a limit to the number of Spot rates than can be calculated from Par Yields

I am just trying to calculate Spot Rates from Par yields. I find that the code below gives very similar spot rates for the data here, yet if I increase the size of the ...
1
vote
0answers
48 views

Please recommend a book regarding Monte Carlo simulation in OAS

I couldn't find a book that explains in details how to use Monte Carlo Simulation to generate a number of interest rate scenarios. And then based on the interest rate scenarios, how to calculate the ...
1
vote
0answers
17 views

Annuity Duration Based on Closed Derivative is half of Effective Duration?

I am analyzing an annuity with a stub. I calculate the effective duration as (P(-10bps) - P(+10bps))/(2*Principal * (.001)) I then take the derivative of the standard annuity formula discounted by ...
1
vote
0answers
126 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 ...
0
votes
0answers
19 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 ...
0
votes
0answers
29 views

Hull white tree and the pricing of an interest rate swap

Currently, I have been able to set up the hull white tree. To price the swap, and we use the formula from Wilmott "Introduces Quantitative Finance", where we use the discount factors for all ...
0
votes
0answers
36 views

Bond portfolio optimization

Problem is that I want to match single country term structure return as closely as possible. What would be best way to construct proxy to do this, with less bonds than in original term structure? I ...
0
votes
0answers
49 views

Bond Convexity: Relationship between discrete and continuous interest rate

The interest rate risk of a bond price $P$ is measured by its Duration: $$D=-\frac{\frac{dP}{P}}{dr}$$ However, the explicit formula for the Duration given a function $P$ is different if $r$ is ...
0
votes
0answers
64 views

Need help on bond pricing

Hello everyone, I'm struggling here with this exercise. At first it seems simple but I'm still not finding the answer. For the 1. I need the YTM but it's not provided. Is there anyone here that ...
0
votes
0answers
23 views

Bond's bid-ask spread with no arbitrage assumption

Suppose I have a bond with unknown bid-ask spread, and a portfolio, containing it and also other bonds, all with known bid-ask spreads. How can the unknown spread be inferred? I assume there should ...
0
votes
0answers
25 views

Is there any research for CoCo-Bond in a two factor model?

Basically I am trying to price CoCo-Bond with the AT1P from Brigo. But in the end this isn´t a two factor model. Is there any concret research about this topic? Kind regards, WLS
0
votes
0answers
20 views

Complex yields occur for some sets of cash flows

My question is not inherently related to Matlab but if there is a solution using Matlab that would be great. I have inherited some Matlab code that uses the function bndyield to get the yield of some ...
0
votes
0answers
310 views

bond price formula in excel

I inherited a excel spreadsheet that has the following code to price a bond given coupon and current yield ...
0
votes
0answers
57 views

Which bond corresponds to which curve?

Bond X has a coupon Bond Y is a zero-coupon bond (Maturity 2 years) Bond Z is a zero-coupon bond (Maturity 10 years) The following graph is given: X-axis: yield curve, Y-axis: price Question: ...
0
votes
0answers
39 views

How to prove following order?

Consider a consol bond, i.e. a bond which will forever pay one unit of cash at $t = 1, 2, . . ..$ Suppose that the market yield $ y$ is constant for all maturities. (a) Compute the price, at $t = 0$, ...