Application of power series approximation techniques to valuation of European style options
From MaRDI portal
Publication:5014193
DOI10.1080/14697688.2020.1809696zbMath1477.91054OpenAlexW3097214792MaRDI QIDQ5014193
Nikolay Gudkov, Jonathan Ziveyi
Publication date: 1 December 2021
Published in: Quantitative Finance (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14697688.2020.1809696
Fourier transformsstochastic volatilitystochastic interest rateEuropean optionvariable annuitiespower series representation
Interest rates, asset pricing, etc. (stochastic models) (91G30) Derivative securities (option pricing, hedging, etc.) (91G20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions
- Optimal surrender policy for variable annuity guarantees
- Interest rate models -- theory and practice. With smile, inflation and credit
- A fast Fourier transform technique for pricing American options under stochastic volatility
- On a one time-step Monte Carlo simulation approach of the SABR model: application to European options
- Optimal surrender of guaranteed minimum maturity benefits under stochastic volatility and interest rates
- A closed-form pricing formula for European options under the Heston model with stochastic interest rate
- Operator splitting methods for American option pricing.
- Analytic pricing of volatility-equity options within Wishart-based stochastic volatility models
- Computational methods for quantitative finance. Finite element methods for derivative pricing
- Option pricing using the fast Fourier transform under the double exponential jump model with stochastic volatility and stochastic intensity
- Pricing and hedging of guaranteed minimum benefits under regime-switching and stochastic mortality
- Continuous Markov processes and stochastic equations
- Pricing Stock Options in a Jump-Diffusion Model with Stochastic Volatility and Interest Rates: Applications of Fourier Inversion Methods
- A Theory of the Term Structure of Interest Rates
- Efficient and stable numerical solution of the Heston–Cox–Ingersoll–Ross partial differential equation by alternating direction implicit finite difference schemes
- On the Heston Model with Stochastic Interest Rates
- Efficient Options Pricing Using the Fast Fourier Transform
- The Shape and Term Structure of the Index Option Smirk: Why Multifactor Stochastic Volatility Models Work So Well
- Riccati's Nonlinear Differential Equation
- Numerical Methods in Finance and Economics
- A multifactor volatility Heston model
- Time Dependent Heston Model
- A Universal Pricing Framework for Guaranteed Minimum Benefits in Variable Annuities
- Transform Analysis and Asset Pricing for Affine Jump-diffusions
- Revisiting the Risk-Neutral Approach to Optimal Policyholder Behavior: A Study of Withdrawal Guarantees in Variable Annuities *
- On an efficient multiple time step Monte Carlo simulation of the SABR model
- Dynamics of implied volatility surfaces
- Multiscale Stochastic Volatility Asymptotics
- Speed and biases of Fourier-based pricing choices: a numerical analysis
- COMPONENTWISE SPLITTING METHODS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY
- Computational Methods for Option Pricing
- An equilibrium characterization of the term structure
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Pricing Interest-Rate-Derivative Securities
- Stock Price Distributions with Stochastic Volatility: An Analytic Approach
- Tools for computational finance