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In this notes, I argue and show that the so-called Efficient Markets Hypothesis (EMH) is no less than a false prophecy, the Black-Scholes-Merton (BSM) formula - a perfect rendition of EMH - no more than a parlor trick, and risk-neutral pricing models - generalisations of BSM - severe...
Persistent link: https://www.econbiz.de/10012937483
After Presenting the payoff, we will establish some methods to evaluate, hedge and risk manage the digital risk.This article is the first part of the answer. It is focus on the digital pricing and hedging
Persistent link: https://www.econbiz.de/10013114124
Pricing kernels implicit in option prices play a key role in assessing the risk aversion over equity returns. We deal with nonparametric estimation of the pricing kernel (Empirical Pricing Kernel) given by the ratio of the risk-neutral density estimator and the subjective density estimator. The...
Persistent link: https://www.econbiz.de/10010270732
This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...
Persistent link: https://www.econbiz.de/10013251128
We consider calibration of log-normal stochastic volatility model and computation of option delta consistently with statistical dynamics of the asset price and its implied volatility surface. We introduce the concept of volatility skew-beta which serves as an empirical adjustment for empirical...
Persistent link: https://www.econbiz.de/10013006773
Quantitative structuring is a rigorous framework for the design of financial products. We show how it incorporates traditional investment ideas while supporting a more accurate expression of clients' views. We touch upon adjacent topics regarding the safety of financial derivatives and the role...
Persistent link: https://www.econbiz.de/10013007528
It has been recently shown that spot volatilities can be very well modeled by rough stochastic volatility type dynamics. In such models, the log-volatility follows a fractional Brownian motion with Hurst parameter smaller than 1/2. This result has been established using high frequency volatility...
Persistent link: https://www.econbiz.de/10012963422
Pricing kernels implicit in option prices play a key role in assessing the risk aversion over equity returns. We deal with non-parametric estimation of the pricing kernel (Empirical Pricing Kernel) given by the ratio of the risk-neutral density estimator and the subjective density estimator. The...
Persistent link: https://www.econbiz.de/10012966302
A Markovian Projection is investigated for the Local Stochastic Volatility Libor Market Model. An approximation based on the Log Normal process is introduced. In this approximation, the Markovian Projection is fitted to the CEV model rather than to Displaced Diffusion. The relationship with a...
Persistent link: https://www.econbiz.de/10013022212
We use the ideas of American Monte Carlo methods to develop a fast approximate pricing of FX target redemption forwards. One possible application for this are XVA simulations. We give numerical examples using the QuantLib pricing library
Persistent link: https://www.econbiz.de/10013022635