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Short‐term interest rate models: valuing interest rate derivatives using a Monte‐Carlo approach
Author(s) -
Treepongkaruna Sirimon,
Gray Stephen
Publication year - 2003
Publication title -
accounting and finance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.645
H-Index - 49
eISSN - 1467-629X
pISSN - 0810-5391
DOI - 10.1111/1467-629x.00090
Subject(s) - monte carlo method , short rate model , trinomial , valuation (finance) , interest rate derivative , computer science , interest rate , statistical physics , mathematics , mathematical optimization , econometrics , statistics , accounting , economics , physics , volatility (finance) , discrete mathematics , monetary economics
This paper provides an accessible description and several examples of how to use Monte‐Carlo simulation to value interest rate derivatives when the short rate follows an arbitrary time series process. We compare the values of various interest rate derivatives using closed‐form solutions (when available), the Hull and White (1994) trinomial tree procedure, and a Monte‐Carlo simulation technique. We show that the simulation technique can be applied to more complex short rate processes by examining short rate models where the dynamics are too complicated for any tree or lattice approach and closed‐form valuation formulae are unavailable. In a practical empirical setting, we weigh the advantages and disadvantages of the simulation approach against competing approaches.