Questions tagged [yield]

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46 views

YTM calculation of a portfolio

Should I take in count future which are used to lower the duration to calculate the portfolio's YTM ? (Bloomberg calculate portfolio's YTM without Future) Im currently doing the weighted average. I ...
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45 views

Yield to maturity of amortized bond

I have an amortized bond with maturity at 30.04.2023, a semiannual frequency, 10% coupon rate, 30Е/360 day convention, and a clean price of 104.9367. Also, there are two amortization payments: 300 at ...
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1answer
59 views

Long Breakeven inflation

I want to go long bei by going long individual 10 year tips and short individual 10 year treasuries. How do I calculate and match the duration?
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62 views

Schedule, Yield-to-Maturity, and NPV of Fixed Rate Bond from QuantLib Python

I would like to price a fixed rate bond using QuantLib Python. The pricing is fine, however I would like to understand how to extract the Yield-to-Maturity (YTM) of the fixed rate bond, that is, the ...
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2answers
97 views

Problem with bond.bondYield Quantlib

I'm having issues with a simple FixedRateBond bond yield calculation using QuantLib: ...
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1answer
73 views

Bond Future and Bond Yield relation

I recently read, that yield changes during a short time window can be approximated by dividing the returns of futures on the bond by its Duration. Has anybody heard this before and can shed some light ...
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90 views

How to bootstrap zero coupon rates and what is the relationship with par yields

I understand the basic logic of bootstrapping zero coupon rates (take a bond, discount each cashflow at the prevailing/previously solved zero rate, and solve for the last rate at the last cashflow). I ...
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3answers
300 views

Carry and Pull to Par of a bond

I am of the understanding the true carry of a bond is yield - repo rate. And not simply coupon + repo cost because this doesn’t ...
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43 views

TNote Futures contract YTM vs yield on bought notes? [duplicate]

I understand how to calculate the yield on a 10 yr TNote based on face, price & coupon. I don’t understand why the yield (and price) on a futures contract about to expire is so different than the ...
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3answers
142 views

Interpolating a yield from two yields (giving more weight to one of the two)

I would like some guidance with the following please. Suppose I have two yields: ...
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2answers
96 views

Hull's book par yield example [closed]

In Hull's book (9th edition), on page 83, there is a simple example of par yield: I am a bit confused when it says "this has semiannual compounding because payments are assumed to be made every ...
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4answers
69 views

corporate bonds - general questions [closed]

Newbie here and not trading IRL but for a school assignment. I want to buy corporate bonds because they are a safe bet from what I read. I have a few questions though, I hope I will find an answer ...
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1answer
71 views

Calculating the cumulative probability of default from recovery rate, yield and coupon rate

I have the following details: A 10-year U.S.Treasury strip has a yield of 6% and a 10-year zero issued by XYZ Inc, rated A by S&P and Moody's, has 7% (semi-annual compounding). Assuming a recovery ...
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1answer
345 views

ICVS 133 Bloomberg Curve

This could be a very dumb question but as I'm making my debuts as a Quant and some things have to be clarified as I'm mostly on my own and no way of asking questions to more experienced quants. I'm ...
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1answer
82 views

Which relation stands between IRR and the cumulative profits?

In the graph below you can see an irregular Cash Flow. The graph is cumulative, on the y axes there are moneys, on the x the dates. In the second graph the IRR (...
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1answer
965 views

How to compute par yield from zero rate curve?

