We deal with the pricing of geometric Asian rainbow options under the mixed fractional Brownian motion. Based on standard no arbitrage arguments, we obtain a partial differential problem in several independent variables, which we solve by employing suitable changes of variables and analytical results derived in Bos and Ware (2001) and Stulz (1982b). Numerical test-cases are presented in which the pricing formula obtained is applied to geometric Asian rainbow options on two and three underlying assets. Monte Carlo simulations are also performed which confirm the correctness of the proposed closed-form solution.
Ahmadian D., Ballestra L.V. (2020). Pricing geometric Asian rainbow options under the mixed fractional Brownian motion. PHYSICA. A, 555, 1-14 [10.1016/j.physa.2020.124458].
Pricing geometric Asian rainbow options under the mixed fractional Brownian motion
Ahmadian D.
;Ballestra L. V.
2020
Abstract
We deal with the pricing of geometric Asian rainbow options under the mixed fractional Brownian motion. Based on standard no arbitrage arguments, we obtain a partial differential problem in several independent variables, which we solve by employing suitable changes of variables and analytical results derived in Bos and Ware (2001) and Stulz (1982b). Numerical test-cases are presented in which the pricing formula obtained is applied to geometric Asian rainbow options on two and three underlying assets. Monte Carlo simulations are also performed which confirm the correctness of the proposed closed-form solution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
