Multi-step double barrier options

2021 ◽  
pp. 102587
Author(s):  
Hangsuck Lee ◽  
Himchan Jeong ◽  
Minha Lee
2021 ◽  
Vol 14 (3) ◽  
pp. 136
Author(s):  
Holger Fink ◽  
Stefan Mittnik

Since their introduction, quanto options have steadily gained popularity. Matching Black–Scholes-type pricing models and, more recently, a fat-tailed, normal tempered stable variant have been established. The objective here is to empirically assess the adequacy of quanto-option pricing models. The validation of quanto-pricing models has been a challenge so far, due to the lack of comprehensive data records of exchange-traded quanto transactions. To overcome this, we make use of exchange-traded structured products. After deriving prices for composite options in the existing modeling framework, we propose a new calibration procedure, carry out extensive analyses of parameter stability and assess the goodness of fit for plain vanilla and exotic double-barrier options.


1999 ◽  
Vol 02 (01) ◽  
pp. 17-42 ◽  
Author(s):  
RAPHAËL DOUADY

We first recall the well-known expression of the price of barrier options, and compute double barrier options by the mean of the iterated mirror principle. The formula for double barriers provides an intraday volatility estimator from the information of high-low-close prices. Then we give explicit formulas for the probability distribution function and the expectation of the exit time of single and double barrier options. These formulas allow to price time independent and time dependent rebates. They are also helpful to hedge barrier and double barrier options, when taking into account variations of the term structure of interest rates and of volatility. We also compute the price of rebates of double knock-out options that depend on which barrier is hit first, and of the BOOST, an option which pays the time spent in a corridor. All these formulas are either in closed form or double infinite series which converge like e-α n2.


2021 ◽  
Vol 290 (1) ◽  
pp. 313-330 ◽  
Author(s):  
Vasileios E. Kontosakos ◽  
Keegan Mendonca ◽  
Athanasios A. Pantelous ◽  
Konstantin M. Zuev

2014 ◽  
Vol 17 (06) ◽  
pp. 1450035
Author(s):  
ELISA APPOLLONI ◽  
MARCELLINO GAUDENZI ◽  
ANTONINO ZANETTE

We consider the problem of pricing step double barrier options with binomial lattice methods. We introduce an algorithm, based on interpolation techniques, that is robust and efficient, that treats the "near barrier" problem for double barrier options and permits the valuation of step double barrier options with American features. We provide a complete convergence analysis of the proposed lattice algorithm in the European case.


2010 ◽  
Vol 22 (3) ◽  
pp. 419-444 ◽  
Author(s):  
Mitya Boyarchenko ◽  
Sergei Levendorskiĭ

2014 ◽  
Vol 15 (12) ◽  
pp. 1995-2010 ◽  
Author(s):  
José Carlos Dias ◽  
João Pedro Vidal Nunes ◽  
João Pedro Ruas

Wilmott ◽  
2003 ◽  
Vol 2003 (6) ◽  
pp. 46-49 ◽  
Author(s):  
Pradipto Banerjee

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