In
mathematical finance
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field.
In general, there exist two separate branches of finance that req ...
, the Cheyette Model is a quasi-
Gaussian
Carl Friedrich Gauss (1777–1855) is the eponym of all of the topics listed below.
There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy. The English eponymo ...
,
quadratic volatility model of
interest rate
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, ...
s intended to overcome certain limitations of the
Heath-Jarrow-Morton framework.
By imposing a special time dependent structure on the forward rate volatility function, the Cheyette approach allows for dynamics which are
Markovian, in contrast to the general HJM model.
This in turn allows the application of standard econometric valuation concepts.
External links and references
*
* Cheyette, O. (1994)
''Markov representation of the Heath-Jarrow-Morton model''(working paper). Berkeley: BARRA Inc.
* Chibane, M. and Law, D. (2013)
''A quadratic volatility Cheyette model'' Risk.net
Financial models
Mathematical finance
Fixed income analysis
Heath–Jarrow–Morton framework
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