G Bernis, M Garcin, S Scotti, C Sgarra - SIAM Journal on Financial …, 2023 - SIAM
This paper includes a marked Hawkes process in the original Heath–Jarrow–Morton (HJM) setup and investigates the impact of this assumption on the pricing of the popular vanilla …
B Jing, S Li, Y Ma - The North American Journal of Economics and Finance, 2021 - Elsevier
This paper presents a valuation of VIX options employing a Hawkes jump-diffusion model that captures the clustering pattern of jumps observed extensively in the financial markets. In …
Y Shen, B Zou - SIAM Journal on Financial Mathematics, 2022 - SIAM
We consider a mean-variance portfolio selection problem in a financial market with contagion risk. The risky assets follow a jump-diffusion model, in which jumps are driven by …
W Wang, Y Shen, L Qian… - Journal of Industrial & …, 2022 - search.ebscohost.com
This paper studies the hedging problem of unit-linked life insurance contracts in an incomplete market presence of self-exciting (clustering) effect, which is described by a …
Z Sun, X Zhang, YN Li - Communications in Statistics-Theory and …, 2021 - Taylor & Francis
In this article, we consider zero-coupon bond pricing problems for the stochastic interest rate model with clustering effects of self-exciting jumps. We first develop the evolution of the …
K Park - Journal of Internet Computing and Services, 2024 - koreascience.kr
In this paper, we derive the Partial Differential Bond Price Equation (PDBPE) by using Ito's Lemma to determine the pricing of bond on term-structure of interest rate (TSIR) model with …
G Lee, K Park - Journal of the Korea Society for Simulation, 2019 - koreascience.kr
In this paper, we deal with two pricing of bond options using the relationship between the forward rate model and the Libor rate model. First, we derive a formula for obtaining …
In this paper, we first introduce a general self-exciting model with affine structures and some distributional properties, such as the Laplace transforms, first and second conditional …