Bootstrapping the Illiquidity: Multiple Yield Curves Construction for Market Coherent Forward Rates Estimation

A version of this paper was published as chapter 1 in "Modeling Interest Rates", edited by Fabio Mercurio, Risk Books, 1 May 2009, ISBN 9781906348137

Posted: 2 Apr 2009 Last revised: 10 Sep 2018

See all articles by Ferdinando M. Ametrano

Ferdinando M. Ametrano

Digital Gold Institute; CheckSig; Università Milano Bicocca - Crypto Asset Lab; Università Milano-Bicocca - Department of Statistics and Quantitative Methods; Catholic University of Milan (Brescia); QuantLib

Marco Bianchetti

Intesa Sanpaolo - Financial and Market Risk Management; University of Bologna; AIFIRM - Associazione Italiana Financial Industry Risk Manager

Date Written: May 1, 2009

Abstract

The large basis spreads observed on the interest rate market since the liquidity crisis of summer 2007 imply that different yield curves are required for market coherent estimation of forward rates with different tenors (e.g. Euribor 3 months, Euribor 6 months, etc.).

In this paper we review the methodology for bootstrapping multiple interest rate yield curves, each homogeneous in the underlying rate tenor, from non-homogeneous plain vanilla instruments quoted on the market, such as Deposits, Forward Rate Agreements, Futures, Swaps, and Basis Swaps.

The approach includes turn of year effects and is robust to deliver smooth yield curves and to ensure non-negative rates also in highly stressed market situations, characterized by crazy roller coaster shapes of the market quotations.

The concrete EUR market case is analyzed in detail, using the open source QuantLib implementation of the proposed algorithms.

Keywords: Liquidity crisis, credit crunch, interest rates, yield curve, forward curve, discount curve, bootstrapping, pricing, hedging, interest rate derivatives, Deposit, FRA, Futures, Swap, Basis Swap, turn of year, spline, QuantLib

JEL Classification: E45, G13

Suggested Citation

Ametrano, Ferdinando M. and Bianchetti, Marco, Bootstrapping the Illiquidity: Multiple Yield Curves Construction for Market Coherent Forward Rates Estimation (May 1, 2009). A version of this paper was published as chapter 1 in "Modeling Interest Rates", edited by Fabio Mercurio, Risk Books, 1 May 2009, ISBN 9781906348137, Available at SSRN: https://ssrn.com/abstract=1371311

Ferdinando M. Ametrano

Digital Gold Institute ( email )

Italy

HOME PAGE: http://dgi.io

CheckSig ( email )

Milan, 20121
Italy

HOME PAGE: http://checksig.io

Università Milano Bicocca - Crypto Asset Lab ( email )

Italy

HOME PAGE: http://cryptoassetlab.diseade.unimib.it/

Università Milano-Bicocca - Department of Statistics and Quantitative Methods ( email )

Milano, 20126
Italy

Catholic University of Milan (Brescia) ( email )

Milan
Italy

QuantLib ( email )

HOME PAGE: http://quantlib.org

Marco Bianchetti (Contact Author)

Intesa Sanpaolo - Financial and Market Risk Management ( email )

Piazza P. Ferrari 10
Milan, 20121
Italy

University of Bologna ( email )

Piazza Scaravilli 2
Bologna, 40100
Italy

AIFIRM - Associazione Italiana Financial Industry Risk Manager ( email )

www.aifirm.it
Italy

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