Questions tagged [libor]
LIBOR was the London Inter-Bank Offered Rate. It has been replaced by The SOFR (Secured Overnight Financing Rate).
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Calculating actual interest rate from LIBOR like quotes
While LIBOR is discontinued, however in many emerging countries LIBOR like quotes are still available and used for discounting. One such country is India.
The page https://www.fbil.org.in/#/home gives ...
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Which Discount Rate when Valuing Interest Rate Swaps as Forward Rate Agreements
Quick question about interest rate swaps and Forward Rate Agreements (FRAs). In Hull Chapter 4 (Interest Rates), to value an FRA he constructs the following portfolio:
Position 1 (FRA to receive $R_K$ ...
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Problem fitting LMM to swaptions
I don't know what I am doing wrong.
My goal is to calibrate correlations between my brownian motions. For that I simulate forwards paths and then calculate Swaptions rates.
I use Euler Method to ...
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EURIBOR dependent product pricing
3M Euribor rates still exists (see https://www.ice.com/) and there still exist structured products depending on them : for instance a CMS spread whose udnerlying CMS rates depend on it. But also range ...
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Do RFR swaps fix in advance or arrears?
Consider the floating leg of a IRS on the RFR which is effective today at $t_1$ and has a payment at $t_1 + 3M$.
My question is, when the payment occurs at $t_1 + 3M$, is this the $3M$ forward rate ...
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Explicit pythonic building of Flat Forward Curve using Changes assumed from central bank meetings to price FRAs
This question is related to the following questions asked previously, primarily the first:
Using QuantLib to build Flat Forward Curve using Changes assumed from central bank meetings to price FRAs
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Using QuantLib to build Flat Forward Curve using Changes assumed from central bank meetings to price FRAs
What I am trying to do is price EURIBOR6M FRAs using a curve built in quantlib with changes in rate due to central bank meetings.
For concreteness, my goal is to price EURIBOR6M FRAs, say 1x7 FRA, ...
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How do we determine 0M spot rate for 3M libor?
Say I have a 3M libor curve constructed from a bunch of 3M FRAs, so I have a 3M spot rate, a 6M spot rate, a 9M spot rate, etc.
For points in-between, say 4M, I would have to interpolate between the ...
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How do forward-looking forward rates in the Mercurio's and Lyashenko's normal or extended FMM model represent EURIBOR rates
(By XIBOR I intend any EURIBOR or LIBOR rate. By RFR I intend SOFR for the USD and ESTR (€STR) for EUR.)
I am mainly focused on the EUR rates market (but also a bit on the USD market) and looking for ...
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What are the quantitative models for modelling the SOFR rate, the IR products when Libor rates end [duplicate]
Many year ago, I worked on the pricing of IR products (Floating rate swap, CMS swap, Cap, Floor,...)
Libor rates are now replaced by SOFR rate. I would like to know
What are the new IR products (...
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LIBOR rate used for computing discount margin
A formula for computing the discount margin of a floater is provided in an image displayed in this answer as well as below. The image below comes from page 14 of the paper "Credit Spreads ...
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Risk free rate for currency option
I’m trying to price a call option on EUR/GBP exchange rate and it expires in 1 year. Should I use GBP Libor as foreign risk free rate in order to apply BS formula? The pricing date is 02/21/2023 but ...
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SOFR Transition for Future Flow Transactions [duplicate]
I’m looking for some papers/articles for the transition from LIBOR to SOFR for future flow transactions/securitizations (such as Diversified Payment Rights).
Would be happy if you could share some as ...
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Computing Daily OIS overnight trade coupon payments in excel
So I currently work in MO G10 rates sales support and we always get referrals from our setts department to recalculate discrepancy's in vanilla swaps trades coupon payments, this issue is, training ...
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Why are LMM+ parameters becoming more unstable when using an inverted volatility term structure
I have an implementation of an LMM+ model (a shifted Libor Market Model with rebonato volatility function) and am seeing recently that the calibrated parameters are becoming more unstable over time; I ...
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USD Libor fixing rule
I am missing something in the fixing rules for USD Libor: the fixing for the date Aug 31th, 2022 is on Aug 26th, 2022 - 3 ...
