Game Options approach in bankruptcy triggering asset value

In this paper, we develop a new numerical method, game theory and option pricing to compute a bankruptcy triggering asset value. we will draw our attention to determining a the numerical asset value, or price of a share, at which a bankruptcy is triggered. This paper develops and analyze a cubic spline collocation method for approximating solutions of the problem. This method converges quadratically. In addition, this article also provides with a real-life case study of the investment bank, and the optimal bankruptcy strategy in this particular case. As we will observe, the bankruptcy trigger computed in this example could have served as a good guide for predicting fall of this investment bank.