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The optimal portfolio of a utility-maximizing investor trading in the S&P 500 index and cash, subject to proportional transaction costs, becomes stochastically dominated when overlaid with a zero-net-cost portfolio of S&P 500 options bought at their ask and written at their bid price in most...
Persistent link: https://www.econbiz.de/10012965783
To analyze the economic significance of pricing errors of stock index options, a system of linear inequalities is developed which completely characterizes all risk arbitrage opportunities which arise if a well-behaved pricing kernel does not exist. The Stochastic Arbitrage system can account for...
Persistent link: https://www.econbiz.de/10012899380
We analyze the joint cross-section of monthly S&P500 stock index options and monthly CBOE Volatility Index options by constructing and evaluating option combinations that appear undervalued for all permissible values of the latent parameters of the unifying option pricing model and the joint...
Persistent link: https://www.econbiz.de/10014351229
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 study the intra-horizon value at risk (iVaR) in a general jump diffusion setup and propose a new model of asset returns called displaced mixed-exponential model, which can arbitrarily closely approximate finite-activity jump-diffusions and completely monotone Levy processes. We derive...
Persistent link: https://www.econbiz.de/10012935916
Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...
Persistent link: https://www.econbiz.de/10012826182
Perpetual futures are contracts without expiration date in which the anchoring of the futures price to the spot price is ensured by periodic funding payments from long to short. We derive explicit expressions for the no-arbitrage price of various perpetual contracts, including linear, inverse,...
Persistent link: https://www.econbiz.de/10015072878
This paper introduces the Inverse Gamma (IGa) stochastic volatility model with time-dependent parameters, defined by the volatility dynamics dVt = κt.(θt − Vt).dt λt.Vt.dBt. This non-affine model is much more realistic than classical affine models like the Heston stochastic volatility...
Persistent link: https://www.econbiz.de/10013004351
This paper analyses the implementation and calibration of the Heston Stochastic Volatility Model. We first explain how characteristic functions can be used to estimate option prices. Then we consider the implementation of the Heston model, showing that relatively simple solutions can lead to...
Persistent link: https://www.econbiz.de/10013005643
This paper provides a number of relevant guidelines to build a consistent Volatility Smile accounting for the FX market conventions. This consistency is understood as fitting a model which is able to price vanilla options across all possible strikes given the knowledge of a few market...
Persistent link: https://www.econbiz.de/10012967622