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| The following
features distinguish the short-rate models in APeX. |
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Popular
1-factor short-rate models: All Log-Normal and Normal mean-reverting
short-rate models: Black-Derman-Toy (BDT), Black-Karasinski
(BK), Hull-White (HW), Ho-Lee (HL) models are supported. |
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Volatility and mean-reversion
curves: For each of the above models, the volatility (sigma)
and mean-reversion (alpha) curves can be a flat number, driven
from the calibrated caplet curve, a result of calibration, or
provided by the user. |
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Full
forward curve per node: The full forward curve for each
node is computed and cached once, obviating the need for repeated
backward induction. This greatly speeds up book pricing and
hedging. |
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Variable-length
discretization: The lattice-dates can be selected by the
user, making the lattice per-deal or per-book. One can switch
from a fine (daily) to coarser discretization. |
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Calibration:
Analytic or tree-based calibration of the vol and mean-reversion
curves. These curves can be defined to be flat, parametric:
e.g., weighted sum of orthogonal polynomials, or piecewise defined.
One can also suppress the mean-reversion calibration by fixing
it at a specific level. |
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Flexible tree class: The
underlying classes are flexible C++ tree classes, allowing the
user to build multi-nomial recombining or bushy trees for generic
financial quantities (short rate, forward curve, equities).
Arrow-Debreu prices and transition probabilities between arbitrary
tree-dates are automatically computed and can be accessed. |
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| Copyright
© 2000 Panalytix, Inc., All rights reserved. |