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2 Ways to Define/Calculate "FVA"? - Same or Different? (Simple XVA Question)
I've got a very simple question on 2 different ways of defining or calculating the FVA of an uncollateralized swap.
One definition I've often seen is that the FVA is the difference in the net present ...
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What is the market standard for IR option pricing when moving to SOFR
From books it looks like market standards to price IR options, like swaptions, are SABR, LMM or mix of the two (SABR-LMM).
But LMM models the forward LIBOR rate. What will happen to it once LIBOR ...
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Backset LIBOR contract
Below is an extract from Steven Shreve’s BK 2, Chapt 10: Term Structure models. LINK
I am trying to understand Stochastic Calculus from the above book with the help of a Pure Math PhD student.
Despite ...
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Relationship between simple Libor spot and forward rates
How is the simple forward rate L(0,T,T+1) calculated given the spot rate L(0,T)?
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Why are Eurodollar futures settled to 100 minus LIBOR? Is this actually connected to a Eurodollar depsoit?
I'm confused as to why Eurodollar futures prices settle to $100-LIBOR$ at expiration. If at the time of settlement the futures contract was meant to represent a 1,000,000 Eurodollar deposit to mature ...
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Is a swap fixed rate always a par yield?
I am learning about using the OIS fixed rate to value a plain vanilla LIBOR swap. I'm using Bond Math by Smith, and the accompanying online addendum.
To bootstrap the discount factors, the author ...
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Why is the LMM with mixture dynamics (Brigo & Mercurio) inconsistent for the pricing of exotics?
I am reading about the LMM with lognormal-mixture dynamics. Consider the following dynamics for the forward rate $F_{i}(t)$ fixing at $T_{i-1}$ and paying at $T_i$:
\begin{align}
dF_{i}(t) = (F_i (t) +...
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Pricing caps/floors on backward-looking USD SOFR with forward-looking LIBOR model
The payoff of a cap/floor is calculated as a payoff of constitutient caplets/floorlets.
The SABR volatility model has the implied volatility approximations of Hagan et al.
$$\sigma^f_{IV}\approx \...
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What can be used to replace the Libor - OIS indicator in assessing fear in money markets?
Libor is dead and used to be uncollateralised. Libor-OIS was a useful indicator to measure the spread between risk free (central bank e.g. Fed funds) rate and the interbank lending rate. For example ...
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Why is the fixed leg of a libor swap 30/360 and the floating is actual/360?
I have been looking at the following post (and comparing it to SWPM in Bloomberg)
https://kiandlee.blogspot.com/2021/07/interest-rate-swap-pricing-using-r.html
Why does the fixed leg accrue in 30/360 ...
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Replacement for LIBOR Market Model (LMM)?
With the transition from LIBOR to SOFR, will the LIBOR Market Model be replaced by a new model? Perhaps this has already happened. If yes, what is this new model? If not, will the LIBOR Market ...
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Floating swap payoff with rate determined on current instead of previous date
I am attempting to determine the payoffs a modified swap, in which the floating payments at a time $T_k$ are made on the current date (i.e. $L(T_k,T_{k+1})\equiv L_{k+1}(T_k)$) rather than at the ...
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LIBOR-in-arrears swap
Let's say we have a situation where all 12-month LIBOR forward rates at 8% per annum with annual compounding. All cap volatilities are 16%. Estimates the difference between the way a sophisticated ...
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Why should the Discount Curve be risk-free?
I have read up about the discount curve that is being used to value securities. The multi-curve methodology for valuing derivatives was mainly adopted because LIBOR was no longer seen as a proxy for ...
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Data for OIS and Libor rates
I want to bootstrap OIS zero-coupon bonds to the OIS rate but unfortunately I don't have any data.
Does anyone know where I can find the Libor rates and OIS rates?
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Day Count Convention
I am currently reading the book Term-Structure Model, chapter 3, by Damir Filipovic and I have the following problem:
The Libor rate for the maturities: Over night, 1 week, 1 month, 2 months and 3 ...
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Currency hedging 3 month sterling libor futures
Each libor contract is 500,000 gbp. Can I hedge it by going short 8 gbp/usd futures per libor to hedge out currency risk considering each gbp/usd futures is 62,500 British pounds?
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Should the Libor Market Model using spot measure as numeraire simulate an arbitrage free forward curve?
