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Term-Structure Models Using Binomial Trees

Term-Structure Models Using Binomial Trees

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Term-Structure Models Using Binomial Trees

Term-Structure Models Using Binomial Trees Summary:

 
By Gerald W. Buetow Jr, James Sochacki
  • Publisher:   The Research Foundation of AIMR (CFA Institute)
  • Number Of Pages:   104
  • Publication Date:   2001-11-15
  • ISBN-10 / ASIN:   0943205530
  • ISBN-13 / EAN:   9780943205533
Term-structure models are essential for the valuation of interest rate
dependent claims. Although term-structure experts have produced a variety
of useful models, they involve complex mathematics, which limits their
accessibility to investment practitioners who are not engaged in this area of
specialization. Moreover, the original “journal” versions of these models and
their subsequent descriptions in text books often abstract from many
important details necessary for implementation. These circumstances make
it difficult for investors to compare the prices of interest rate dependent claims,
to assess the appropriateness of alternative term-structure software products,
and to build their own term-structure models.
With this monograph, Gerald W. Buetow, Jr., CFA, and James Sochacki
go a long way toward ameliorating this problem. They begin with a concise
but hardly superficial overview of interest rate modeling, and they introduce
the binomial tree framework. Having thoroughly prepared the reader, they
next present the five most important no-arbitrage term-structure models:
• Ho–Lee Model. This model was the first no-arbitrage term-structure
model. It assumes constant and identical volatility for all spot and forward
rates and does not incorporate mean reversion.
• Hull–White Model. This model extends the Ho–Lee model to allow for
mean reversion.
• Kalotay–Williams–Fabozzi Model. This model assumes a lognormal
distribution and eliminates the problem of negative short rates, which can
occur with the Ho–Lee and Hull–White models.
• Black–Karasinski Model. An extension of the Kalotay–Williams–
Fabozzi Model, this model controls the growth in the short rate.
• Black–Derman–Toy Model. This model permits independent and timevarying
spot-rate volatilities.
 
 
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