This study extends the framework of Klein [Journal of Banking & Finance, 20, 1211–1229] to price vulnerable options. We provide a pricing model for vulnerable options which face not only default risk but also rare shocks encountered by the underlying asset and the assets of the counterparty....

This paper explores the first hitting times for doubly skewed Ornstein–Uhlenbeck (OU) processes. The explicit Laplace transforms of the first hitting times are obtained in terms of Hermite functions, and the means of the first hitting times can be derived as well. We also show the hitting time...

Judicial quality affects firms' exports through its efficiency in settling business contract disputes (transaction costs). Firms in regions with better judicial quality will have a comparative advantage in exporting the goods that source heavily relationship-specific intermediate inputs...

In this paper, we develop an option valuation model where the dynamics of the spot foreign exchange rate is governed by a two-factor Markov-modulated jump-diffusion process. The short-term fluctuation of stochastic volatility is driven by a Cox--Ingersoll--Ross (CIR) process and the long-term...

This paper links firms’ endogenous quality choice to worker effort and efficiency wages. The model generates two distinct features: effort is rewarded and quality is rewarded. Then firms with higher monitoring accuracy produce higher quality and pay higher wages. When trade is opened, while...

In this paper, we consider a portfolio optimization problem in a defaultable market. The representative investor dynamically allocates his or her wealth among the following securities: a perpetual defaultable bond, a money market account and a default-free risky asset. The optimal investment and...

<title>Abstract</title>In this paper, we introduce tractable dynamic models for financial variables (such as interest rates, foreign exchange rates, commodity prices, etc.) with capturing both jump risk and boundedness of the price fluctuation in a regulated market. For the jump risk, we use a compound Poisson...

In this paper, we consider a class of nonlocal stochastic Kuramoto–Sivashinsky equations driven by additive noises. Under some appropriate conditions, we investigate long time behavior, i.e., stability and growth bounds of the solutions to the equation. Finally, several examples are given to...

Fleischmann and Mueller (Probab. Theory Related Fields 107 (1997) 325) constructed a super-Brownian motion in R1 with a locally infinite branching rate function, and they showed that this super-Brownian motion has a strong killing property in the critical case. In this paper, we first construct,...