Bonggyu Jang

This paper investigates the optimal retirement of an individual in the presence of involuntary unemployment risks and borrowing constraints in a complete market with frictions. We use an intensity model and loading factors to illustrate the involuntary unemployment risks and frictions in unemployment insurance markets. Using reasonably calibrated parameters, we observe that high involuntary unemployment intensity and loading factors could be important explanations for the empirical findings emph

We introduce a simple iterative method to determine the optimal exercise boundary for American options, allowing us to compute the values of American options and their Greeks quickly and accurately. Following Little, Pant and Hou's idea (2000 Little, T, Pant, V and Hou, C. 2000. A new integral representation of the early exercise boundary for American put options. J. Comput. Finan., 3: 73–96. [Google Scholar]), we derive a new equation for the optimal exercise boundary containing a single integr

Psychological barriers are prevalent among various asset classes, and it is important to consider their impact on the prices of derivative securities. This paper demonstrates the potential existence of such barriers on the S&P 500 Index and examines their impact on this index's rate of return and volatility. It focuses on deriving analytic European option prices under the assumption that the dynamics of stock prices follow a threshold model; this paper also evaluates this model's empirical p

Abstract We consider partial and complete information models to investigate how partial information has a unique quality over complete information for insurers. We find that optimal reinsurance and investment strategies for the partially informed insurer depend on prior beliefs, whereas those for the completely informed insurer do not. In addition, information quality can affect insurer behaviour, mainly through the relative difference between risk‐adjusted market premium and risk‐adjusted insur

We find a closed-form formula for valuing a time-switch option where its underlying asset is affected by a stochastically changing market environment, and apply it to the valuation of other qualitative options such as corridor options and options in foreign exchange markets. The stochastic market environment is modeled as a Markov regime-switching process. This analytic formula provides us with a rapid and accurate scheme for valuing qualitative options with stochastic volatility.