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Taking a portfolio perspective on option pricing and hedging, we show that within the standard Black …) hedging the total risk of each option separately, the correct hedge portfolio in discrete time eliminates linear (delta) as … indefinitely. This ties the literature on option pricing and hedging closer together with the APT literature in its focus on …
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While the stochastic volatility (SV) generalization has been shown to improvethe explanatory power compared to the Black-Scholes model, the empiricalimplications of the SV models on option pricing have not been adequately tested.The purpose of this paper is to first estimate a multivariate SV...
Persistent link: https://www.econbiz.de/10011284060
We study a mixed hitting-time (MHT) model that specifies durations as the first time a Lévy process - a continuous-time process with stationary and independent increments - crosses a heterogeneous threshold. Such models are of substantial interest because they can be reduced from...
Persistent link: https://www.econbiz.de/10011372965
hedging product for the spot market, and the demand for this product is high when the market becomes risky: more risk averse …
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When using an Euler discretisation to simulate a mean-reverting square root process, one runs into the problem that while the process itself is guaranteed to be nonnegative, the discretisation is not. Although an exact and efficient simulation algorithm exists for this process, at present this...
Persistent link: https://www.econbiz.de/10011349176
At the time of writing this article, Fourier inversion is the computational method of choice for a fast and accurate calculation of plain vanilla option prices in models with an analytically available characteristic function. Shifting the contour of integration along the complex plane allows for...
Persistent link: https://www.econbiz.de/10011349177
The characteristic functions of many affine jump-diffusion models, such as Heston’s stochastic volatility model and all of its extensions, involve multivalued functions such as the complex logarithm. If we restrict the logarithm to its principal branch, as is done in most software packages,...
Persistent link: https://www.econbiz.de/10011349189
This article establishes the Poisson optional stopping times (POST) method by [22] as a near-universal method for solving liquidity-constrained American options, or, equivalently, penalised optimal-stopping problems. In this setup, the decision maker is permitted to "stop", i.e. exercise the...
Persistent link: https://www.econbiz.de/10012817150