Questions tagged [libor]

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13
votes
2answers
1k views

For which instruments performs SABR/LMM better than LMM?

For which class of instruments the SABR/LIBOR Market Model does perform better than the classical LIBOR Market Model? The LIBOR Market Model The LIBOR Market Model — also known as Brace, Gatarek, ...
8
votes
3answers
5k views

Why banks borrow from each other

I was reading on the topic, and would like to be sure that my understanding is correct. For the benchmark I would consider American banking system as I've mostly used sources such as FRS and Federal ...
8
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1answer
2k views

Where do swap rates and/or long-term forward rates come from?

I apologize if this is supposed to be obvious, but ... . Libor spot rates are quoted up to a year, beyond that one can use Eurodollar futures to continue to build the curve. Let's say up to 3 years. ...
8
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1answer
565 views

Do you have a validation set for Libor Market Model implementation?

I'm trying to calibrate a Libor Market Model (LMM) in Matlab with my user-defined function, not their package. I already fitted the market volatilities using SABR but failed to simulate the ...
7
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2answers
1k views

Why is USD LIBOR used for USD denominated securities?

I am just starting on Interest Rate Swaps & curve construction. While reading few materials on Interest Rate Swap, it's indicated for e.g. "Floating Coupon Index: 6 month USD LIBOR". LIBOR is ...
7
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3answers
480 views

What does LIBOR really represent?

LIBOR - rate at which banks in LONDON would lend to each other. Is there a similar index for banks in New York (or any other major financial city) would lend to each other? For example, what is the ...
7
votes
3answers
300 views

Why is there a convexity adjustment if the payment date differs from Libor end date?

A 3 month LIBOR that fixing at $T$, paying in 3 months does not have a convexity adjustment. However, 3 month LIBOR fixing at $T$, paying in 6 months needs a convexity adjustment. How is this shown ...
7
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3answers
10k views

Why would a 6M LIBOR rate be significantly above 3M LIBOR, ED futures and swap rates?

Just was just looking at the various interest rates and noticed this: ...
6
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2answers
351 views

Why is the LIBOR-market model free of arbitrage?

Recently I have been reading a lot on the market models. One thing that keeps escaping me - why is the Libor-market model (LMM) assumed to e free of aritrage in continuous time ? To me this means ...
5
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1answer
236 views

Discount curve and payment frequency

In case of uncollateralised trades, where we use LIBOR rates for discounting, does the LIBOR tenor have to match with the payment frequency? For example, one of the swap leg pays USD floating amount ...
5
votes
1answer
203 views

Seeming arbitrage in excess reserves

In the US banks are required to store 10% of their deposits in cash in the form of Fed Funds. Due to misbalance of demand and supply, some banks borrow such cash from others; the volume averaged ...
4
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1answer
2k views

Risk-free: why LIBOR pre-crisis and OIS now

Quick question as a follow-up to this post: why was LIBOR used instead of OIS pre-2007 for the risk-free rate proxy? Please correct me if I am getting this mixed up, but from what I've seen, it ...
4
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3answers
14k views

Is there an Australian Interbank Rate?

Most widely used Interbank Rates are LIBOR, EURIBOR. Then I read online on SIBOR (Singapore). It says Canda, US are following LIBOR as well. So for Australia, is there a dedicated interbank rate like ...
4
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1answer
322 views

Annualised Sharpe Ratio for Index vs Index Benchmarking

I am currently writing a paper about the performance characteristics of alternative energy equity indexes and am therefore comparing them to their benchmark indexes (msci world, etc). To calculate the ...
4
votes
1answer
2k views

Dual Curve Bootstrapping - When to OIS discount?

