On the Equivalence of Floating and Fixed-strike Asian Options
نویسندگان
چکیده
There are two types of Asian options in the financial markets which differ according to the role of the average price. We give a symmetry result between the floating and fixed-strike Asian options. The proof involves a change of numéraire and time reversal of Brownian motion. Symmetries are very useful in option valuation and in this case, the result allows the use of more established fixed-strike pricing methods to price floating-strike Asian options.
منابع مشابه
Equivalence of Floating and Fixed Strike Asian and Lookback Options
We prove a symmetry relationship between floating-strike and fixed-strike Asian options for assets driven by general Lévy processes using a change of numéraire and the characteristic triplet of the dual process. We apply the same technique to prove a similar relationship between floating-strike and fixed-strike lookback options.
متن کاملFast narrow bounds on the value of Asian options
We consider the problem of finding bounds on the value of fixed-strike and floatingstrike Asian options. A good lower bound for both types was derived in Rogers & Shi (1995). We provide an alternative derivation, which leads to a simpler expression for the bound, and also to the bound given by Curran (1992) for fixed-strike options; we derive an analogous bound for floating-strike options. Comb...
متن کاملBounds for in-progress floating-strike Asian options using symmetry
This paper studies symmetries between fixed and floating-strike Asian options and exploits this symmetry to derive an upper bound for the price of a floating-strike Asian. This bound only involves fixed-strike Asians and vanillas, and can be computed simply given one of the many efficient methods for pricing fixed-strike Asian options. The bound coincides with the true price until after the ave...
متن کاملBounds for Floating-Strike Asian Options using Symmetry
This paper studies symmetries between fixed and floating-strike Asian options and exploits this symmetry to derive an upper bound for the price of a floating-strike Asian. This bound only involves fixed-strike Asians and vanillas, and can be computed simply given one of the many efficient methods for pricing fixed-strike Asian options. The bound is exact until after the averaging has begun and ...
متن کاملThe Parallel Solution of Early-exercise Asian Options with Stochastic Volatility
This paper describes an parallel semi-Lagrangian nite diierence approach to the pricing of early exercise Asian Options on assets with a stochastic volatility. A multigrid procedure is described for the fast iterative solution of the discrete linear complementarity problems that result. The accuracy and performance of this approach is improved considerably by a strike-price related analytic tra...
متن کامل