Abstract
AbstractIn this paper we provide a stock price model that explicitly incorporates credit risk, under a stochastic optimal control system. The stock price model also incorporates the managerial control of credit risk through a control policy in the stochastic system. We provide explicit conditions on the existence of optimal feedback controls for the stock price model with credit risk. We prove the continuity of the value function, and then prove the dynamic programming principle for our system. Finally, we prove the Viscosity Solution of the Hamilton–Jacobi–Bellman equation. This paper is particularly relevant to industry, as the impact of credit risk upon stock prices has been prominent since the commencement of the Global Financial Crisis.
Publisher
Springer Science and Business Media LLC
Subject
Management Science and Operations Research,General Decision Sciences
Reference54 articles.
1. Affes, Z., & Hentati-Kaffel, R. (2019). Forecast bankruptcy using a blend of clustering and MARS model: case of US banks. Annals of Operations Research, 281, 27–64.
2. Bao, J., & Shao, J. (2016). Permanence and extinction of regime-switching predator-prey models. SIAM Journal on Mathematical Analysis, 48(1), 725–739.
3. Black, F. (1976). Studies of stock market volatility changes. Proceedings of the American Statistical Association, Business and Economic Statistics Section, 1(1), 177–181.
4. Black, F., & Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637–654.
5. Brandimarte, P. (2006). Numerical methods in finance and economics: a matlab-based introduction. New York: Wiley.