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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 …
Persistent link: https://www.econbiz.de/10010324983
In both complete and incomplete markets we consider the problem of fulfilling a financial obligation xc as well as possible at time T if the initial capital is not sufficient to hedge xc. This introduces a new risk into the market and our main aim is to minimize this shortfall risk by making use...
Persistent link: https://www.econbiz.de/10010324097
Nonparametric methods for estimating the implied volatility surface or the implied volatility smile are very popular …. The first step requires to extract implied volatility data from observed option prices, in the second step the actual … and less tractable. In this study, we propose a one-step estimator for the implied volatility surface based on a least …
Persistent link: https://www.econbiz.de/10010296461
In this paper we analyse the mean-variance hedging approach in an incomplete market under the assumption of additional … measures shrinks. Therefore, we obtain a modified mean-variance hedging problem, which takes into account the observed … obtain an explicit description of the optimal hedging strategy and an admissible, constrained variance-optimal signed …
Persistent link: https://www.econbiz.de/10010263048
, is the risk management of the embedded options by a tractable and realistic hedging strategy. The long maturity of life …--insurance products makes it necessary to lift the Black/Scholes assumptions and consider an uncertain volatility scenario, thus …
Persistent link: https://www.econbiz.de/10010263089
function of both assets. We solve the mean-variance hedging prob- lem completely and prove that the optimal strategy consists …
Persistent link: https://www.econbiz.de/10010324031
the Hedging Numeraire to equal the Market Portfolio and find the mean-variance efficient portfolios. …
Persistent link: https://www.econbiz.de/10010324061
are obtained and applied to numerically analyze the impact of the agents' risk aversion on the implied volatility of …
Persistent link: https://www.econbiz.de/10010281543
A discrete time model of financial markets is considered. It is assumed that the relative jumps of the risky security price are independent non-identically distributed random variables. In the focus of attention is the expected non-risky profit of the investor that arises when the jumps of the...
Persistent link: https://www.econbiz.de/10010293743
Market analysts and central banks often use the implied volatility of FX options as an indicator of expected exchange … deviate the value of implied volatility from the exchange rate variability expected by the market. These biasing factors are … one month. However, implied volatility provides a biased estimate, and does not encompass the information included in …
Persistent link: https://www.econbiz.de/10010322417