I am a new quant and I am trying to understand some of the specifics of dual curve bootstrapping. For concreteness, suppose I want to build a Libor forward curve. From what I understand OIS ...
3
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3answers
3k views

Basic LIBOR curve question

I'm new to the quant finance and have a very basic question about LIBOR curve. LIBOR is published every day for 4 different tenors (1M, 3M, 6M, 1Y), and each rate means how much annual interest ...
3
votes
2answers
767 views

6 month curve from 3 month forward rate agreements

Is it possible to bootstrap at least an approximate 6 month LIBOR curve (actually NIBOR, for Norway, in my case) if rates for 3 month FRAs are known? For example, say we know the rates for 1x4, 7x10, ...
3
votes
3answers
786 views

Spread over LIBOR on a Equity Swap

Does anyone how banks determine the spread over LIBOR on a Equity Swap? Example: Party A pays the return on SPTR to Party B Party B pays 1M LIBOR + 40 bps to Party A Does anyone know how the 40 ...
3
votes
2answers
922 views

Libor Market Model: numeraire change

I am currently studying the Libor forward market model, and although I get the mechanics behind the main arguments, I still do not have an intuitive idea of what's exactly the objective behind ...
3
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1answer
219 views

IMM Swaps - Accrual & Fixing Schedule

I am wondering how accrual periods & reset dates on Quarterly-IMM swaps are different to normal swaps (in terms of conventions). For example: Normal Swap: ...
3
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1answer
328 views

LIBOR with different tenor

Let $F(t;S,T)$ be the forward rate from $S$ to $T$ seen at time $t$, and $I$ be one of tenors, i.e. $I$ is one of {1M, 3M, 6M, 12M}. Then the forward curve $t\mapsto F(0;t,t+I)$ is $I$-forward curve. ...
3
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0answers
59 views

Pricing eurodollar futures

How are Eurodollar futures priced in practice? What I already know: The implied 3 Months rate by the futures is 100-price, since it matches the payoff. Using daily LIBOR rates, one should be able to ...
3
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0answers
131 views

volatility term structure calibration

As is well known in order to calibrate an interest rate model (i.e. hull-white, LMM) i need to use the current market yield curve and volatility. But in the case I want to calibrate the model in a ...
3
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0answers
911 views

what is the definition of resetting tenor and time to maturity tenor in libor rates

I have a question about the definition and understanding of libor rates. We have the time to maturity tenor, $T$, which is the time over which i borrow or lend money. For libor we also have the reset ...
3
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0answers
430 views

Bond (yield curve) dynamics in the Forward-LIBOR-market-model

The standard Libor-Forward-Market-Models provides a way of modelling the evolution of forward rates in time. However the model does not seem to be well suited for the modelling of zero-bonds. But ...
3
votes
1answer
417 views

Questions about Markit rates curve bootstrapping

I am reading the following two Markit documents concerning the bootstrapping of respectively the USD rates curve and the EUR, GBP, JPY, CHF, CAD, HKD, SGD, AUD and NZD rates curves. (Both versions are ...
2
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1answer
356 views

Is this an inconsistency between Swap and LIBOR?

I'm a little confused by what I see as an inconsistency between quoted £ swap rates and £ LIBOR. From the FT on 25/4/14: 1-year Swap (semi-annual): Bid - $0.63\%$; Ask - $0.66\%$ LIBOR: 6-month - $R_{...
2
votes
2answers
184 views

Does LIBOR in USD reflect short term interest rates in the U.S.?

The London Interbank Offered Rate (LIBOR) is an indicative average interest rate at which a selection of banks (the panel banks) are prepared to lend one another unsecured funds on the London money ...
2
votes
1answer
678 views

Total Return Swaps and Borrow Cost Relationship

If an investor is long a Total Return Swap (TRS), they get the total return (ie, including dividend) performance and usually pay LIBOR minus a spread. This spread should trade ...
2
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1answer
4k views

Libor OIS basis swap equation

I'm a little embarrassed about this because I have a PhD in math, but I'm having a little trouble working out how to bootstrap an OIS curve from libor rates and basis swap rates. If I had an equation ...
2
votes
1answer
1k views

Automatic fixing of missing floating rate in QuantLib's addFixing()

Due to the periodic fixing of floating rate bonds's coupon rates, in order to calculate the bond clean price one must tell the pricing engine to account for previous LIBOR rate fixing. If I am right (...
2
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1answer
2k views

LIBOR Rates available in CSV, XML etc

Is there a website that offers current LIBOR rates for all tenors for free in machine readable formats?
2
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1answer
86 views

Black Scholes- Options and OIS

I have 2 questions. In the Black Scholes formula for currency options, where does forward premium come in? Volatility will be a historic parameter, so which component considers fwd premia. Typically,...
2
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1answer
1k views