How does one calculate the below two-year par yield given the zero rate curve: Assume the following two-year zero rate curve, with continuous compounding: ...
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2answers
125 views

FED rate cuts don't exist

I would just like to confirm my understanding of how the FED controls interest rates. In my view there's no such thing as changing an interest rate. Because rate/yield is just an effect of price ...
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1answer
49 views

Agency Fixed Rate RMBS Yield Decomposition

I'm trying to find the best way to decompose the yield on an index of fixed residential MBS securities and want to open up the question to the community. The goal is to look at this from a ...
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1answer
69 views

reason behind bond yield diverge for bonds with the same maturity during 2008 crisis

I was told that the following two US treasury bonds diverged in yields during 2008 crisis up to 80 bps. what was the reason for it ? They are both matured in 15th Aug 2015 but has different coupon ...
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1answer
48 views

Calculating coupon yield and continous compounding

I need to calculate the yield of a 2 year Coupon Bond. Price = 98, Coupon = 3.5, N = 100. Now when I try to solve this, I arrive at the equation: $$ 98 = 3,5*e^{-y}+103,5*e^{-2*y} $$ But I can't ...
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1answer
296 views

How to get the price of a bond if the yield is given or viceversa in QuantLib

For example Can u provide with a detailed example please if i have ( maturity, issue date, coupon, frequency, days_countbase, (price or yield) what is the (yield or price given this information. ...
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0answers
33 views

Time and asset weighted rate of return of a portfolio

If I have a portfolio with 3 initial assets on day 1 (say, stock 1 with beginning market value of \$100, stock 2 \$150 and stock 3 \$175) and after 10 days the stock 2 is sold for \$200, how can I ...
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0answers
69 views

Should the NPV be equal to zero in liquid markets? [closed]

My question is actually very simple. I would like to motivate it by bringing the following example: suppose we have a (conventional) bond which generates $CF_1;CF_2;...;CF_n$ cash flow (for ...
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1answer
148 views

Computing T-Bill Yield across leap year boundary

Consider this T-Bill (912796TE9) that was purchased on 2019-10-30 and matures on 2020-02-06: I'm trying to work through some of the basics of the yield calculation. The days until maturity is 99. (<...
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0answers
341 views

Relationship between ROE and IRR

In the textbook I read the following: We can increase the present value of a share of common stock with a new investment only if $ROE > r$ , where $r$ is a discount rate (capitalization rate). ...
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369 views

Expected Yield to Maturity & Default Risk Premium

For a corporate bond, which natuarally has a default risk, the expected yield to maturity (EYTM) is defined as the probability-weighted average of all possible yields. Hence, for a 10-year zero-...
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1answer
360 views

Hedging EURUSD with negative rates

I was reading an article and i saw this : Fund managers based outside the eurozone can profit from buying Europe’s negative-yielding government debt thanks to an uplift from hedging the currency. ...
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1answer
76 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 ...
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4answers
2k 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 ...
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0answers
30 views

How to modify EMSR when capacity for each fare class is different

In the normal EMSRa and EMSRb algorithms (EMSR= expected marginal seat revenue), each fare class is utilizes exactly 1 unit of capacity (for eg. one seat on a plane). But I have a similar problem for ...
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1answer
121 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 ...
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4answers
10k 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) : “...
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1answer
396 views

Yield Curve Flattening Trade

Relatively simple question, but came upon it in class and have not been able to come up with an answer: The two-year bond yield is equal to 4% while the 10-year one is equal to 10%. You want to put ...
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1answer
201 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....
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264 views

Calculating historical volatility and returns from bond yield

I am interested to calculate the historical volatility and returns from a time series of US 3m T-bill yield (see screenshot below), for portfolio optimization. I am not too sure how to bridge the idea ...
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0answers
107 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 ...
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1answer
49 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 ...
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46 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?
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3answers
165 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 ...
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2answers
1k 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 ...
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1answer
885 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/...
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1answer
185 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 ...
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1answer
164 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. ...
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2answers
823 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-...
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4answers
317 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 ...
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3answers
388 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 ...
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1answer
213 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 ...
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1answer
466 views

Dividend Yields of the S&P500

Straightforward question; Is it possible to find dividend yields of the S&P 500 on a daily basis (or at least the dividends of the S&P 500)? I have been looking everywhere and can't find ...
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1answer
96 views

Bond ETF Dividends

Bond ETFs usually make monthly dividend payments. The ETF manager receives quarterly or semiannual coupons on the underlying bonds in the ETF. What is the time delay between the coupons received and ...
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2answers
371 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 ...