Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models
Utilizing frame duality and a FFT-based implementation of density projection we develop a
novel and efficient transform method to price Asian options for very general asset dynamics …
novel and efficient transform method to price Asian options for very general asset dynamics …
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 …
challenging to price with traditional methods. Especially challenging are those contracts …
A data-driven framework for consistent financial valuation and risk measurement
In this paper, we propose a general data-driven framework that unifies the valuation and risk
measurement of financial derivatives, which is especially useful in markets with thinly-traded …
measurement of financial derivatives, which is especially useful in markets with thinly-traded …
Analysis of VIX-linked fee incentives in variable annuities via continuous-time Markov chain approximation
We consider the pricing of variable annuities (VAs) with general fee structures under a class
of stochastic volatility models which includes the Heston, Hull-White, Scott, α …
of stochastic volatility models which includes the Heston, Hull-White, Scott, α …
An analysis of dollar cost averaging and market timing investment strategies
In this paper we present new theoretical and practical insights into the method of dollar cost
averaging (DCA) and averaging-style investment timing strategies, with a formal analysis of …
averaging (DCA) and averaging-style investment timing strategies, with a formal analysis of …
A general continuous time Markov chain approximation for multi-asset option pricing with systems of correlated diffusions
Abstract Continuous time Markov Chain (CTMC) approximation techniques have received
increasing attention in the option pricing literature, due to their ability to solve complex …
increasing attention in the option pricing literature, due to their ability to solve complex …
The return barrier and return timer option with pricing under Levy processes
JL Kirkby, JP Aguilar - Expert Systems with Applications, 2023 - Elsevier
This work introduces two new financial derivatives into the finance literature. The first is the
return barrier option, which has emerged recently as a popular contract in the OTC markets …
return barrier option, which has emerged recently as a popular contract in the OTC markets …
Analysis of Markov chain approximation for Asian options and occupation-time derivatives: Greeks and convergence rates
W Yang, J Ma, Z Cui - Mathematical Methods of Operations Research, 2021 - Springer
The continuous-time Markov chain (CTMC) approximation method is a powerful tool that has
recently been utilized in the valuation of derivative securities, and it has the advantage of …
recently been utilized in the valuation of derivative securities, and it has the advantage of …
On pricing of discrete Asian and Lookback options under the Heston model
L Perotti, LA Grzelak - International Journal of Computer …, 2024 - Taylor & Francis
We propose a new, data-driven approach for efficient pricing of–fixed-and floating-strike–
discrete arithmetic Asian and Lookback options when the underlying process is driven by …
discrete arithmetic Asian and Lookback options when the underlying process is driven by …
The bilateral Gamma motion: Calibration and option pricing
JL Kirkby, CA Rinella, JP Aguilar - Frontiers of Mathematical …, 2024 - aimsciences.org
This work considers the calibration of exponential Lévy models to market options data and
the subsequent pricing of exotic options. We focus on a natural and promising extension of …
the subsequent pricing of exotic options. We focus on a natural and promising extension of …