scholarly journals Lookback Option Pricing Problem of Uncertain Mean-reverting Currrency Model

Author(s):  
Yang Liu ◽  
Liying Liu

Abstract A lookback option is a maturity option that pays off based on the maximum or minimum stock price over the life of the option. This paper investigates the problem of pricing a lookback currency option based on the uncertain mean-reverting currency model and designs the algorithms to calculate the formulations. Furthermore, disscussions about parameters and result are drawn in the paper.

2009 ◽  
Vol 13 (3/4) ◽  
pp. 189-208 ◽  
Author(s):  
Ariful Hoque ◽  
◽  
Felix Chan ◽  
Meher Manzur ◽  
◽  
...  

2018 ◽  
Vol 54 (2) ◽  
pp. 695-727 ◽  
Author(s):  
Bruno Feunou ◽  
Cédric Okou

Advances in variance analysis permit the splitting of the total quadratic variation of a jump-diffusion process into upside and downside components. Recent studies establish that this decomposition enhances volatility predictions and highlight the upside/downside variance spread as a driver of the asymmetry in stock price distributions. To appraise the economic gain of this decomposition, we design a new and flexible option pricing model in which the underlying asset price exhibits distinct upside and downside semivariance dynamics driven by the model-free proxies of the variances. The new model outperforms common benchmarks, especially the alternative that splits the quadratic variation into diffusive and jump components.


10.3386/w4458 ◽  
1993 ◽  
Author(s):  
Bernard Dumas ◽  
L. Peter Jennergren ◽  
Bertil Naslund

2020 ◽  
Vol 23 (06) ◽  
pp. 2050037 ◽  
Author(s):  
Yuan Hu ◽  
Abootaleb Shirvani ◽  
Stoyan Stoyanov ◽  
Young Shin Kim ◽  
Frank J. Fabozzi ◽  
...  

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete markets, where we consider traders with information on the stock price direction and stock return mean. The Black–Scholes–Merton option pricing theory is extended for markets with informed traders, where price processes are following continuous-diffusions. By doing so, the discontinuity puzzle in option pricing is resolved. Using market option data, we estimate the implied surface of the probability for a stock upturn, the implied mean stock return surface, and implied trader information intensity surface.


2020 ◽  
Vol 555 ◽  
pp. 124444 ◽  
Author(s):  
Reaz Chowdhury ◽  
M.R.C. Mahdy ◽  
Tanisha Nourin Alam ◽  
Golam Dastegir Al Quaderi ◽  
M. Arifur Rahman

2011 ◽  
Vol 225-226 ◽  
pp. 338-341
Author(s):  
Hui Zhang ◽  
Wen Yu Meng

In this paper, we study the new method of option pricing based on the risk preference. We define the equivalent classes of random events based on the historical information and the risk preference. The dynamic pricing model of power options has been studied. Applying the conditional density function of the stock price process, we have given the explicit solution of the model. And we analyze the influence of Hurst parameter on pricing formula.


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