In this article, we take the funding liquidity risk into account when determining the optimal liquidity reserve ratio for a commercial bank. A simple continuous-time model is developed, and a discrete-time model is built as a benchmark. We find that compared with the continuous-time model, the...

This article investigates how the jump in the exchange rate and risky asset can affect the central bank's foreign management. We find that the jump in the exchange rate has a positive impact on the need for the risky asset, whereas the jump in the risky asset has a negative impact. However, the...

This article follows the framework of Klein (1996) to present an improved method of pricing vulnerable options under jump diffusion assumptions about the underlying stock prices and firm values which are appropriate in many business situations. In contrast to Klein's (1996) model, jumps allow...