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The LIBOR has served since the 1970s as a fundamental measure for floating term rates across multiple currencies and maturities. However, in 2017 the Financial Conduct Authority announced the discontinuation of LIBOR from the end of 2021…

Mathematical Finance · Quantitative Finance 2025-11-04 Matthew Bickersteth , Yining Ding , Marek Rutkowski

The role of collateral in derivative pricing has evolved beyond credit risk mitigation, particularly following the global financial crisis, when funding costs and basis spreads became central to valuation practices. This development…

Mathematical Finance · Quantitative Finance 2026-03-10 Yining Ding , Ruyi Liu , Marek Rutkowski

It is well known that traded foreign exchange forwards and cross currency swaps (CCS) cannot be priced applying overnight cash and carry arguments as they imply absence of funding advantage of one currency to the other. This paper proposes…

Pricing of Securities · Quantitative Finance 2017-01-09 Eduard Giménez , Alberto Elices , Giovanna Villani

Applying historical data from the USD LIBOR transition period, we estimate a joint model for SOFR, Fed Funds, and Eurodollar futures rates as well as spot USD LIBOR and term repo rates. The framework endogenously models basis spreads…

General Finance · Quantitative Finance 2022-03-18 David Skovmand , Jacob Bjerre Skov

The Secured Overnight Funding Rate (SOFR) is becoming the main Risk-Free Rate benchmark in US dollars, thus interest rate term structure models need to be updated to reflect the key features exhibited by the dynamics of SOFR and the forward…

Mathematical Finance · Quantitative Finance 2021-01-13 Karol Gellert , Erik Schlögl

We provide a general HJM framework for forward contracts written on abstract market indices with arbitrary fixing and payment adjustments, and featuring collateralization in any currency denominations. In view of this, we first provide a…

Pricing of Securities · Quantitative Finance 2026-03-06 Alessandro Gnoatto , Silvia Lavagnini

The LIBOR rate is currently scheduled for discontinuation, and the replacement advocated by regulators in the US is the Secured Overnight Financing Rate (SOFR). The change has the potential to disrupt the $200 trillion market of derivatives…

Mathematical Finance · Quantitative Finance 2021-03-23 Jacob Bjerre Skov , David Skovmand

We develop an arbitrage-free random field LIBOR market model to price cross-currency derivatives. The uncertainty of the forward LIBOR rates of our cross-currency model is driven by a two time parameter random field instead of a finite…

Pricing of Securities · Quantitative Finance 2021-04-02 Rajinda Wickrama

We present a quantitative study of the markets and models evolution across the credit crunch crisis. In particular, we focus on the fixed income market and we analyze the most relevant empirical evidences regarding the divergences between…

Pricing of Securities · Quantitative Finance 2012-04-03 Marco Bianchetti , Mattia Carlicchi

We suggest an intermediate currency approach that allows us to price options on all FX markets simultaneously under the same risk-neutral measure which ensures consistency of FX option prices across all markets. In particular, it is…

Mathematical Finance · Quantitative Finance 2021-02-16 S. Maurer , T. E. Sharp , M. V. Tretyakov

We present a general derivation of the arbitrage-free pricing framework for multiple-currency collateralized products. We include the impact on option pricing of the policy adopted to fund in foreign currency, so that we are able to price…

Pricing of Securities · Quantitative Finance 2015-09-15 Nicola Moreni , Andrea Pallavicini

We revisit the problem of pricing and hedging plain vanilla single-currency interest rate derivatives using multiple distinct yield curves for market coherent estimation of discount factors and forward rates with different underlying rate…

Pricing of Securities · Quantitative Finance 2012-08-02 Marco Bianchetti

With the reform of interest rate benchmarks, interbank offered rates (IBORs) like LIBOR have been replaced by risk-free rates (RFRs), such as the Secured Overnight Financing Rate (SOFR) in the U.S. and the Euro Short-Term Rate (\euro STR)…

Mathematical Finance · Quantitative Finance 2026-01-27 Alessandro Calvia , Marzia De Donno , Chiara Guardasoni , Simona Sanfelici

An uncollateralized swap hedged back-to-back by a CCP swap is used to introduce FVA. The open IR01 of FVA, however, is a sure sign of risk not being fully hedged, a theoretical no-arbitrage pricing concern, and a bait to lure market risk…

Pricing of Securities · Quantitative Finance 2020-05-05 Wujiang Lou

An important step in the Financial Benchmarks Reform was taken on 13th September 2018, when the ECB Working Group on Euro Risk-Free Rates recommended the Euro Short-Term Rate ESTR as the new benchmark rate for the euro area, to replace the…

Pricing of Securities · Quantitative Finance 2025-03-11 Marco Bianchetti , Marco Scaringi

In the forthcoming ISDA Standard Credit Support Annex (SCSA), the trades denominated in non-G5 currencies as well as those include multiple currencies are expected to be allocated to the USD silo, where the contracts are collateralized by…

Pricing of Securities · Quantitative Finance 2011-12-09 Masaaki Fujii , Akihiko Takahashi

This paper investigates the hedging performance of pegged foreign exchange market in a regime switching (RS) model introduced in a recent paper by Drapeau, Wang and Wang (2019). We compare two prices, an exact solution and first order…

Mathematical Finance · Quantitative Finance 2020-05-29 Samuel Drapeau , Yunbo Zhang

In this paper, we propose a semi-analytical approach to pricing options on SOFR futures where the underlying SOFR follows a time-dependent CEV model. By definition, these options change their type at the beginning of the reference period:…

Computational Finance · Quantitative Finance 2024-10-08 Andrey Itkin , Yerkin Kitapbayev

We review the main changes in the interbank market after the financial crisis started in August 2007. In particular, we focus on the fixed income market and we analyse the most relevant empirical evidences regarding the divergence of the…

Pricing of Securities · Quantitative Finance 2013-01-31 Marco Bianchetti , Mattia Carlicchi

Alternative risk-free rates (RFRs) play a central role in the reform of interest rate benchmarks. We study a model for RFRs driven by a general affine process. Under minimal assumptions, we derive explicit valuation formulas for…

Pricing of Securities · Quantitative Finance 2023-01-24 Claudio Fontana
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