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expansion to price options when the risk-neutral density is asymmetric and leptokurtic. Amongst them, one can distinguish the …
Persistent link: https://www.econbiz.de/10010745304
Several authors have proposed series expansion methods to price options when the risk-neutral density is asymmetric and … sensitivities of option prices to shifts in skewness and kurtosis using parameter values from Corrado- Su (1996) and Brown …-Robinson (2002), and market data from the French options market. We show that di¤erences between the original, corrected, and our …
Persistent link: https://www.econbiz.de/10011071378
This paper considers a new class of Monte Carlo methods that are combined with PDE expansions for the pricing and hedging of derivative securities for multidimensional diffusion models. The proposed method combines the advantages of both PDE and Monte Carlo methods and can be directly applied to...
Persistent link: https://www.econbiz.de/10010888484
We provide an analytical and flexible framework to evaluate incentive options. Our model not only considers vesting … resetting to capture the fact that firms tend to grant more options after existing options are either exercised or become deep … out of the money. By treating the incentive option as a flow of barrier options, we are able to obtain a near …
Persistent link: https://www.econbiz.de/10005329033
The paper discusses the problem of hedging not perfectly replicable contingent claims by using a benchmark, the numerraire portfolio, as reference unit. The proposed concept of benchmarked risk minimization generalizes classical risk minimization, pioneered by Follmer, Sondermann and Schweizer....
Persistent link: https://www.econbiz.de/10009357762
Estimation theory has shown, due to the limited estimation window available for real asset data, the sample based Markowitz mean-variance approach produces unreliable weights which fluctuate substantially over time. This paper proposes an alternate approach to portfolio optimization, being the...
Persistent link: https://www.econbiz.de/10008483767
This paper derives a unified framework for portfolio optimization, derivative pricing, financial modeling and risk measurement. It is based on the natural assumption that investors prefer more or less, in the sense that the higher drift is preferred. Each such investor is shown to hold an...
Persistent link: https://www.econbiz.de/10004984454
This paper proposes a consistent benchmark approach to price weather derivatives. The growth optimal portfolio to price weather derivatives. The growth optimal portfolio is used as numeraire such that all benchmarked fair price processes are martingales. No measure transformation is needed for...
Persistent link: https://www.econbiz.de/10004984459
. Furthermore, put and call options on an index are studied that measure the credit worthiness of a firm. …
Persistent link: https://www.econbiz.de/10004984460
This paper considers a class of incomplete financial market models with security price processes that exhibit intensity based jumps. The benchmark or numeraire is chosen to be the growth optimal portfolio. Portfolio values, when expressed in units of the benchmark, are local martingales. In...
Persistent link: https://www.econbiz.de/10004984464