Affine LIBOR models with multiple curves: theory, examples and calibration

Zorana Grbac, Antonis Papapantoleon, John Schoenmakers, David Skovmand

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24 Citationer (Scopus)
262 Downloads (Pure)

Abstract

We introduce a multiple curve framework that combines tractable dynamics and semi-analytic pricing formulas with positive interest rates and basis spreads. Negatives rates and positive spreads can also be accommodated in this framework. The dynamics of OIS and LIBOR rates are specified following the methodology of the affine LIBOR models and are driven by the wide and flexible class of affine processes. The affine property is preserved under forward measures, which allows us to derive Fourier pricing formulas for caps, swaptions and basis swaptions. A model specification with dependent LIBOR rates is developed, that allows for an efficient and accurate calibration to a system of caplet prices.
OriginalsprogEngelsk
TidsskriftSIAM Journal on Financial Mathematics
Vol/bind6
Udgave nummer1
Sider (fra-til)984–1025
Antal sider42
ISSN1945-497X
DOI
StatusUdgivet - 2015
Udgivet eksterntJa

Bibliografisk note

42 pages, 11 figures. Updated version, added section on negative rates and positive spreads

Emneord

  • q-fin.MF
  • math.PR
  • q-fin.PR
  • 91G30, 91G20, 60G44

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