WAVELET OPTIMIZED VALUATION OF FINANCIAL DERIVATIVES
2011 ◽
Vol 14
(07)
◽
pp. 1113-1137
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Keyword(s):
Speed Up
◽
We introduce a simple but efficient PDE method that makes use of interpolation wavelets for their advantages in compression and interpolation in order to define a sparse computational domain. It uses finite difference filters for approximate differentiation, which provide us with a simple and sparse stiffness matrix for the discrete system. Since the method only uses a nodal basis, the application of non-constant terms, boundary conditions and free-boundary conditions is straightforward. We give empirical results for financial products from the equity and fixed income markets in 1, 2 and 3 dimensions and show a speed-up factor between 2 and 4 with no significant reduction of precision.
1978 ◽
Vol 118
(1)
◽
pp. 131-142
Keyword(s):
2011 ◽
Vol 43
(1-2)
◽
pp. 265-309
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1998 ◽
Vol 29
(1)
◽
pp. 155-182
◽
2015 ◽
Vol 67
(9)
◽
pp. 1517-1523
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Keyword(s):
2014 ◽
Vol 564
◽
pp. 176-181
Keyword(s):
2013 ◽
Vol 23
(11)
◽
pp. 2129-2154
◽
1967 ◽
Vol 9
(9)
◽
pp. 661-671
◽
Keyword(s):