Questions tagged [yield]

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11
votes
1answer
2k views

What do eigenvalues/eigenvectors of the yield/forward rates covariance matrices mean?

I have 5 bonds (with maturities 1,2,3,4,5 years) which I calculated the yield curve for 10 days. I also calculated the forward rates from the yield rates. Now I've been told to calculate the ...
8
votes
2answers
17k 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 ...
7
votes
2answers
357 views

Cochrane on Return Predictability

Being a lover of Sir Arthur Conan Doyle's work, I picked up a copy of Cochrane’s 2008 paper, The Dog That Did Not Bark: A Defense of Return Predictability and read: If returns are not predictable, ...
5
votes
2answers
553 views

Intuition behind interest rate models

I am modelling the 3M yield of US Treasuries using an ARMA/ GARCH approach. Most interest rate models (e.g. Vasicek) describe the process as follows: $r_{t}-r_{t-1} = some ARMA+ \epsilon_t $ ...
4
votes
1answer
505 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 ...
4
votes
0answers
266 views

Credit Rating vs Bond Yield

I am looking for some references on quantifying the dependence between credit rating and bond yield. I have some data (found some Bloomberg indices which give average yield based on credit rating), ...
4
votes
1answer
846 views

How to download risk free rate?

I've been trying to download the national interest rates for some countries. When i use Datastream, it only gives me the currency return (while i need yield). Can someone please tell how to ...
3
votes
4answers
1k views

Why does the ultra long-end of a yield curve invert?

The shape of the yield curve (at least in the GBP Rates market) is upward sloping from the front end up to the long end (i.e. 30y), but then begins to become downward sloping as we go beyond 30y and ...
3
votes
3answers
149 views

What's the logic behind 3-10 UST yield inversion predicting recession?

Is there causality, behavioral or logical explanation behind this indicator or is it just purely an observation based on correlation? My guess is that there are existing derivatives with clauses that ...
3
votes
2answers
325 views

What is the yield on an infinitely lived ZCB?

I guess the price of a Zero-Coupon Bond with infinite maturity should go to zero, what about its yield? I am asking this because I was dealing with the yield curve and its asymptotic properties when $...
3
votes
4answers
164 views

Intuitively, why does liquidity premium contribute to bond yield?

According to the Wikipedia, "The upwards-curving component of the interest yield can be explained by the liquidity premium... Liquidity risk premiums are recommended to be used with longer term ...
3
votes
1answer
611 views

Weights Blowing up in PCA

I'm using daily settlement data to get yield levels for a couple of products. From this data I am doing PCA on a rolling collection of the yield levels. I have been using sci-kit learn's PCA function, ...
3
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0answers
2k views

How to calculate yield spread?

I came across this multiple choice question on yield spread and I can't understand why the reasoning for the selected answer is correct.Can you confirm or clarify ? ( emphasis in the text is mine) ...
2
votes
2answers
173 views

Why does the YTM equal the coupon rate at par?

I know the YTM of a coupon bond is the interest rate $i$ which verifies $ P =\frac{C}{(1+i)} + \frac{C}{(1+i)^2} + ...+ \frac{C}{(1+i)^n} + \frac{F}{(1+i)^n} $ where $P$ is price, $C$ is the coupon ...
2
votes
2answers
3k views

Do all bonds of the same maturity have the same yield to maturity?

We've been using this formula to price Bonds. c/y + (100-(c/y))/(1+y)^m where c=coupon y=yield to maturity m=time to maturity Let's take a 10 year U.S treasury for example. Price of existing bonds ...
2
votes
1answer
107 views

Par Yield, Bond Yield and Zero Rate

In the Hull's book, chapter 4.4, it says : The par yield for a certain bond maturity is the coupon rate that causes the bond price to equal it's par value. Then for this question (4.18) : “...
2
votes
1answer
99 views

Difference between Excel's Rate Function and Paul Wilmott's Goal Seek Method for finding YTM

I'm watching some FRM videos teaching how to find YTM via excel's =rate() function and tried getting the YTM using Paul Wilmott's spreadsheet that uses goal seek. I'm getting different results. ...
2
votes
4answers
870 views

Yield-to-Maturity and its assumption

Reading about Yield-to-Maturity (YTM) I found out that two assumptions have to be made: the bond holder must keep the bond until maturity; coupons must be reinvested at the same YTM. Violating those ...
2
votes
1answer
85 views

Why did high yield corporate bond ETFs tank during the great recession

My apologies if this is not mathematical enough for this outlet. My understanding of the pricing of a bond ETF is that lowering interest rates drive the price up and increased risk of default drives ...
2
votes
2answers
130 views

Roll Yield on Options?

