Securities which obligate the borrower/issuer to make payments on a fixed schedule. Fixed income securities include sovereign, corporate and municipal bonds, corporate loans, and securitized lending (e.g., ABS). "Fixed" refers only to the schedule of obligatory payments, not the amount, and may ...

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156 views

Incompatibility of Lognormal Forward Model (LMM\BGM) and Lognormal Swap Model

In his paper On the distributional distance between the Libor and the Swap market models (and also in his book about IR modeling) D.Brigo says: 10, 11, 12 are defined in the end of message. Do I ...
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1answer
122 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%. ...
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217 views

What is the algorithm for the Fama-Bliss instrument selection?

Fama-Bliss discount bonds are defined through a straight forward calculation (Famma, Bliss 1987). For the purposes of a project I need to derive forward rates, yields &c. for periods not included ...
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210 views

Market Standard Pricing Models for Fixed Income Securities (Vanilla)

To clarify my heading, I have been searching for a material that consolidates all standard Fixed Income Security Pricing. E.g. ...
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1answer
461 views

Convexity adjustment

I have a problem with the underlying assumption in the future/forward convexity adjustment. If I understand correctly, the assumption is, if I am long ED, I earn money when rates go down and invest ...
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42 views

How does a covered bond characteristics compare to a mortgage security for credit enhancement?

I need help with understanding how does a covered bond characteristics compare to a mortgage security for credit enhancement?
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1answer
219 views

Price difference between bond cash and futures

I used to trade German and US govt. bond futures and I am now having trouble understanding the price difference of these markets against the cash market. For example, the 10 year german government ...
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1answer
72 views

Duration vs. Convexity Contradiction

A lower coupon bond exhibits higher duration, which means higher price volatility with changing YTM. A lower coupon bond also exhibits higher convexity. However, with higher convexity, bond prices ...
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2answers
147 views

Legitimate input parameters for Nelson Siegel Svensson model

I had previously asked this question and have come to better understand the answer with regards to setting the input parameters for the Non-Linear Optimization problem that provides the NSS ...
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1answer
242 views

Setting input parameters for Nelson Siegel Svensson model

I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non-Linear Optimization problem to do this. I am trying to solve: $$ \min_\theta{\sum{(p_i - \hat ...
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1answer
758 views

Principal Component Analysis and Yield Curves

I've been tasked with researching trading strategies relating PCA to trading fixed income futures instruments. Apparently PCA is frequently used in this area. I'm just looking for some references for ...
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2answers
2k views

Par Yield Curves vs Zero Curves

Does it make sense to look at par yield curve for German bonds in the current environment? Because low rates mean that a lot of bonds are trading above much above par (even around 150!). I would ...
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2answers
1k views

30360 Daycount Count Convention to find NPV for Bonds

Using a 30/360 day count convention, how can you value the NPV of these cash flows and the discount factor? I know how to discount cash flows but how does it differ using a 30/360 approach? What is ...
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298 views

Where to find introductory material on leveraged loans?

What are some good, preferably free, introductions to leveraged loans, also known as syndicated loans or bank loans? The introduction should describe the basic mechanics and very importantly provide ...
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1answer
27 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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3answers
100 views

What assets other than bonds are risk free?

I saw a question the other day that said Assume you have only two assets to build a portfolio. Name and explain three scenarios under which a completely risk-free portfolio can be formed? I ...
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1answer
27 views

Fannie Mae and Freddie Mac as substitute benchmark bonds

"The reduction seen in US government debt in the late 1990s has led to a redution in the supply of intermediate and long-term government bonds, and some concern has arisen over this fact. In the ...
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1answer
49 views

Interest Rate and Price of Assets

I have a very basic question about finance. I know that for an asset, the price is inversly related to the yield to maturity, or the interest rate. However, I have three ways of thinking about this ...
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1answer
70 views

Looking for the conventions for EONIA swaps used to define EONIA swap rates

I'm trying to recreate some historical curves using EONIA swap rates. Unfortunately I can't find a concrete specification for the swaps. Without knowing if there are intermediate coupon payments, I ...
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1answer
89 views

API that provides Zero Coupon Bond Yield Curves?

Would anyone know and API or Database where one could access Zero Coupon Bond Yield Curves? Also, is it wrong to use Coupon Paying Bonds Yield Curves and then zero-finding and then bootstrapping to ...
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1answer
83 views

Is it possible for two securities to have the same first 8 characters of a cusip, but differ in the check sum?

CUSIP is a 9 character long identifier. The last digit is a check sum checking the first 8 previous characters. This seems to me that it is not possible for two securities to have the same 8 ...
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1answer
439 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) = ...
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1answer
39 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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1answer
46 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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1answer
62 views

Variance covariance matrix for a portfolio containing bonds also with other asset classes

What should we take for a bond or a zero coupon bond in order to make a variance covariance matrix? For example:- Equities - we take the market price Cash - we take the spot rates Bonds - Do we take ...
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1answer
42 views

Valuing corporate EUR loan of US entity? Which discount rate to use? US or EU?

