Hybrid equity swap, cap, and floor pricing under stochastic interest by Markov chain approximation

JL Kirkby - European Journal of Operational Research, 2023 - Elsevier
Hybrid equity-rate derivatives are commonly traded between financial institutions, but are
challenging to price with traditional methods. Especially challenging are those contracts …

Willow tree algorithms for pricing guaranteed minimum withdrawal benefits under jump-diffusion and CEV models

B Dong, W Xu, YK Kwok - Quantitative Finance, 2019 - Taylor & Francis
This paper presents the willow tree algorithms for pricing variable annuities with Guaranteed
Minimum Withdrawal Benefits (GMWB), where the underlying fund dynamics evolve under …

Cosine willow tree structure under Lévy processes with application to pricing variance derivatives

J Ma, W Xu, Y Yao - The Journal of Derivatives, 2021 - pm-research.com
Lévy process models can capture the large price changes on sudden exogenous events
and can better demonstrate the high peak and heavy tail characteristics of financial data …

[HTML][HTML] Implied volatility surface construction for commodity futures options traded in China

W Xu, A Šević, Ž Šević - Research in International Business and Finance, 2022 - Elsevier
European futures options are not traded on the Chinese exchanges and that generates
difficulties to calibrate fundamental market parameters, such as the implied volatilities. We …

Pricing convertible bonds

JA Batten, KLH Khaw, MR Young - Journal of Banking & Finance, 2018 - Elsevier
Convertible bonds are an important segment of the corporate bond market although their
pricing is compromised by the presence of complex option features and difficulty in …

[PDF][PDF] A unified willow tree framework for one-factor short-rate models

G Wang, W Xu - The Journal of Derivatives, 2018 - researchgate.net
Short rate models are critical and fundamental to govern the evolution of stochastic interest
rate in derivatives pricing and risk management. Numerical methods for these models are …

Valuation model for Chinese convertible bonds with soft call/put provision under the hybrid willow tree

C Ma, W Xu, G Yuan - Quantitative Finance, 2020 - Taylor & Francis
The Chinese convertible bond market has been developing rapidly in the last 10 years.
However, some special characteristics of the Chinese convertible bond, such as the soft …

A Unifying Approach for the Pricing of Debt Securities

MC Vachon, A Mackay - arXiv preprint arXiv:2403.06303, 2024 - arxiv.org
We propose a unifying framework for the pricing of debt securities under general time-
inhomogeneous short-rate diffusion processes. The pricing of bonds, bond options …

[HTML][HTML] Pricing Chinese convertible bonds with default intensity by Monte Carlo method

X Luo, J Zhang - Discrete Dynamics in Nature and Society, 2019 - hindawi.com
This article proposes a new way to price Chinese convertible bonds by the Longstaff-
Schwartz Least Squares Monte Carlo simulation. The default intensity and the volatility are …

Convertible bond valuation with regime switching

BJ Kim, BG Jang - Chaos, Solitons & Fractals, 2021 - Elsevier
We present a valuation formula for convertible bonds with regime-switching market
conditions by decomposing the convertible bond into a coupon-bearing bond and the …