Over-the-counter stock markets in the world have been growing rapidly and vulnerability to default risks of option holders traded in the over-the-counter markets became an important issue, in particular, since the global finance crisis and Eurozone crisis. This paper studies the pricing of European-type vulnerable options when the underlying asset follows the Heston dynamics. In this paper, we obtain a closed form analytic formula of the option price as a stochastic volatility extension of the classical Heston formula and find how the stochastic volatility effect on the Black-Scholes price as well as on the decreasing speed of the option price with credit risk depends on moneyness.
Bibliographical noteFunding Information:
The research of J.-H. Kim was supported by the National Research Foundation of Korea NRF-2013R1A1A2A10006693 .
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Applied Mathematics