If a US entity borrows in EUR and I need to perform a DCF valuation on that borrowing, should I use USD based curve (for the appropriate rating) or EUR based curves? In other words do I use the ...
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1answer
91 views

Duration of perpetual bond

I am trying to derive the duration of a perpetual bond with coupon $c$ in two ways: $$D=-\frac{\frac{\partial P}{\partial r}}{P},$$ $$P=\frac{c}{r}$$ $$\Rightarrow D = ...
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1answer
63 views

Do FRN's *always* trade on par on reset days, regardless if the issuer's credit quality has changed?

I keep reading that floating rate notes trade on par on coupon reset days. Is this always true, regardless of changes in the issuer's credit quality since the FRN was issued? It seems probably ...
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2answers
93 views

Corporate bond quote convention

I'm not a quant practitioner, but a student so this may be a very simple question. I was of the understanding corporate US bonds were quoted 1/8 increments and US treasuries in 1/32 increments. Such ...
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1answer
45 views

Constructing NS-Svensson parameters with zero coupon AND coupon bonds

I am in the process of calculating sovereign zero coupon yield curves using the NS-Svensson parameter for a number of countries. Due to data constraints, I would like to use the information from price ...
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1answer
108 views

Calculating discount factors using Nelson Siegel Svensson model

I am trying to understand how to calculate the discount factors $disc(TTM)$ mentioned on Page 9 of this pdf. When I'm calculating the discount factors, mentioned each bond has its own cash flow and ...
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1answer
40 views

Transforming coupon bond returns to ZC bond returns

I am interested in aggregated Amihud ratios measures over bond groups. For a large panel data set with daily bond prices and volumes I have calculated already Amihud ratios per ISIN/day. Naive ...
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1answer
34 views

Term to Maturity when calculating discount function

I am just trying to understand what TTM (Term to Maturity) means in Page 8 of this PDF when calculating the discount function. Is it just the vector representing the difference between the time to ...
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1answer
208 views

Understanding how to obtain Nelson Siegel Svensson 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. I am using the procedure presented in this paper. The way I ...
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2answers
69 views

returns of Bonds and exchange rates

which are the best distributions in order to model the bonds and exchange rate returns distributions. I am searching for a distribution such as the log-normal one of the stocks ( N(m-0.5*v),Sqrt[v])
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1answer
28 views

Daily principal payments, accumulated on yearly basis in excel

I am doing something seemingly quite easy: Prinipal calcuation of a loan. I need to calculate daily principal payments and accumulate it on a yearly basis. So my current implementation look like ...
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1answer
76 views

Effective & Maturity Date Modified Following

I am constructing discount curve for tenor 1 month. First Instrument - PLN_1M_WIBOR has Effective Date on 2015-01-29 (spot). I was wondering what Maturity Date should be? 2015-02-27 or 2015-03-02? I ...
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2answers
440 views

In bond pricing, is negative convexity better than positive convexity?

Say that I have two bonds and one of them has positive convexity and the other negative. Which one is better (assuming that you only care about convexity)? I understand that high convexity is ...
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1answer
1k views

Bloomberg Zero Coupon Rates

As some of your may know from my other posts, I am working on a Dynamic Nelson Siegel (DNS) based relative value trading model. On simulated data (which satisfies all the assumptions) of the DNS it ...
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1answer
102 views

OIS discounting pre and post crises

I have a Dynamic Nelson Siegel (DNS) based rv model. I want to know if I can use pre and post-crises curves interchangeably in my calibration and out of sample testing. I.e. those without OIS ...
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1answer
1k views

Deriving the par-yield curve

Given for example 6 bond prices and their respective 6 cashflows over a time period of 6 years, I have managed to derive the zero-coupon yield curve using the bootstrap method. However, it got lost ...
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2answers
427 views

Matlab; How to specify Coupon frequency for Interest Rate Swap

I'm trying to price an interest rate swap and would like to change the default coupon payment frequency from 1 a year to 2 or 4 a year. I'm using ...
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1answer
4k views

Calculating pre-tax cost of debt

This is a simple problem but I'm not sure about one aspect of it. A company has 15 year bonds outstanding, with a 5% annual coupon, a face value of \$1000, and a current market value of \$1100. ...
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0answers
25 views

Calculating the YTM of a bond with only a calculator [on hold]

How can you solve something like the following, just by using calculator (basically not using a computer): A seven year bond has coupon 5% (p.a.) and current price is 101.46% of face value. What is ...
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1answer
51 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
22 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 ...
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0answers
26 views

Deriving the yield curve from the HJM dynamics

If I know that my model follows a no-arbitrage HJM model: \begin{equation} df(\tau) = \left(\sigma(\tau)\int_0^{\tau}\sigma(u)du\right)dt +\sigma(\tau)dW_{\tau} \end{equation} (where $\tau:=T-t$, ...
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0answers
41 views

Normal Black&Schole model for swaptions isn't working properly

I just wrote two functions in Matlab which calculates the swaption prices based on the Lognormal model and on the Normal model, although I have the idea that the Normal model is wrong because the ...
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1answer
61 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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1answer
64 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 ...