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Classical measure underpins the foundations of financial derivative pricing, as the classical expectation satisfies the …. Quantum measure extends this by allowing payoffs to be noncommuting, offering a source of volatility not present in the … example, this article considers the practical benefits of quantum probability for derivative pricing, and concludes with the …
Persistent link: https://www.econbiz.de/10013062494
We study a novel implementation of the explicit and the implicit Crank-Nicolson (CN) numerical schemes for solving time-dependent Parabolic Partial Differential Equations (PDEs) in one spatial dimension in a variety of applications in computational finance related with the the One-Factor...
Persistent link: https://www.econbiz.de/10013062496
We price derivatives defined for different asset classes with a full stochastic dependence structure. We consider jointly geometric Brownian motions and mean-reversion processes with a a stochastic variance-covariance matrix driven by a Wishart process. These models cannot be treated within the...
Persistent link: https://www.econbiz.de/10013063402
two key channels---the volatility channel and the price channel---and a change in systematic risk causes a repricing of … the underlying asset that may dominate the volatility channel. The comparative statics are robust to the presence of … stochastic volatility, and thus yield internally consistent implications not only for the cross-section of options but also for …
Persistent link: https://www.econbiz.de/10012830325
A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...
Persistent link: https://www.econbiz.de/10009741915
. Specifically, we use swarm intelligence to find the optimal exercise boundary for an American-style derivative. Swarm intelligence …
Persistent link: https://www.econbiz.de/10012483653
categories with a high level of volatility in In-the money category, other finding concludes that the Monte Carlo Simulation … method is outperforming when the volatility is lower, while the Black-Sholes model and the Binomial model are outperforming …
Persistent link: https://www.econbiz.de/10012115106
Over the last decade, dividends have become a standalone asset class instead of a mere side product of an equity investment. We introduce a framework based on polynomial jump-diffusions to jointly price the term structures of dividends and interest rates. Prices for dividend futures, bonds, and...
Persistent link: https://www.econbiz.de/10011874740
). The purpose is to by-pass the derivative of an (irregular) pay-off function in a jump-type market by introducing a weight …
Persistent link: https://www.econbiz.de/10011886622
, especially on the BS implied volatility. Implied binomial trees (IBT) models capture the variations of the implied volatility … known as "volatility smile". They provide a discrete approximation to the continuous risk neutral process for the underlying … Barle and Cakici (BC). After the formation of IBT we can estimate the implied local volatility and the state price density …
Persistent link: https://www.econbiz.de/10012966270