RT Journal Article
SR Electronic
T1 An Efficient Lattice Algorithm for the LIBOR Market Model
JF The Journal of Derivatives
FD Institutional Investor Journals
SP 25
OP 40
DO 10.3905/jod.2011.19.1.025
VO 19
IS 1
A1 Tim Xiao
YR 2011
UL https://pm-research.com/content/19/1/25.abstract
AB Interest rate derivatives are a vitally important, and highly diverse, class of financial instruments. The LIBOR market model (LMM) framework greatly simplifies pricing the simpler types by modeling the forward rate at every maturity as being lognormal. But path-dependent payoffs, such as for a callable instrument or a range accrual note, introduce major problems. The workhorse for valuing such contracts in the equity space is the binomial or trinomial lattice. In this article, Xiao develops a pricing lattice within the LMM, with a grid-type architecture (rather than a tree), and shows that performance of the lattice-based model is orders of magnitude faster than Monte Carlo simulation.TOPICS: Interest-rate and currency swaps, accounting and ratio analysis, factors, risk premia