Sensitivity analysis in the infinite dimensional Heston model
2021 ◽
pp. 2150014
Keyword(s):
We consider the infinite dimensional Heston stochastic volatility model proposed in Ref. 7. The price of a forward contract on a non-storable commodity is modeled by a generalized Ornstein–Uhlenbeck process in the Filipović space with this volatility. We prove a representation formula for the forward price. Then we consider prices of options written on these forward contracts and we study sensitivity analysis with computation of the Greeks with respect to different parameters in the model. Since these parameters are infinite dimensional, we need to reinterpret the meaning of the Greeks. For this we use infinite dimensional Malliavin calculus and a randomization technique.
2019 ◽
Vol 22
(04)
◽
pp. 1950009
2017 ◽
Vol 20
(08)
◽
pp. 1750055
◽
2012 ◽
Vol 15
(05)
◽
pp. 1250033
◽
2008 ◽
Vol 40
(01)
◽
pp. 144-162
◽
Keyword(s):
2016 ◽
Vol 19
(05)
◽
pp. 1650031
◽
Keyword(s):
2013 ◽
Vol 45
(2)
◽
pp. 572-594
◽