Pricing Vulnerable Options with Copulas

Author(s):  
Umberto Cherubini ◽  
Elisa Luciano
Keyword(s):  

2013 ◽  
Vol 15 (3) ◽  
pp. 204
Author(s):  
Chixiang CHEN ◽  
Biyi SHEN ◽  
Guangyu YANG




2019 ◽  
Vol 15 (1) ◽  
pp. 293-318 ◽  
Author(s):  
Qing-Qing Yang ◽  
◽  
Wai-Ki Ching ◽  
Wanhua He ◽  
Tak-Kuen Siu ◽  
...  


2005 ◽  
Vol 14 (3) ◽  
pp. 376-392 ◽  
Author(s):  
Jangkoo Kang ◽  
Hwa-Sung Kim






2018 ◽  
Vol 33 (1) ◽  
pp. 81-104 ◽  
Author(s):  
Xingyu Han

In this paper, we extend the framework of Klein [15] [Journal of Banking & Finance 20: 1211–1229] to a general model under the double exponential jump model with stochastic volatility on the underlying asset and the assets of the counterparty. Firstly, we derive the closed-form characteristic functions for this dynamic. Using the Fourier-cosine expansion technique, we get numerical solutions for vulnerable European put options based on the characteristic functions. The inverse fast Fourier transform method provides a fast numerical algorithm for the twice-exercisable vulnerable Bermuda put options. By virtue of the modified Geske and Johnson method, we obtain an approximate pricing formula of vulnerable American put options. Numerical simulations are made for investigating the impact of stochastic volatility on vulnerable options.



2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Chao Wang ◽  
Shengwu Zhou ◽  
Jingyuan Yang

Under the assumption of the stock price, interest rate, and default intensity obeying the stochastic differential equation driven by fractional Brownian motion, the jump-diffusion model is established for the financial market in fractional Brownian motion setting. With the changes of measures, the traditional pricing method is simplified and the general pricing formula is obtained for the European vulnerable option with stochastic interest rate. At the same time, the explicit expression for it comes into being.



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