Calculating Implied Forward Rates from Eurodollar Futures Quotes

I'm trying to calculate the implied forward rates of the Eurodollar (USD) curve, knowing that the Eurodollar curve is supposed to be a mirror of the yield curve (else arb). I have this formula for ...
2
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1answer
273 views

LMM & multiple curves

I was reading through a paper that attempted to present a theoretical explanation for the divergence in value of different LIBOR tenors (and thus for the use of different curves for different tenors). ...
2
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1answer
869 views

LIBOR Quoting Conventions

I have been trying to build a NSS parameterization of LIBOR term structure, and have confused myself over how all the dates are dealt with. On https://www.theice.com/publicdocs/futures/...
2
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1answer
627 views

Why is Overnight LIBOR lower than BoE Base Rate?

According to this site, the current overnight GBP LIBOR is 0.45638%, and the Bank of England base rate is 0.5%. My understanding is that the overnight LIBOR should always be higher than the base rate,...
2
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1answer
921 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
1k views

Forecast 3m LIBOR USD. Budget purpose

How can I calculate/budget/find a expectation for the 3 month LIBOR for the next 3monts-4 years? I am calculating a CF scenario on USD 3month Libor + margin. With swaps and fixed rate this is easy, ...
2
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0answers
31 views

Any Suggestion for Credit Risk Measure for Banking Industry in Turkey?

I need a measure that will proxy for overall credit risk in the banking industry of Turkey. The literature offers LIBOR-OIS spread and Moody's Baa-Aaa spread as strong candidates. However, these ...
2
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1answer
172 views

Convexity adjustment when payment if after interest natural term?

I've been working with a convexity adjustment for an interest rate payoff and the next question came to me: The usual problem that gives rise to the convexity adjustment I'm referring to is as ...
2
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1answer
56 views

What is time 0 price of Libor starting t for the period $t$ to $t+\delta t$

I was asked this in an interview. The correct answer, I was told, follow from this argument Let $L_0[0,t]$ denote the time 0 price of Libor for period $0$ to $t$. Let $L_0[t,t+\delta_t]$ denote the ...
1
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2answers
6k views

A libor curve VS A 3-month or 6-month libor curve

I'm very confused about the terms regarding libor curves in general. When people talk about libor curve, I picture it as a curve with different libor maturities (i.e. 1 week, 1 month, 3-month and 6-...
1
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3answers
122 views

Can you model the LIBOR rate as a geometric Brownian motion?

i.e. The LIBOR rate is driven in the same way as a stock price in the Black Scholes model. For example let $R_t$ denote the LIBOR rate at time t. the stochastic differential equation (sde) would take ...
1
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4answers
817 views

Exploding Libor Rates in Libor Market Model

I have implemented the Libor Market Model in Matlab. When I generate a number of paths, I notice that some of them explode. Does anybody have an idea what could cause this? I already tried solving ...
1
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2answers
561 views

Properly interpreting LIBOR curves?

I have a confusion regarding LIBOR curves. I understand what LIBOR means, but what exactly is meant by a LIBOR curve? I would imagine a curve where on the x-axis is time and y-axis the 6-month LIBOR ...
1
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1answer
1k views

forward vs spot simply-compounded spot interest rate

Question about forward vs spot simply-compounded spot interest rate.Some definitions $P(a,b)$ a zero coupond price at time $a$ and maturity $b$ $L(a,b)$ simply compounded spot interest rate set at ...
1
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1answer
172 views

Dynamics of LIBOR foward rate under T-forward measure

Assume that under the physical measure $\mathbb{P}$ we have for the LIBOR forward rate $L(t):=L(t;S,T) = \frac{1}{T-S}\left(\frac{P(t,S)}{P(t,T)}-1\right)$ that $$ \mathrm{d}L(t) = L(t)\left(\mu(t)\...
1
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1answer
164 views

Why change numeraire for the LIBOR Market Model

There are two form of LIBOR Market Model that has a drift introduced. I would like to know in plain english explanation why do practitioners use these changes of measure. Are there any significance to ...
1
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1answer
186 views

One week LIBOR?

Are there any commonly traded instruments that would allow one to bootstrap a one week LIBOR curve? If not, is there some alternate way to value forward starting swaps with a short first period that ...