I have only recently started looking into options trading, so the question may come off as ignorant. My thought was that for an underlying security that has no special event like earnings. Could we ...
2
votes
1answer
248 views

Duration split: treasury curve vs spread duration

I am looking at corporate bond (FR0013367620) in Bloomberg for which I have these values: DUR_ADJ_MID (modified duration performed using the yield to worst): 6.649 DUR_ADJ_OAS_MID (security's price/...
2
votes
1answer
78 views

Implied credit spread convertible bonds with negative yield

I’m trying to understand what happens to the credit spread of a convertible bond when yields of the convertible are negative. I’ve heard there is an implied credit spread as spreads can’t really be ...
2
votes
2answers
211 views

Why do par-yield shifts grow faster across the curve than spot-rate shifts when looking at key-rates?

Consider the following 10y key-rate shifts of bond par yields and its implied shift of bond spot rates: Assume we have the key-rates for 2y, 5y, 10y and 30y. The y-axis is in basis points, and the x-...
2
votes
1answer
953 views

Constructing Swap Curve from LIBOR

Say I'm considering a long maturity fixed rate swap, for instance 20 years paid semi annually. Now I want to find the fixed rate for this hypothetical swap. I understand that this fixed rate is going ...
2
votes
1answer
878 views

Are there any opensource C# libraries for calculating bond duration and other FI Analytics?

I'm doing some Fixed Income analytics work and wanted to know if there where any opensource C# libraries that I could use in order to avoid writing functions for generic calculations like YTM and ...
2
votes
1answer
2k views

Why is my YTM incorrect? How does accrued interest play into Yield to Maturity?

I'm writing some software that includes a feature to calculate Yield to Maturity for a Bond. I'm using an HP 10bii Financial Calculator to double check the answers produced by my software. I'm running ...
1
vote
1answer
83 views

Why should central bank intervention cause inverted yield curve to be less effective as a recession signal?

Pimco's new CIO Dan Ivascyn believes that the inverted yield curve has become less effective as a signal of impending recession. https://www.bloomberg.com/news/articles/2017-06-22/pimco-s-ivascyn-...
1
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3answers
85 views

Yield To Maturity calculations for risk-free vs risky bonds

For a risk-free bond such as a US treasury bond, the YTM would be solving for $r$ in the denominator of each ($\frac{coupon payment}{(1+r)^n})$ such that the total equals the given price. And such a ...
1
vote
2answers
154 views

What yield on T-bills is presented in obtained data from quantmod?

When I try to find, for example 3 months T-bill rate, how that rate is calculated? getSymbols(Symbols = "DGS3MO", src = "FRED", auto.assign = FALSE) -> t3 tail(t3) ...
1
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1answer
138 views

Yield curve PCA vs real life frequency

The yield curve can be explained using a PCA, where the cumulative proportion explained for many practical purposes is high enough with three factors. For one set of data, used at https://www.r-...
1
vote
2answers
214 views

Using IRR to calculate future value of cashflow

Discounting a cashflow using given forward rates will result in the following present value: PV = 102.875 = ${5\over (1+3\%)}$ + ${5\over (1+3\%)(1+4\%)}$ + ${105\over (1+3\%)(1+4\%)(1+5\%)}$ where ...
1
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1answer
59 views

Proving that YTM > Current Yield on Discount Bond

I’m currently stuck in proving that for a discount bond: YTM > current yield, with: $$\text{current yield} = c \frac{100}{P}$$ with $P=100-d$ the price of the discounted bond and $c$ the coupon rate....
1
vote
1answer
41 views

Why currencies and futures contracts can be considered as assets with known yields?

