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option hedging errors. We derive a closed-form solution for the option hedging error and its expectation in a stochastic jump … expected hedging error cannot identify the exact structure of the compensation for jump risk. Furthermore, we derive closed … form solutions for the expected option hedging error under discrete trading and model mis-specification. Compared to the …
Persistent link: https://www.econbiz.de/10005057037
This paper deals with the superhedging of derivatives on incomplete markets, i.e. with portfolio strategies which generate payoffs at least as high as that of a given contingent claim. The simplest solution to this problem is in many cases a static superhedge, i.e. a buy-and-hold strategy...
Persistent link: https://www.econbiz.de/10010263307
This paper is devoted to the problem of hedging contingent claims in the framework of a complete two-factor jump … determine the unique hedging strategies which minimize a suitably defined shortfall risk under a given cost constraint. We … derive explicit formulas for this so-called efficient or quantile hedging strategy for a European call option. We then …
Persistent link: https://www.econbiz.de/10009621417
In contrast to conventional model-based derivative pricing, a recent stream of research aims to investigate what prices are consistent with absence of arbitrage, given only the current prices of traded options on the same underlying. This paper gives a succinct survey of work in this area. After...
Persistent link: https://www.econbiz.de/10013024521
This paper presents a novel framework for pricing and hedging of the Guaranteed Minimum Benefits (GMBs) embedded in …-switching model. Semi-closed form solutions for prices of various GMBs are derived; pricing and hedging is performed using an accurate …, fast and efficient Fourier Space Time-stepping (FST) algorithm, which allows deriving the Greeks required for hedging …
Persistent link: https://www.econbiz.de/10012994274
This paper solves the mean-variance hedging problem in Heston's model with a stochastic opportunity set moving … derive formulas for the hedging strategy and the hedging error …
Persistent link: https://www.econbiz.de/10012705869
Closed-form pricing formulae and option Greeks are obtained for European-type options using an orthogonal polynomial series -- complex Fourier series. We assume that risky assets are driven by exponential Lévy processes and stochastic volatility models. We provide a succinct error analysis to...
Persistent link: https://www.econbiz.de/10012967806
A discrete time model of financial markets is considered. It is assumed that the stock price evolution is described by a homogeneous Markov chain. In the focus of attention is the expected value of the guaranteed profit of the investor that arises when the jumps of the stock price are bounded....
Persistent link: https://www.econbiz.de/10010293729
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 …
Persistent link: https://www.econbiz.de/10010324983
It is well-known that Gaussian hedging strategies are robust in the sense that they always lead to a cost process of … hedging instruments from a given set of traded assets, in particular of zero coupon bonds, is studied. Misspecified hedging …
Persistent link: https://www.econbiz.de/10010263067