I have been looking at the following resource:
Reference Paper
Using equation [4] for the discretized version of the forward libor rate:
$\tilde{L}^i_{T_{j+1}} = \tilde{L}^i_{T_{j}} exp[\sigma^i(\sum^...
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How to account for the credit spread ( e.g. LIBOR + 2%) when using the Multicurve Methodology in valuing a Swap
When valuing an Interest rate swap, counterparties will typically issue the contract at a Libor + credit premium, e.g. Libor +2%. When valuing a swap, we require a LIBOR forward curve and Discounting ...
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LIBOR rate and eurodollar futures
If the libor rate stays the same -which implies that also the eurodollar future quoted price remains the same- (ie: jun '22 prices is trading at 99.8, and it expires at 99.8), does the investor that ...
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Using converted lognormal volatilities for negative rates in a lognormal Libor Market Model (LMM)
There exist formulas to convert between normal and lognormal interest rate volatilities. In the most simple form the approximation for ATM volatilities would be $\sigma_{LogNorm}=\frac{\sigma_{Norm}}{\...
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Using a Swap curve to price Interest rate Swaps
Say we have a 3-m LIBOR IRS (interest rate swap) with quarterly fixed payments (2 year contract), and we want to value this contract (after say 6 months has passed, i.e. there remain 1.5 years to ...
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Is there a difference between JPY TONA and JPY TONAR?
Wikipedia defines TONAR as "Tokyo Overnight Average Rate".
The official Bank of Jappan website mentions TONA, rather than TONAR.
I suspect the two, TONAR and TONA, are in fact two terms ...
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Constructing a USD LIBOR curve
USD_LIBOR rates are only published up to 12 months.
how would you approach constructing the curve to at least a 30-year tenor, to price for example an interest rate swap.
I have heard that swaps can ...
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How to value a long term interest rate swap if the floating leg is USD-LIBOR
To value an IRS, you require a spot/zero curve. If I am correct this zero curve will be the USD-LIBOR curve. However, if you have e.g. a 10-year swap that you are trying to value 2 months into the ...
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Estimating SOFR daily rate from a given curve
Goodday. May i know how can i estimate those fixing rate in the yellow cell, with the curve given on the left?
Would my step below work
1.perform linear interpolation to find the rate e.g. the fixing ...
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Can you shift a standard libor market model with regard to only at-the-money options?
Suppose I have an LMM defined using the spot measure as in Brigo and Mercurio:
$dF_k(t) = \sigma_k(t)F_k(t)\sum^k_{j=\beta(t)}\frac{\tau_j\rho_{j,k}\sigma_j(t)F_j{t}}{1+\tau_jF_k(t)}dt + \sigma_k(t)...
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LMM multifactor swaption calibration
Brigo and Mercurio give Rebonato's approximation for Black-like swaption volatility as
$(v^{LFM}_{\alpha,\beta})^2=\sum^\beta_{i,j=\alpha+1}\frac{w_i(0)w_j(0)F_i(0)F_j(0)p_{i,j}}{S_{\alpha,\beta}(0)^2}...
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forward LIBOR curve bootstrapping
how can i construct a forward libor curve, which produces forward LIBOR rates, with the given data/info:
par rates of a set of OIS
fixed 6M LIBOR rate
par rates of a set of Swaps which the underlying ...
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Show that the price of a LIBOR rate paid in advance is a linear combination of caplets
Let $L(t, T_1, T_2)$ be the forward LIBOR rate at time $t$ for the period $T_1$ to $T_2$.
If a security pays some multiple of $L(T_1, T_1, T_2)$ at time $T_1$, how can we show that the price of this ...
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Is the Australian 3 Month BBSW rate annualised? [closed]
I am looking at the 3 month BBSW reference rate and not sure if this is annualised. I understand for example, some of the LIBOR rates are annualised.
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Is SOFR to replace LIBOR or Fed Fund Rate or both
I am a bit confused on what is going on regarding the new benchmark rate SOFR. My understanding is that SOFR is to replace Libor. However, I also get information on Fed fund OIS discounting is ...
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Uncollateralised trades in Libor transition
Consider an OTC derivative traded with no CSA agreement, i.e. the trade is uncollateralised. My understanding is that a Libor swap curve is used in this case to discount the cashflows for this ...
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