Semidefinite Programming Approaches for Bounding Asian Option Prices

Author(s):  
Georgios V. Dalakouras ◽  
Roy H. Kwon ◽  
Panos M. Pardalos
2012 ◽  
Vol 34 (3) ◽  
pp. 220-234 ◽  
Author(s):  
Kyungsub Lee

2008 ◽  
Vol 15 (2) ◽  
pp. 123-149 ◽  
Author(s):  
H. Albrecher ◽  
P. A. Mayer ◽  
W. Schoutens

2016 ◽  
Vol 53 (3) ◽  
pp. 733-749 ◽  
Author(s):  
Bara Kim ◽  
Jeongsim Kim ◽  
Jerim Kim ◽  
In-Suk Wee

2012 ◽  
Vol 12 (1) ◽  
pp. 119-134 ◽  
Author(s):  
Caio Almeida ◽  
José Vicente

2014 ◽  
Vol 44 (2) ◽  
pp. 237-276 ◽  
Author(s):  
Griselda Deelstra ◽  
Grégory Rayée ◽  
Steven Vanduffel ◽  
Jing Yao

AbstractAlbrecheret al. (Albrecher, H., Mayer Ph., Schoutens, W. (2008) General lower bounds for arithmetic Asian option prices.Applied Mathematical Finance,15, 123–149) have proposed model-independent lower bounds for arithmetic Asian options. In this paper we provide an alternative and more elementary derivation of their results. We use the bounds as control variates to develop a simple Monte Carlo method for pricing contracts with Asian-style features. The conditioning idea that is inherent in our approach also inspires us to propose a new semi-analytic pricing approach. We compare both approaches and conclude that these both have their merits and are useful in practice. In particular, we point out that our newly proposed Monte Carlo method allows to deal with Asian-style products that appear in insurance (e.g., unit-linked contracts) in a very efficient way, and outperforms other known Monte Carlo methods that are based on control variates.


2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yuecai Han ◽  
Chunyang Liu

In this paper, we study the asymptotic behavior of Asian option prices in the worst-case scenario under an uncertain volatility model. We derive a procedure to approximate Asian option prices with a small volatility interval. By imposing additional conditions on the boundary condition and splitting the obtained Black–Scholes–Barenblatt equation into two Black–Scholes-like equations, we obtain an approximation method to solve a fully nonlinear PDE.


2015 ◽  
Vol 16 (3) ◽  
pp. 447-460 ◽  
Author(s):  
C. Brown ◽  
J. C. Handley ◽  
C.-T. Lin ◽  
K. J. Palmer

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