I understand why stock index can be considered as assets with known yields due to the dividends. But why currencies and futures contracts can also be considered as assets with known yields? In the ...
1
vote
1answer
161 views

Does the YTM for a zero coupon treasury equal the treasury yield curve value for it's maturity?

The title is my question. I think the answer is yes, but I am unsure about it.
1
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1answer
3k views

What are Generic government treasury bonds? (Bloomberg terminal)

I have a project at school were we are supposed to find the generic series for US treasury bonds, and then download daily data for 3 years. I have found the bb ticker, but i don't understand the ...
1
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1answer
45 views

Indexes and return spreads

First and foremost thank you for reading my question, I hope all if you have a Happy Holiday this weekend. On to my question: I am completing an assignment on global sovereign bonds, I've been ...
1
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1answer
57 views

Compute bond price with more coupon payments in a year

If I have a 5-year bond, which pays every six months a coupon of 2.5% with a yield of 1.5%, should I split up the yield to compute the bond price? Or is below the way to compute it? $\displaystyle ...
1
vote
1answer
450 views

Forward Curves and Par Yield Curves

I'm recently reading a research paper on the yield curve by Salomon brothers and in it it states that when the forward curve is above the par yield curve, it is seen as cheaper. If for example, the ...
1
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0answers
63 views

Duration and yield

I have some basic questions about mainly duration and yield. 1) Almost no-one defines what yield they are talking about when talking about duration and discount rate, I've seen some talk about ...
1
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0answers
34 views

Is it possible to estimate the average convenience yield on brent crude oil for 2018?

If it is possible to estimate it, how does one do this, and what is it?
1
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2answers
298 views

Floating rate note value approximation

I was hoping somebody can assist me with a query. Would it be a valid approach to revalue a frn with a discount margin from a comparable bond as par minus the difference between the quoted margin and ...
1
vote
1answer
51 views

Discretizing the conditional variance in the Arbitrage Free Dynamic Nelson Siegel model

for my thesis I am trying to fit the correlated factor arbitrage free dynamic Nelson Siegel model to yield data. I use the Kalman filter to model this but since the model is in continuous time, I need ...
1
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0answers
74 views

How was this probability of negative U.S rates by end 2017 calculated?

http://www.bloomberg.com/news/articles/2016-01-26/bets-on-negative-u-s-rates-by-end-2017-jump-above-10-chance Options markets show some investors are taking out protection in case rates instead ...
1
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0answers
131 views

Moody's seasoned corporate bond yields

The Fed publishes Moody's seasoned corporate bond yields here. These yields are not broken out by maturity. According to this website, the yields represent "long-term" bonds, with minimum and ...
0
votes
1answer
1k views

Constructing yield curve directly from yield-to-maturity data

I'm trying to use Bloomberg yield-to-maturity data for sets of sovereign bonds of different maturities to fit to a yield curve. I looked into using the QuantLib library (the FittedBondCurve ...
0
votes
1answer
149 views

Is it possible to use the YIELD() function in Excel to compute the yield of an Italian government bond?

I'm interested in using the YIELD() function in Excel to compute the yield of an Italian government bond. The bond in question is: 0.750% 15-January-2018 Italian government bonds have special ...
0
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1answer
1k views

Yield curve: Turn of year effect jump calculation

I'm trying to get the values for the turn of year jumps that can be found at section 4.8 of Everything You Always Wanted to Know About Multiple Interest Rate Curve Bootstrapping But Were Afraid To ...
0
votes
1answer
437 views

Why we need compute the clean price

First, is the yield of dirty price is same as the yield of this bond at beginning? If they are same, then the dirty price is ...
0
votes
1answer
111 views

Calculating “Market Index Dividend Yield” of the ASX

In attempts to establish an investment portfolio with a long term horizon, the method of relative dividend yield has caught my attention. I require the Market Index Dividend Yield to proceed. The ...
0
votes
1answer
48 views

Clarification on certain finance terms surrounding bonds

Whilst revising for my upcoming financial mathematics exam I've been struggling to get to grips with certain terms/ phrases used when studying Bonds. I am very new to Finance and get confused very ...