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1998 Quantitative Finance Research Papers
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Heath, D., Platen,
E. and Schweizer, M., "Comparison of Some Key Approches to Hedging
in Incomplete Markets", December 1998.
Abstract:
The paper provides a numerical comparison of local risk minimisation and
mean-variance hedging for some key variations of stochastic volatility models.
A hedging and pricing framework is established for both approaches. Important
quantitative differences become apparent that have implications for the
implementation of hedging strategies under stochastic volatility.
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Clewlow, L. and Strickland, C., "Pricing
Interest Rate Exotics in Multi-Factor Gaussian Interest Rate Models",
December 1998.
Abstract:
For many interest rate exotic options, for example options on the slope
of the yield curve or American featured options, a one factor assumption
for term structure evolution is inappropriate. These options derive their
value from changes in the slope or cuvature of the yield curve and hence
are more realistically priced with multiple factor models. However, efficient
construction of short rate trees becomes computationally intractable as
we increase the number of factors and in particular as we move to non-Markovian
models.
In this paper we describe a general framework for pricing a wide range of
interest rate exotic options under a very general family of multi-factor
Gaussian interest rate models. Our framework is based on a computationally
efficient implementation of Monte Carlo integration utilising analytical
approximations as control variates. These techniques extend the analysis
of Clewlow, Pang and Strickland [1997] for pricing interest rate caps and
swaptions.
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Hall,
A. D., Kofman, P. and Guido, R., "Limits
to Linear Price Behaviour: Target Zones for Futures Prices Regulated By
Limits", December 1998.
Abstract:
This paper analyzes the random walk behaviour of futures prices when the
exchange regulated by price limits. Using a model analogous to exchange
rate target zone models, the study tests for the existence of a nonlinear
S-shape relation between observed and theoretical futures prices. This phenomenon
reflects the adjustment in traders' expectations even when limits are not
actually hit. The approach is illustrated for five agricultural futures
contracts traded at the Chicago Board of Trade. There is some evidence of
nonlinearity in quiet periods. In cases of fundamental realignments, that
is volatile periods, this non-liearity disappears.
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