What is the volatility of an Asian option?

2021 ◽  
Author(s):  
Dan Pirjol ◽  
Lingjiong Zhu
Keyword(s):  
Asian Option

scholarly journals Geometric Average Asian Option Pricing with Paying Dividend Yield under Non-Extensive Statistical Mechanics for Time-Varying Model

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 828 ◽  
Author(s):  
Jixia Wang ◽  
Yameng Zhang
Keyword(s):  
Statistical Mechanics ◽  
Option Pricing ◽  
Asset Price ◽  
Closed Form Solution ◽  
Real Data ◽  
Form Solution ◽  
Asian Option ◽  
Time Varying ◽  
Dividend Yield ◽  
Geometric Average

This paper is dedicated to the study of the geometric average Asian call option pricing under non-extensive statistical mechanics for a time-varying coefficient diffusion model. We employed the non-extensive Tsallis entropy distribution, which can describe the leptokurtosis and fat-tail characteristics of returns, to model the motion of the underlying asset price. Considering that economic variables change over time, we allowed the drift and diffusion terms in our model to be time-varying functions. We used the I t o ^ formula, Feynman–Kac formula, and P a d e ´ ansatz to obtain a closed-form solution of geometric average Asian option pricing with a paying dividend yield for a time-varying model. Moreover, the simulation study shows that the results obtained by our method fit the simulation data better than that of Zhao et al. From the analysis of real data, we identify the best value for q which can fit the real stock data, and the result shows that investors underestimate the risk using the Black–Scholes model compared to our model.

Construction material supply risk management using Asian option contracts: the case of a pipeline project

2020 ◽  
Vol 27 (10) ◽  
pp. 3395-3414
Author(s):  
Mohammad Vahdatmanesh ◽  
Afshin Firouzi
Keyword(s):  
Risk Management ◽  
Scenario Analysis ◽  
Price Risk ◽  
Asian Option ◽  
Steel Pipeline ◽  
Content Type ◽  
Price Fluctuations ◽  
Option Contracts ◽  
Pipeline Project ◽  
Total Price

PurposeSteel price uncertainty exposes pipeline projects that are inherently capital intensive to the risk of cost overruns. The current study proposes a hedging methodology for tackling steel pipeline price risk by deploying Asian option contracts that address the shortcomings of current risk mitigation strategies.Design/methodology/approachA stepwise methodology is introduced, which uses a closed-form formula as an Asian option valuation method for calculating this total expenditure. The scenario analysis of three price trends examines whether or not the approach is beneficial to users. The sensitivity analysis then has been conducted using the financial option Greeks to assess the effects of changes in volatility in the total price of the option contracts. The total price of the Asian options was then compared with those of the European and American options.FindingsThe results demonstrate that the Asian option expenditure was about 1.87% of the total cost of the case study project. The scenario analysis revealed that, except for when the price followed a continuous downward pattern, the use of this type of financial instrument is a practical approach for steel pipeline price risk management.Practical implicationsThis approach is founded on a well-established financial options theory and elucidates how pipeline project participants can deploy Asian option contracts to safeguard against steel price fluctuations in practice.Originality/valueAlthough the literature exists about the theory and application of financial derivative instruments for risk management in other sectors, their application to the construction industry is infrequent. In the proposed methodology, all participants involved in fixed price pipeline projects readily surmount the risk of exposure to material price fluctuations.

scholarly journals Recursive Formula for Arithmetic Asian Option Prices

2012 ◽  
Vol 34 (3) ◽  
pp. 220-234 ◽  
Author(s):  
Kyungsub Lee
Keyword(s):  
Recursive Formula ◽  
Asian Option ◽  
Option Prices

General Lower Bounds for Arithmetic Asian Option Prices

2008 ◽  
Vol 15 (2) ◽  
pp. 123-149 ◽  
Author(s):  
H. Albrecher ◽  
P. A. Mayer ◽  
W. Schoutens
Keyword(s):  
Lower Bounds ◽  
Asian Option ◽  
Option Prices

scholarly journals The Greek parameters of a continuous arithmetic Asian option pricing model via Laplace Adomian decomposition method

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 780-785 ◽  
Author(s):  
Sunday O. Edeki ◽  
Tanki Motsepa ◽  
Chaudry Masood Khalique ◽  
Grace O. Akinlabi
Keyword(s):  
Analytical Solution ◽  
Option Pricing ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Asian Option ◽  
Pricing Model ◽  
Adomian Decomposition ◽  
Option Pricing Model ◽  
Option Model ◽  
High Level

Abstract The Greek parameters in option pricing are derivatives used in hedging against option risks. In this paper, the Greeks of the continuous arithmetic Asian option pricing model are derived. The derivation is based on the analytical solution of the continuous arithmetic Asian option model obtained via a proposed semi-analytical method referred to as Laplace-Adomian decomposition method (LADM). The LADM gives the solution in explicit form with few iterations. The computational work involved is less. Nonetheless, high level of accuracy is not neglected. The obtained analytical solutions are in good agreement with those of Rogers & Shi (J. of Applied Probability 32: 1995, 1077-1088), and Elshegmani & Ahmad (ScienceAsia, 39S: 2013, 67–69). The proposed method is highly recommended for analytical solution of other forms of Asian option pricing models such as the geometric put and call options, even in their time-fractional forms. The basic Greeks obtained are the Theta, Delta, Speed, and Gamma which will be of great help to financial practitioners and traders in terms of hedging and strategy.

scholarly journals THE HEDGING STRATEGY FOR ASIAN OPTION

2018 ◽  
pp. 29-41
Author(s):  
А.А. Shishkova ◽  
Keyword(s):  
Asian Option ◽  
Hedging Strategy

scholarly journals Estimators of sensitivities of an Asian option: numerical analysis

2014 ◽  
Vol 8 ◽  
pp. 813-827 ◽  
Author(s):  
Abderrahmane Moussi ◽  
Abdeluaab Lidouh ◽  
Fatima Zahra Nqi
Keyword(s):  
Numerical Analysis ◽  
Asian Option

Porting the Algorithm for Calculating an Asian Option to a New Processing Architecture

2018 ◽  
pp. 113-122 ◽  
Author(s):  
Eduard Stepanov ◽  
Dmitry Khmel ◽  
Vladimir Mareev ◽  
Nikita Storublevtcev ◽  
Alexander Bogdanov
Keyword(s):  
Asian Option ◽  
New Processing ◽  
Processing Architecture
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